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: D. 12h + 21h2
Step-by-step explanation: The answer is D,
because when you devide 12h/3h = 4
and for the other value 21h2/3h=7h
4 + 7h
if you perform the same operation with the rest of answers you will get a minor values if you compare with this results, because of that the answer with the greatest common factor is D.
A 12 feet ramp is used to load stuff into the truck which is at a height of 3.5 feet from ground.
The ramp forms a Right triangle with ground and height of truck.
In the Right triangle, hypotenuse is 12 feet and height is 3.5 feet. We need to find horizontal base of right triangle.
We can use Pythagorean theorem that is given by :-
(Hypotenuse)² = (Base)² + (Height)²
(12)² = (Base)² + (3.5)²
144 = (Base)² + 12.25
(Base)² = 144 - 12.25
(Base)² = 131.75
(Base) = √131.75
So, horizontal distance is 11.48 feet.
Yes, they are equivalent. they are because they both simplify to be 5x-10. the second expression is the first expression slightly simplified.
