Answer:
60 guests
Step-by-step explanation:
We'll say that the number of guests is n.
We're looking for the n where both of these expressions are equal:
Company A (500 set-up fee, 25 for each guest)
500 + 25 * n
Company B (200 set-up fee, 30 for each guest)
200 + 30 * n
500 + 25n = 200 + 30n
Subtract 200 from both sides.
300 + 25n = 30n
Subtract 25n from both sides.
300 = 5n
We'll reverse the sides.
5n = 300
Divide both sides by 5.
n = 300/5 = 60
Thus, both companies are equal when n is 60, or when there are 60 guests.
Answer:
|x| + 6
Step-by-step explanation:
For F= (x) substitute x with g(x) = |x| + 6
Answer:
He lost 5 coconuts.
Step-by-step explanation:
When he divides the number left among 3 and 5 people the remainder is 2 in each case so the number that each person gets must be 15 or a multiple of 15.
So if x is the number left when he reaches home, then:
2 = x mod 3 and
2 = x mod 5
where x = 15 + 2 = 17 or 30 + 2 = 32 or 45 + 2 = 47.
But we also must satisfy 3 = x mod 4
If x = 17:
17 mod 4 = 1 so its not 17.
32 mod 4 = 0 so it's not 32.
47 mod 4 = 3 so x = 47.
Therefore the number he lost = 52 - 47 = 5.
Answer:
Step-by-step explanation:3,339,933
Answer:
B.It takes more than 12 loads to wash 9 bins of towels.
Step-by-step explanation:
The function f(x) gives the number of loads required when there are x bins of towels to be washed.
f(x)=Number of loads
x=Bins of towels
Therefore in the inequality f(9)>12
- Number of loads=12
- Bins of towel =9
If f(9)>12, it means Number of loads is more than 12.
f(9)>12 therefore tells us that it takes more than 12 loads to wash 9 bins of towels.
The correct option is B
