1. Perimeter
22a + 2(6a + 8) -4 = p
[I got 22a from 12a + 10a]
2. If p = 250, what is a?
22a + 2(6a + 8) - 4 = 250
Distributive property
22a + 12a + 16 - 4 = 250
Add like terms
34a + 12 = 250
Subtract 12 by both sides
34a = 238
Divide 34 by both sides
a = 7
Answer:
13/28.
Step-by-step explanation:
(8/14 - 2/8) + 1/7
We can just remove the parentheses and simplify its contents:
= 4/7 - 1/4 + 1/7
= 4/7 + 1/7 - 1/4
= 5/7 - 1/4 The LCD of 7 and 4 is 28 so we have:
20/28 - 7/28
= 13/28.
Answer:
12, 13, 14
Step-by-step explanation:
Denote the integers as:
x
x+1
x+2
The sum of their squares, so that would be;
(x^(2)) + (( x + 1 )^(2)) + (( x + 2 )^(2)) = 509
write out the squares
x^2 + x^2 + 2x + 1 + x^2 + 4x + 4 = 509
combine like terms
3x^2 + 6x + 5 = 509
inverse operations
3x^2 + 6x + 5 = 509
-5 -5
3x^2 + 6x = 504
factor
3x^2 + 6x = 504
3 ( x^2 + 2x ) =504
Inverse operations
3 ( x^2 + 2x ) = 504
/3 /3
x^2 + 2x = 168
Factor again
x ( x + 2 ) = 168
At this point, it should be obvious that x is 12 (because 12 * 14 = 168)
So now substitute back into the consecutive numbers
x = 12
x + 1 = 13
x + 2 = 14
Answer:
16
Step-by-step explanation:
4 x 4 = 16 because you have to go through city E
Answer:
3n−32=7n+28
n=-15
Step-by-step explanation:
Let's solve your equation step-by-step.
3n−32=7n+28
Step 1: Subtract 7n from both sides.
3n−32−7n=7n+28−7n
−4n−32=28
Step 2: Add 32 to both sides.
−4n−32+32=28+32
−4n=60
Step 3: Divide both sides by -4.
−4n/−4=60/−4
n=−15
