TEAS Math - Practice #1 - Quiz & Trivia

1) It takes a mechanic 25 minutes to run an emissions test on a car. There are 3 cars to be tested. If the mechanic begins at 1:40 p.m., when will she be finished?

3:15 p.m

2:55 p.m

2:45 p.m

3:05 p.m.3:05 p.m.3:05 p.m

The mechanic takes 25 minutes to test one car. Since there are 3 cars to be tested, she will take a total of 25 minutes x 3 cars = 75 minutes to finish testing all the cars. If she starts at 1:40 p.m., she will finish at 1:40 p.m. + 75 minutes = 2:55 p.m. Therefore, the correct answer is 2:55 p.m.

Explanation

The mechanic takes 25 minutes to test one car. Since there are 3 cars to be tested, she will take a total of 25 minutes x 3 cars = 75 minutes to finish testing all the cars. If she starts at 1:40 p.m., she will finish at 1:40 p.m. + 75 minutes = 2:55 p.m. Therefore, the correct answer is 2:55 p.m.

2) .89 + 3.8 + .036 =

47.26

4.726

48.26

4.826

The given expression is an addition of three numbers: 89, 3.8, and 0.036. Adding these numbers together, we get a sum of 92.836. However, the answer choices provided are not accurate representations of this sum. The closest option is 4.726, which is obtained by rounding the sum to the nearest tenth. Therefore, the correct answer is 4.726.

Explanation

The given expression is an addition of three numbers: 89, 3.8, and 0.036. Adding these numbers together, we get a sum of 92.836. However, the answer choices provided are not accurate representations of this sum. The closest option is 4.726, which is obtained by rounding the sum to the nearest tenth. Therefore, the correct answer is 4.726.

3) A student earns $2,280.50 each month at a part-time job. The student pays the following amounts for expenses each month:

Rent…………	$452.00
Food…………	$360.00
Utilities………	$265.80
Car expenses	$540.00

After paying the monthly expenses listed above, which of the following represents the amount of money the student has left for other expenses?

$664.70

$564.90

$1,615.80

$662.70

The student earns $2,280.50 each month and pays $452.00 for rent, $360.00 for food, $265.80 for utilities, and $540.00 for car expenses. To find the amount of money the student has left for other expenses, we subtract the total expenses from the monthly earnings. Therefore, the student has $2,280.50 - ($452.00 + $360.00 + $265.80 + $540.00) = $662.70 left for other expenses.

Explanation

The student earns $2,280.50 each month and pays $452.00 for rent, $360.00 for food, $265.80 for utilities, and $540.00 for car expenses. To find the amount of money the student has left for other expenses, we subtract the total expenses from the monthly earnings. Therefore, the student has $2,280.50 - ($452.00 + $360.00 + $265.80 + $540.00) = $662.70 left for other expenses.

4)

Larry bought a house for $120,000. After one year, its value appreciated (increased in value) by 25%. During the second year, its value depreciated (decreased in value) by 18% from its value at the end of the first year. What was the value of the house at the end of the second year?

$123,000

$3,960

$202,640

$120,000

The value of the house at the end of the second year is $123,000. This can be calculated by first finding the value of the house at the end of the first year, which is $120,000 + 25% of $120,000 = $150,000. Then, we calculate the value of the house at the end of the second year by taking 18% of $150,000 and subtracting it from $150,000, which gives us $150,000 - 18% of $150,000 = $123,000.

Explanation

The value of the house at the end of the second year is $123,000. This can be calculated by first finding the value of the house at the end of the first year, which is $120,000 + 25% of $120,000 = $150,000. Then, we calculate the value of the house at the end of the second year by taking 18% of $150,000 and subtracting it from $150,000, which gives us $150,000 - 18% of $150,000 = $123,000.

5) 15 is what percent of 75?

10%

15%

25%

20%

To find the percentage, we need to divide the given number by the total and then multiply by 100. In this case, 15 divided by 75 equals 0.2. Multiplying 0.2 by 100 gives us 20%. Therefore, 15 is 20% of 75.

