First you need to find the common denominator. both 6 and 7 go in to 42 evenly
multiply 5/6 by 7 to get 35/42
multiply 2/7 by 6 to get 12/42
subtract 12 from 35 to get 23
23/42
Answer:
7.5
Step-by-step explanation:
The relation between time, speed, and distance is ...
time = distance/speed
If distance is "1 round trip", then the time going is ...
going = 0.5/(10 mi/h) . . . . for 1/2 round trip
and the time coming is ...
coming = 0.5/(6 mi/h)
Then the average speed for the full round trip is ...
speed = distance/time
average speed = 1/(going + coming) = 1/(0.5/10 +0.5/6) mi/h
= 1/((3+5)/60) mi/h
= 60/8 mi/h = 7.5 mi/h
Jack's average speed for the round trip was 7.5 mph.
Answer:
c. 25
Step-by-step explanation:
100/12 = 8.3
8.3 × 3 = 24.9
rounded up is 25
Answer:
In geometry, the tangent line to a plane curve at a given point is the straight line that "just touches" the curve at that point. Leibniz defined it as the line through a pair of infinitely close points on the curve.
Step-by-step explanation:
Answer:
Length: 6 m
Width: 4 m
Step-by-step explanation:
Area: 24 
Width: 2L - 8 m
Length: ?
Formula: A = W * L
Replace the variables:
24 = (2L - 8) * L
24 = 2
- 8L
0 = 2
- 8L - 24
or
2
- 8L - 24 = 0
Solve; if you don't know how to solve it using this method, let me know. It's the expression 
1. 
2. 
3. 
4. 
5. (L-6) (2L+4)
6. L-6 = 0 AND 2L+4 = 0
L - 6 =0
L = 6
---------------------------------
2L = -4
L = 
L = -2
Since the length cannot be negative, the only real value is 6.
Area: 24 
Width: 2L - 8 m
Length: 6 m
Calculate width:
W = 2L - 8
W = 2(6) - 8
W = 12 - 8
W = 4 m