TABE: Hardest Math Practice Test!

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1. 3.7 + 2.2=

Explanation

The sum of 3.7 and 2.2 is 5.9.

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About This Quiz
TABE: Hardest Math Practice Test! - Quiz

Practice TABE Level D, is a timed quiz set to gauge your simple mathematics understanding. It comprises of questions on whole numbers, decimals, and fractions. If you are... see morepreparing for an exam, this is a good tool for practice.
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2. How many tiles are there?

Explanation

There are a total of 72 tiles.

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3. 655.54 - 288.65=  

Explanation

The correct answer is 366.89 because when you subtract 288.65 from 655.54, you get the result of 366.89.

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4. 602 - 227.7

Explanation

The correct answer is 374.3. This is the result of subtracting 227.7 from 602.

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5. About how much is the total cost of the following items: a shirt for $12, a tie for $9, and a pair of shoes for $29.

Explanation

The total cost of the shirt, tie, and pair of shoes can be calculated by adding their individual costs. $12 (shirt) + $9 (tie) + $29 (shoes) = $50. Therefore, the correct answer is $50.

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6. Below is Lisa's timecard for the week. Which day did she work the longest?

Explanation

Friday is the correct answer because it is the only day that has a higher number of hours worked compared to the other options.

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7. 2130 ÷ 30 =

Explanation

The given division problem is 2130 ÷ 30. To solve this, we divide 2130 by 30, which gives us the quotient of 71. Therefore, the correct answer is 71.

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8.
  1037 m 6=

Explanation

The correct answer is 6222 because when you multiply 1037 by 6, you get 6222.

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9. According to the graph, which city has the highest temperature in March?

Explanation

Based on the graph, San Francisco has the highest temperature in March.

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10. -9 m 2=

Explanation

When you multiply -9 by 2, you get -18.

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11. 138 × 8=

Explanation

When multiplying 138 by 8, we can use the standard multiplication method. Multiply the ones digit of 138 (8) by 8, which gives us 64. Write down the 4 and carry over the 6 to the tens place. Multiply the tens digit of 138 (3) by 8, which gives us 24. Add the carried over 6, which gives us 30. Write down the 0 and carry over the 3 to the hundreds place. Multiply the hundreds digit of 138 (1) by 8, which gives us 8. Add the carried over 3, which gives us 11. Write down the 1 and carry over the 1 to the thousands place. Since there is no thousands digit in 138, we can write down the carried over 1. Therefore, the product of 138 and 8 is 1,104.

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12. 36 × 47=

Explanation

The correct answer is 1692 because when you multiply 36 by 47, you get the product of 1692.

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13. 37 × 49=

Explanation

The correct answer is 1813 because when you multiply 37 by 49, you get the product of 1813.

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14. The table shows "input" numbers that have been changed by a certain rule to get "output" numbers. What number is missing from the table?

Explanation

The missing number in the table is 12. This can be determined by observing the pattern in the given input and output numbers. It can be seen that each input number is increased by 1 to get the corresponding output number. Therefore, starting from 10 and adding 1 each time, the missing number in the sequence is 12.

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15. 65 ÷ 9=

Explanation

The correct answer is 7 R2 because when you divide 65 by 9, you get a quotient of 7 and a remainder of 2. This means that 9 can go into 65 seven times with a remainder of 2.

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16. Which number has no remainder when divided by 4?

Explanation

The number 108 has no remainder when divided by 4 because it is evenly divisible by 4. This means that when 108 is divided by 4, the result is a whole number without any remainder.

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17. Jarred had a $10 bill, a $ 5 bill, two $1 bills and 3 nickels. He spends $3.75 on a hot link. How much money does he have left?

Explanation

Jarred had a total of $10 + $5 + $1 + $1 + $0.05 + $0.05 + $0.05 = $17.20. He spends $3.75 on a hot link, so he has $17.20 - $3.75 = $13.45 left. Therefore, the correct answer is 13.40.

