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
<span>2 x 4 x 3 factorial design, the study has 5 factors/ivs and 0 conditions.</span>
Answer:
$3,955
Step-by-step explanation:
Given that:
Initial deposit = $3500
Simple rate of interest = $3.25%
Number of years = 4
Simple interest = (principal * rate * time)
Principal = Initial deposit = $3500
Interest = $3500 * 3.25% * 4
Simple Interest = $455
Amount that will be in account after 4 years :
$3500 + $455 =$3955
Answer:
x = 17
Step-by-step explanation:
∠6 and ∠7 are vertically opposite angles and thus are congruent, hence
4x = 2x + 34 ( subtract 2x from both sides )
2x = 34 ( divide both sides by 2 )
x = 17