Solve for x 8x - 3 = 5 (2x + 1)

Mathematics

2 answers:

givi [52]3 years ago

8 0

Answer:

X = -4

Step-by-step explanation:

Ganezh [65]3 years ago

4 0

Answer:

x = -4

Step-by-step explanation:

First, the pharenthesis: 8x-3 = 5*2x+5*1

8x -3 =10x+5

then take all the Number with x to the left, the ones without to the right, by changing their sign.

8x -10x = 5 +3

-2x = 8

now divide by -2

-2x/-2=8/-2

x=-4

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1. A circular swimming pool has a diameter of 60 feet, and is surrounded by a concrete sidewalk that is 5 feet wide. What is the

Ivenika [448]

We first calculate the area of the entire pool and the side walk.

Given that the pool has a diameter of 60 feet and that the side walk surrounds the pool with a width of 5 feet. This means that the diameter of the entire pool and the side walk is 60 + 5 + 5 = 70 feet and the radius is 70 / 2 = 35 feet

Thus the area of the entire pool and the side walk is obtained as follows:

$Area=\pi r^2 \\ \\ =\pi(35)^2=1,225\pi\ square\ feet$

Given that the pool has a diameter of 60 feet, this means that the radius of the pool is 30 feet.

Thus the area of the pool is given by:

$Area_{pool}=\pi r^2 \\ \\ =\pi(30)^2=900\pi\ square\ feet$

Therefore, the area of the sidewark is the area of the entire pool and side walk minus the area of the pool, this is given by:

$Area_{side walk}=1,225\pi-900\pi \\ \\ =325\pi=1,021 \ square\ feet.$