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:
he will get 13 hours with the bike
Step-by-step explanation:
26 divided by 2 = 13.
Answer:
Step-by-step explanation:
we know that
To find the number of pieces of rope 4/7 of a yard, divide the total length of the rope by 4/7
we have that
The total length of the rope is 20 yards
so
Answer:
57.0°
Step-by-step explanation:
180° - 123° = 57°
I did 180 because it is a supplementary, meaning that the angles add up to a straight angle (180°).
I won't do this for you, but I can give you a hint. Replace your f variable with -2, -1, 0, 1, and 2. Then take said f variable and put it in your y boxes. Then just get a calculator and do the work on there. It should be pretty easy.
