Answer:
11 ounces
Step-by-step explanation:
Unpeeled = X
Peeled = (1 - 1/12)X = (11/12)X
X = (11/12)X + (11/12)
X - (11/12)X = 11/12
(1/12)X = 11/12
X = 11 ounces
Answer:
A= 154, B=22
Step-by-step explanation:
if meterorite A is 7 times bigger than B, then our equation would be 7B+B=176. This gives us B=22. Then you multiply 22 times 7 to get your A value.
You have two choices.
The minimum possible cost to operate your bat factory for a day is $390,
and there are two quantities of bats that both cost that much.
One possibility:
Produce no bats at all per day. Zero. Nada. None.
Cost = 0.06(0)² - 7.2(0) + 390 = $390 per day.
The other choice:
Produce 120 bats per day.
Cost = 0.06(120²) - 7.2(120) + 390
= 0.06(14,400) - 7.2(120) + 390
= 864 - 864 + 390
= $390 per day.
If you produce any other number of bats in a day ... more than zero
but not 120 ... then it will cost you more than $390 to operate the factory
that day.
x - y = 14
given the ratio x : y = 5 : 3
then let x = 5x and y = 3x, hence equation can be expressed as
5x + 3x = 56
8x = 56 ( divide both sides by 8 )
x = 7
Hence x = 5 × 7 = 35 and y = 3 × 7 = 21
Thus x - y = 35 - 21 = 14
