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IgorLugansk [536]
4 years ago
13

Why is 12 inches 1 foot a conversion factor ?

Mathematics
1 answer:
Alinara [238K]4 years ago
3 0

I have no better answer than simply, because there are 12 inches in a foot.

By definition a conversion factor is one unit being used to express a group or multiple of another unit. Just like how there are 12 of anything in one dozen. 100 years in one century. 365 days in one year. 100 centimeters in a meter. 4 quarts in one gallon. 10 dimes in one dollar. They are equal to each other and, thus, can be used as conversion factors.

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3 years ago
Elena makes banana bread and nut bread to sell at the market. A loaf of banana bread requires 2 cups of flour and 2 eggs. A loaf
9966 [12]

Let x be the number of loaves of banana bread and y be the number of loaves of nyt bread Elena makes.

1. A loaf of banana bread requires 2 cups of flour and 2 eggs, then x loaves require 2x cups of flour and 2x eggs.

2. A loaf of nut bread takes 3 cups of flour and 1 egg, then y loaves require 3y cups of flour and y eggs.

3. Elena has 12 cups flour, then

2x+3y≤12.

4. Elena has 8 eggs, then

2x+y≤8.

5. If she makes $1.50 profit per loaf of banana bread and $2 per loaf of nut bread, then she makes total profit of $(1.50x+2y).

The solution of system of two inequalities

\left\{\begin{array}{l}2x+3y\le 12\\2x+y\le 8\end{array}\right.

is represented in the attached diagram.

The maximal profit can be obtained at point (3,2), where

\$(1.50\cdot 3+2\cdot 2)=\$8.5.

Answer: correct choice is C (Elena could make 3 loaves of banana bread and 2 loaves of nut bread to maximize her profit)

6 0
4 years ago
Read 2 more answers
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