The table shows a linear function.<br><br> Which equation represents the function?

Mrs. Cleaver mixes 1.24 liters of red paint with 3 times as much blue paint to make purple paint. She pours the paint equally in

otez555 [7]

The amount of blue paint in each container is $\fbox{\begin\\\ 0.744 liters \end{minispace}}$ .

Further explanation:

The mixture mixed by Mrs. Cleaver contains 1.24 litres of red paint with 3 times blue paint to obtain purple paint.

So, the amount of blue paint is calculated as,

${3} \times {1.24}=3.72 \text { liters}$

Therefore, the total amount of paint mixture is the sum of blue paint and red paint.

$\fbox{\begin \\\begin{aligned} \text{Total paint}= 1.24+3.72\\=4.96 \text{ liters}\\\end{aligned}\\\end{minispace}}$

Now, as Mrs. Cleaver divides the paint mixture equally in 5 containers so the amount of paint in one container is calculated as,

$\boxed{\begin{aligned}\text{Amount of paint in one container}&= \dfrac{4.96}{5}\\ &=0.992 \text{ liters} \end {aligned}}$

Since amount of blue paint mixed is three times the red paint so the fraction of blue paint to the total paint is $\dfrac{3}{4}$ .

Now, as it is known that the fraction of blue paint to the total paint is $\dfrac{3}{4}$ and the amount of paint in a container is $0.992 \text{ liters}$ then the blue paint in one container is calculated as,

$\boxed{\begin{aligned}\text{Blue paint in one container} =\dfrac{3}{4} \times 0.992\\=0.248 \text{ liters}\end{aligned}}$

Thus, the amount of blue paint in each of the five containers is $\fbox{\begin\\\ 0.744 liters \end{minispace}}$ .

Learn more:

1. To solve one variable linear equation brainly.com/question/1682776

2. Linear equation application brainly.com/question/2479097

3. Composite functions brainly.com/question/2142762

Answer details

Grade: Middle school

Subject: Mathematics

Chapter: Mixtures and ratios

Keywords: mixture, paint, red paint, blue paint, Mrs. Cleaver, purple paint, fraction, each container, five containers, divides, times, equally divide, mixes, liters.

3 0

3 years ago

Read 2 more answers

Y = (x + 2)^2-3 in standard form?

Verdich [7]

Y=2x2−8x+5 is standard form

4 0

2 years ago

Write an expression that is equivalent to

lisov135 [29]

Answer:

½a - 4 = ? ( a - ?)

1a - 8 = -7a ( a - ?)

= ( a- 7a)

= ( -6a)

6 0

3 years ago

Make, Dan, Ed, and summer played together on a baseball team. Mike’s batting average was 0.349, dan’s was 0.2, Ed’s was 0.35, an

Harrizon [31]

the highest batting average is of Ed's and that is 0.350 .

<u>Step-by-step explanation:</u>

Here we have , Make, Dan, Ed, and summer played together on a baseball team. Mike’s batting average was 0.349, dan’s was 0.2, Ed’s was 0.35, and sy’swas 0.299. We need to find Who had the highest batting average . Let's find out :

According to question we have following parameters as :

$Mike = 0.349\\Dan's=0.200\\Ed's=0.350\\Sy'swas=0.299$

Arranging these data from decreasing to increasing order we get :

⇒ $0.200$

⇒ $(Dan's)0.200$

Therefore , the highest batting average is of Ed's and that is 0.350 .

6 0

3 years ago

Find the minimum product of two numbers whose difference is 17. <br> what are the numbers?

Marysya12 [62]

A number is an arithmetic value that is used to represent a quantity and calculate it. The two numbers will be 17 and 0, so the product of the two is minimal.

<h3>What are Numbers?</h3>

A number is an arithmetic value that is used to represent a quantity and calculate it. Numericals are written symbols that represent numbers, such as "3."

Given the difference between the two numbers is 17. Let the first number be zero, then the second number will be 17. Thus, the product of the two numbers will be 0, which is the minimum.

If the first number is further increased such as 1, then the other number will be 18, and the product of the two will be 18, which is greater than zero.

Hence, the two numbers will be 17 and 0, so the product of the two is minimal.

Learn more about Numbers:

brainly.com/question/17429689

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7 0

2 years ago

The table shows a linear function. Which equation represents the function?