8(51) = 8(50 + 1) = 8(50) + 8(1) = 400 + 8 = 408
Using a system of equations, it is found that there are 34 pop songs are on the playlist.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable x: Number of hip-hop songs.
- Variable y: Number of pop songs.
Brandon has a playlist with 83 hip-hop and pop songs, hence:
x + y = 83.
There are 15 more hip-hop songs than pop songs, hence:
x = 15 + y.
Replacing the second onto the first equation:
x + y = 83.
15 + y + y = 83.
2y = 68.
y = 34.
There are 34 pop songs are on the playlist.
More can be learned about a system of equations at brainly.com/question/24342899
Answer: 18
Step-by-step explanation:
Let x be the number of 2 point baskets made and y be the number of 3 point baskets made
:
1) x + y = 26
:
2) 2x + 3y = 60
:
solve equation 1 for x and substitute in equation 2
:
x = 26 - y
:
2(26 - y) +3y = 60
:
52 -2y +3y = 60
:
y = 8
:
x = 26 - 8 = 18
:
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The team made 18 2-point shots
To find the volume of a cylinder, you use this formula:
V =
h
Plug in your numbers,
V = (3.14 *
) * 13
Exponents:
V = (3.14 * 64) * 13
Parentheses:
V = 200.96 * 13
Multiply:
V = 
