In the question it is given that the length of the blue lake trail is 11 3/8 miles. In the question it is also given that Gemma has hiked for a total time of 3 hours and each hour she has hiked 2 1/2 miles.
Now coming to solving the problem we get:
Total length of blue lake trail = 11 3/8 miles
= 91/8 miles
Distance hiked by Gemma in 1 hour = 2 1/2 miles
= 5/2 miles
Then the total distance hiked by Gemma in 3 hours = (5/2) * 3
= 15/2 miles
The distance left to cover the full trail = (91/8) - (15/2) miles
= (91 - 60)/8 miles
= 31/8 miles
= 3 7/8 miles.
So Gemma is 31/8 miles or 3 7/8 miles from the end of the trail.
Answer:
(x , 4-2x)
Graph image is attached.
Step-by-step explanation:
The first one is
5x-15=2x+12+3x
5x-2x-3x=12+15
0=27
The second one is
6.5x-7.75x=-12+14.5
-1.25x=-2.5
Divide both sides by - 1.25
X=. 02
The third one is
K-10=3
K=13
The second part of the third one is
-|k-10|=3
-k+10=3
-k=3+10
-k=13
Divide both sides by negative
K=-13
The fourth one is
4n+32=56
4n=56-32
4n=24
Divide both sides by 4
N=6
The second part to that one is
-4|n+8|=56
-4n-32=56
-4n=88
Divide both sides by - 4
N=22
The fifth one is
N+7-6=8
N=8-7+6
N=1+6
N=7
The second part to this one is
-|n+7|-6=8
-n-7-6=8
-n=8+7+6
-n=21
Divide both sides by negative
N=-21
The last one is
5x-7-3=9
5x=9+7+3
5x=19
Divide both sides by 5
X=19 over 5
The second part to this one is
-|5x-7|-3=9
-5x+7-3=9
-5x=9-7+3
-5x=5
Divide both sides by - 5
X=-1
I hope this helps you out.
Answer:
x1= -4, x2 = 7
Step-by-step explanation:
Move expression to the left-hand side:
1/4x-3/4-7/x=0
Write all the numerators above a common denominator:
x^2 - 3x - 28 /4x =0
When the quotient of expressions equal 0, the numerator has to be 0
x^2 + 4x - 7x - 28 = 0
x(x+4) - 7(x+4) =0
(x+4) × (x-7) =0
Separate into possible cases:
x+4=0
x-7=0
Step-by-step explanation:
<u>Step 1: Find the solution for the first one</u>
← Solution
<u>Step 2: Find the solution for the second one</u>
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← Solution
<u>Step 3: Find the solution for the third one</u>
← Solution
<u>Step 4: Find the solution for the fourth one</u>
← Solution
<u>Step 5: Find the solution for the fifth one</u>
← Solution
<u>Step 6: Find the solution for the sixth one</u>
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← Solution
