Answer:
74
Step-by-step explanation:
All you have to do it first add f(x)+ g(x) and then plug in x=5.
(f+g) = f(x) + g(x)
= (7x- 2) + (9x-4)
= 7x - 2 + 9x - 4
= 16x - 6
(f + g)(5) = 16(5) - 6
= 80 - 6
= 74
Answer: 240 men
Step-by-step explanation:
From the question, we are informed that there were 600 performers in a dance recital and that the ratio of men to women is 4:6.
Fraction of men at the recital = 4/10
Fraction of women at the recital = 6/10
The number of men performers that were in the dance recital will be:
= 4/10 × 600
= 240 men
There were 240 men at the recital.
Answer:
243/506
Step-by-step explanation:
There are 24 total juice boxes.
18 of them are not grape
You have an 18/24 chance of picking not grape juice
The second time, 1 is removed, then another is removed. This creates:
(18/24)*(18/23)*(18/22) = 243/506
125 = 5^3 = 25 * 5

The simplification you are trying to do involves finding the prime factorization of a number. Since 125 is not divisible by 2, move on to 3. 125 is also not divisible by 3, so move on to 5. Then 125/5 = 25, and 25/5 = 5, so 125 = 5^3. The prime factorization of 125 is 5^3.