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3 years ago

One eighth of a number ,increased by 20, is 32.Find the number

1 answer:

7 0

X - the number

$\frac{1}{8} x +20=32 \\
\frac{1}{8}x=32-20 \\
\frac{1}{8}x=12 \\
x=12 \times 8 \\
x=96$

The number is 96.

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Anit [1.1K]

Answer: $x=7, \ y=-2$

Step-by-step explanation:

Given

Equations are $3x-y=23$ and $2x+3y=8$

take $3x-y=23$

$y=3x-23$

Put the value of y in another equation

$\Rightarrow 2x+3(3x-23)=8\\\Rightarrow 2x+9x-69=8\\\Rightarrow 11x=77\\\Rightarrow x=7$

Put the value of x in y

$y=3(7)-23=21-23=-2$

Hence, $x=7, \ y=-2$

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2 years ago

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Step-by-step explanation:

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2 years ago

A rectangular plot measures 20 ft. By 30ft. A 3ft wide side walk surrounds it. Find the area of the side walk

r-ruslan [8.4K]

Answer:

336 feet²

Step-by-step explanation:

If we have a rectangle that is 30 by 20 feet, that means the area of that rectangle would be 20 × 30 feet squared, which is 600 ft².

If there is a 3 feet sidewalk surrounding it, that means that the end of the sidewalk will extend 3 feet extra around each side of plot. Since there are two ends to one side, that means an extra six feet is added on to each dimension. Therefore, 36 × 26 are the dimensions of the sidewalk+plot. 36 × 26 = 936 ft².

To find the area of the sidewalk itself, we subtract 600 ft² from 936 ft². This gets us with 336 ft².

Hope this helped!

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2 years ago