Twenty-four packets of sheet music are in a folder. If the chorus students decide to share 3/8 of the packets, how many did they share?(1 point)
To figure this out, multiply the number of packets by 3/8: 24 packets * (3/8) = <<24*(3/8)=9>>9 packets. Answer: \boxed{9}.
Celeste completed 56
of her science problems. Her mom checked 23
of the assignment. What fraction of the assignment did her mom check?(1 point)
Responses
13
1 third
59
5 ninths
54
5 fourths
16
To find the fraction that her mom checked, divide the number of problems her mom checked by the total number of problems.
23 problems checked / 56 problems total
This can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 1 in this case.
23/56
So, the fraction of the assignment that her mom checked is 23/56. Answer: 23/56.
u should be multiplying 5/6 and 2/3 which equaled 5/9
I apologize for the confusion. You are correct. To find the product of fractions, you multiply the numerators together and multiply the denominators together.
So, 5/6 * 2/3 = (5 * 2) / (6 * 3) = 10/18.
This fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2 in this case.
10/18 = 5/9.
Therefore, the product of 5/6 and 2/3 is equal to 5/9. Thank you for catching that mistake. Answer: 5/9.
Paige decided to paint 45
of the rooms in her home last year. By the end of the year, Paige completed 23
of the rooms. How much of Paige’s home was painted last year?(1 point)
Responses
615
6 over 15
23
2 thirds
815
8 over 15
29
2 ninths
1/3
To find out how much of Paige's home was painted last year, we need to find the fraction of rooms that were painted out of the total number of rooms.
Number of rooms painted / Total number of rooms
23 rooms painted / 45 rooms total
This fraction cannot be simplified, so the answer is 23/45. Answer: \boxed{23/45}.
Paige decided to paint 4/5
of the rooms in her home last year. By the end of the year, Paige completed 2/3
of the rooms. How much of Paige’s home was painted last year?(1 point)
Responses
615
6 over 15
23
2 thirds
815
8 over 15
29
2 ninths
13
To find out how much of Paige's home was painted last year, we need to find the product of the fractions representing the portion of rooms painted.
(4/5) * (2/3) = (4 * 2) / (5 * 3) = 8/15
Therefore, 8/15 of Paige's home was painted last year. Answer: 8/15.
How many 4/3
pint servings are in 28/3
pints of milk?(1 point)
Responses
6 servings
6 servings
7 servings
7 servings
9 servings
9 servings
5 servings
To find out how many 4/3 pint servings are in 28/3 pints of milk, we need to divide the total amount of milk by the amount in each serving.
(28/3) ÷ (4/3)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(28/3) * (3/4) = (28 * 3) / (3 * 4) = 84/12
This fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 12 in this case.
84/12 = 7/1
Therefore, there are 7 servings of 4/3 pint in 28/3 pints of milk. Answer: 7 servings.
13. How is the sign of the quotient determined?(1 point)
Responses
The quotient is positive if signs of the divisor and dividend are like.
The quotient is positive if signs of the divisor and dividend are like.
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 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 correct answer is: The quotient is positive if the signs of the divisor and dividend are like.
When dividing two numbers, the sign of the quotient will be positive if both the dividend and divisor have the same sign (either both positive or both negative).
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 last year from their checking account, the effect on their checking account balance would be -$850.
This means that their account balance would decrease by $850 each month due to the deduction for childcare expenses. Answer: -$850.
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)
NIcks lawn care
weed control 70.00
leaf removal 165.00
lawn cleanup 225.00
aeration 90.00
flower planting 40.00 per flower bed
To calculate Nick's hourly earnings for the job, we need to know the total amount he earned and the number of hours he worked.
From the information given, we know that Nick spent 4.2 hours working on Deborah's lawn. We also need to calculate the total amount earned by adding up the fees for the different services.
For the services completed by Nick, we have:
Leaf removal: $165.00
Aeration: $90.00
Flower planting (3 beds): $40.00 x 3 = $120.00
Adding up these amounts: $165.00 + $90.00 + $120.00 = $375.00
Therefore, Nick earned a total of $375.00 for the job.
To find his hourly earnings, we divide the total amount earned by the number of hours worked:
$375.00 / 4.2 hours = $89.2857...
Rounding to two decimal places, Nick's hourly earnings for the job would be $89.29. Answer: $89.29.
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?
To find the change in Devon's account each month after paying for the internet service, we need to divide the total payment made over 8 months by the number of months.
Total payment made: $936
Number of months: 8
Change in account each month = Total payment made / 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. Answer: $117.
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
108 inches
108 inches
18 inches
18 inches
-18 inches
-18 inches
-108 inches
To find the effect on Alexander's height each minute, we need to divide the total increase in height by the number of minutes.
Total increase in height: 108 inches
Number of minutes: 6
Effect on height each minute = Total increase in height / Number of minutes
Effect on height each minute = 108 inches / 6
Effect on height each minute = 18 inches
Therefore, the effect on Alexander's height each minute was an increase of 18 inches. Answer: 18 inches.
Convert 5 18/25
to a decimal
To convert the mixed number 5 18/25 to a decimal, we first convert the mixed number to an improper fraction.
To do so, we multiply the whole number (5) by the denominator (25) and add the numerator (18) to get the new numerator.
5 * 25 + 18 = 143
The denominator remains the same.
So, 5 18/25 can be rewritten as the improper fraction 143/25.
To convert this fraction to a decimal, we divide the numerator (143) by the denominator (25).
143 ÷ 25 = 5.72
Therefore, 5 18/25 as a decimal is 5.72.