A rectangle has a length of x + 7 and a width of 2x -3 if its perimeter perimeter is 32 what is the value of 3x

1 answer:

5 0

$Answer: \\ We \: have \: an \: equation:2(x + 7 + 2x - 3) = 32 \\ \Leftrightarrow 2(3x + 4) = 32 \\ \Leftrightarrow 3x + 4 = 16 \\ \Leftrightarrow 3x = 12$

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Lauren was late 36 days of the 180 days school year. What is the percent of the school year was Lauren late

iren2701 [21]

Step-by-step explanation:

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7 0

3 years ago

What is the value of x in the equation ?

Eduardwww [97]

Answer:

Part A: x = -24

Part B: n = 2

Step-by-step explanation:

Part A:

The algebraic expression for: "StartFraction 2 Over 3 EndFraction left-parenthesis StartFraction one-half EndFraction. x plus 12 right-parenthesis equals left-parenthesis StartFraction one-half EndFraction left-parenthesis StartFraction one-third EndFraction x plus 14 right-parenthesis minus 3" will be ⇒ $\frac{2}{3} (\frac{1}{2} x+12)=(\frac{1}{2} (\frac{1}{3} x+14)-3)$

Multiply both sides by 6

∴ $6 * \frac{2}{3} (\frac{1}{2} x+12)=6*(\frac{1}{2} (\frac{1}{3} x+14)-3)$

∴ $4*(\frac{1}{2} x+12)=3 (\frac{1}{3} x+14)-18$

∴ 2x + 4*12 = x + 3 *14 - 18

∴ 2x - x = 3 * 14 - 18 - 4 * 12 = -24

∴ x = -24

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Part B:

The algebric expression for: "StartFraction one-half EndFraction left-parenthesis n minus 4 right-parenthesis minus 3 equals 3 minus left-parenthesis 2 n plus 3 right-parenthesis" will be ⇒ $\frac{1}{2}(n-4)-3=3-(2n+3)$