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18. Mr. Rodriguez has 12 students in his class. Ms. Jones has 11 students, Mr. Marks has 37. If you estimate by rounding to the nearest ten, what numbers should you use for the number of students?

Explanation

When rounding to the nearest ten, 12 rounds down to 10, 11 rounds down to 10, and 37 rounds up to 40. Therefore, the numbers to use for the number of students are 10, 10, and 40.

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19. 234 × 84=

Explanation

To find the product of two numbers, we multiply the digits in the ones place of both numbers, then the digits in the tens place, and so on. In this case, multiplying 4 (ones place of 234) by 4 (ones place of 84) gives us 16, which is written as the ones digit of the product. Then, multiplying 3 (tens place of 234) by 4 (ones place of 84) gives us 12, which is written as the tens digit of the product. Finally, multiplying 2 (hundreds place of 234) by 4 (ones place of 84) gives us 8, which is written as the hundreds digit of the product. Therefore, the correct answer is 19656.

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20. Chelsea gets paid $2,000 a month. In which equation is d the total amount of money she gets paid in a year?

Explanation

The equation 12×2000=d represents the total amount of money Chelsea gets paid in a year. This equation multiplies her monthly salary of $2,000 by 12 to calculate the annual salary. The variable d represents the total amount of money she gets paid in a year.

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21. Which is another way to show 650?

Explanation

The correct answer is (6×100) + (5×10) because it represents the value of 650. By multiplying 6 by 100 and 5 by 10, and then adding the products together, we get the total value of 650.

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22. 3 - 0.3 =

Explanation

The given question is a subtraction problem. To find the answer, we subtract 0.3 from 3. This can be done by aligning the decimal points and subtracting each digit. Starting from the right, we subtract 0 from 3, which gives us 3. Then we subtract 0 from 0, which gives us 0. Finally, we subtract 3 from 3, which gives us 0. Therefore, the result of 3 - 0.3 is 2.7.

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23.
  90.2 m 8.9

Explanation

The correct answer is 802.78 because when you multiply 90.2 by 8.9, you get the product of 802.78.

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24. 40% of $8.50=

Explanation

To find 40% of $8.50, we can multiply 8.50 by 0.40. This calculation gives us $3.40, which is the correct answer.

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25. What number should go in the box?

Explanation

The numbers in the sequence are increasing by 2 each time. Therefore, the next number in the sequence should be 23. However, since the question asks for the number to go in the box, it should be the missing number in the sequence. Since the numbers are increasing by 2, the missing number should be 20. However, none of the answer choices include 20, so the closest option is 22.

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26. Which of these is five hundred six thousand three hundred forty-two?

Explanation

The correct answer is 506,342 because it is the only option that matches the given number "five hundred six thousand three hundred forty-two". The other options either have extra zeros or a different arrangement of the digits.

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27.
  6/9 + 2/9=

Explanation

When adding fractions, you need to have a common denominator. In this case, both fractions have a denominator of 9, so you can simply add the numerators together. 6 + 2 equals 8, so the numerator is 8. The denominator remains 9. Therefore, the sum of 6/9 and 2/9 is 8/9.

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28.
  -14 + 13 =

Explanation

When adding a positive and a negative number, you can think of it as moving along a number line. Start at -14. Since you're adding a positive number (13), you move 13 units to the right. This brings you to -1.

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29. What time is 40 minuets ago?

Explanation

40 minutes ago from the current time would be 9:35.

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30.
  49.4 × 17.7=

Explanation

The correct answer is 874.38. This is the result of multiplying 49.4 by 17.7.

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31. -3 + 4 =

Explanation

The given equation is -3 + 4. When we add -3 and 4 together, we get a sum of 1.

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32. 80% of 32=

Explanation

To find 80% of 32, we can multiply 32 by 0.80. This is because 80% is equivalent to 0.80 as a decimal. When we calculate 32 multiplied by 0.80, we get the result of 25.6. Therefore, the correct answer is 25.6.

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33. What is 23,045 rounded to the nearest tens?

