Answer:
Step-by-step explanation:
"78% of P" looks like this in an algebraic expression: .78P
"117% of Q" looks like this: 1.17Q
"...is 23.4 more than [above]" looks like this: [above] + 23.4
Putting that all together in one equation, knowing that the word "is" means "equals":
.78P = 1.17Q + 23.4
From there, we will now use the fact that Q is 40% of P, which looks like this:
Q = .4P
Now, using that substitution:
.78P = 1.17(.4P) + 23.4 and
.78P = .468P + 23.4 and
.312P = 23.4 so
P = 75
Going back up to what Q is equal to, we will sub in the value of P and solve for Q:
Q = .4P and P = 75, therefore,
Q = .4(75) so
Q = 30
38 Is it explain step by step
Answer:
y = 55x + 15
Step-by-step explanation:
i think this is it, but it might not be right
Answer:
13 - 17![\sqrt{11}](https://tex.z-dn.net/?f=%5Csqrt%7B11%7D)
Step-by-step explanation:
Using the rule
×
= a
Each term in the second factor is multiplied by each term in the first factor, that is
2
(
- 9 ) + 1 (
- 9 )
Distribute both parenthesis
= (2 × 11) - 18
+
- 9
= 22 - 17
- 9
= 13 - 17![\sqrt{11}](https://tex.z-dn.net/?f=%5Csqrt%7B11%7D)
Answer:
1. X > 8
2. a. X < 5
Step-by-step explanation:
1. 3x - 8 > 16
+8. +8
3x > 24
divide both sides by 3
x >8
2. 2x - 1 < 9
+1. +1
2x < 10
divide both sides by 2
x < 5