Answer:

Step-by-step explanation:
Start with the distance formula:

Identify your values.

Substitute.

The
becomes positive as it's being multiplied by a negative.

Solve what is in parentheses.

Square what is in parentheses.

Add.

Find the square root (I usually do four digits after the decimal).

Round to the nearest hundredth.

Answer:
Given that the manager of Theatre A says that they usually go through about 15 cups of popcorn kernels and about 5 cups of oil each weeknight.
Then, the ratio value of oil to popcorn kernels for theatre A is 5 / 15 = 1 / 5.
Given that the manager of Theatre B says that they order 18 cups of oil and 72 cups of popcorn kernels each week.
Then, the ratio value of oil to popcorn kernels for theatre B is 18 / 72 = 1 / 4.
Given that the manager of Theatre C says that their concessions use 6 cups of oil and 32 cups of popcorn kernels on a busy Saturday.
Then, the ratio value of oil to popcorn kernels for theatre C is 6 / 32 = 3 / 16.
Step-by-step explanation:
<u>Given:</u>
Ratio of white and blue paint is 2:3
Total quantity of paint is 20 litres
<u>To find:</u>
Quantity of blue paint to be mixed so that the ratio of white paint to blue paint becomes 1:7
<u>Solution:</u>
The ratio 2:3 totals 20 that is 
So, the quantity of white paint in the mixture is
and the quantity of blue paint in the mixture is 
Now, to get the final ratio as 1:7, Mary should have
of blue paint. So, she need to add
.
Therefore, Mary has to add 44 litres of blue paint to the mixture to make the ratio as 1:7.
Answer: D
Step-by-step explanation:
i just did that and got it right
Answer: d. s ≥ 23
Step-by-step explanation:
Let s be the side of the square.
We know that the perimeter of a square =4s
Let f(s)=4s
If the cardboard should have a perimeter equal to at least 92 inches, the inequality would look like

Divide both sides by 4, we get

Thus, d. is the right answer. The reasonable domain of f(s) is 