Alg I B Hon March Quiz

The example (3 + 4) + 5 = 3 + (4 + 5) illustrates the Associative Property of Addition. This property states that the grouping of numbers being added does not affect the final sum. In this example, the numbers 3, 4, and 5 are being added together. Regardless of whether we add 3 and 4 first and then add 5, or add 4 and 5 first and then add 3, the final sum will be the same. Therefore, this example demonstrates the Associative Property of Addition.

The relationship between the number of boxes sold and the price per box is linear. This means that as the price decreases, the number of boxes sold also decreases in a consistent manner. Since the price is decreasing from $2.80 to $2.20, we can expect the number of boxes sold to also decrease. By comparing the price decrease of $0.60 ($2.80 - $2.20) to the corresponding decrease in the number of boxes sold, we can determine that the number of boxes sold will decrease by the same ratio. Therefore, we can estimate that the store would sell 110 boxes if the selling price was $2.20.

The word "Tennessee" has a total of 9 letters. Among these 9 letters, there are 4 letter E's. Therefore, the probability of randomly selecting the letter E from the word Tennessee is 4/9.

The given expression is a product of two binomials. To simplify the expression, we need to multiply each term of the first binomial by each term of the second binomial using the distributive property. After multiplying, we combine like terms by adding the coefficients of the terms with the same degree of x. The resulting expression is 6x^2 + 11x + 3.

A and B are perpendicular because they have opposite reciprocal slopes. The slope of A is -5, and the slope of B is 0.2. The reciprocal of -5 is -1/5, and the reciprocal of 0.2 is 5. Since the slopes of A and B are opposite reciprocals, they are perpendicular to each other.

The correct answer is 88(1 + 13) ^ T and 88(1.13%) ^ T do not represent the growth of the prairie dogs. The first equation, 88(1 + 13) ^ T, is incorrect because it adds 13 to 1, which would result in a growth rate of 14 instead of 13%. The second equation, 88(1.13%) ^ T, is incorrect because it multiplies 1.13% by 88, which would result in a growth rate of 0.0113 instead of 13%.

ZETA is the better investment because it has a higher growth rate compared to ALPHA. While both companies have the same time frame of 10 years, ZETA's growth model with a growth rate of 1.21 is higher than ALPHA's growth model with a growth rate of 1.17. Therefore, ZETA is expected to have a higher increase in sales over time, making it a more profitable investment option.

The answer is 156 because when you multiply 39 by 4, you can break it down into two parts. First, multiply 30 by 4, which equals 120. Then, multiply 9 by 4, which equals 36. Finally, add the two results together: 120 + 36 = 156.

The given number 74,900,000,000 can be written in scientific notation as 7.49 x 10^10. In scientific notation, the number is expressed as a decimal number between 1 and 10 multiplied by a power of 10. In this case, the decimal number is 7.49 and the power of 10 is 10. This notation helps to represent very large numbers in a more compact and convenient form.

To find the elapsed time between 9:35 am and 2:15 pm, we need to subtract the starting time from the ending time.

First, let's subtract the minutes. 15 - 35 = -20. Since we have negative minutes, we need to borrow 1 hour from the hours.

Next, let's subtract the hours. 2 - 9 = -7.

Now, we add the borrowed hour to the remaining hours. -7 + 12 = 5.

Therefore, the elapsed time is 5 hours.

Lastly, we add the remaining minutes. -20 + 60 = 40.

Thus, the correct answer is 4 hr, 40 min.

The expression (3^7)^2 can be simplified by applying the exponent rule which states that when raising a power to another power, you multiply the exponents. In this case, the exponent 2 is applied to both 3 and 7. Thus, (3^7)^2 becomes 3^(7*2) which is equal to 3^14.

The statement "The square root of a negative number is negative" is false. The square root of a negative number is not a real number, as there is no real number that, when squared, would result in a negative number. Instead, we use the concept of imaginary numbers, where the square root of a negative number is represented by the imaginary unit, denoted as "i".

The two inequalities y 5x - 9 represent lines on the coordinate plane. Quadrant III is the region where both inequalities are true. In this quadrant, the shaded region would be the most because it satisfies both inequalities. The lines y 5x - 9 intersect in Quadrant III, creating a shaded area that is not present in any other quadrant. Therefore, Quadrant III would be the most shaded quadrant.

