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3 years ago

Help please!!!!!!!!!

Mathematics

2 answers:

marshall27 [118]3 years ago

7 0

A) 4x=32, x=8
b)4=32x, x=4/32 or 1/8
c)10x=26, x= 26/10 or 13/5
d)26=100x, x=26/100 or 13/50

kvasek [131]3 years ago

6 0

Answer:

a=8

b=⅛

c= 2.6

d= 0.26

that's all the answers

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Vince has a rectangular rug in his room with an area of 10 ft the length of the rug is 18 inches longer than the width what coul

aev [14]

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Explanation:

The area of the rug is 10 ft.

The length of the rug be l.

Let us convert the inches to feet.

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Thus, the length of the rug is $l=1.5+w$

Let the width of the rug be w.

Substituting these values in the formula of area of the rectangle, we get,

$A=length\times width$

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Solving the expression using the quadratic formula,

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Substituting the values, we have,

$$w=\frac{-15 \pm \sqrt{15^{2}-4 \cdot 10(-100)}}{2 \cdot 10}\\$

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Thus,

$w=\frac{-15 + 65}{2 0}\\w=\frac{50}{20} \\w=2.5$ and $w=\frac{-15 - 65}{2 0}\\w=\frac{-80}{20} \\w=-4$

Since, the value of w cannot be negative, the value of w is 2.5ft

Thus, the width of the rug is 2.5ft

Substituting $w=2.5$ in $l=1.5+w$ , we get,

$l=1.5+2.5\\l=4$

Thus, the length of the rug is 4 ft.

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