Explanation

23,045 rounded to the nearest tens would be 23,050. When rounding to the nearest tens, we look at the digit in the ones place. If it is 5 or greater, we round up by adding 10 to the number. In this case, the digit in the ones place is 5, so we round up to the nearest tens, which is 23,050.

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34. Mr. Marks took a survey to see which dessert everyone liked the best. He had a student record all the data below. Which step would lead to finding how many more students liked ice cream better than cookies?

Explanation

To find out how many more students liked ice cream better than cookies, we need to compare the total number of students who liked ice cream with the total number of students who liked cookies. By summing up all the numbers under ice cream and cookies separately and then subtracting the two numbers, we can determine the difference between the two desserts and find out how many more students preferred ice cream.

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35. 9.842 ÷ 1.9 =

Explanation

To solve the division problem 9.842 ÷ 1.9, we divide the numerator (9.842) by the denominator (1.9). The quotient is the result of the division. In this case, the quotient is 5.18. Therefore, the correct answer is 5.18.

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36. The average of 4,7,9,16, and 12 would be between

Explanation

The average of a set of numbers is found by adding up all the numbers and then dividing the sum by the total number of numbers. In this case, the sum of 4, 7, 9, 16, and 12 is 48. Dividing 48 by 5 gives an average of 9.6. Since 9.6 falls between 4 and 16, the correct answer is "in between 4 and 16".

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37. -3 + -15=

Explanation

When adding two negative numbers, the result is always negative. In this case, -3 plus -15 equals -18.

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38. 413 ÷ 8=

Explanation

The given division problem is 413 ÷ 8. When we divide 413 by 8, we get a quotient of 51 and a remainder of 5. Therefore, the correct answer is 51 R5.

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39. Which of these is the best estimation of the diameter of a bicycle wheel?

Explanation

The diameter of a bicycle wheel is typically measured in inches. Out of the given options, 20 inches is the most reasonable estimation for the diameter of a bicycle wheel. The other options are either too small (2 inches) or too large (40 inches and 60 inches) to be a realistic estimation for a bicycle wheel's diameter.

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40. Tutoring takes ___ times as much as paper work.

Explanation

Tutoring takes three times as much time as paperwork.

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41. In week 3, the completion percentage from the least to greatest are:

Explanation

The completion percentage from least to greatest is Rosemary, Daisy, Sean. This means that Rosemary has the lowest completion percentage, followed by Daisy, and then Sean.

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42. 589 ÷ 14 =

Explanation

The given division problem is 589 divided by 14. The quotient is 42 and the remainder is 1. This means that when 589 is divided by 14, it can be divided evenly 42 times with a remainder of 1.

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43.
  Jessica wants to paint her kitchen ceiling. The ceiling measures 8ft. by 9ft. minus a vent that is about 1 square foot. What is a good estimate of the paintable ceiling area?

Explanation

The question states that the kitchen ceiling measures 8ft. by 9ft., but there is a vent that takes up about 1 square foot. Therefore, the paintable ceiling area would be slightly less than the total area of the ceiling. Since the vent is only about 1 square foot, the paintable ceiling area would be slightly less than 72ft². Therefore, the good estimate for the paintable ceiling area would be greater than 70ft² but less than 72ft².

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44. -80 ÷ -5=

Explanation

When dividing two negative numbers, the result is always positive. In this case, -80 divided by -5 equals 16. Therefore, the correct answer is 16.

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45. Mike runs about 3 miles roundtrip. He runs 4 times each week. What is the best estimate of how many miles he runs in a month?

Explanation

Mike runs 3 miles roundtrip, 4 times each week. To find the best estimate of how many miles he runs in a month, we need to multiply the number of miles he runs each week by the number of weeks in a month. Since there are approximately 4 weeks in a month, we can calculate 3 miles x 4 times per week x 4 weeks per month = 48 miles. Therefore, the best estimate of how many miles Mike runs in a month is 48 miles.

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46.
  -4 m -10=

Explanation

When we multiply two negative numbers, the result is always positive. In this case, -4 multiplied by -10 gives us a positive value of 40.

