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Romashka-Z-Leto [24]
2 years ago
14

Plsss help and explain too​

Mathematics
1 answer:
9966 [12]2 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

Since the triangles are similar then the ratio of corresponding sides are equal, that is

\frac{4}{3} = \frac{a}{4} ( cross- multiply )

3a = 16 ( divide both sides by 3 )

a = \frac{16}{3}

and

\frac{4}{3} = \frac{b}{5} ( cross- multiply )

3b = 20 ( divide both sides by 3 )

b = \frac{20}{3}

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Answer:

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3 years ago
Jeff has $1.35 in nickles and dimes. He has a total of 15 coins. How many of each coin does he have?
dlinn [17]

For this case we propose a system of equations.

We know that a dime equals 10 cents and a nickel equals 5 cents.

So:

x: Let the variable that represents the number of dimes

y: Let the variable that represents the number of nickels

According to the statement we have:

x + y = 15\\0.10x + 0.05y = 1.35

We multiply the first equation by -0.10:

-0.10x-0.10y = -1.5

We have the following equivalent system:

0.10x + 0.05y = 1.35\\-0.10x-0.10y = -1.5

We add the equations:

0.10x-0.10x + 0.05y-0.10y = 1.35-1.5\\-0.05y = -0.15\\y = \frac {-0.15} {- 0.05}\\y = 3

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Answer:

12 dimes and 3 nickels

4 0
3 years ago
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creativ13 [48]

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Answer:

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