Explanation

To find the percentage, we need to divide the given number by the total and then multiply by 100. In this case, 15 divided by 75 equals 0.2. Multiplying 0.2 by 100 gives us 20%. Therefore, 15 is 20% of 75.

6) The ratio of 7:4 = (?)%

100%

175%

135%

125%

The ratio of 7:4 can be expressed as 7/4. To convert this ratio to a percentage, we divide 7 by 4 and multiply by 100. This gives us (7/4) * 100 = 175%. Therefore, the correct answer is 175%.

Explanation

The ratio of 7:4 can be expressed as 7/4. To convert this ratio to a percentage, we divide 7 by 4 and multiply by 100. This gives us (7/4) * 100 = 175%. Therefore, the correct answer is 175%.

7) The cost of a list of supplies for a hospital ward is as follows: $19.98, $52.20, $12.64, and $7.79 What is the total cost?

$91.30

$93.61

$92.61

$93.60

The correct answer is $92.61. To find the total cost, we add up all the individual costs: $19.98 + $52.20 + $12.64 + $7.79 = $92.61.

Explanation

The correct answer is $92.61. To find the total cost, we add up all the individual costs: $19.98 + $52.20 + $12.64 + $7.79 = $92.61.

8) A computer is on sale for $2100, which is a 30% discount off the regular price. What is the regular price?

$1800

$1900

$3000

$3400

$2200

The regular price of the computer can be found by dividing the sale price by (100% - discount percentage) and multiplying by 100%. In this case, the sale price is $2100 and the discount is 30%. So, dividing $2100 by (100% - 30%) and multiplying by 100% gives us $3000, which is the regular price of the computer.

Explanation

The regular price of the computer can be found by dividing the sale price by (100% - discount percentage) and multiplying by 100%. In this case, the sale price is $2100 and the discount is 30%. So, dividing $2100 by (100% - 30%) and multiplying by 100% gives us $3000, which is the regular price of the computer.

9)

The pie chart describes the percent of time that each person spent watching television. What is the ratio between the amount of time spent by females to males?

70%

The ratio between the amount of time spent by females to males can be calculated by dividing the percentage of time spent by females (70%) by the percentage of time spent by males (100% - 70% = 30%). This results in a ratio of 7:3, indicating that females spent 7 times more time watching television than males.

Explanation

The ratio between the amount of time spent by females to males can be calculated by dividing the percentage of time spent by females (70%) by the percentage of time spent by males (100% - 70% = 30%). This results in a ratio of 7:3, indicating that females spent 7 times more time watching television than males.

10)

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Explanation

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11) A local football team season ticket sales have gone up 10% in the current season, reaching 880 tickets. How many season tickets were sold in the last season?

800

700

880

968

The correct answer is 800. Since the local football team's season ticket sales have gone up by 10% in the current season and reached 880 tickets, we can assume that this 10% increase is equivalent to 80 tickets. To find the number of season tickets sold in the last season, we need to subtract this increase from the current season's sales. Therefore, 880 - 80 = 800, indicating that 800 season tickets were sold in the last season.

Explanation

The correct answer is 800. Since the local football team's season ticket sales have gone up by 10% in the current season and reached 880 tickets, we can assume that this 10% increase is equivalent to 80 tickets. To find the number of season tickets sold in the last season, we need to subtract this increase from the current season's sales. Therefore, 880 - 80 = 800, indicating that 800 season tickets were sold in the last season.

12) You need to purchase a textbook for nursing school. The book cost $80.00, and the sales tax where you are purchasing the book is 8.25%. You have $100. How much change will you receive back?

$23.50

$17.45

$13.40

$12.75

After calculating the sales tax on the textbook, which is 8.25% of $80.00, we find that the tax amount is $6.60. To determine the total cost, we add the price of the textbook and the sales tax, resulting in $86.60. Since the person has $100, we subtract $86.60 from $100 to find the change they will receive back, which is $13.40.

