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3 years ago

4 (a+3)=36 show all steps

1 answer:

5 0

$4(a+3)=36$
Delete the parentheses, multiplying with the number of outside, making the set of signals
$4a + 12 = 36$

Number with incognito are to the left of the equality and numbers without incognito are to the right, remembering that when changing of side changes the signal.

$4a = 36 - 12$
$4a = 24$
$a = \frac{24}{4}$
$\boxed{a = 6}$

Confirm that the solution is correct:
$4(a+3)=36$
$4(6+3)=36$
$4(9)=36$
$36=36$ (TRUE)

Answer:
$\boxed{a = 6}$

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Answer:

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Step-by-step explanation:

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Answer:

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We need to find the remainder if $p ( x ) = x^2 + 7 x + 3$ is divided by $x + 4$

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3 years ago

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3 years ago

We have two varieties of concrete that we can mix together. One is 5% water and 95% concrete mix, and the other is 20% water and

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Answers:

<u>20 pounds</u> of the 95% concrete mix
<u>10 pounds</u> of the 80% concrete mix

=================================================

Explanation:

x = amount of the 95% concrete mix

y = amount of the 80% concrete mix

Type A mix has 95% concrete. If we have x pounds of this, then 0.95x pounds is pure concrete. Type B mix has 80% concrete. If there are y pounds of this, then 0.80y pounds is pure concrete.

So far we have 0.95x+0.80y pounds of pure concrete from the two mixes

Divide this over 30 to get (0.95x+0.80y)/30

Setting this equal to 0.90 means we want the final mix to be 90% concrete.

Since we want 30 pounds total, we can say x+y = 30 which solves to y = 30-x. We'll use this later

-------------------------------

(0.95x+0.80y)/30 = 0.90

0.95x+0.80y = 30*0.90 .... multiply both sides by 30

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0.95x+0.80(30-x) = 27 ..... plug in y = 30-x

0.95x+0.80*30-0.80*x = 27

0.95x+24-0.80x = 27

0.15x+24 = 27

0.15x = 27-24 ..... subtracting 24 from both sides

0.15x = 3

x = 3/0.15 ........... dividing both sides by 0.15

x = 20

y = 30-x

y = 30-20

y = 10

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2 years ago