Answer:
The number of hours Jackie worked = 80hours
Step-by-step explanation:
Last summer:
Jackie made $960
Rachel made $960
let number of hours Jackie worked = x
Rachel worked 16 hours more than Jackie:
Number of hours Rachel worked = x + 16
if Jackie earned $y per hour
Rachel earned $2 less per hour = y-2
Jackie: 960 = x × y = xy
Rachel: 960 = (x+16)(y-2)
960 = xy -2x +16y -32
recall xy = 960, insert the value for xy
960 = 960 - 2x +16y -32
- 2x +16y -32 = 0
2x -16y = -32
x-8y = -16
x = 8y-16
recall xy = 960, insert the expression for x
(8y-16)y = 960
8y² -16y = 960
y² -2y - 120 = 0
y²+10y-12y -120 = 0
y(y+10) -12(y+10) = 0
(y-12) = 0 or (y+10) = 0
y = 12 or -10
since y can't be negative, y = 12
x = 8y-16
x = 8(12) -16 = 80
The number of hours Jackie worked = x = 80 hours
Answer:
702
Step-by-step explanation:
The total number of Fish in the aquarium is got by adding up the
Number of Salt Water Fish, and
Number of Fresh water Fish
Number of Salt water Fish = 483
Number of Fres hwater Fish = 358
Total Fish in Aquarium = 483 + 358 = 841
Later, 139 were moved to a new aquarium, the number of fish remaining is 841 MINUS 139. That is:
841 - 139 = 702 fish remaining now
Answer:
15860
Step-by-step explanation:
Calculator
Answer:
Part A: 64 (right-side 3th cell) and 7 (left-side 4th cell)
Part B: 5 hours- $45; 6 hours- $54; 8 hours- $72
Part C: $5 more
Step-by-step explanation:
Explanation for Part C- We know that if she works 5 hours mowing lawns, she will earn $40. But, when she works at the theme park we use the ratio given to find out how much she earn per hour. In her case she earns $9 for every hour she works at the theme park. now if you multiply that by 5 we can find out how much she earns in 5 hours which is $45. This is $5 more than what she earns mowing lawns for the same amount of time. Here we can conclude that Barbara earns $5 dollars more working at the theme park for 5 hours rather that mowing lawns.
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Fraction of strawberry = 1 / (2 + 1)
Fraction of strawberry = 1/3
Volume = πr²h/3
Volume = π(1.5)²(8)/3
Volume = 6π
Volume of strawberry = 1/3 x 6π
Volume of strawberry = 2π in³
