Answer:
Mark:
x + y + z = 10
Jessica:
5x + 2y + 3z = 28
Nate:
3x + 3y + z = 20
Step-by-step explanation:
Let
x = number of pop song downloaded by Mike
y = number of rock song downloaded by Mike
z = number of hip song downloaded by Mike
Mark downloaded 10 songs in total consisting of pop, rock, and hip hop
Mark:
x + y + z = 10
Jessica downloaded five times as many pop songs, twice as many rock schgs, and three times as many hip hop songs as Mark. She downloaded 28 songs total.
Jessica:
5x + 2y + 3z = 28
Nate downloaded 20 songs total with three times as many pop songs, three times as many rock songs, and the same number of hip hop songs as Mark.
Nate:
3x + 3y + z = 20
The following system of equations represents their music choices
Mark:
x + y + z = 10
Jessica:
5x + 2y + 3z = 28
Nate:
3x + 3y + z = 20
So the equation of the circle is (x-h)²+(y-k)²=r² with the center being at point (h,k) and radius being r.
So for the first one:
Point is (5,4), the radius is 3.
Therefore, the equation should be (x-5)²+(y-4)²=9
For the second one,
Center is (4,3), the radius is 5.
Therefore, the equation should be (x-4)²+(y-3)²=25
Answer:ok hold on for a sec I had to I love Luna and I absolutely love Harry Potter
Step-by-step explanation:
8*14= 112 ounces
112/7= 16 candles
Jasmine can make 16 candles.
Well we would need to find the greatest common factor for these two 32 and 24 but we leave the X because it doesn’t share with the other number so the answer is 8(4x+3)