Consecutive intergers are 1 away from each other so
numbers are
x,x+1,x+2
average is found by adding the numbers up and dividng the total by the number of numbers you have
so we add x+x+1+x+2 up and divide it by 3 (3 numbers)
x+x+1+x+2=x+x+x+1+2=3x+3
(3x+3)/3=53
[3(1x+1)]/3=53
3/3 times 1x+1=52
1x+1=53
subtract 1 from both sides
x=52
subsitute
x+1 is the second
x+2 is the third
x+1=52+1=53
x+2=52+2=54
numbers are 52,53,54
Answer:
Step-by-step explanation:
The area of the floor A = Length * Width
Given
A = 200 square meters
If the length of the floor is 32 m longed than it’s width then;
L = 32+W
A = LW
200 = (32+W)W
200 = 32W + W²
W²+32W-200 = 0
W = -32±√32²+800/2
W = -32±42.71/2
W = -32+42.71/2
W = 10.71/2
W = 5.35 m
L = 32+5.35
L = 37.35m
Hence the dimension is 5.35ft by 37.35m
The answer is 22,440......4 miles is 21,120 feet....1/4 of a mile is 1,320 feet.... so when you add em up you get 22,440 feet
Answer: v = 2
Step-by-step explanation:
30-48v+12 = -54
-48v = -54-30-12
= 
v = 2
Simplify 1/3(6x - 15) to 6x - 15/3
6x - 15/3 = 1/2(10x - 4)
Factor out the common term; 3
3(2x - 5)/3 = 1/2(10x - 4)
Cancel out 3
2x - 5 = 1/2(10x - 4)
Simplify 1/2(10x - 4) to 10x - 4/2
2x - 5 = 10x - 4/2
Factor out the common term; 2
2x - 5 = 2(5x - 2)/2
Cancel out 2
2x - 5 = 5x - 2
Subtract 2x from both sides
-5 = 5x - 2 - 2x
Simplify 5x - 2 - 2x to 3x - 2
-5 = 3x - 2
Add 2 to both sides
-5 + 2 = 3x
Simplify -5 + 2 to -3
-3 = 3x
Divide both sides by 3
- 1 = x
Switch sides
<u>x = -1</u>