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miv72 [106K]
2 years ago
10

Devon had 40 video games. He sold 2/5 of them at $500 each.

Mathematics
1 answer:
tino4ka555 [31]2 years ago
5 0

Using proportions, it is found that:

a) He has 24 videogames left.

b - I) He kept 15 videogames for himself.

b - II) The selling price of a videogame was of $800.

c) He received $15,200 from the sale of the videogames.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Item a:

He has 3/5 of 40 videogames left, hence:

3/5 x 40 = 3 x 8 = 24.

He has 24 videogames left.

Item b:

He kept 5/8 of the 24 videogames, hence:

5/8 x 24 = 5 x 3 = 15.

He kept 15 videogames for himself.

He also sold 9 videogames for $7,200, hence the selling price of one of them is:

7200/9 = $800.

Item c:

Earned $7,200 plus 500 for 16, hence:

T = 7200 + 500 x 16 = $15,200.

He received $15,200 from the sale of the videogames.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

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Point Y is in the interior of ∠XWZ. Given that (ray) WX and (ray) WZ are opposite rays and m∠XWY = 4(m∠YWZ), what is m∠YWZ?
yuradex [85]

Answer:

m∠YWZ = 36°

Step-by-step explanation:

* Lets explain how to solve the problem

- Point Y is in the interior of ∠XWZ

- Rays WX and WZ sre opposite rays

- That means rays WX and WZ formed a straight angle

- m∠XWY = 4(m∠YWZ)

- We need to find the m∠YWZ

* Lets solve the problem

∵ Rays WX and WZ are opposite rays

∴ ∠XWZ is a straight angle

∵ The measure of the straight angle is 180°

∴ m∠XWZ = 180°

- Point Y is in the interior of ∠XWZ

∴ m∠XWZ = m∠XWY + m∠YWZ

∵ m∠XWY = 180°

∴ m∠XWY + m∠YWZ = 180° ⇒ (1)

∵ m∠XWY = 4(m∠YWZ) ⇒ (2)

- Substitute equation (2) in equation (1)

- That means replace m∠XWY by 4(m∠YWZ)

∴ 4(m∠YWZ) + m∠YWZ = 180

∴ 5(m∠YWZ) = 180

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6 0
4 years ago
What is the distance on the number line from -10 to 7​
riadik2000 [5.3K]

Answer:

17

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Help please I need to complete this before 12
Solnce55 [7]

Answer:

Look at the answers bolded below

Step-by-step explanation:

To get the reference angle, just subtract 115° from 180°

180 - 115 = 65

So the reference angle is 65°

I'm not sure how many coterminal angles you need, but to get them you could just add or subtract 360°.

For example, a positive coterminal angle could be:

115 + 360 = 475°

a negative coterminal angle could be:

115 - 360  = -245°

Hope this helped :)

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3 years ago
A package of modeling clay was shaped like a cone with a radius of 24 cm and a height of 6 cm. Miriam used all the clay to make
Darina [25.2K]
Given:
Cone shape: radius = 24 cm ; height = 6cm
Cylinder: radius = 16cm

We need to find the volume of each shape.

Volume of a cone = π r² h/3 = 3.14 * 24² * 6/3 = 3.14 * 576 * 2 = 3,617.28

Volume of a cylinder = π r² h
3,617.28 = 3.14 * 16² * h
3,617.28 = 3.14 * 256 * h
3,617.28 = 803.84 h
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4 years ago
ohn is interested in purchasing a multi-office building containing five offices. The current owner provides the following probab
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Answer:

$28,875

Step-by-step explanation:

The given table is:

\left|\begin{array}{c|cccccc}$Number of Lease Offices&0&1&2&3&4&5\\$Probability&5/32&3/16&3/32&1/4&9/32&1/32\end{array}\right|

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Expected Probability

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If each yearly lease is $12,000

The Expected Yearly Lease for the Whole Building=2.40625 X 12000

=$28,875

4 0
3 years ago
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