. How many 4/3
pint servings are in 28/3
pints of milk?
To find out how many 4/3 pint servings are in 28/3 pints of milk, you need to divide the total amount of milk by the amount in each serving.
28/3 ÷ 4/3
When dividing fractions, you can multiply the dividend (28/3) by the reciprocal of the divisor (3/4).
28/3 * 3/4 = (28 * 3) / (3 * 4) = 84/12
This simplifies to 7/1 or 7.
Therefore, there are 7 servings of 4/3 pint in 28/3 pints of milk.
Divide −3/17
by −2/3
When dividing fractions, you can multiply the dividend by the reciprocal of the divisor.
To divide -3/17 by -2/3, you multiply -3/17 by 3/-2.
(-3/17) * (3/-2) = (-3 * 3) / (17 * 2) = -9/34
Therefore, -3/17 divided by -2/3 is equal to -9/34.
Divide −4/9
by 4/7
To divide fractions, you multiply the first fraction by the reciprocal of the second fraction.
(-4/9) ÷ (4/7) = (-4/9) * (7/4)
The negative signs in the numerators cancel out:
= (-4 * 7) / (9 * 4)
Simplifying the numerator and denominator:
= -28/36
Since -28 and 36 have a common factor of 4, we can simplify further:
= -7/9
Therefore, -4/9 divided by 4/7 is equal to -7/9.
How is the sign of the quotient determined?(1 point)
Responses
The quotient is negative if signs of the divisor and dividend are like.
The quotient is negative if signs of the divisor and dividend are like.
The sign of the quotient is the same as the larger number.
The sign of the quotient is the same as the larger number.
The sign of the quotient is the same as the smaller number.
The sign of the quotient is the same as the smaller number.
The quotient is positive if signs of the divisor and dividend are like.
The quotient is positive if the signs of the divisor and dividend are like.
-5(-10)(12)
To simplify the expression -5(-10)(12), we need to perform the multiplication.
-5(-10)(12) = (-5) * (-10) * (12)
Multiplying the negative numbers gives a positive result:
= 50 * 12
= 600
Therefore, -5(-10)(12) simplifies to 600.
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
$79.76
$79.76
$89.29
$89.29
$375.00
$375.00
$93.75
$93.75
Question 5
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
$936
$936
-$117
-$117
-$936
-$936
$117
$117
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
-18 inches
-18 inches
-108 inches
-108 inches
108 inches
108 inches
To find Nick's hourly earnings for the job, we need to divide the total payment by the number of hours worked.
Since the question does not provide information about the prices for each service, we cannot accurately calculate Nick's earnings.
for nick, weed control earns 70 dollars, leave removal 165, 225 lawn clean up, aeration is 90, and flower planting earns 40 dollars per flower bed.
Thank you for providing the prices for each service.
To calculate Nick's earnings, we need to determine how many flower beds were planted. The information provided states that Nick planted 3 flower beds.
Now, we can calculate Nick's earnings for each service:
Weed control: $70
Leave removal: $165
Lawn clean up: $225
Aeration: $90
Flower planting: $40 x 3 = $120
Now, we add up the earnings from each service to find Nick's total earnings:
Total earnings = $70 + $165 + $225 + $90 + $120 = $670
Since Nick worked for 4.2 hours, we can calculate his hourly earnings by dividing his total earnings by the number of hours worked:
Hourly earnings = $670 / 4.2 hours = $159.52 (rounded to the nearest cent)
Therefore, Nick's hourly earnings for the job is approximately $159.52.
okay, wait. So sorry for telling you this now, but it says Hint: Each price listed in the chart is a flat fee for the service.
So here are the answer choices
Responses
$79.76
$79.76
$89.29
$89.29
$375.00
$375.00
$93.75
If each price listed in the chart is a flat fee for the service, we can calculate Nick's earnings for the job by adding up the prices for each service.
Weed control: $70
Leave removal: $165
Lawn clean up: $225
Aeration: $90
Flower planting: $40 (per bed) * 3 (beds) = $120
Now, let's add up the prices:
Total earnings = $70 + $165 + $225 + $90 + $120 = $670
Since Nick worked for 4.2 hours, we can calculate his hourly earnings by dividing his total earnings by the number of hours worked:
Hourly earnings = $670 / 4.2 hours = $159.52 (rounded to the nearest cent)
However, none of the provided answer choices match the calculated hourly earnings. Please double-check the options provided or provide more information if available.
Theres no more information I could provide, what answer should I choose?
Based on the information provided, it seems that none of the answer choices accurately match the calculated hourly earnings. In this case, it is best to select the option that comes closest to the calculated value.
Out of the answer choices you provided, the closest option to the calculated hourly earnings of $159.52 would be $93.75. Therefore, you should choose $93.75 as the closest approximation to Nick's hourly earnings for the job.
okay, but now 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?
To find the change in Devon's account each month after paying for the internet service, we need to divide the total payment of $936 by the number of months, which is 8.
Change in account each month = Total payment / Number of months
Change in account each month = $936 / 8
Change in account each month = $117
Therefore, the change in Devon's account each month after paying for the internet service is $117.