Answer:
the correct choice is marked
Step-by-step explanation:
Let x represent the smaller number. Then the larger number is 8x, and the difference is ...
8x -x = 280
7x = 280 . . . . . simplify
x = 40 . . . . . . divide by 7
The larger number is 8x = 8(40) = 320.
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<em>Additional comment</em>
Effectively, we have solved for the multiplier (40) that gives the ratio with 320 on top and a difference between top and bottom of 280:

Answer:
1/2
Step-by-step explanation:
Answer:
Susie reaches the store first being ahead by 0.06 hours.
Step-by-step explanation:
20 miles going 45 miles/hour.
20 miles / (45 miles / hour) = 20 miles hours / 45 miles =
= 20 hours / 45 = 4/9 hours = 0.44 hours
25 miles going 50 miles/hour.
25 miles / (50 miles / hour) = 25 miles hours / 50 miles =
= 25 hours / 50 = 1/2 hours = 0.5 hours
So Susie needs less time (= arrives first).
the difference is 0.5 - 0.44 = 0.50-0.44 = 0.06 hours
as additional practice :
0.06 hours is 60 × 0.06 minutes.
60 × 0.06 = 60 × 6 / 100 = 360 / 100 = 3.6 minutes.
Step-by-step explanation:
The formula for arc length [for the angle in degrees] is:

here,
= degrees
= radius
using this we'll solve all the parts:
r = 10, n = 20:


from here, it is just simplification:
2 and 360 can be resolved: 360 divided by 2 = 180

10 and 180 can be resolved: 180 divided by 10 = 18

finally, both 20 and 18 are multiples of 2 and can be resolved:

Option (E)
r=3, n=6:


Option (D)
r=4 n=7


Option (C)
r=2 n=x


Option (D)
r=y n=x


Option (E)