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3 years ago

Solve for X: x + 2 (1.5x - 6) = 16 (IF YOU CAN PLEASE TELL ME HOW TO SOLVE QUESTIONS LIKE THIS)

Mathematics

2 answers:

Fed [463]3 years ago

8 0

Answer:

x=7

Step-by-step explanation:

You multiply the 2 with what is inside of the parenthesis so 3x-12

x+3x-12=16

then you add x +3x =4x

4x-12=16

then you add 12 to both sides

4x=28

then you divide by 4 on both sides

x=7

Alexeev081 [22]3 years ago

6 0

4x - 12 = 16) 4x -12 + 12 = 16 + 12) 4x = 28) 4x/4 =28/4) x = 7

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3 years ago

The perimeter of a rectangle is 42 inches, and its area is 110 square inches. find the length and width of the rectangle.

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$p = 2w + 2l$ $p = 42$
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You want to make either the length or width variable (I chose the width variable to be by itself. It doesn't matter) by itself by:

Divide both sides by 2.
(p) ÷ 2 = (2w + 2l) ÷ 2
$2's$ $cancel$ $out$
$\frac{p}{2} = w + l$

Subtract both sides by either length or width depending on what variable you chose to make by itself (in this case I subtracted the length variable because I wanted the width variable by itself).
$\frac{p}{2} - l = w + l - l$
$l's$ $cancel$ $out$
p/2 - l = w

$a = l * w$

You replace w with the equation above p/2 - l = w
$a = l( \frac{p}{2} - l)$

Multiply out the L.
$a = \frac{p}{2}l - l^{2}$

Plug in all your numbers a = 110 and p = 42
$110 = \frac{42}{2}l - l^{2}$
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Move everything to the left side so $l^{2}$ would be positive (makes the equation easier when $l^{2}$ is positive).
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Factor.
$(l -10)(l-11) = 0$

Make each parenthesis set equal to 0.
$l-11=0$ $l-10=0$

Add.
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By doing this you solve for both the width and length so the answer is:
w = 11 L = 10

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3 years ago

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