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4 years ago

What is the answer to 10-(8p+3)=9(2p-5) ?

Mathematics

2 answers:

marta [7]4 years ago

7 0

Answer:

p = 2

Step-by-step explanation:

Given equation,

$10-(8p+3) = 9(2p - 5)$

By distributive property,

$10-8p-3 = 18p - 45$

$7-8p = 18p - 45$

Subtract 7 on both sides,

$-8p = 18p - 52$

Subtract 18p both sides,

$-26p = -52$

Divide both sides by -26

$p=2$

Which is the answer of given equation.

aniked [119]4 years ago

6 0

Use distribution.
10 - (8p + 3) = 10 - 8p - 3 = 7 - 8p
9(2p - 5) = 18p - 45

So...
-8p + 7 = 18p - 45
Subtract 7 from both sides
-8p = 18p - 52
Subtract 18p from both sides
-26p = 52
Divide both sides by -26.
p = -2

There's your answer :D

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Answer:

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Step-by-step explanation:

Let the number of hours worked by each welder be x and y respectively.

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Now, given their hourly charges, since we have the total amount of money realized, we can make an equation out of it. This means:

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Answer:

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Step-by-step explanation:

Let's assume that the figure attached illustrate the situation.

For this case the we know that the original area given by:

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And we know that the initial area is a half of the entire area in red $A_i = \frac{A_f}{2}$ , so then:

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And we know that the area for a rectangular pieces is the length multiplied by the width so we have this:

$70 = (x+7) (x+5)$

We multiply both terms using algebra and the distributive property and we got:

$70 =x^2 +12 x +5$

And we can rewrite the expression like this:

$x^2 +12 x -35 = 0$

And we can solve this using the quadratic formula given by:

$x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}$

Where $a = 1, b =12 and c=-35$ if we replace we got:

$x = \frac{-12 \pm \sqrt{(12)^2 -4(1)(-35)}}{2*1}$

And the two possible solutions are then:

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Studentka2010 [4]

Answer:

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