Answer:
The smaller Number = 15
The larger number = 67
Step-by-step explanation:
Let
The smaller number = x
The larger number = 5x - 8
The sum = 82
(5x - 8) + x = 82
5x - 8 + x = 82
6x - 8 = 82
Add eight to both sides
6x - 8 + 8 = 82 + 8
6x = 90
Divide both sides by 6
x = 90/6
= 15
Therefore,
The smaller number = x = 15
The larger number = 5x - 8
= 5(15) - 8
= 75 - 8
= 67
Answer:
x=7
Step-by-step explanation:
first combine like terms so 2n + 7n which is 9n
so 9n + 7 = 13 + 3n + 8n
then combine on other side so 9n + 7 = 13 + 11n
then subtract 7 to 13 so 6
sp 9n + 6 = 11n
then subtract 9 to the other side so 2n
6 = 2n then divide all by 2
n= 3
Answer:
D
Step-by-step explanation:
Answer: 3
Step-by-step explanation:
You can answer this question by using the equation
(8+x)(7+x)=110
The x represents the width, as we do not know the area. If you simplify the equation, it becomes 56+15x+x2=110.
If you move all the terms to the left side, and rearrange it, it can become x^2+15x-54=0
This can be simplified into (x-3)(x+18)=0
This equation makes it so that x is either 3 or -18. It is not possible for a width to be -18, so the width must be 3.