Answer:
x = 7
Step-by-step explanation:
4 + 5(x + 2) = 7x
4 + 5x + 10 = 7x
5x - 7x = - 4 - 10
- 2x = - 14
- x = - 14/2
- x = - 7
x = 7
Answer:m∠1 = 145°
m∠2 = 35°
m∠3 = 35°
m∠4 = 145°
m∠5 = 145°
m∠6 = 35°
m∠7 = 35°
m∠8 = 145°
Step-by-step explanation:
Answer:
Step-by-step explanation:
First, turn the word problem into an equation:
n(a number) was divided by 2

followed by this quotient beying multiplied by 4
*4
the product was added to 9
*4+9
the total sum was 25
*4+9 = 25
use PEMDAS to solve the equation
subtract 9 on both sides
*4 = 16
cancel the 2 and the 4 using factorization
n*2 = 16
divide 2 on both sides
n = 8
Answer:
d = 13.8 feet
Step-by-step explanation:
Because we are talking about cubic feet of water, we need the formula for the VOLUME of a cylinder. That formula is

We will use 3.141592654 for pi; if the tank HALF filled with water is at 20 feet, then the height of the tank is 40 feet, so h = 40; and the volume it can hold in total is 6000 cubic feet. Filling in then gives us:

Simplify on the right to get

Divide both sides by 125.6637061 to get that

Taking the square root of both sides gives you
r = 6.90988299
But the diameter is twice the radius, so multiply that r value by 2 to get that the diameter to the nearest tenth of a foot is 13.8
Answer:
B
Step-by-step explanation:
First, subtract 3 by the numbers
-8 > 4x > 4
Remember to flip the inequality signs
Second, divide all the numbers by 4
-2 < x < 1
Flip the inequality signs again
-2 > x > 1
I am not very experienced with these problems so I might be wrong.