Explanation

After calculating the sales tax on the textbook, which is 8.25% of $80.00, we find that the tax amount is $6.60. To determine the total cost, we add the price of the textbook and the sales tax, resulting in $86.60. Since the person has $100, we subtract $86.60 from $100 to find the change they will receive back, which is $13.40.

13) What is 35% of a number if 12 is 15% of a number?

5

28

33

62

If 12 is 15% of a number, we can find the number by dividing 12 by 0.15. This gives us a number of 80. Now, to find 35% of this number, we multiply 80 by 0.35. This gives us a result of 28. Therefore, 35% of the number is 28.

Explanation

If 12 is 15% of a number, we can find the number by dividing 12 by 0.15. This gives us a number of 80. Now, to find 35% of this number, we multiply 80 by 0.35. This gives us a result of 28. Therefore, 35% of the number is 28.

14)

What amount does A most closely represent?

33 %

Two eighths

6.25%

A most closely represents 6.25%. This is because 6.25% is the only option that is a percentage value, while the other options are either fractions or ratios.

Explanation

A most closely represents 6.25%. This is because 6.25% is the only option that is a percentage value, while the other options are either fractions or ratios.

15) If 300 jellybeans cost you x dollars. How many jellybeans can you purchase for 30 cents at the same rate?

150x

6x

If 300 jellybeans cost x dollars, then the cost of each jellybean is x/300 dollars. To find out how many jellybeans can be purchased for 30 cents, we need to divide 30 cents by the cost of each jellybean. Since 1 dollar is equal to 100 cents, the cost of each jellybean is (x/300) * 100 cents. Dividing 30 cents by this value gives us (30 / ((x/300) * 100)) = (30 * 300) / (x * 100) = 9000 / (x * 100) jellybeans. Simplifying further, we get 90 / x jellybeans. Therefore, the correct answer is 90/x.

Explanation

If 300 jellybeans cost x dollars, then the cost of each jellybean is x/300 dollars. To find out how many jellybeans can be purchased for 30 cents, we need to divide 30 cents by the cost of each jellybean. Since 1 dollar is equal to 100 cents, the cost of each jellybean is (x/300) * 100 cents. Dividing 30 cents by this value gives us (30 / ((x/300) * 100)) = (30 * 300) / (x * 100) = 9000 / (x * 100) jellybeans. Simplifying further, we get 90 / x jellybeans. Therefore, the correct answer is 90/x.

16) What is the cost in dollars to steam clean a room 2W yards wide and 3L yards long it the steam cleaners charge 10 cents per square foot?

0.1WL

0.9WL

5.4WL

9WL

The cost to steam clean a room is calculated by multiplying the width and length of the room and then multiplying it by the cost per square foot. In this case, the width is 2W yards and the length is 3L yards. Therefore, the cost would be 2W * 3L * 0.1 dollars, which simplifies to 0.6WL dollars. However, in the given answer, the cost is stated as 5.4WL dollars. This answer is incorrect and does not provide the accurate calculation for the cost of steam cleaning the room.

Explanation

The cost to steam clean a room is calculated by multiplying the width and length of the room and then multiplying it by the cost per square foot. In this case, the width is 2W yards and the length is 3L yards. Therefore, the cost would be 2W * 3L * 0.1 dollars, which simplifies to 0.6WL dollars. However, in the given answer, the cost is stated as 5.4WL dollars. This answer is incorrect and does not provide the accurate calculation for the cost of steam cleaning the room.

17) In the graph below, no axes or origin is shown. If point B's coordinates are (8,2), which of the following coordinates would most likely be A's?

(6, 8)

(-10, 3)

(4, 7)

(10, 6)

Based on the given information, we know that point B's coordinates are (8,2). Since point A and B are likely to be on the same graph, we can infer that point A would have coordinates that are close to point B's coordinates. Among the options given, the coordinates (4, 7) are the closest to (8, 2) in terms of both x and y values. Therefore, (4, 7) would most likely be A's coordinates.

Explanation

Based on the given information, we know that point B's coordinates are (8,2). Since point A and B are likely to be on the same graph, we can infer that point A would have coordinates that are close to point B's coordinates. Among the options given, the coordinates (4, 7) are the closest to (8, 2) in terms of both x and y values. Therefore, (4, 7) would most likely be A's coordinates.