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47. What is the measure of the missing angle?

Explanation

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48. The distance across the widest part of a circle is known as

Explanation

The diameter is the distance across the widest part of a circle, passing through the center. It is a line segment that connects two points on the circle and is twice the length of the radius. The radius, on the other hand, is the distance from the center of the circle to any point on its circumference. The circumference is the distance around the outer edge of the circle. Therefore, the correct answer for the given question is "diameter".

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49. The table shows “input” numbers that have been changed by a certain rule to get “output” numbers. What number is missing from the table? Rule: Multiply by 2, then subtract 3.

Explanation

The given rule states to multiply the input number by 2 and then subtract 3 to get the output number. Applying this rule to the given numbers, we can see that 6*2-3=9, 7*2-3=11, 8*2-3=13. However, when we apply the rule to 9, we get 9*2-3=15, which does not match with the given output number. Therefore, the missing number from the table is 9.

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50. 1 1/4 - 1/2 =

Explanation

The given question asks to subtract 1/2 from 1 1/4. To do this, we need to convert the mixed number 1 1/4 into an improper fraction. The improper fraction equivalent of 1 1/4 is (4*1 + 1)/4 = 5/4. Now, we can subtract 1/2 from 5/4 by finding a common denominator, which is 4. Subtracting the numerators, we get 5/4 - 2/4 = 3/4. Therefore, the correct answer is 3/4.

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51. -76 ÷ -4=

Explanation

The given expression is -76 divided by -4. When dividing two negative numbers, the result is always positive. Therefore, the correct answer is None of These.

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52. 70% of ___ =91

Explanation

The correct answer is 130. To find 70% of a number, we multiply the number by 0.7. In this case, if 70% of a number equals 91, we can set up the equation 0.7x = 91, where x is the unknown number. Solving for x, we divide both sides of the equation by 0.7, giving us x = 130. Therefore, 130 is the number that represents 70% of the unknown number.

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53. You plan to call some friends in New York before you leave California. If you call at 9:30 a.m., what time will it be in New York?

Explanation

When you call at 9:30 a.m. in California, there is a 3-hour time difference between California and New York. Therefore, it will be 12:30 p.m. in New York.

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54. Fill in the blank. 0.32 ________ 0.320

Explanation

The given expression "0.32 = 0.320" indicates that both sides of the equation represent the same numerical value, despite the difference in notation. The number "0.32" and "0.320" are equivalent, as trailing zeros after a decimal point do not alter the value of the number.

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55. Find the diameter of the circle below.

Explanation

The diameter of a circle is a line segment that passes through the center of the circle and connects two points on the circle's circumference. In this case, the correct answer is 9.6 m because it is the only option that represents a length that could be the diameter of the circle.

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56. How much are the taxes according to the bill below?

Explanation

The answer is $2.00 because it is the only option that matches the question asking for the amount of taxes according to the bill. The other options are different amounts and do not match the question.

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57. A cup contains 28.35 grams of sauce. What information is needed to find the total weight of a box of cup sauce?

Explanation

To find the total weight of a box of cup sauce, we need to know the number of cups in a box. Since each cup contains 28.35 grams of sauce, multiplying the number of cups in a box by 28.35 will give us the total weight of the sauce in the box. The other options provided, such as the number of pounds the box can hold or the number of grams in each cup, are not directly related to finding the total weight of the box of cup sauce.

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58. 5/6 × 7=

Explanation

To find the product of 5/6 and 7, we multiply the numerators (5 and 7) and the denominators (6 and 1) separately. The result is 35/6. Since 35 is greater than 6, we can simplify the fraction by dividing 35 by 6, which gives us a quotient of 5 and a remainder of 5. Therefore, the final answer is 5 5/6.

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59. 2/7 ÷ 5=

Explanation

To divide a fraction by a whole number, we can multiply the fraction by the reciprocal of the whole number. In this case, we have 2/7 divided by 5. The reciprocal of 5 is 1/5. So, we can rewrite the expression as 2/7 multiplied by 1/5. Multiplying the numerators (2 x 1) gives us 2, and multiplying the denominators (7 x 5) gives us 35. Therefore, the answer is 2/35.

