Answer:X=5
Step-by-step explanation:
6x + 12 = 42
-12. -12
6x=30
6x. 6
X=5
Check
6(5)+12=42
30+12
42
Answer:

Step-by-step explanation:
We are given the points (6,8) and (-2,4).
Find the slope:

Using a point and the slope, create a point-slope form equation and convert it into slope-intercept.

Hope this helps!
Answer:
10 songs
Step-by-step explanation:
20 + 1x = 3x
20 = 2x
10 = x
—
20 + 1(10) = 3(10)
20 + 10 = 30
30 = 30
8v + 8b = 240
4v + b = 54
------
Modify:
8v + 8b = 240
8v + 2b = 108
------
Subtract and solve for "b":
6b = 132
b = 22 (# of students in each bus)
-----
Solve for "v":
4v + b = 54
4v + 22 = 54
4v = 32
v = 8 (# of students in each van)
Answer:
casey has the faster rate
Step-by-step explanation:
first multiply jessicas race distance and time by 2
30 * 2
= 60
5 * 2
= 10
we did that so both jessicas time and caseys time was the same, making it easier to solve ( also by this point we already know who has the faster rate )
now we are going to divide both of their times and distances by 5
casey
10/5
= 2
45/5
= 9
jessica
10/5
= 2
60/5
12
the step is to divide their times/distances once again but this time by 2
casey
2/1
= 1
9/2
= 4.5
jessica
2/1
= 1
12/2
= 6
and our answer is 4.5 or casey !
4.5 > 6
hope this helps you! :)