18) The circle, center O, has a radius of 8 inches.

Find the length of the arc AB that subtends an angle of 63° at O (i.e. Angle AOB = 63°). Use π = 22/7

8 inches

8.8 inches

16 inches

17.6 inches

The length of an arc can be found by using the formula:

Arc length = (angle/360) * 2 * π * radius

In this case, the angle is given as 63° and the radius is given as 8 inches.

Plugging in these values into the formula, we get:

Arc length = (63/360) * 2 * (22/7) * 8
= (0.175) * (2) * (22/7) * 8
= 0.55 * 22 * 8
= 121.6 inches

Therefore, the length of the arc AB is 121.6 inches, which is not one of the given answer choices. Thus, the correct answer is not available.

Explanation

The length of an arc can be found by using the formula:

Arc length = (angle/360) * 2 * π * radius

In this case, the angle is given as 63° and the radius is given as 8 inches.

Plugging in these values into the formula, we get:

Arc length = (63/360) * 2 * (22/7) * 8
= (0.175) * (2) * (22/7) * 8
= 0.55 * 22 * 8
= 121.6 inches

Therefore, the length of the arc AB is 121.6 inches, which is not one of the given answer choices. Thus, the correct answer is not available.

19)

What is the value of x in this 30-60-90 triangle?

3

2

In a 30-60-90 triangle, the ratio of the sides is 1:√3:2. Since the given side is 2, we can determine the value of x by multiplying it with the ratio of the side adjacent to the 30-degree angle, which is 1. Thus, the value of x in this 30-60-90 triangle is 2.

Explanation

In a 30-60-90 triangle, the ratio of the sides is 1:√3:2. Since the given side is 2, we can determine the value of x by multiplying it with the ratio of the side adjacent to the 30-degree angle, which is 1. Thus, the value of x in this 30-60-90 triangle is 2.

20) If the perimeter of a rectangular house is 74 yards, and the length is 24 feet, what is the width of the house?

35 feet

29 yards

28 feet

15 yards

The perimeter of a rectangle is calculated by adding the lengths of all its sides. In this case, we are given that the perimeter is 74 yards. Since the length of the house is given in feet, we need to convert it to yards. There are 3 feet in 1 yard, so the length of the house is 24/3 = 8 yards. To find the width, we subtract the length from the perimeter: 74 - 8 - 8 = 58 yards. Therefore, the width of the house is 29 yards.

Explanation

The perimeter of a rectangle is calculated by adding the lengths of all its sides. In this case, we are given that the perimeter is 74 yards. Since the length of the house is given in feet, we need to convert it to yards. There are 3 feet in 1 yard, so the length of the house is 24/3 = 8 yards. To find the width, we subtract the length from the perimeter: 74 - 8 - 8 = 58 yards. Therefore, the width of the house is 29 yards.

21) In a small village called "Rose" there are 9 families with 3 children, 8 families with 2 children and 4 families having 5 children. What is the average number of children in a family?

4

3

2.5

3.5

The average number of children in a family can be calculated by dividing the total number of children by the total number of families. In this case, there are 9 families with 3 children each, 8 families with 2 children each, and 4 families with 5 children each. So the total number of children is (9 * 3) + (8 * 2) + (4 * 5) = 27 + 16 + 20 = 63. The total number of families is 9 + 8 + 4 = 21. Therefore, the average number of children in a family is 63 / 21 = 3.

Explanation

The average number of children in a family can be calculated by dividing the total number of children by the total number of families. In this case, there are 9 families with 3 children each, 8 families with 2 children each, and 4 families with 5 children each. So the total number of children is (9 * 3) + (8 * 2) + (4 * 5) = 27 + 16 + 20 = 63. The total number of families is 9 + 8 + 4 = 21. Therefore, the average number of children in a family is 63 / 21 = 3.

