Answer:
$20
Step-by-step explanation:
Paul is making bread using a recipe. The amount of flour he uses is proportional to the number of loaves of bread. He uses 11 1/4 cups of flour to make 5 loaves of bread. If Paul used 18 cups of flour, and then sold the loaves of bread he made at a bake sale for $2.50 each, how much money would Paul make from his bread sales?
Step 1
Find out how many loaves of bread he can produce from 18 cups of flour
11 1/4 cups of flour = 5 loaves of bread
18 cups of flour = x loaves of bread
Cross Multiply
11 1/4 cups × x loaves = 18 cups × 5 loaves
x loaves = 18 cups × 5 loaves/ 11 1/4 cups
x loaves = 90 ÷ 11 1/4
x loaves = 90 ÷ 45/4
x loaves = 90 × 4/45
x loaves = 8 loaves of bread
He can produce 8 loaves of bread from 18 cups of flour.
Step 2
We are told that:
1 loaf of bread costs $2.50
Hence,
1 loaf of bread = $2.50
8 loaves of bread = $x
Cross Multiply
$x = 8 loaves of bread × $2.50
$x = $20
Therefore, Paul made $20 from his bread sales
Answer:
x=y/7
Step-by-step explanation:
So, the variable x is the number of jars of honey.
y is the total price of the honey.
So, x=y/7
or,
y=7x
Answer:
longer leg: 20 in
shorter leg: 15 in
hypotenuse: 25 in
Formulas:
<u>Pythagorean Theorem</u>
c ... hypotenuse
a ... one leg
b ... another leg
Pythagorean theorem is used in right triangles (triangles in which one angle is 90°).
Step-by-step explanation:
longer leg: x
shorter leg: x - 5
hypotenuse: x + 5
To find x (longer leg), let's use Pythagorean theorem.
Now let's factorize to get solutions for x.
First solution:
Second solution:
Since a side of a triangle has to be a positive number, x is equal to 20.
Now let's just substitute x back to get side lengths. From the question the lengths are in inches.
longer leg: x = 20 in
shorter leg: x - 5 = 20 - 5 = 15 in
hypotenuse: x + 5 = 20 + 5 = 25 in