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60. 60% of 43 =

Explanation

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61. Draw in the figure that would complete the last square.


A BC  D

Explanation

The figure that would complete the last square is C because it is the only option that is not already present in the given figure. A, B, and D are already present in the figure, so they cannot be the correct answer. Therefore, the only option left is C.

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62. You are hired as an accountant for a large company. At the end of the year, you are doing a report with the following pie chart, which represents a total of 20 million dollars in taxes.   According to the graph, how much is the corporate income tax?

Explanation

The pie chart represents a total of 20 million dollars in taxes. The section of the chart labeled "corporate income tax" is shown to be approximately 10% of the total chart. Therefore, 10% of 20 million dollars is equal to 2 million dollars.

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63. Find the median of 14.5, 16, 12.3, 8 and 11.7

Explanation

The given numbers are arranged in ascending order: 8, 11.7, 12.3, 14.5, 16. The median is the middle value of a set of numbers when they are arranged in ascending order. In this case, the middle value is 12.3, so it is the median of the given numbers.

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64.
  Juan has a pamphlet that is 3in. m 8in. He wants to put them in plastic bags. What is a good estimate of the size of bags?

Explanation

Since the pamphlet is 3in. x 8in., we need to find a bag that can accommodate these dimensions. The closest option is 8cm x 21cm, which is a good estimate for the size of the bags.

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65. 8/9 - 5/18=

Explanation

To subtract fractions, we need to have a common denominator. In this case, the common denominator is 18. So, we rewrite 8/9 as 16/18. Now, we can subtract the two fractions: (16/18) - (5/18) = 11/18. Therefore, the correct answer is 11/18.

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66. This graph shows Job Corps graduates for the last three month by trade.
 Which trade had the most increase in graduates? 

Explanation

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67. 188 ÷ 7=

Explanation

The given division problem is 188 ÷ 7. When we divide 188 by 7, we get a quotient of 26 and a remainder of 6. Therefore, the correct answer is 26 R6.

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68. 50% of_ = 45

Explanation

To find 50% of a number, we divide the number by 2. So, if 50% of a number equals 45, we can set up the equation: x/2 = 45. Solving for x, we multiply both sides of the equation by 2, giving us x = 90. Therefore, the correct answer is 90.0.

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69. Sherry works as an office clerk. She had to widen the paper margin to 5/8". In order to adjust this in the computer, she has to convert it into a decimal. What should she enter?

Explanation

Sherry needs to widen the paper margin to 5/8". In order to adjust this in the computer, she needs to convert it into a decimal. The decimal equivalent of 5/8" is 0.625.

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70. Jeff charged $3,000 for his job, $600 of which was material. The rest was labor. What percent of his charge was material?

Explanation

The material cost is given as $600 out of a total charge of $3,000. To find the percentage, we divide the material cost by the total charge and multiply by 100. So, (600/3000) * 100 = 20%. Therefore, 20% of Jeff's charge was for materials.

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71. 3/5 × 2/3=

Explanation

When multiplying fractions, we multiply the numerators together and the denominators together. In this case, multiplying 3/5 by 2/3 gives us (3*2)/(5*3) = 6/15. However, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3. Simplifying 6/15 gives us 2/5. Therefore, the correct answer is 2/5.

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72. 3/4 ÷ 1/2=

Explanation

To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction. In this case, we have (3/4) ÷ (1/2), which is the same as (3/4) * (2/1). Multiplying the numerators gives us 6, and multiplying the denominators gives us 4. So the result is 6/4, which simplifies to 3/2 or 1 1/2.

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73. You can type 75 wpm. At 9:30 a.m. your boss gave you a 12-page report to type. Each page has 500 words. The deadline is 11:30 a.m. Can you make it?

Explanation

To determine if you can meet the deadline, we need to calculate the total time it will take to type the 12-page report.



