Answer:
for #1: 70x = y
for #2: 70x + 100 = y
Step-by-step explanation:
you pay $70 for x amount of time with will equal your total therefore it's 70x = y
if you have to pay a one-time fee of $100.00 then you have to add that to your equation giving you 70x + 100 = y
hope this is right
hope it helps too :)
Answer:
EG = 16 and FH =22
Step-by-step explanation:
We know that the diagonals of a parallelogram bisect each other
so 2a = 3b+2
and 2a+3 = 6b-1
We know have a system of equations to solve
2a = 3b+2
2a+3 = 6b-1
Subtract 3 from each side
2a+3-3 = 6b-1-3
2a = 6b -4
Now we can set the 2 equations equal ( 2a = 3b+2 and 2a = 6b -4)
3b+2 = 6b-4
Subtract 3b from each side
3b-3b+2 = 6b-3b-4
2 = 3b-4
Add 4 to each side
2+4 = 3b-4+4
6 = 3b
Divide by 3
6/3 = 3b/3
2 =b
We want to find a
2a = 3b+2
Substitute in b=2
2a = 3(2) + 2
2a = 6+2
2a =8
Divide by 2
2a/2 =8/2
a = 4
Now that we know a and b
EG = 2a + 3b+2
= 2(4) + 3(2)+2
= 8+6+2
= 16
FH = 2a+3 + 6b-1
= 2(4) +3 +6(2)-1
= 8+3+12-1
= 23-1
= 22
Answer:
One piece is
inches and another piece is
inches
Step-by-step explanation:
Let smaller piece length be 
Let larger piece length be 
Since total of two pieces is 43, we can write:

Also, one piece is twice as long as the other (so longer piece is definitely twice as the short piece), we can write:

<em>Substituting equation 2 into equation one, we can solve for s:</em>

<em>Thus longer piece is:</em>

3x - (2x + 8) = -6
3x -2x - 8 = -6
x - 8 = -6
x - 8 + 8 = -6 + 8
x = 2