To find the unit rate, we need to divide 6 by 51.
51/6 = 8.50
Kevin earns $8.50 per hour
Answer:
Step-by-step explanation:
She bought 18 ride tickets at $0.75 per ticket, so she spent 18 * $0.75 = $13.50 on rides. She spent a total of $33.50 for only admission and rides.
$33.50 - $13.50 = $20
Admission is $20.
(a) Let y represent total cost. Let x represent the number of ride tickets.
(b) y = 0.75x + 20
(c) The total cost is the cost of x ride tickets plus the admission.
x ride tickets cost 0.75x.
Admission is a fixed 20.
Adding the cost of ride tickets, 0.75x, to the admission cost, 20, gives you the total cost, y.
Answer:
3f - 8 = number of pennies
Step-by-step explanation:
3f - 8 = number of pennies
1. Cross multiply
35x = 5(11)
35x = 55
Divide both sides by 35
x = 55/35
x = 11/7
2. (x - 2)/x = 3/8
Cross multiply
3x = 8(x - 2)
3x = 8x - 16
Subtract 8x from both sides
-5x = -16
divide both sides by -5
x = -16/-5
x = 16/5 OR 3 1/5
3. (a + 1)/(a - 1) = 5/6
cross multiply
6(a + 1) = 5(a - 1)
distribute
6a + 6 = 5a - 5
subtract 5a from both sides
a + 6 = -5
subtract 6 from both sides
a = -11
4. (1/3)x - 4 = (2/3)x + 6
multiply each term by 3 to clear the fractions
x - 12 = 2x + 18
subtract x from both sides
-12 = x + 18
subtract 18 from both sides
-30 = x
16x^2=9
x^2=9/18
x=sqrt(9/16)
x=3/4,-3/4
so the root of the quadratic equation are 3/4 and -3/4