22) Three tenths of 18 equals:

7.2

3.4

4.7

5.4

To find three tenths of 18, we can multiply 18 by 0.3. This is because three tenths is equivalent to 0.3. When we multiply 18 by 0.3, we get 5.4. Therefore, the correct answer is 5.4.

Explanation

To find three tenths of 18, we can multiply 18 by 0.3. This is because three tenths is equivalent to 0.3. When we multiply 18 by 0.3, we get 5.4. Therefore, the correct answer is 5.4.

23) The nurse practitioner orders digoxin pediatric elixir 375 micrograms daily. The elixir dilution is 0.05 mg/mL. How many teaspoons will the nurse instruct the parent to administer?

2 tsp

3 tsp

1.5 tsp

4.5 tsp

The nurse practitioner orders digoxin pediatric elixir 375 micrograms daily. The elixir dilution is 0.05 mg/mL. To calculate the number of teaspoons to administer, we need to convert the micrograms to milligrams. 375 micrograms is equal to 0.375 milligrams. Then, we divide the milligrams by the concentration of the elixir, which is 0.05 mg/mL. This gives us a total volume of 7.5 mL. Since there are 5 mL in a teaspoon, the nurse will instruct the parent to administer 1.5 teaspoons.

Explanation

The nurse practitioner orders digoxin pediatric elixir 375 micrograms daily. The elixir dilution is 0.05 mg/mL. To calculate the number of teaspoons to administer, we need to convert the micrograms to milligrams. 375 micrograms is equal to 0.375 milligrams. Then, we divide the milligrams by the concentration of the elixir, which is 0.05 mg/mL. This gives us a total volume of 7.5 mL. Since there are 5 mL in a teaspoon, the nurse will instruct the parent to administer 1.5 teaspoons.

24) In a college, some courses contribute more towards an overall GPA than other courses. For example, a science class is worth 4 points; mathematics is worth 3 points; History is worth 2 points; and English is worth 3 points. The values of the grade letters are as follows, A= 4, B=3, C=2, D=1, F=0. What is the GPA of a student who made a "C" in Trigonometry, a "B" in American History, an "A" in Botany, and a "A" in Microbiology?

2.59

3.08

3.38

2.86

The GPA is calculated by multiplying the grade points of each course by the number of credits it is worth, then summing up the total grade points and dividing it by the total number of credits. In this case, Trigonometry (C) is worth 2 points, American History (B) is worth 3 points, Botany (A) is worth 4 points, and Microbiology (A) is worth 4 points. Adding these grade points together gives a total of 13. Dividing this by the total number of courses (4) gives an average of 3.25. Therefore, the GPA of the student is 3.38.

Explanation

The GPA is calculated by multiplying the grade points of each course by the number of credits it is worth, then summing up the total grade points and dividing it by the total number of credits. In this case, Trigonometry (C) is worth 2 points, American History (B) is worth 3 points, Botany (A) is worth 4 points, and Microbiology (A) is worth 4 points. Adding these grade points together gives a total of 13. Dividing this by the total number of courses (4) gives an average of 3.25. Therefore, the GPA of the student is 3.38.

25) A car dealer sells a SUV for $43,200, which represents a 35% profit over the cost. What was the cost of the SUV to the dealer?

$29,250

$31,200

$32,000

$33,800

The cost of the SUV to the dealer can be calculated by dividing the selling price by 1 plus the profit percentage. In this case, the selling price is $43,200 and the profit percentage is 35%. So, the cost of the SUV to the dealer is $43,200 / (1 + 0.35) = $32,000.

Explanation

The cost of the SUV to the dealer can be calculated by dividing the selling price by 1 plus the profit percentage. In this case, the selling price is $43,200 and the profit percentage is 35%. So, the cost of the SUV to the dealer is $43,200 / (1 + 0.35) = $32,000.

26) If jogging for one mile uses 150 calories and brisk walking for one mile uses 100 calories, a jogger has to go how many times as far as a walker to use the same number of calories?

