Paige decided to paint 4/5

Question

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

2/3
2 thirds

1/3
1 third

8/15
8 over 15

6/15
6 over 15

2/9
2 ninths

Answer 1

To find out how much of Paige's home was painted last year, we need to take the fraction of the rooms she intended to paint (4/5) and multiply it by how much she actually completed (2/3).

Here’s the calculation:

\[ \text{Fraction painted last year} = \left(\frac{4}{5}\right) \times \left(\frac{2}{3}\right) \]

Multiply the numerators:

\[ 4 \times 2 = 8 \]

Multiply the denominators:

\[ 5 \times 3 = 15 \]

So, the fraction of Paige’s home that was painted last year is:

\[ \frac{8}{15} \]

Thus, the answer is:

8/15 or 8 over 15.

Answer 2

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

108 inches
108 inches

-18 inches

Answer 3

To find out how much Alexander's height increased each minute, we can divide the total height increase by the number of minutes:

\[ \text{Height increase per minute} = \frac{108 \text{ inches}}{6 \text{ minutes}} = 18 \text{ inches} \]

Therefore, the effect on Alexander’s height each minute was:

18 inches.

Answer 4

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

-$10,200
-$10,200

$850

Answer 5

To determine the effect on the Walkers' checking account balance, we need to calculate the total amount deducted over the year.

Since they deducted $850 each month for 12 months, we can find the total amount deducted as follows:

\[ \text{Total deducted} = 850 \text{ dollars/month} \times 12 \text{ months} = 10,200 \text{ dollars} \]

Since this amount is deducted from their checking account, the effect on their checking account balance would be a negative value:

\[ \text{Effect on checking account} = -10,200 \text{ dollars} \]

Therefore, the correct response is:

-$10,200.

Answer 6

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

-$936
-$936

$936
$936

$117

Answer 7

To find out the change in Devon's account each month after paying for the internet service, we first need to determine the monthly payment amount. Given that Devon paid a total of $936 over 8 months, we can calculate the monthly payment as follows:

\[ \text{Monthly payment} = \frac{936 \text{ dollars}}{8 \text{ months}} = 117 \text{ dollars} \]

Since this payment results in a deduction from his account, the change in Devon’s account each month after paying for the service is:

\[ -$117 \]

Therefore, the correct response is:

-$117.