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:
D. A = πr^2
Step-by-step explanation:
The formula of the area of a circle is <u>A = πr^2</u>.
We can use the formula y2-y1/x2-x1 to find our answer. So, we have : t-16/5-2 = -3. We simplify that to t-16/3 = -3. We can then multiply both sides by 3 to get t-16 = -9. Then we can add 16 to both sides to get t = 7.
Answer:
Step-by-step explanation:
Consider irght triangle PRS. By the Pythagorean theorem,
Thus,
Consider isosceles triangle MSC. In this triangle
The area of this triangle is
Consider right triangle PTS. The area of this triangle is
The area of the quadrilateral PMCT is the difference in area of triangles PTS and MSC:
Answer:
41.2 miles per hour
Step-by-step explanation:
To find the miles per hour you need to find how much they travel each hour. To do this divide 412 by 10. When doing this you get 41.2 miles per hour
