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3 years ago

Solve for z in the problem below:

Mathematics

2 answers:

Daniel [21]3 years ago

8 0

Answer:

A. z = 16

Step-by-step explanation:

Multiply both sides by 20 isolate the variable z.

$\frac{4}{5} *\frac{z}{20}$

$\frac{4}{5} *20 = \frac{z}{20} *20$

$z = \frac{4}{5} *20$

Multiplying $\frac{4}{5}$ by 20 will give us 16.

$\frac{4}{5} *\frac{20}{1} = \frac{80}{5}$ $= 16$

Therefore, z is equal to 16.

aliya0001 [1]3 years ago

3 0

Answer:

Step-by-step explanation:

Given

$\frac{4}{5}$ = $\frac{z}{20}$

Multiply both sides by 20 to clear the fractions

16 = z → A

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2 years ago

Sixty percent (60%) of those who attended the soccer game were parents. There were 120 people who

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Answer:

Step-by-step explanation:

Given:

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Solution:

1. 60% of 120

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2 years ago

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Factor the following (a²+b²)²-18(a²+b²)-88

navik [9.2K]

Answer:

$\rm\displaystyle( {a}^{2} + {b}^{2} - 22)( {a}^{2} + {b}^{2} + 4)$

Step-by-step explanation:

we would like to factor the following:

$\rm\displaystyle ( {a}^{2} + {b}^{2} {)}^{2} - 18( {a}^{2} + {b}^{2} ) - 88$

let a²+b²=x

thus substitute:

$\rm\displaystyle x {}^{2} - 18x- 88$

rewrite the middle term as 4x-22x:

$\rm\displaystyle x^{2} + 4x - 22x - 88$

factor out x:

$\rm\displaystyle x( x^{} + 4)- 22x - 88$

factor out -22:

$\rm\displaystyle x( x^{} + 4)- 22(x + 4)$

group:

$\rm\displaystyle( x- 22)(x + 4)$

substitute back:

$\rm\displaystyle( {a}^{2} + {b}^{2} - 22)( {a}^{2} + {b}^{2} + 4)$

and we are done!

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2 years ago

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