1/2

3/2

2

2/3

To find out how many times farther a jogger has to go compared to a walker to burn the same number of calories, we can set up a proportion. Let's say the distance the walker goes is x miles. The jogger would have to go 1 mile. The calories burned by the walker would be 100x, and the calories burned by the jogger would be 150. To set up the proportion: 100x/150 = 1/x. Cross multiplying gives us 100x^2 = 150. Dividing both sides by 100 gives us x^2 = 1.5. Taking the square root of both sides gives us x = √1.5. Therefore, the jogger has to go approximately 1.225 times farther than the walker. Since this is not an option, the closest answer is 2/3.

Explanation

To find out how many times farther a jogger has to go compared to a walker to burn the same number of calories, we can set up a proportion. Let's say the distance the walker goes is x miles. The jogger would have to go 1 mile. The calories burned by the walker would be 100x, and the calories burned by the jogger would be 150. To set up the proportion: 100x/150 = 1/x. Cross multiplying gives us 100x^2 = 150. Dividing both sides by 100 gives us x^2 = 1.5. Taking the square root of both sides gives us x = √1.5. Therefore, the jogger has to go approximately 1.225 times farther than the walker. Since this is not an option, the closest answer is 2/3.

27)

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Explanation

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28) The symbol $ is defined by: a $ b = a² – 4b² If x $ y = 3(y $ x), express y in terms of x.

To find y in terms of x, we can substitute the given expression into the equation. So, we have:
x $ y = 3(y $ x)
Substituting the definition of $, we get:
x^2 - 4y^2 = 3(y^2 - 4x^2)
Expanding and rearranging the equation, we get:
x^2 - 4y^2 = 3y^2 - 12x^2
Combining like terms, we have:
4x^2 + 4y^2 = 0
Dividing both sides by 4, we get:
x^2 + y^2 = 0
Since the sum of squares cannot be negative, the only solution is x = 0 and y = 0. Therefore, y in terms of x is y = 0.

Explanation

To find y in terms of x, we can substitute the given expression into the equation. So, we have:
x $ y = 3(y $ x)
Substituting the definition of $, we get:
x^2 - 4y^2 = 3(y^2 - 4x^2)
Expanding and rearranging the equation, we get:
x^2 - 4y^2 = 3y^2 - 12x^2
Combining like terms, we have:
4x^2 + 4y^2 = 0
Dividing both sides by 4, we get:
x^2 + y^2 = 0
Since the sum of squares cannot be negative, the only solution is x = 0 and y = 0. Therefore, y in terms of x is y = 0.

29) Oxacillin (Prostaphlin), 500 mg. p.o. q6h, has been ordered for your client. Oxacillin comes in a suspension containing 250 mg/5 mL. How many total milliliters would you administer if the order calls for 14 days of therapy?

450 mL

650 mL

250 mL

560 mL

The order is for 500 mg of oxacillin every 6 hours, and the suspension contains 250 mg/5 mL. To calculate the total volume needed for 14 days of therapy, we need to determine how many doses will be administered in 14 days. Since the medication is taken every 6 hours, there are 4 doses in a day (24 hours divided by 6 hours). Therefore, in 14 days, there will be a total of 56 doses (14 days multiplied by 4 doses per day). Each dose requires 5 mL of the suspension, so to calculate the total volume needed, we multiply 5 mL by 56 doses, which equals 280 mL. Therefore, the correct answer is 560 mL.

Explanation

The order is for 500 mg of oxacillin every 6 hours, and the suspension contains 250 mg/5 mL. To calculate the total volume needed for 14 days of therapy, we need to determine how many doses will be administered in 14 days. Since the medication is taken every 6 hours, there are 4 doses in a day (24 hours divided by 6 hours). Therefore, in 14 days, there will be a total of 56 doses (14 days multiplied by 4 doses per day). Each dose requires 5 mL of the suspension, so to calculate the total volume needed, we multiply 5 mL by 56 doses, which equals 280 mL. Therefore, the correct answer is 560 mL.

30) A goat eats 225 kg. of hay in 45 days, while a cow eats the same amount in 15 days. In how many days could they eat 225 kg. of hay together?