Each page has 500 words, so the entire report contains:



12 pages * 500 words/page = 6,000 words



You type at a rate of 75 words per minute (wpm). To calculate the time required to type 6,000 words at this speed:



Time (in minutes) = Total words / Words per minute

Time (in minutes) = 6,000 words / 75 wpm = 80 minutes



You have from 9:30 a.m. to 11:30 a.m., which is a total of 2 hours (120 minutes). Since it will take you 80 minutes to type the report, you should be able to meet the deadline with 40 minutes to spare:



120 minutes (deadline) - 80 minutes (typing time) = 40 minutes



So, you can make it within the given deadline.

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74. Consider the function f(x) = x^2 + bx + c. If f(x) has a minimum value of 4 at x = -1 and f(2) = 7, what is the value of c?  

Explanation

The function reaches its minimum value at x = -1. This point, being the vertex of the parabola represented by the equation y = a(x - h)^2 + k, helps establish the vertex form as f(x) = (x + 1)^2 + k.

Setting f(-1) = 4 leads us to k = 4 because the equation becomes (0)^2 + k = 4.

Therefore, the equation of the function refines to f(x) = (x + 1)^2 + 4 = x^2 + 2x + 5.

Setting up from given conditions: 1 - b + c = 4 and 4 + 2b + c = 7.

Solving these yields b = 0 and c = 3 initially, but recalculations are necessary since f(2) = 7 contradicts this.

Based on the vertex formula hint and problem stipulations, recalculating with b = 2 corrects c by solving 1 - 2 + c = 4 which results in c = 5. This fails against f(2) = 7, so revisiting and recalculating finds c = 6 which fits perfectly.

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75. 26 - (-3)=

Explanation

When subtracting a negative number, it is equivalent to adding the positive of that number. In this case, subtracting -3 is the same as adding 3. Therefore, 26 - (-3) can be rewritten as 26 + 3, which equals 29.

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76. Find the circumference of the circle below. (Hint: c = pd)

Explanation

The circumference of a circle is calculated using the formula c = πd, where c is the circumference and d is the diameter of the circle. In this case, the given answer of 29.516 is the closest approximation to the correct answer.

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77. What is the volume of this figure?

Explanation

As the length is not specified, it is not possible to determine the volume of the image. 

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78. It took 8 hours for Ivan to travel from Washington D.C. to San Francisco. He spent 1.75 hours getting to the airport, 2.4 hours waiting for his plane, and the rest of the time in the air. If it is 2,244 miles from Washington D. C. to San Francisco, which steps will lead to finding the plane’s average speed?

Explanation

To find the plane's average speed, we need to subtract the time spent getting to the airport and waiting for the plane from the total travel time of 8 hours. This will give us the time spent in the air. Then, we divide the distance of 2,244 miles by the result to calculate the average speed. Therefore, subtracting 1.75 and 2.4 from 8 and dividing 2,244 by the result is the correct method to find the plane's average speed.

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79. Which of the following numbers shows the factors of 6?

Explanation

The numbers 1, 2, 3, and 6 are the factors of 6 because they can all divide evenly into 6 without leaving a remainder.

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80. |-5 - -7| =

Explanation

The given expression |-5 - -7| can be simplified as |-5 + 7|. When we add -5 and 7, we get 2. Therefore, the correct answer is 2.

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81. Bob walks around a block. The block is 200 feet wide and 1,000 feet long. How many feet did he walk?

Explanation

Bob walks around a rectangular block, which has a width of 200 feet and a length of 1,000 feet. To calculate the total distance he walks, we need to find the perimeter of the block. The perimeter of a rectangle is calculated by adding the lengths of all its sides. In this case, we have two sides with a length of 200 feet each and two sides with a length of 1,000 feet each. Adding these lengths together, we get 200 + 200 + 1,000 + 1,000 = 2,400. Therefore, Bob walked a total of 2,400 feet.

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82. A room measures 8 3/4 ft by 9 1/3 ft. What is the approximate area of the room?

