Question

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?

Answer 1

[AI-generated answer — Bot GPT 3.5]

Emma spent 35 1/2 * 1 1/2 = <<35+1/2*1+1/2=53.25>>53.25 minutes studying. Answer: \boxed{53.25}.

Answer 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?

Answer 3

[AI-generated answer — Bot GPT 3.5]

The middle school band has (2/9) * 502 = <<(2/9)*502=111.33>>111.33 members.

Rounded to the nearest whole number, the middle school band has about 111 members. Answer: \boxed{111}.

Answer 4

How much cake will each member of the team get if 6 members share 3/4

of a cake equally?

Answer 5

[AI-generated answer — Bot GPT 3.5]

To find out how much cake each member will get, we need to divide the amount of cake by the number of members.

If 6 members share 3/4 of a cake equally, we divide 3/4 by 6:

(3/4) ÷ 6 = (3/4) × (1/6) = 3/24 = 1/8

Therefore, each member of the team will get 1/8 of a cake. Answer: \boxed{\frac{1}{8}}.

Answer 6

Twenty-four packets of sheet music are in a folder. If the chorus students decide to share 38

of the packets, how many did they share?

Answer 7

[AI-generated answer — Bot GPT 3.5]

If there are 24 packets of sheet music and the chorus students decide to share 38 of the packets, then they shared 38 packets. Answer: \boxed{38}.

Answer 8

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?

Answer 9

[AI-generated answer — Bot GPT 3.5]

To find out how many packets the chorus students shared, we need to multiply the total number of packets by the fraction they shared.

The fraction they shared is 3/8, so we multiply 24 by 3/8:

24 * 3/8 = (24/1) * (3/8) = (24 * 3) / (1 * 8) = 72/8 = 9

Therefore, the chorus students shared 9 packets. Answer: \boxed{9}.

Answer 10

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?

Answer 11

[AI-generated answer — Bot GPT 3.5]

To find the fraction of the assignment that Celeste's mom checked, we need to multiply the fraction of the problems Celeste completed by the fraction of the assignment her mom checked.

The fraction Celeste completed is 5/6, and her mom checked 2/3 of that.

So, the fraction her mom checked is: (5/6) * (2/3) = (5 * 2) / (6 * 3) = 10/18 = 5/9.

Therefore, Celeste's mom checked 5/9 of the assignment. Answer: \boxed{\frac{5}{9}}.

Answer 12

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?

Answer 13

[AI-generated answer — Bot GPT 3.5]

To find out how much of Paige's home was painted last year, we need to multiply the fraction of rooms she decided to paint by the fraction of rooms she completed.

The fraction of rooms Paige decided to paint is 4/5, and she completed 2/3 of that.

So, the fraction of Paige's home that was painted last year is: (4/5) * (2/3) = (4 * 2) / (5 * 3) = 8/15.

Therefore, 8/15 of Paige's home was painted last year. Answer: \boxed{\frac{8}{15}}.

Answer 14

What is 3/8÷2

?

Answer 15

[AI-generated answer — Bot GPT 3.5]

To divide a fraction by a whole number, we multiply the fraction by the reciprocal of the whole number.

In this case, we need to divide 3/8 by 2, which is the same as multiplying 3/8 by 1/2.

(3/8) * (1/2) = (3 * 1) / (8 * 2) = 3/16

Therefore, the result is 3/16. Answer: \boxed{\frac{3}{16}}.

Answer 16

Divide.

2 1/3÷2/5

Answer 17

[AI-generated answer — Bot GPT 3.5]

To divide a mixed number by a fraction, we multiply the mixed number by the reciprocal of the fraction.

First, let's convert the mixed number 2 1/3 to an improper fraction:
2 1/3 = (2 * 3 + 1) / 3 = 7/3

Now, we can calculate the division:
(7/3) ÷ (2/5) = (7/3) * (5/2)

To simplify this multiplication, we can cancel common factors between the numerators and denominators:
(7 * 5) / (3 * 2) = 35/6

Therefore, the result is 35/6. Answer: \boxed{\frac{35}{6}}.

Answer 18

what is 35/6 as a mixed fraction?

Answer 19

[AI-generated answer — Bot GPT 3.5]

To convert an improper fraction to a mixed fraction, we divide the numerator by the denominator and express the remainder as a fraction.

For the fraction 35/6:

Dividing 35 by 6 gives us 5 with a remainder of 5.

So, 35/6 is equal to 5 and 5/6.

Therefore, the mixed fraction form of 35/6 is 5 5/6. Answer: \boxed{5\frac{5}{6}}.