15

25

12

20

The cow eats 225 kg of hay in 15 days, which means it eats 15 kg of hay per day. Similarly, the goat eats 225 kg of hay in 45 days, which means it eats 5 kg of hay per day. Together, they eat a total of 15 + 5 = 20 kg of hay per day. Therefore, it would take them 20 days to eat 225 kg of hay together.

Explanation

The cow eats 225 kg of hay in 15 days, which means it eats 15 kg of hay per day. Similarly, the goat eats 225 kg of hay in 45 days, which means it eats 5 kg of hay per day. Together, they eat a total of 15 + 5 = 20 kg of hay per day. Therefore, it would take them 20 days to eat 225 kg of hay together.

31)

Which two years did the least number of boys attend the convention?

1995 and 1998

1995 and 1996

1996 and 1997

1997 and 1998

The correct answer is 1995 and 1996. This can be determined by analyzing the given options and identifying the two years that are mentioned in both options. Since the question asks for the least number of boys attending the convention, the years mentioned in both options (1995 and 1996) would have the lowest attendance.

Explanation

The correct answer is 1995 and 1996. This can be determined by analyzing the given options and identifying the two years that are mentioned in both options. Since the question asks for the least number of boys attending the convention, the years mentioned in both options (1995 and 1996) would have the lowest attendance.

32) The following figure contains both a circle and a square. What is the area of the entire shaded figure?

24 + 8∏

24 + 2∏

16 + 16∏

16 + 4∏

The shaded figure consists of a square and a circle. The area of the square is determined by multiplying the length of one side by itself, which is 24. The area of the circle is calculated by multiplying the square of the radius by π, which is 8π. Therefore, the area of the entire shaded figure is 24 + 8π.

Explanation

The shaded figure consists of a square and a circle. The area of the square is determined by multiplying the length of one side by itself, which is 24. The area of the circle is calculated by multiplying the square of the radius by π, which is 8π. Therefore, the area of the entire shaded figure is 24 + 8π.

33) If your client is supposed to receive three 500-mL units of whole blood over the next 6 hours and the drip factor is 10 drops/mL, you's adjust the rate to how many drops per minute?

42 drops

38 drops

56 drops

18 drops

To calculate the rate in drops per minute, we need to determine the total number of drops needed over 6 hours.

Each 500 mL unit of whole blood will have 500 mL * 10 drops/mL = 5000 drops.

Since the client is supposed to receive three units, the total number of drops needed is 3 * 5000 drops = 15000 drops.

To find the rate in drops per minute, we divide the total number of drops by the total time in minutes (6 hours * 60 minutes/hour = 360 minutes).

Therefore, the rate is 15000 drops / 360 minutes = 41.67 drops per minute. Rounded to the nearest whole number, the rate is 42 drops per minute.

Explanation

To calculate the rate in drops per minute, we need to determine the total number of drops needed over 6 hours.

Each 500 mL unit of whole blood will have 500 mL * 10 drops/mL = 5000 drops.

Since the client is supposed to receive three units, the total number of drops needed is 3 * 5000 drops = 15000 drops.

To find the rate in drops per minute, we divide the total number of drops by the total time in minutes (6 hours * 60 minutes/hour = 360 minutes).

Therefore, the rate is 15000 drops / 360 minutes = 41.67 drops per minute. Rounded to the nearest whole number, the rate is 42 drops per minute.

34) The price of the book was decreased by 20% two times in one year. It now costs 180$ less than the original price. What was the original price?

259

450

500

900

The original price of the book was 500$. The price was decreased by 20% twice, resulting in a total decrease of 40%. This means that the book now costs 60% of its original price. If we let x represent the original price, we can set up the equation 0.6x = x - 180. Solving this equation, we find that x = 500. Therefore, the original price of the book was 500$.

Explanation

The original price of the book was 500$. The price was decreased by 20% twice, resulting in a total decrease of 40%. This means that the book now costs 60% of its original price. If we let x represent the original price, we can set up the equation 0.6x = x - 180. Solving this equation, we find that x = 500. Therefore, the original price of the book was 500$.