The given expression (2 E 6) x (4 E 9) represents multiplying 2 times 10 raised to the power of 6, by 4 times 10 raised to the power of 9. To simplify this expression, we can multiply the coefficients (2 x 4 = 8) and add the exponents (6 + 9 = 15). Therefore, the simplified form is 8 times 10 raised to the power of 15, which can be written as 8 E 15.

The series 3.54, 3.5, 3.45, 3.44, 3.40, 3.04 shows numbers in decreasing order because each subsequent number in the series is smaller than the previous one.

To slide the parabola up 5 units, you would add 5 to the 'c' value. The 'c' value represents the y-intercept of the parabola, which determines its vertical position. By adding 5 to the 'c' value, the entire parabola will shift upward by 5 units.

If 40% of Bogarts are Gables, then out of 60 Bogarts, there would be 60 * 0.40 = 24 Gables.
If 50% of Gables are Davis's, then out of the 24 Gables, there would be 24 * 0.50 = 12 Davis's.
Therefore, a population of 60 Bogarts would have 12 Davis's.

The series is formed by adding 4 to the previous term. Starting with 7, we add 4 to get 11, then add 4 again to get 15, and so on. Therefore, the seventh term will be 19 + 4 = 23.

The product of the three rolls is obtained by multiplying the numbers on each die. The green die has 6 sides, so the maximum number that can be rolled is 6. The purple and black dice have 4 sides, so the maximum number that can be rolled on each is 4. The maximum possible product is therefore 6*4*4 = 96. Since 75 is less than 96, it is not a possible result of the product of all three rolls.

According to the Richter Scale, each whole number increase represents a tenfold increase in the magnitude of an earthquake. Therefore, an 8.0 earthquake is ten times greater than a 7.0 earthquake, and this pattern continues for each whole number increase. Since the difference between an 8.0 and a 5.0 earthquake is three whole numbers, the magnitude of the 8.0 earthquake is ten times greater than the magnitude of the 5.0 earthquake, repeated three times, which equals 1000 times more powerful.

Every y-intercept has an x-coordinate of zero. This statement is true because the y-intercept is the point where a line or curve intersects the y-axis. The y-axis represents the x-coordinate of zero, so any point on the y-axis will have an x-coordinate of zero. Therefore, every y-intercept will have an x-coordinate of zero.

To solve this problem, we need to follow the order of operations (PEMDAS/BODMAS). First, we perform the multiplication: 4(5) = 20. Then, we perform the addition and subtraction from left to right: 8 + 9 - 12 + 20 + 2 - 8 = 19. Therefore, the correct answer is 19.

To determine which fraction is greater than 3/4, we can compare the numerators of each fraction. The numerator of 4/5 is 4, which is greater than the numerator of 3/4, which is 3. Therefore, 4/5 is greater than 3/4.

To find the product of 36 and 7, we can break down the multiplication into smaller, more manageable steps. We can start by multiplying 6 (the ones digit of 36) by 7, which equals 42. Then, we can multiply 30 (the tens digit of 36) by 7, which equals 210. Adding these two results together, we get 42 + 210 = 252. Since 250 is the closest answer to 252, it is the correct answer.

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Based on the given information, the delivery person earns $1.50 per case delivered. In the first 30 minutes, they delivered 16 cases, so they earned 16 * $1.50 = $24 from deliveries. They also received $7 in tips. Assuming this pattern continues for the entire 8-hour shift, they would earn $24 from deliveries every 30 minutes, which is $24 * 16 = $384 for the entire shift. Adding the $7 in tips, the total amount they would expect to make that day is $384 + $7 = $391. Therefore, the correct answer is $496, which is not among the options provided.

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The correct answer is 159 because when multiplying 53 by 3 mentally, you can start by multiplying the ones place of 53 (which is 3) by 3, resulting in 9. Then, you multiply the tens place of 53 (which is 5) by 3, resulting in 15. Finally, you add the product of the tens place (15) to the product of the ones place (9), giving you a total of 24. Therefore, 53 multiplied by 3 is equal to 159.