X = 3/2 or 1 1/2
Both of the equations equal -10, therefor the equations are equal.
Based on Janice average, she spent $50 at the last store.
Let a, b, c, d, e represent the money spent on the five stores respectively.
Since she spent an average of $30 at each store, hence:
(a + b + c + d + e) / 5 = 30
(a + b + c + d + e) = 150
She spent $100 on the first four stores, hence:
a + b + c + d = 100
(a + b + c + d + e) = 150
100 + e = 150
e = 50
Hence based on Janice average, she spent $50 at the last store.
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Answer:
66.7 in^3
Step-by-step explanation:
The volume of a triangular pyramid is given by
V = 1/3 B h
where B is the area of the base and h is the height
Calculate the area of the base. The base is a triangle
B = 1/2 bh where b is 8 and h is 5
= 1/2 (8) * 5
=20
V = 1/3 (20) 10
66.6666666
To the nearest tenth
66.7 in^3
A = 1/2(8+4)(3)
A = 6 * 3
A = 18
answer
<span>18 square yards</span>
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
