Let's assign the width to a variable, with that variable being x. the length is two times the width, so it would be 2x. the perimeter of a rectangle is length + length + width + width, so you would add 2x + 2x + x + x = 24 inches. combine like terms (x) to get 6x = 24. divide both sides by 6 to get x = 4. so the width (x) is 4, and the length (2x) is 8. the area of a rectangle is length times width, so multiply 4 * 8. that would get you 32 inches^2.
Answer:
1, 3
Step-by-step explanation:
1. x > x
Technically, one number cannot be more than itself. It can only equal to itself.
3. –4 + x > –2 + x
If you minus x from both sides of the equation, it becomes:
-4 > -2
This is not true no matter what x is, thus it has no solution.
4. x – 2 < x + 3
If you add 2 on both sides, it becomes:
x < x + 5
This inequality is possible and has infinitely many solutions.
Note: I will update this answer and address Question 2 once the inequality sign is given :)
Carey earns c hourly
Anderson earns $6 hourly which is also 1+ c/2
So, 6=1+c/2
12=2+c
c=$10
Carey earns $10 hourly
Answer:
W = 16
L = 24
Step-by-step explanation:
Let's write down the information we have first
"The length of a rectangle is 8 feet longer than it is wide"
L = W + 8
"If each side is increased 8 feet, then the area is multiplied by 2."
(L + 8)(W + 8) = 2LW
Now we can solve for W first, then L
(W + 16)(W + 8) = 2W(W + 8)
W² + 24W + 128 = 2W² + 16W
0 = W²- 8W - 128
0 = (W - 16)(W + 8)
W = 16
L = 24
(This part above is solved like quadratics)
Answer: 24c
Step-by-step explanation:
c = cost
6x4=24
24 times the amount it costs per hour c
24c
