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Paladinen [302]

4 years ago

9

The bill (parts and labor) for the repair of a car is $1110.50. The cost of the parts is $575. If the car mechanic chargers $42

per hour, how many hours did the mechanic work in the car?
Please help me, I don’t know where to begin the question.

1 answer:

valkas [14]4 years ago

3 0

Answer:

Step-by-step explanation:

First you subtract the parts cost from the total bill to see the total cost of labor. After that divide that to 42 to see how many hrs they worked.

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The width of a rectangular room is 80% of its length. If the length of the room is 20 meters, what is the area of the room? A= l

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On a coordinate grid, both point (−4, −1) and (2, 6) points are reflected across the y-axis. What are the coordinates of the ref

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3 years ago

Nuts Galore sells a trail mix containing dried banana chips, roasted almonds, and chocolate chips that sells for $6.52 per pound

KengaRu [80]

Answer:

$x = 28$ ----- Banana

$y = 54$ ----- Almonds

$z = 18$ ---- Chocolate

Step-by-step explanation:

Let

$x \to$ banana

$y \to$ almonds

$z \to$ chocolate

So, we have:

$x + y + z = 100$ --- total used

$4x + 8y + 6z = 652$ -- i.e. 6.52 * 100 --- total sales from 100 pounds

$y = 3z$

Required

The number of pounds of each (i.e. x, y and z)

Substitute $y = 3z$ in $x + y + z = 100$

$x + 3z + z = 100$

$x + 4z = 100$

Make x the subject

$x = 100 - 4z$

Substitute $y = 3z$ in $4x + 8y + 6z = 652$

$4x + 8 * 3z + 6z = 652$

$4x + 24z + 6z = 652$

$4x + 30z = 652$

Substitute $x = 100 - 4z$

$4(100 - 4z) + 30z = 652$

$400 - 16z + 30z = 652$

Collect like terms

$- 16z + 30z = 652-400$

$14z = 252$

Divide by 14

$z = 18$

Substitute $z = 18$ in $x = 100 - 4z$

$x = 100 - 4 * 18$

$x = 100 - 72$

$x = 28$

To calculate y, we have:

$y = 3z$

$y = 3 * 18$

$y = 54$

6 0

3 years ago