Answer:
Step-by-step explanation:
a) perimeter = 8x + 3 + 5 + 7x + 4
b) perimeter = 15x + 12
4:
5+4, 4+5, 6+3, 3+6
There is a total amount of 36 different ways so:
4/36 = 1/9 = 11.11%
Answer:
NM = 15
Step-by-step explanation:
Given a secant and a tangent from an external point to the circle, then
The square of the measure of the tangent is equal to the product of the secant's external part and the entire secant, that is
(x + 3)² = (x - 3)(x - 3 + 16)
(x + 3)² = (x - 3)(x + 13) ← expand both sides using FOIL
x² + 6x + 9 = x² + 10x - 39 ( subtract x² + 10x from both sides )
- 4x + 9 = - 39 ( subtract 9 from both sides )
- 4x = - 48 ( divide both sides by - 4 )
x = 12
Then
NM = x + 3 = 12 + 3 = 15
1. The problem indicates that 300 pounds of oranges were purchased at $0.24 per pound, so the cost is:
300x$0.24=$72
2. A percent of 21% spoilage is expected, which means that 89% of 300 pounds of oranges left, is:
300x0.89=267 pounds of oranges
3. We want to calculate the selling price per pound of 267 pounds of oranges, so let's call this value "x":
Markup %=(Markup/cost)x100
Markup=267x-72
4. The desired markup, based on selling price, is 50%. So, when we substitute the values, we obtain:
(267x-72/72)x100=50
5. Let's clear the "x":
(26700x-7200/72)=50
26700x-7200=50x72
26700x-7200=3600
26700x=3600+7200
x=10800/26700
x=$0.40
x=40 cents
What should the selling price per pound be?
The answer is: 40 cents or $0.40
