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
learn more on equation here: brainly.com/question/13887440
Answer:
3
Step-by-step explanation: i used my calculator
For x = ay - bz:
Add bz to both sides:
ay = x + bz
Divide a on both sides:
y = (x + bz)/a
For xy + yz = 10:
Distribute y from the left side:
y * (x + z) = 10
Divide by x + z:
y = 10/(x + z)
For (ab - ac)/z = x:
Multiply by z on both sides:
ab - ac = xz
Take out a from the left side:
a * (b - c) = xz
Divide by b - c on both sides:
a = xz/(b - c)
Answer:
x = 6 m
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = 
h (a + b)
where h is the perpendicular height and a, b the parallel bases
Here A = 60, h = 8, a = 9 and b = x , thus
× 8 × (9 + x) = 60, that is
4(9 + x) = 60 ( divide both sides by 4 )
9 + x = 15 ( subtract 9 from both sides )
x = 6 m
Answer:
Yes, 35 feet is enough
The angle of elevation is 4.1º
