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3 years ago

Increase 90 in the ratio 5 is to 3

Mathematics

1 answer:

cupoosta [38]3 years ago

5 0

9514 1404 393

Answer:

150

Step-by-step explanation:

The increase is by the factor 5/3, so the increased number is ...

90×(5/3) = 150

90 increased in the ratio 5 : 3 is 150.

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Here are a few rules you need to know for this equation:

Multiplying exponents of the same base: $x^m\times x^n=x^{m+n}$
Dividing exponents of the same base: $\frac{x^m}{x^n}=x^{m-n}$
Turning a negative exponent to a positive one: $x^{-m}=\frac{1}{x^m};\frac{1}{x^{-m}}=x^m$

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Firstly, multiply 3^-4 and 3^2: $\frac{3^{-4+2}\times 2^3}{2^4\times 3^{-3}}=\frac{3^{-2}\times 2^3}{2^4\times 3^{-3}}$

Next, divide:

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Next, turn the negative exponent into a positive one: $3^12^{-1}= \frac{3}{2}$

<u>Your final answer is 3/2, or 1.5.</u>

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Increase 90 in the ratio 5 is to 3 ​

Increase 90 in the ratio 5 is to 3