Use the image to answer the question.An illustration shows a rectangle labeled as Blue. Another set of three adjacent rectangles is labeled as Yellow and is placed below Blue. All rectangles have the same dimensions. A bracket on the right side encompasses both sets and points to the number 8.Nate is helping to redesign his basement. He is in charge of choosing and buying the paint. He wants a specific shade of green, so he is going to combine blue and yellow paint in the ratio of 1:3 . If he needs 8 gallons of paint, how much yellow paint does he need to buy?

Question

Use the image to answer the question.An illustration shows a rectangle labeled as Blue. Another set of three adjacent rectangles is labeled as Yellow and is placed below Blue. All rectangles have the same dimensions. A bracket on the right side encompasses both sets and points to the number 8.Nate is helping to redesign his basement. He is in charge of choosing and buying the paint. He wants a specific shade of green, so he is going to combine blue and yellow paint in the ratio of 1:3 . If he needs 8 gallons of paint, how much yellow paint does he need to buy?

Answer 1

Since the ratio of blue to yellow paint is 1:3, and we need a total of 8 gallons of paint, we can use the ratio to find the amount of yellow paint needed.

Let's set up a proportion:

blue paint / yellow paint = 1 / 3

Let's assign a variable to represent the amount of yellow paint needed. Let's call it "y".

So, blue paint / y = 1 / 3

To find the amount of yellow paint needed, we can cross multiply:

blue paint = (y)(1)/3

Since the blue paint is labeled as 8 gallons on the illustration, we can substitute it into the equation:

8 = (y)(1)/3

Now, we can solve for y by multiplying both sides of the equation by 3:

24 = y

Therefore, Nate needs to buy 24 gallons of yellow paint.

Answer 2

Use the image to answer the question.An illustration shows a set of seven adjacent rectangles labeled as Shots. Another set of two adjacent rectangles is labeled as Scores and is placed below Shots. All rectangles have the same dimensions. A downward-facing bracket is placed below the set of two rectangles and points to the number 8.Ruthie plays on a travel soccer league. For every 7 shots she takes on goal, she scores twice. If she scores 8 times, how many shots on goal did she take?(1 point)Responses36 shots36 shots28 shots28 shots8 shots8 shots56 shots

Answer 3

Since Ruthie scores twice for every 7 shots she takes, we can set up a proportion to find the total number of shots she took:

shots / scores = 7 / 2

Let's assign a variable to represent the number of shots taken. Let's call it "s".

So, s / 8 = 7 / 2

To find the total number of shots, we can cross multiply:

s = (8)(7) / 2

s = 56 / 2

s = 28

Therefore, Ruthie took a total of 28 shots on goal.

Answer 4

Based on the illustration, we can see that the rectangle labeled as Blue represents 1 part of the paint mixture, and the set of three adjacent rectangles labeled as Yellow represents 3 parts of the paint mixture. The total number of parts in the mixture is 4 (1 part Blue + 3 parts Yellow).

It is given that Nate needs 8 gallons of paint in total, and this total quantity corresponds to the 4 parts of the paint mixture. To find out how much yellow paint Nate needs to buy, we need to determine the quantity of 1 part of the paint mixture.

Since 1 part of the paint mixture corresponds to 8 gallons ÷ 4 parts = 2 gallons, we can conclude that Nate needs to buy 2 gallons of yellow paint.

Answer 5

To determine how much yellow paint Nate needs to buy, we need to use the given information that Nate wants to combine blue and yellow paint in a ratio of 1:3 and that he needs a total of 8 gallons of paint.

Let's start by calculating the amount of blue paint Nate needs. Since the total ratio of blue to yellow paint is 1:3, we need to determine the fraction representing the blue paint.

The total ratio represents the total number of parts, which is 1 + 3 = 4 parts.

To find the fraction representing the blue paint, divide the number of parts representing the blue paint (which is 1) by the total number of parts (which is 4):
1/4 of the total paint is blue.

Now, we can calculate the amount of blue paint Nate needs by finding 1/4 of the total gallons of paint:
1/4 * 8 gallons = 2 gallons of blue paint.

According to the illustration, the blue rectangle has the same dimensions as the yellow rectangles placed below it. Since the yellow rectangles are labeled as a set of three adjacent rectangles, their total area is three times the area of a single rectangle.

We can conclude that the 2 gallons of blue paint are needed to cover the area represented by the blue rectangle.

Therefore, Nate needs to buy 3 times the amount of blue paint for the yellow paint, which is:
3 * 2 gallons = 6 gallons of yellow paint.

Hence, Nate needs to buy 6 gallons of yellow paint.