Answer:
Allison worked 6 hours lifeguarding and 3 hours washing cars.
Step-by-step explanation:
Let
Number of hours Allison worked lifeguarding last week = x
Number of hours Allison worked washing cars last week = y
1. Last week Allison worked 3 more hours lifeguarding than hours washing cars hours, then
<u>Lifeguarding:</u>
$12 per hour
$12x in x hours.
<u>Washing cars:</u>
$8 pere hour
$8y in y hours.
2. Allison earned a total of $96, hence
You get the system of two equations:
Plot the graphs of these two equations (see attached diagram). These line intersect at point (6,3), so Allison worked 6 hours lifeguarding and 3 hours washing cars.
Question 6
Given:
QR = RS
QR = x + 6
RS = 4x
To find:
Length of line segment QS
Steps:
We know QR = RS, so substituting we get,
x + 6 = 4x
6 = 4x - x
6 = 3x
6/3 = x
2 = x
x = 2
Now,
QS = QR + RS
QS = x + 6 + 4x
QS = 2 + 6 + 4(2)
QS = 2 + 6 + 8
QS = 8 + 8
QS = 16 units
Therefore, the length of QS is 16 units
Question 7
Given:
QR = RS
QR = 2x - 2
RS = 2x
To find:
Length of line segment QS
Steps:
We know that QR = RS, so substituting the values we get,
QR = RS
3x - 2 = 2x
3x - 2 - 2x = 0
3x - 2x = 2
x =2
Now,
QS = QR + RS
QS = 3x - 2 + 2x
QS = 3(2) - 2 + 2(2)
QS = 6 - 2 + 2(2)
QS = 6 - 2 + 4
QS = 4 + 4
QS = 8 units
Therefore, the length of QS is 8 units
Happy to help :)
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Answer: (1,3)
Step-by-step explanation:
Answer:
-7(1/7) = -1
Step-by-step explanation:
Answer:
x= −7/5
Step-by-step explanation:
Step 1: Distribute and combine like terms
3(x−6)−8x=−2+5(2x+1)
(3)(x)+(3)(−6)+−8x=−2+(5)(2x)+(5)(1)(Distribute)
3x+−18+−8x=−2+10x+5
(3x+−8x)+(−18)=(10x)+(−2+5)(Combine Like Terms)
−5x+−18=10x+3
−5x−18=10x+3
Step 2: Subtract 10x from both sides.
−5x−18−10x=10x+3−10x
−15x−18=3
Step 3: Add 18 to both sides.
−15x−18+18=3+18
−15x=21
Step 4: Divide both sides by -15.
Hope this helps! :)
