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
Answer:
Step-by-step explanation:
y - 4 = 5(x - 1)
y - 4 = 5x - 5
y = 5x - 1
Answer:
20° and 70°
Step-by-step explanation:
Complementary angles sum up to 90°.
The angle = x
Its complement = x + 50
x + x + 50 = 90
2x = 40
x° = 20°
20+50=70
Answer:
its the 4 one
Step-by-step explanation:
The three consecutive integers can be represented by x, x+1, and x+2
x+(x+1)+(x+2)= 42
3x+3=42
3x=39
x=13
Final answer: 13, 14, 15
