Answer:
31
Step-by-step explanation:
First type of clay required 3 cups of flour per batch
She made 5 batches
5 * 3 = 15
So she used 15 cups of flour for the first type of clay
Second kind of clay required 4 cups of flour per batches
She made 4 batches
4 * 4 = 16
So she used 16 cups of flour for the second type of clay
we now add the total number of cups of flour used for each type of clay
16 + 15 = 31
She used a total of 31 cups of flour
Answer:
The length of each red rod is 10 cm and the length of each blue rod is 14 cm
Step-by-step explanation:
Let
x ----> the length of each red rod in centimeters
y ----> the length of each blue rod in centimeters
we know that
----> equation A
----> equation B
Solve the system by graphing
Remember that the solution of the system of equations is the intersection point both graphs
using a graphing tool
The solution is the point (10,14)
see the attached figure
therefore
The length of each red rod is 10 cm and the length of each blue rod is 14 cm
Our equation looks like:

This means that we will need to distribute. This means that we need to multiply everything inside the parenthesis by the number outside of the parenthesis. (<em>Note: you only distribute when variables are involved.)</em>

Simplify:

We cannot simplify any further, so we know that our equation, until we know what x equals, is
.
So, the fraction of races that he won was:

: you need ti divide the number of occurrences by the number of possibilities.
We can simplify this:

.
When we write it in decimals until the closest place, it's:
0.167 or 16.667%
Answer: <u>3 hours and 20 minutes</u>
Step-by-step explanation:
3x + 2(3)x = 30
3x + 6x = 30
9x = 30
9/9 = 30/9
x = 3 1/3 hours