Answer:
8763
Step-by-step explanation:
Let x represent the number of students the college had last year. Then this year's enrollment is ...
... x - 3%·x = 8500
... x(1 - 0.03) = 8500 . . . . . collect terms
... x = 8500/0.97 ≈ 8762.89 . . . . divide by the coefficient of x
Enrollment last year was about 8763.
_____
Of course, you know 3% = 3/100 = 0.03.
Answer:
And step-by-step explanation
distance = speed * time
the first bus speed = x
second bus = x - 12
the sum of distance = 765 miles
first distance = 6x
second distance = 6 (x -12)
6x + 6(x-12) = 765
x + x -12 = 127.5
2x = 139.5
x = 69.75 mi/h which is the faster bus
the second bus speed = 57.75 mi/h
Answer:
6x+12
Step-by-step explanation:
This is an equivalent expression as all I did was simplify the expression using the distributive property. (6(x)) + (6(2)) = (6x) + (12) = 6x + 12
shown in reverse to prove this is equivalent would look like this. 6x+12 = (6(x)) + (6(2)) = 6(x+2)
Y=5x-2. Substitute into the second
-3x+6(5x-2)=-12
-3x+30x-12=-12
The -12 cancel
27x=0
x=0
y=-2
check in the second equation
0+6(-2)=-12
<span>(0,-2)</span>
