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:
<h3>
a. the vertex represents a minimum point</h3><h3>
b. f(x) = (x + 5)² - 5</h3>
Step-by-step explanation:
a.
a = 1 > 0 ← that means the parabola opens up, so the vertex is minimum of the function
b.
Answer:
C 10⁴
Step-by-step explanation:
The given equation is
Javier has to solve for n
He can multiply through by 100 to get;
He can now divide through by 775 to obtain:
He can now easily simplify to get:
We rewrite as a power to get:
Answer:
V =5292 in ^3
Step-by-step explanation:
To find the volume for a rectangular prism
V = l*w*h
V = 6 * 36 * 24.5
V =5292 in ^3
Answer:
1445.6 hours
Step-by-step explanation:
Distance between New York and San Francisco = 2902.8 miles (checked online)
Average speed of car = 2 mi/hr
Average speed of jet = 500 mi/hr
Time taken by Jet:
Time taken = Distance / speed
Time taken = 2902.8 / 500
Time taken = 5.8056 = 5.8 hours
Time taken by Car :
Time taken = Distance / speed
Time taken = 2902.8 / 2
Time taken = 5.8056 = 1451.4 hours
Time difference :
1451.4 - 5.8 = 1445.6 hours
