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ZanzabumX [31]
3 years ago
6

By what percent will the product of two numbers decrease if one of them is decreased by 25% and the other one is decreased by 50

%?
Mathematics
1 answer:
olchik [2.2K]3 years ago
5 0
Well, let's say the numbers are "a" and "b"

so a * b = ab

ok... now, if we reduce "a" by 25%, that means the new size is just 75% of the old one, how much is 75% of a? well, (75/100) * a, or 0.75a

now let's reduce "b" by 50%, that means the new size is 50% or half,  how much is 50% of b? well (50/100)*b, or 0.5b

\bf \begin{cases}
a\cdot b\implies  ab\\
0.75a\cdot 0.5b\\
\qquad 0.75\cdot 0.5ab\\
\qquad 0.375ab
\end{cases}

now, the new size of "ab" is just 0.375ab... well, let's revert the decimal format by simply multiplying by 100

0.375 * 100, is 37.5%

the new size of "ab" is just 37.5% of the original "ab"

it decreased by 100 - 37.5 or 62.5%
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\bold{Answer}

\boxed{\bold{-20x^6+12x^4-4x^3+8x^2}}

\bold{Explanation}

  • \bold{Simplify: \ -4x^2\left(5x^4-3x^2+x-2\right)}

\bold{------------------}

  • \bold{Distribute \ Parenthesis}

\bold{\left(-4x^2\right)\cdot \:5x^4+\left(-4x^2\right)\left(-3x^2\right)+\left(-4x^2\right)x+\left(-4x^2\right)\left(-2\right)}

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\bold{-4\cdot \:5x^4x^2+4\cdot \:3x^2x^2-4x^2x+4\cdot \:2x^2}

  • \bold{Simplify \ -4\cdot \:5x^4x^2+4\cdot \:3x^2x^2-4x^2x+4\cdot \:2x^2: \ -20x^6+12x^4-4x^3+8x^2}

\bold{-20x^6+12x^4-4x^3+8x^2}

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You return from a trip with 130 British pounds. How much are your pounds worth in U.S. dollars?​
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Step-by-step explanation: A .500 record means that the soccer team won half of their games ( that's how I interpret it). Since they are going to play 30 games, they need to win half of 30 or 15 games to have that record. 15-10 = 5. So, they need to win 5 more games to have a .500 record.

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