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Naddik [55]
3 years ago
9

The rectangle has a length of 5x - 10 and a width of 2x. The perimeter is 120 units. Solve for x and use it to identify the actu

al length and width.

Mathematics
2 answers:
Ahat [919]3 years ago
4 0

Answer: x= 10

Step-by-step explanation:

l= 40

w=20

P=l+w+l+w

120=5x-10+2x+5x-10+2x

120= 14x-20

120+20=14

140=14x

x=10

Scilla [17]3 years ago
3 0

Answer:

x=10

L=40

W=20

Step-by-step explanation:

P=2L+2W

120=2(5x-10)+2(2x)

120=10x-20+4x

120=14x-20

14x=140

x=140/14=10

then substitute

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(2x+1)/2=(x+2)/5<br><br>if possible can you show me step by step how to get the answer <br>​
katrin2010 [14]

Answer:

\boxed{\bold{Decimal \ Form: \ x \ = \ -0.125}}

\boxed{\bold{Fraction \ Form:x=-\frac{1}{8}}}

Step By Step Explanation:

Apply Fraction Cross Multiply: If \bold{\frac{a}{b}=\frac{c}{d}:then\ a\cdot \:d=b\cdot \:c}

\bold{\left(2x+1\right)\cdot \:5=2\left(x+2\right)}

\bold{\left(2x+1\right)\cdot \:5: \ 10x+5}

\bold{2\left(x+2\right): \ 2x+4}

\bold{10x+5=2x+4}

Subtract 4 From Both Sides

\bold{10x+5-5=2x+4-5}

Simplify

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Subtract 2x From Both Sides

\bold{10x-2x=2x-1-2x}

Simplify

\bold{8x=-1}

Divide Both Sides By 8

\bold{\frac{8x}{8}=\frac{-1}{8}}

Simplify

\bold{x=-\frac{1}{8}}

Turn Fraction Into Decimal

\bold{-1 \ \div \ 8 \ = \ -0.125}

\bold{-0.125}

Regards,

   Mordancy

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Derek ran less than 6 miles. If the race is 6 miles, and he only ran 3/8, he ran less than a half of the race. If he didn't finish the race of 6 miles, he couldn't possibly have run 6 miles. 
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