14. Multiply: −1/3⋅−5/8

(1 point)
Responses

−524
negative 5 over 24

524
5 over 24

−5576
negative 5 over 576

815

19 answers

To multiply -1/3 and -5/8, we need to multiply the numerators and multiply the denominators.

(-1/3) * (-5/8)

= (-1 * -5)/(3 * 8)

= 5/24

Therefore, the correct answer is: 5 over 24.
15. Find the product.

-5(-10)(12)

(1 point)
Responses

-600
-600

600
600

-12000
-12000

-6000
-6000

120
To find the product of -5, -10, and 12, we need to multiply them together.

-5 * -10 * 12

= 50 * 12

= 600

Therefore, the correct answer is: 600.
16. If the Walkers deducted $850 each month last year from their checking account to pay for childcare, what was the effect on their checking account balance?(1 point)
Responses

-$850
-$850

-$10,200
-$10,200

$850
$850

$10,200
If the Walkers deducted $850 each month from their checking account to pay for childcare, the effect on their checking account balance would be a decrease of $850 each month.

Therefore, the correct answer is: -$850.
17. Deborah hired Nick to remove leaves, aerate the lawn, and plant 3 flower beds. If Nick spends 4.2 hours working on Deborah’s lawn, what is his hourly earnings for the job?

Hint: Each price listed in the chart is a flat fee for the service.

(1 point)
Responses

$89.29
$89.29

$375.00
$375.00

$93.75
$93.75

$79.76
To find Nick's hourly earnings for the job, we need to divide the total amount he earned by the number of hours he spent working.

According to the information given, we don't have the total amount Nick earned for the job. Therefore, it is not possible to determine his hourly earnings based on the given data.

The correct answer cannot be determined.
weed control $70.00
leaf removal $165.00
lawn cleanup $225.00
Aeration $90.00
Flower Planting $40.00 per flower bed
Based on the information provided, we can calculate Nick's earnings for each task as follows:

Weed control: $70.00
Leaf removal: $165.00
Lawn cleanup: $225.00
Aeration: $90.00
Flower planting: $40.00 per flower bed (3 flower beds)

Total earnings = Weed control + Leaf removal + Lawn cleanup + Aeration + Flower planting
= $70 + $165 + $225 + $90 + ($40 * 3)
= $70 + $165 + $225 + $90 + $120
= $670.00

Now, to find Nick's hourly earnings, we divide the total earnings by the number of hours he worked, which is given as 4.2 hours.

Hourly earnings = Total earnings / Hours worked
= $670.00 / 4.2
≈ $159.52

Therefore, Nick's hourly earnings for the job is approximately $159.52.

The closest option to this answer is: $159.52
18. Over the past 8 months, Devon made payments for a total of $936 to pay for internet service. The service is the same amount each month. What was the change in Devon’s account each month after paying for the service?(1 point)
Responses

-$117
-$117

$117
$117

-$936
-$936

$936
$936
Question 6
19. After exposure to an amazing stretching machine, Alexander’s height increased by 108 inches over 6 minutes. His height increased by the same amount each minute. What was the effect on Alexander’s height each minute?(1 point)
Responses

18 inches
18 inches

-108 inches
-108 inches

-18 inches
-18 inches

108 inches
To find the change in Devon's account each month after paying for the service, we need to divide the total payment by the number of months.

Total payment: $936
Number of months: 8

Change in account each month = Total payment / Number of months
= $936 / 8
= $117

Therefore, the correct answer is: $117.

For the second question, it is stated that Alexander's height increased by 108 inches over 6 minutes, and it increased by the same amount each minute. Therefore, to find the effect on Alexander's height each minute, we divide the total increase by the number of minutes.

Total increase: 108 inches
Number of minutes: 6

Effect on height each minute = Total increase / Number of minutes
= 108 inches / 6
= 18 inches

Therefore, the correct answer is: 18 inches.
20. Find the product.

−4/7(−11/2)
(1 point)
Responses

4114
41 over 14

227
22 sevenths

−4114
negative 41 over 14

−227
To find the product of -4/7 and -11/2, we need to multiply the numerators and multiply the denominators.

(-4/7) * (-11/2)

= (-4 * -11)/(7 * 2)

= 44/14

Simplifying this fraction further, we can divide both the numerator and denominator by their greatest common divisor, which is 2.

44/14 = (2 * 22) / (2 * 7) = 22/7

Therefore, the correct answer is: 22/7.
21. Find the product.

9(−3/7)(−1/3)
(1 point)
Responses

−97
negative 9 sevenths

37
3 sevenths

−37
negative 3 sevenths

97
To find the product of 9, -3/7, and -1/3, we need to multiply them together.

9 * (-3/7) * (-1/3)

First, let's simplify the expression by canceling out common factors:

= 9 * (-1) * (-1)
= 9

Therefore, the correct answer is: 9.
thats not even a answer choice
You're right, I apologize for the oversight. Let's redo the calculation correctly:

To find the product of 9, -3/7, and -1/3, we need to multiply them together.

9 * (-3/7) * (-1/3)

= -27/7 * (-1/3)

When multiplying fractions, we simply multiply the numerators and denominators:

= (27 * 1) / (7 * 3)
= 27/21

Simplifying the fraction further, we can divide both the numerator and denominator by their greatest common divisor, which is 3:

= 9/7

Therefore, the correct answer is: 9/7.
22. Convert 51825
to a decimal.(1 point)
Responses

0.72
0.72

5.72
5.72

5.1825
5.1825

5.9
To convert 51825 to a decimal, we simply move the decimal point two places to the left, as it is a whole number:

51825 = 51825.00

Therefore, the correct answer is: 51825.
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