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horrorfan [7]
3 years ago
9

In the parallelogram below, W = ?

Mathematics
1 answer:
Ivenika [448]3 years ago
4 0
All angles in a triangle add to 180
so
w+2w+69=180
3w+69=180
3w=111
w=37
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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}

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\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}}

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Learn more:  

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

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

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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.

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Step-by-step explanation:

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2 years ago
The length of a rectangle is 13 ft. And its width is 49 ft. What is its perimeter? 512 ft 427 ft 79 ft 159 ft
crimeas [40]

Answer:

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Step-by-step explanation:

Perimeter of a rectangle is

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We know the length is 13 and the width is 49

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Akira receives a prize at a science fair for having the most informative project. Her trophy is in the shape of a square pyramid
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Akira needs 45 square inches of  gold foil to cover the chair free including the bottom​

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On substituting the values,

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What's the answer to the question
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