Amechanic charged $220.28 to repair a car. the price included charges for 3 hours of labor and $126.53 for parts.

how much does the mechanic charge per hour, d, for labor?

solve for d.

The mechanic charges $31.25 per hour

A linear equation is given by:

y = mx + b;

where m is the rate of change, y, x are variables and b is the y intercept.

Since $220.28 is charged to repair a car. The price included charges for 3 hours of labor and $126.53 for parts. Let d represent the mechanic charge per hour, hence:

220.28 = 3d + 126.53

3d =93.75

d = $31.25 per hour

Hence the mechanic charges $31.25 per hour

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hi, i am not sure about this one but i think its d,

hope this !

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!