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lisabon 2012 [21]
3 years ago
11

A mechanic 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 for labor?
Mathematics
1 answer:
Assoli18 [71]3 years ago
6 0

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.

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Rainbow [258]
First you have to rewrite the equation:
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Third you have to take off the unecessary bracket:

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x + 32 = 152

Fifth step move the constant to the right hand and change the sign.
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Then subtract:

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Hope this helps :))
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Answer:

See below.

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You bicycle along a straight flat road with a safety light attached to one foot. Your bike moves at a speed of 15 km/hr and your
Viefleur [7K]

Answer:

a)

x(t) = ( 4.167 t + 0.2 cos (2πt))

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b) the  foot have to be 3.32 rev/sec faster

Step-by-step explanation:

Given that:

the speed of the bike = 15 km/hr = 15 × 1000/3600 (m/sec) = 4.167 m/sec

radius of the circle when the foot moves = 20 cm = 0.2 m

radius of the circle above the ground = 30 cm = 0.3 m

Let assume that:

x(t)  should represent the vector along the horizontal moment

y(t) should be the vector along the vertical moment

The initial component will be ( 0, 0.3)

We know that the radius of the circle is given as 0.2 m, So the vector of the circle can be written as (0.2 cos t , 0.2 sin t )

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Thus, adding all the component together ; we have:

(x(t), y(t)) = (0,0.3)+(4.167 t , 0)+(0.2 cos (2πt), -0.2 sin  (2πt))

(x(t), y(t)) = (4.167 t + 0.2 cos (2πt), 0.3 - 0.2 sin  (2πt))

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x(t) = ( 4.167 t + 0.2 cos (2πt))

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The rotational frequency is :

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= 3.32 rev/sec

Hence, the  foot have to be 3.32 rev/sec faster in rotating if an observer standing at the side of the road sees the light moving backward.

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