The length of the route of a bicylist that has covered 5/7 of his route and an additional 40 miles and yet to cover 118 miles less than 0.75 of his route is 168 miles.
<h3>How to form equation and solve for the variable?</h3>
The bicyclist covered 5 / 7 of his route and an addditional 40 miles.
Let
x = distance of his route in miles
Hence,
distance covered = 5 / 7 x + 40
He has yet to cover 118 miles less than 0.75 of his route. Therefore,
distance not covered = 0.75x - 118
Distance of his route = 5 / 7 x + 40 + 0.75x - 118
x = 5 / 7 x + 40 + 0.75x - 118
x = 1.464x - 78
x - 1.464x = -78
-0.464x = -78
x = 78 / 0.464
x = 168.103448276
x = 168 miles
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Answer:
c i took the test
Step-by-step explanation:
Answer:
Time taken = 6.2 hours
Step-by-step explanation:
Firstly, we will calculate the rate of each person per hour. Then we combine the rates and afterward divide the number of envelope they could address by the combined rate.
Casey can address 20 envelopes at the rate of 20 per hour.
Casey rate = 20 envelope per hr
Anne can address 44 envelope in 2 hours
Anne rate = 22 envelope per hr
Paula can address 68 envelope in 3 hours
Paula rate = 68/3 envelope per hr
Time it will take them to address 400 envelope can be solved below
Add their rate = 20 + 22 + 68/3 = 42 + 68/3 = (126 + 68)/3 = 194/3
Time = 400 ÷ 194/3 = 400 × 3/194 = 1200/194 = 6.1855670103
Time taken = 6.2 hours
The measure of each interior angle would be (16-2)180=2520, but then you need to divide 2520 by 16, so the answer is 157.5 degrees. Each exterior angle would be 22.5, because you take 360 and divide it by 16.