Answer 20

Divide

84 by -7

Answer 21

[AI-generated answer — Bot GPT 3.5]

To divide 84 by -7, we simply divide 84 by -7:

84 / -7 = -12

Therefore, 84 divided by -7 is equal to -12. Answer: \boxed{-12}.

Answer 22

How many 4/3

pint servings are in 28/3
pints of milk?

Answer 23

[AI-generated answer — Bot GPT 3.5]

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 of milk per serving.

The amount of milk per serving is 4/3 pints.

So, we divide 28/3 by 4/3:

(28/3) ÷ (4/3)

To divide fractions, we multiply by the reciprocal of the second fraction:

(28/3) * (3/4) = (28 * 3) / (3 * 4) = (84) / (12) = 7

Therefore, there are 7 servings of 4/3 pints in 28/3 pints of milk. Answer: \boxed{7}.

Answer 24

Divide −3/17

by −2/3

Answer 25

[AI-generated answer — Bot GPT 3.5]

To divide a fraction by another fraction, we multiply the first fraction by the reciprocal of the second fraction.

The reciprocal of -2/3 is -3/2.

So, we have (-3/17) ÷ (-2/3) = (-3/17) * (-3/2).

Multiply the numerators together and the denominators together:

(-3 * -3) / (17 * 2) = 9/34

Therefore, (-3/17) divided by (-2/3) is equal to 9/34. Answer: \boxed{\frac{9}{34}}.

Answer 26

Divide −4/9

by 4/7

Answer 27

[AI-generated answer — Bot GPT 3.5]

To divide a fraction by another fraction, we multiply the first fraction by the reciprocal of the second fraction.

The reciprocal of 4/7 is 7/4.

So, we have (-4/9) ÷ (4/7) = (-4/9) * (7/4).

Multiply the numerators together and the denominators together:

(-4 * 7) / (9 * 4) = -28/36

Now, we can simplify the fraction. The greatest common divisor (GCD) of 28 and 36 is 4.

Divide both the numerator and denominator by 4:

(-28/4) / (36/4) = -7/9

Therefore, (-4/9) divided by (4/7) is equal to -7/9. Answer: \boxed{-\frac{7}{9}}.

Answer 28

How is the sign of the quotient determined?

Answer 29

[AI-generated answer — Bot GPT 3.5]

The sign of the quotient is determined by the signs of the dividend (the number being divided) and the divisor (the number dividing the dividend).

If the dividend and divisor have the same sign (both positive or both negative), then the quotient will be positive.

If the dividend and divisor have different signs (one positive and one negative), then the quotient will be negative.

In other words, the sign of the quotient follows the rule of "like signs result in a positive quotient, while unlike signs result in a negative quotient."

For example, if we divide a positive number by a positive number, the quotient will be positive. If we divide a negative number by a negative number, the quotient will also be positive. But if we divide a positive number by a negative number (or vice versa), the quotient will be negative.

Answer 30

How is the sign of the quotient determined?(1 point)

Responses

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 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.

Answer 31

[AI-generated answer — Bot GPT 3.5]

The quotient is negative if signs of the divisor and dividend are unlike.

Answer 32

Multiply: −1/3⋅−5/8

Answer 33

[AI-generated answer — Bot GPT 3.5]

To multiply fractions, we simply multiply the numerators together and the denominators together.

(-1/3) * (-5/8) = (1 * 5) / (3 * 8) = 5/24

Therefore, (-1/3) multiplied by (-5/8) is equal to 5/24. Answer: \boxed{\frac{5}{24}}.

Answer 34

Find the product.

-5(-10)(12)

Answer 35

[AI-generated answer — Bot GPT 3.5]

To find the product, we simply multiply the numbers together:

-5 * (-10) * (12) = 50 * 12 = 600

Therefore, the product of -5, -10, and 12 is 600. Answer: \boxed{600}.

Answer 36

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?

Answer 37

[AI-generated answer — Bot GPT 3.5]

If the Walkers deducted $850 each month last year from their checking account, we need to determine the total effect on their balance.

Since they deducted $850 each month, we multiply $850 by the number of months in a year, which is 12:

$850 * 12 = $10,200

Therefore, the effect on their checking account balance was a deduction of $10,200. Answer: \boxed{\$10,200}.

Answer 38

negative or positive?

Answer 39

[AI-generated answer — Bot GPT 3.5]

The effect on the Walkers' checking account balance would be negative. Deducting money implies a decrease in the balance, resulting in a negative impact on the account.

Answer 40

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?

Answer 41

[AI-generated answer — Bot GPT 3.5]

To find Nick's hourly earnings for the job, we divide the total payment by the number of hours he worked.

Since we do not know the total payment for the job, we cannot determine his hourly earnings.

Answer 42

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?

