Answer:
Given:
I usually walk from home to work. This morning, I walked for 10 minutes until I was halfway to work.
I then realized that I would be late if I kept walking.
I ran the rest of the way. I run twice as fast as I walk.
Find:
The number of minutes in total did it take me to get from home to work
Step-by-step explanation:
Had I kept walking, the second half of my trip would have taken 10 more minutes.
By doubling my speed for the second half of my trip,
I halved the amount of time it took me to finish.
So, the second half of my trip took 5 minutes, for a total trip time of 10+5 = 15 minutes.
The number of minutes in total did it take me to get from home to work is 15 minutes.
6. A-C
8. A-D
Thats all I know, sorry.
(−4+8x)+3>x/−4
Remove the parenthesis and simplify the left side:
8x - 1 > x /-4
Add x/4 to each side:
8x + x/4 -1 > 0
Simplify the left side by combining 8x and x/4 as a fraction with a common denominator:
33x/4 -1 > 0
Add 1 to both sides:
33x/4 > 1
Multiply both sides by 4:
33x > 4
Divide both sides by 33:
x > 4/33
Three consecutive even integers whose sum is -48
Here, just substitute the value of y from 1st equation into 2nd equation,
x - 1/4 y = -1
x - 1/4 (4x - 4) = -1
x - (x - 1) = -1
x - x = -1 + 1
0 = 0
L.H.S = R.H.S
As both sides are equal, the system of equation has "Infinite many solution"
Hope this helps!