Answer:
6 miles
Step-by-step explanation:
Let the route length be r. The distance the cyclist has already covered is then (5/7)r + 40. This plus 0.75r - 118 must = r, the length of the entire route.
Then:
(5/7)r + 40 + (3/4)r - 118 = r
The LCD of the fractions 5/7 and 3/4 is 28. We thus have:
(20/28)r + 40 + (21/28)r - 118 = r, or
(41/28)r - 78 = (28/28)r
Combining the r terms, we get 13r = 78, and so r = 78/13 = 6.
The cyclist's bike route is 6 miles long.
4 miles
Step-by-step explanation:
if you travel 8 in 1 hour just cut it in half
8 * 1/2 = 4
Step-by-step explanation:
just multiply the 2 together to get the area
it would just be

use the distributive property

unless you want to simplify the answer, this would be the answer
simplified, it would be

Answer:
C, D, F
Step-by-step explanation:
She walked 12 miles. Then she walked 1/4 that distance. "That distance" is 12 miles.
That means she walked 12 miles plus 1/4 of 12 miles.
She walked
12 + 1/4 * 12
You can factor out 12 from the expression above, and write it as
12(1 + 1/4)
Now you can do the addition in parentheses.
12(1 + 1/4) = 12(4/4 + 1/4) = 12(5/4)
Answer:
C, D, F
It is hard to show work for this problem because it very similar to a basic addition or subtraction problem.
Just so you have the answer and how to solve. -27 is the answer. Think about it like 41-14 then add the negative back. But I would strongly suggest not writing that as work because you teacher might get confused about what you are doing