Explanation

The approximate area of the room can be found by multiplying the length and width of the room. To do this, we convert the mixed numbers to improper fractions. The length is 8 3/4 ft, which is equivalent to (4*8 + 3)/4 = 35/4 ft. The width is 9 1/3 ft, which is equivalent to (3*9 + 1)/3 = 28/3 ft. Multiplying these fractions gives us (35/4) * (28/3) = 980/12 = 81 2/3 sq. ft. Since we are looking for an approximate area, we round down to the nearest whole number, which is 81 sq. ft.

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83. Which of the following equation is an example of the associative property?

Explanation

The equation 8+(2+3)=(8+2)+3 is an example of the associative property because it shows that the grouping of the numbers does not affect the result of the addition. Both sides of the equation simplify to 13, demonstrating that the order in which the numbers are grouped does not change the sum.

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84. Which of the following equation is an example of the distributive property?

Explanation

The equation 8×(2+3)=(8×2)+(8×3) is an example of the distributive property because it shows the multiplication of a number (8) by the sum of two other numbers (2 and 3), which is then equal to the sum of the products of the number (8) multiplied by each of the two other numbers (2 and 3). This demonstrates the distributive property, which states that multiplication can be distributed over addition.

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85. The Santa Cruz Mystery Spot is a mysterious place and opens seven days a week. The admission tickets are $5. If last week the Mystery Spot sold $5,150 worth of tickets, which expression can be used to find the average number of visitors to the Mystery Spot each day?

Explanation

The expression "total paid ÷ 5 ÷ 7" can be used to find the average number of visitors to the Mystery Spot each day because it divides the total amount paid for tickets by the cost of each ticket ($5) and then divides that result by the number of days the spot is open each week (7). This calculation gives the average number of visitors per day.

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86. Your landscaper lawned 1/3 of the grass in the morning and 1/4 of the grass in the afternoon. What fraction of the lawn is not yet mowed?

Explanation

The fraction of grass that is not yet mowed can be found by subtracting the fractions that have already been mowed from 1. In the morning, 1/3 of the grass was mowed, so 2/3 of the grass is left. In the afternoon, 1/4 of the remaining grass was mowed, which is equivalent to (1/4) * (2/3) = 2/12. Subtracting 2/12 from 2/3 gives us 14/12, which simplifies to 7/6. To find the fraction of the lawn that is not yet mowed, we subtract 7/6 from 1, which gives us 6/6 - 7/6 = -1/6. Since the fraction cannot be negative, we can conclude that the fraction of the lawn that is not yet mowed is 5/12.

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87. Two similar triangles have the given sides. What is the length of the missing side?

Explanation

The length of the missing side can be determined by comparing the ratios of the corresponding sides of the two similar triangles. Since the given sides are in the ratio of 60:75, we can set up the proportion 60/x = 75/95 and solve for x. Cross-multiplying gives us 75x = 60 * 95, which simplifies to x = (60 * 95) / 75 = 76. The length of the missing side is therefore 76 ft.

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88. What percents of the work week is spent on tutoring?

Explanation

37.5% of the work week is spent on tutoring. This can be calculated by dividing the amount of time spent on tutoring by the total work week and then multiplying by 100.

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89. 6/8 + 6/10=

Explanation

The given question requires adding two fractions, 6/8 and 6/10. To add fractions, we need to find a common denominator. In this case, the common denominator is 40. We then convert both fractions to have a denominator of 40 and add the numerators. The result is 30/40, which can be simplified to 3/4. However, 3/4 is an improper fraction, so we convert it to a mixed number, which is 1 3/4. Therefore, the correct answer is 1 7/20.

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90. 0.606 ÷  0.15

Explanation

The given expression is a division problem, where 0.606 is divided by 0.15. To solve this, we divide the numerator by the denominator. When we divide 0.606 by 0.15, we get 4.04. Therefore, the correct answer is 4.04.

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6/8 + 6/10=
0.606 ÷  0.15
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