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aivan3 [116]
2 years ago
15

Montraie has a coin collection. He keeps 10 of the coins in his box, which is 20% of the collection. How many total coins are in

his collection?
Mathematics
1 answer:
jek_recluse [69]2 years ago
4 0

By definition of percentages, we conclude that Montraie has 10 coins saved in his box that come from a collection with a total of 50 coins.

<h3>How to calculate the quantity of coins in a collection</h3>

In this question we know the quantity of coins in a box and such coins are part of the <em>coin</em> collection. By definition of percentage we have the <em>total</em> quantity of coins in the collection:

x = 10*(100/20)

x = 50

By definition of percentages, we conclude that Montraie has 10 coins saved in his box that come from a collection with a total of 50 coins.

To learn more on percentages: brainly.com/question/13450942

#SPJ1

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Answer: The length of the base is 10.

Step-by-step explanation:

You can draw an isosceles triangle like the one shown attached.

An isosceles triangle has two equal sides. Then, you can divide it into two right triangles, where the base of each one of them will be:

b'=\frac{2x}{2}=x

The hypotenuse of each right triangle shown is 13 and the other legs are (x+7) and x, therefore you can apply the Pythagorean Theorem:

13^2=x^2+(x+7)^2

Simplify the expression:

169=x^2+(x^{2}+2(x)(7)+7^2)\\169=x^{2}+x^{2}+14x+49\\0=2x^{2}+14x-120

Use the quadratic formula, where:

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x=\frac{-b\±\sqrt{b^2-4ac}}{2a}

Then:

x=\frac{-14\±\sqrt{14^2-4(2)(-120)}}{2+2}

x_1=5\\x_2=-12

Choose the positive value, because lengths are not negative.

Substitute the value of x into the base 2x. Therefore, the answer is:

b=2x=2(5)=10

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3 years ago
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