You have to find the unit rate, which in this case means the amount of fish you need per serving of soup.
If 16 oz of fish makes 24 servings, then 16/24 oz = 2/3 oz makes 1 serving.
Now multiply both quantities by 10, so that 10 servings require 20/3 oz ≈ 6.67 oz of fish.
A more direct way to do this is to solve for <em>x</em> in the following equation:
(16 oz fish) / (24 servings) = (<em>x</em> oz fish) / (10 servings)
Then (omitting units)
<em>x</em> = 10 • 16 / 24 = 20/3
Answer:
432 in.^2
Step-by-step explanation:
The side of the suitcase is a rectangle. One length is 24 inches. The diagonal of the rectangle is 30 inches long. The diagonal is a hypotenuse of a right triangle. The length is a leg. We need to find the other leg.
We use the Pythagorean theorem,
a^2 + b^2 = c^2
(24 in.)^2 + b^2 = (30 in.)^2
576 in.^2 + b^2 = 900 in.^2
b^2 = 324 in.^2
b = sqrt(324 in^2)
b = 18 in
area of rectangle = length * width
A = 24 in. * 18 in.
A = 432 in.^2
A.) x + 8 < 14
-8 -8
x < 6
b.) x - 12 >/= 5.7
+12 +12
x >/= 17.7
The answer is 1 5/24 or 1.20833
