1. Yesterday, Sarah spent
35
1
2
minutes studying for a test. Emma spent
1
1
2
times that amount studying for a different test. How many minutes did Emma spend studying?(1 point)
93
1
2
minutes
49
1
2
minutes
71 minutes
53
1
4
minutes
73
1
4
minutes
Emma spent 35 * 1.5 = 52.5 minutes studying.
Since we cannot have half minutes, we round up to the nearest whole number.
Therefore, Emma spent 53 minutes studying.
2. A middle school band as
2
9
as many band members as the high school band. The high school band has 502 members. About how many members are in the middle school band?(1 point)
390
45
645
112
The middle school band has 502 * 2.9 = 1455.8 members.
Since we cannot have a fraction of a member, we round up to the nearest whole number.
Therefore, there are about 1456 members in the middle school band.
3. How much cake will each member of the team get if 6 members share
3
4
of a cake equally?(1 point)
1
3
1
4
1
8
1
6
If 6 members share 3/4 of a cake equally, we need to divide 3/4 by 6.
3/4 divided by 6 is equal to (3/4) * (1/6) = 3/24 = 1/8.
Therefore, each member of the team will get 1/8 of the cake.
4. Twenty-four packets of sheet music are in a folder. If the chorus students decide to share of the packets, how many did they share?(1 point)
12 packets
18 packets
8 packets
9 packets
To find out how many packets the chorus students shared, we need to calculate 1/4 of 24.
1/4 of 24 is equal to (1/4) * 24 = 6.
Therefore, the chorus students shared 6 packets.
5. Celeste completed
5
6
of her science problems. Her mom checked
2
3
of the assignment. What fraction of the assignment did her mom check?(1 point)
5
4
1
6
5
9
1
To find out what fraction of the assignment Celeste's mom checked, we need to calculate (2/3) * (5/6).
(2/3) * (5/6) is equal to (2 * 5) / (3 * 6) = 10/18 = 5/9.
Therefore, Celeste's mom checked 5/9 of the assignment.
6. Paige decided to paint
4
5
of the rooms in her home last year. By the end of the year, Paige completed of the rooms. How much of Paige’s home was painted last year?(1 point)
2
9
2
3
6
15
1
3
8
15
To find out how much of Paige's home was painted last year, we need to calculate (4/5) * (1/3).
(4/5) * (1/3) is equal to 4/15.
Therefore, Paige painted 4/15 of her home last year.
wrong
I apologize for the mistake. Let's correct it.
To find out how much of Paige's home was painted last year, we need to calculate (4/5) * (2/3).
(4/5) * (2/3) is equal to 8/15.
Therefore, Paige painted 8/15 of her home last year.
13. How is the sign of the quotient determined?(1 point)
The quotient is negative if signs of the divisor and dividend are like.
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 sign of the quotient is the same as the larger number.
The correct answer is:
The sign of the quotient is determined by the signs of the divisor and dividend.
Specifically, the quotient will be positive if the signs of the divisor and dividend are the same (both positive or both negative). The quotient will be negative if the signs of the divisor and dividend are different (one positive and one 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)
-$850
-$10,200
$10,200
$850
(Image)
The effect on the Walker's checking account balance would be a deduction 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)
$79.76
$375.00
$89.29
$93.75
To find Nick's hourly earnings for the job, we need to divide the total payment for the job by the number of hours he worked.
In this case, the total payment for the job is not given. Therefore, we cannot determine Nick's hourly earnings without additional information.
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?
(1 point)
$79.76
$375.00
$89.29
$93.75
To calculate Nick's hourly earnings for the job, we need to know the total payment for the job. The information provided does not include the total payment, so we cannot determine Nick's hourly earnings without it.
the answer is $375.00
Apologies for the confusion. If the total payment for the job is $375.00 and Nick spent 4.2 hours working, we can calculate his hourly earnings by dividing the total payment by the number of hours worked.
Nick's hourly earnings would be $375.00 / 4.2 hours = $89.29.
Therefore, the correct answer is $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?(1 point)
$117
$936
-$117
-$936
To calculate the change in Devon's account each month, we need to divide the total amount paid by the number of months.
In this case, Devon made payments totaling $936 over 8 months.
The change in Devon's account each month would be $936 / 8 = $117.
Therefore, the correct answer is $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)
18 inches
-18 inches
108 inches
-108 inches
To find the effect on Alexander's height each minute, we need to divide the overall increase in height by the number of minutes.
In this case, Alexander's height increased by 108 inches over 6 minutes.
The effect on Alexander's height each minute would be 108 inches / 6 = 18 inches.
Therefore, the correct answer is 18 inches.
22. Convert
5
18
25
to a decimal.(1 point)
0.72
5.1825
5.9
5.72
To convert 5/18 to a decimal, divide the numerator (5) by the denominator (18):
5 ÷ 18 = 0.2777777777...
Rounded to two decimal places, the decimal representation of 5/18 is approximately 0.28.
Therefore, the correct answer is 0.28.
5.72 is the answer
Apologies for the confusion, but the conversion of 5/18 to a decimal is not 5.72.
To reiterate, 5/18, when divided, is approximately 0.28.
Therefore, the answer is not 5.72.
your lying, but it's ok
I apologize if my previous response was not clear. I assure you that 5/18 is approximately equal to 0.28, not 5.72. If you have any further questions or concerns, please let me know and I'll be happy to assist you.
24. Which fraction is equal to 0.75?(1 point)
3
5
3
4
1
4
7
5
To determine the fraction that is equal to 0.75, we can express 0.75 as a fraction with a numerator and denominator.
0.75 can be represented as 75/100 or 3/4.
Therefore, the fraction that is equal to 0.75 is 3/4.
25. Write
13
25
as a decimal.(1 point)
0.052
0.1325
0.65
0.52
To write 13/25 as a decimal, divide the numerator (13) by the denominator (25):
13 ÷ 25 = 0.52
Therefore, the decimal representation of 13/25 is 0.52.
i got a 20/25
Apologies for the confusion. To write 20/25 as a decimal, divide the numerator (20) by the denominator (25):
20 ÷ 25 = 0.8
Therefore, the decimal representation of 20/25 is 0.8.
i got a 20/25 after i turned it in
I apologize for the mistake. You are correct. To write 20/25 as a decimal, divide the numerator (20) by the denominator (25):
20 ÷ 25 = 0.8
Therefore, the decimal representation of 20/25 is 0.8. Thank you for bringing this to my attention.