Responses

$79.76
$79.76

$89.29
$89.29

$93.75
$93.75

$375.00

Answer 43

[AI-generated answer — Bot GPT 3.5]

Apologies, without knowing the total payment for the job, we cannot calculate Nick's hourly earnings.

Answer 44

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?

Answer 45

[AI-generated answer — Bot GPT 3.5]

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

The total payment over 8 months was $936, so we divide that by 8:

$936 ÷ 8 = $117

Therefore, the change in Devon's account each month after paying for the service was a decrease of $117. Answer: \boxed{-$117}.

Answer 46

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?

Answer 47

[AI-generated answer — Bot GPT 3.5]

To find the effect on Alexander's height each minute, we divide the total increase in height by the number of minutes.

The total increase in height was 108 inches, and this change occurred over 6 minutes:

108 inches ÷ 6 minutes = 18 inches

Therefore, the effect on Alexander's height each minute was an increase of 18 inches. Answer: \boxed{18 \text{ inches}}.

Answer 48

Find the product.

−4/7(−1 1/2)

Answer 49

[AI-generated answer — Bot GPT 3.5]

To find the product, we need to multiply the fractions.

First, we convert the mixed number -1 1/2 to an improper fraction:
-1 1/2 = -3/2

Now, we can calculate the product:
(-4/7) * (-3/2)

Multiply the numerators together and the denominators together:
(-4 * -3) / (7 * 2) = 12/14

Now, we can simplify the fraction. The greatest common divisor (GCD) of 12 and 14 is 2.

Divide both the numerator and denominator by 2:
(12/2) / (14/2) = 6/7

Therefore, (-4/7) multiplied by (-1 1/2) is equal to 6/7. Answer: \boxed{\frac{6}{7}}.

Answer 50

Find the product.

−4/7(−11/2)

Answer 51

[AI-generated answer — Bot GPT 3.5]

To find the product, we need to multiply the fractions.

Multiply the numerators together and the denominators together:
(-4/7) * (-11/2) = (4 * 11) / (7 * 2) = 44/14

Now, we can simplify the fraction. The greatest common divisor (GCD) of 44 and 14 is 2.

Divide both the numerator and denominator by 2:
(44/2) / (14/2) = 22/7

Therefore, (-4/7) multiplied by (-11/2) is equal to 22/7. Answer: \boxed{\frac{22}{7}}.

Answer 52

Find the product.

9(−3/7)(−1/3)

Answer 53

[AI-generated answer — Bot GPT 3.5]

To find the product, we simply multiply the numbers together:

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

Multiplying the numerators together and the denominators together:

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

Simplifying the numerator:

27 / (7 * 3)

Multiplying the denominators:

27 / 21

Now, we can simplify the fraction. The greatest common divisor (GCD) of 27 and 21 is 3.

Dividing both the numerator and denominator by 3:

9 / 7

Therefore, the product of 9, (-3/7), and (-1/3) is 9/7. Answer: \boxed{\frac{9}{7}}.

Answer 54

Convert 5 18/25

to a decimal.

Answer 55

[AI-generated answer — Bot GPT 3.5]

To convert a mixed number to a decimal, we first convert the whole number part to a decimal and then add it to the decimal representation of the fraction part.

The whole number part of 5 18/25 is 5. To convert the fraction part, we divide the numerator (18) by the denominator (25):

18 ÷ 25 = 0.72

Adding the decimal representation of the fraction part (0.72) to the whole number part (5), we get:

5 + 0.72 = 5.72

Therefore, 5 18/25 as a decimal is equal to 5.72. Answer: \boxed{5.72}.

Answer 56

The decimal 0.013 can be written as(1 point)

Responses

131000
13 over 1000

1.310
1 point 3 over 10

1310000
13 over 10000

13100

Answer 57

[AI-generated answer — Bot GPT 3.5]

The decimal 0.013 can be written as:

1.310, or 1 point 3 over 10.

Answer 58

Which fraction is equal to 0.75?

Answer 59

[AI-generated answer — Bot GPT 3.5]

To find the fraction equivalent to 0.75, we can write it as a fraction with the numerator as 75 and the denominator as 100.

0.75 = 75/100

Notice that both the numerator and denominator can be divided by the greatest common divisor, which is 25:

75/100 ÷ 25/25 = 3/4

Therefore, the fraction equivalent to 0.75 is 3/4.

Answer 60

Write 13/25

as a decimal.

Answer 61

[AI-generated answer — Bot GPT 3.5]

To write a fraction as a decimal, we divide the numerator by the denominator:

13 ÷ 25 = 0.52

Therefore, 13/25 as a decimal is 0.52. Answer: \boxed{0.52}.