Use the table to answer the question.

Question

Minutes 1 8 15
Math Problems x 48 y
Jesse can complete 48 math problems in 8 minutes. How many math problems can she complete in 1 minute? How many math problems can she complete in 15 minutes?

(1 point)
Responses

9; 23
9; 23

7; 22
7; 22

6; 90
6; 90

24; 72
24; 72
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Answer 1

To determine how many math problems Jesse can complete in 1 minute and 15 minutes, we can use the information given.

Jesse completes 48 math problems in 8 minutes.

First, we calculate how many problems she completes in 1 minute:

\[ \text{Problems per minute} = \frac{48 \text{ problems}}{8 \text{ minutes}} = 6 \text{ problems per minute} \]

Now, to find out how many problems she can complete in 15 minutes, we multiply the problems completed per minute by the number of minutes:

\[ \text{Problems in 15 minutes} = 6 \text{ problems per minute} \times 15 \text{ minutes} = 90 \text{ problems} \]

So, Jesse can complete 6 math problems in 1 minute and 90 math problems in 15 minutes. The correct answer is:

6; 90

Answer 2

Use the table to answer the question.

White Blue
3 4
x 8
9 12
12 y
For every 4 blue crayons in a box, there are 3 white ones. How many white crayons are there if there are 8 blue ones? How many blue crayons are there if there are 12 white ones?

(1 point)
Responses

9; 12
9; 12

4; 8
4; 8

12; 16
12; 16

6; 16
6; 16
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Answer 3

The problem states that for every 4 blue crayons, there are 3 white crayons. We can set up a ratio based on that information:

\[ \text{White : Blue} = 3 : 4 \]

1. Finding the number of white crayons when there are 8 blue crayons:

We know that if there are 4 blue crayons, there are 3 white crayons. To find out how many white crayons correspond to 8 blue crayons, we can set up the proportions:

\[ \frac{3 \text{ white}}{4 \text{ blue}} = \frac{x \text{ white}}{8 \text{ blue}} \]

Cross-multiplying gives:

\[ 3 \times 8 = 4 \times x \] \[ 24 = 4x \] \[ x = 6 \]

So, when there are 8 blue crayons, there are 6 white crayons.

2. Finding the number of blue crayons when there are 12 white crayons:

Again using the ratio:

\[ \frac{3 \text{ white}}{4 \text{ blue}} = \frac{12 \text{ white}}{y \text{ blue}} \]

Cross-multiplying gives:

\[ 3y = 4 \times 12 \] \[ 3y = 48 \] \[ y = 16 \]

So, when there are 12 white crayons, there are 16 blue crayons.

The answers are: 6; 16.

None of the provided responses exactly match this pair. Please verify if there might be additional context or an alternate interpretation of the ratios involved.

Answer 4

Use the table to answer the question.

8 48
10 60
x 72
y 84Analyze the ratios in the table to find the missing values.(1 point)
Responses

18; 26
18; 26

432; 504
432; 504

12; 14
12; 14

22; 34

Answer 5

To analyze the ratios in the table, let's first identify the pattern in the provided values.

The table looks like this:

| First Value | Second Value | |------------------|------------------| | 8 | 48 | | 10 | 60 | | x | 72 | | y | 84 |

Finding the ratio:

1. Calculate the ratio of the first and second values in the first two rows:

   • For the first row: \[ \frac{48}{8} = 6 \]

   • For the second row: \[ \frac{60}{10} = 6 \]

   The ratio appears to be consistent at \( \frac{\text{Second Value}}{\text{First Value}} = 6 \).

Finding \( x \) when the second value is 72:

We use the same ratio to find \( x \): \[ \frac{72}{x} = 6 \]

Cross-multiply to solve for \( x \): \[ 72 = 6x \] \[ x = \frac{72}{6} = 12 \]

Finding \( y \) when the second value is 84:

Now, we can find \( y \) using the same ratio: \[ \frac{84}{y} = 6 \]

Again, cross-multiply to solve for \( y \): \[ 84 = 6y \] \[ y = \frac{84}{6} = 14 \]

Conclusion:

Thus, the missing values are \( x = 12 \) and \( y = 14 \).

The correct response is 12; 14.

Answer 6

Thanks!!

Answer 7

You're welcome! If you have any more questions or need further assistance, feel free to ask. Happy studying!

Answer 8

:D

Answer 9

😊 I'm glad to see you're happy! If there's anything else on your mind or anything you'd like to discuss, just let me know!