Answer:
The answer to your question is below.
Step-by-step explanation:
14.- Use proportions to solve these problems.
14(x + 6) = 10(x + 9)
14x + 84 = 10x + 90
14x - 10x = 90 - 84
4x = 6
x = 6/4
x = 3/2
15.- 
10(x - 1) = 8(x + 2)
10x - 10 = 8x + 16
10x - 8x = 16 + 10
2x = 26
x = 26 / 2
x = 13
16.- 
5(x + 1) = 9(10/3)
5x + 5 = 30
5x = 30 - 5
5x = 25
x = 25 / 5
x = 5
Answer:
$31.25
Step-by-step explanation:
Let's set up an equation.
$220. 28 - total
$126.53 - cost for parts
3 - # of hours
? - price per hour
3h + $126.53 = $220.28
Subtract $126.53 from both sides.
3h = $93.75
Divide by 3.
h = $31.25
The mechanic charges $31.25 per hour for labor.
Hope that helps.
Answer:
no solution
Step-by-step explanation:
6x - 3y = 7 → (1)
- 2x + y = - 8 → (2)
multiplying (2) by 3 and adding to (1) eliminates the variables
- 6x + 3y = - 24 → (3)
add (1) and (3) term by term
0 + 0 = - 17
0 = - 17 ← false statement
This indicates the system has no solution
D + q = 40
.10d +.25q= $7.75
d +q = 40
d =40-q
.10(40-q) +.25q= $7.75
4 - .10q + .25q =7.75
4 +.15q =7.75
4-4 +.15q =7.75-4
.15q= 3.75
.15q/.15 = 3.75/.15
q = 25
d =40-25
d = 15
Check
.10(15) +.25(25)= $7.75
1.5+6.25=7.75
7.75=7.75
Answer:
x=4y+1
Step-by-step explanation:
3x−7=12y−4
Step 1: Add 7 to both sides.
3x−7+7=12y−4+7
3x=12y+3
Step 2: Divide both sides by 3.
3x
3
=
12y+3
3
x=4y+1
