Answer:
500 inches
Step-by-step explanation:
Let C₁ and n₁ be the circumference and the number of rotations of the larger wheel. Also, let C₂ and n₂ be the circumference and the number of rotations of the smaller wheel. Since the distance moved by both wheels from Ally's house to her neighbor's house is the same, n₁C₁ = n₂C₂. (1)
Also it is given that half the circumference of the larger wheel is 5 inches more than the circumference of one of the smaller wheels.
So, C₁/2 = C₂ + 5
C₁ = 2(C₂ + 5) (2)
Substituting C₁ into (1), we have
n₁C₁ = n₂C₂.
n₁[2(C₂ + 5)] = n₂C₂.
Since n₁ = 10 and n₂ = 25, we have
10[2(C₂ + 5)] = 25C₂
20(C₂ + 5) = 25C₂
expanding the bracket,
20C₂ + 100 = 25C₂
collecting like terms, we have
25C₂ - 20C₂ = 100
5C₂ = 100
dividing both sides by 5, we have
C₂ = 100/5
= 20 inches
So, the distance between Ally's house and her neighbor's house is d = n₂C₂ = 25(20)
= 500 inches
Answer:
no solution.
Step-by-step explanation: type it into the calculator on symbolab. it will tell you how to solve and give you the answer.
brainliest?
The gcf of 9 and 11 is 1.
Answer: $804.75
Step-by-step explanation:
The Social Security (OASDI) withholding rate is the gross pay times 6.2% of the maximum pay level for that particular year while the Medicare withholding rate is the gross pay times 1.45 %.
Laura has a job that pays $4,625 monthly. Her Medicare will be:
(1.45% of $4,625) × 12
= 0.0145 × $4625 × 12
= $804.75
Answer:
The average time to commute to work is 25 minutes.
Step-by-step explanation:
If average time for Dora to commute to work is 5 mins. If she takes 45 mins to get to work then her overall average time to commute to work will change as the average consists of 2 or more figures. The average time to commute to work is 25 mins ((5+45)/2). The average of 5 mins and 45 mins is 25 mins. This is the overall average time she takes to commute to her work.
