In order to make a specific shade of green paint, a painter mixes of a
gallon of blue paint with of a gallon of yellow paint.
Write an equation to represent the number of gallons of yellow paint, .
needed for any amount of blue paint, .

Ask by Hilton Mcfarlane. in the United States

Mar 14,2025

Question

In order to make a specific shade of green paint, a painter mixes of a
gallon of blue paint with of a gallon of yellow paint.
Write an equation to represent the number of gallons of yellow paint, .
needed for any amount of blue paint, .

Ask by Hilton Mcfarlane. in the United States

Mar 14,2025

UpStudy AI · Accepted Answer

We are given that when $$ b = \frac{1}{2} $$ gallon (blue paint), the amount of yellow paint needed is $$ y = \frac{4}{5} $$ gallon. We wish to find an equation that represents $$ y $$ in terms of any amount of blue paint $$ b $$.

1. Write the ratio of yellow paint to blue paint using the given amounts:
   $$
   \frac{y}{b} = \frac{\frac{4}{5}}{\frac{1}{2}}
   $$

2. Simplify the fraction on the right-hand side:
   $$
   \frac{\frac{4}{5}}{\frac{1}{2}} = \frac{4}{5} \times \frac{2}{1} = \frac{8}{5}
   $$

3. Now, the ratio tells us that for every gallon of blue paint, the yellow paint needed is $$ \frac{8}{5} $$ gallons. Therefore, the relationship between $$ y $$ and $$ b $$ is:
   $$
   y = \frac{8}{5}b
   $$

Thus, the equation representing the number of gallons of yellow paint needed for any amount of blue paint $$ b $$ is:
$$
y = \frac{8}{5}b
$$
The equation is $$ y = \frac{8}{5}b $$.

In order to make a specific shade of green paint, a painter mixes of a
gallon of blue paint with of a gallon of yellow paint.
Write an equation to represent the number of gallons of yellow paint, .
needed for any amount of blue paint, .

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In order to make a specific shade of green paint, a painter mixes of a gallon of blue paint with of a gallon of yellow paint. Write an equation to represent the number of gallons of yellow paint, . needed for any amount of blue paint, .

Solución de inteligencia artificial de Upstudy

Responder

Solución

The Deep Dive

preguntas relacionadas

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In order to make a specific shade of green paint, a painter mixes of a
gallon of blue paint with of a gallon of yellow paint.
Write an equation to represent the number of gallons of yellow paint, .
needed for any amount of blue paint, .