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WITCHER [35]
3 years ago
15

When working overtime, an auto mechanic gets paid 1.5 times the normal hourly wage. Overtime is the amount of time worked beyond

40 hours a week. The auto mechanic's normal hourly wage is $21.00. Last week, the auto mechanic worked 46 hours.
Part A. Write an expression to represent the amount of money earned last week.
Part B. evaluate the expression you wrote in part A. ( the auto mechanic earned last week.)
Mathematics
1 answer:
DedPeter [7]3 years ago
7 0
So

x=hours
y=pay

use a piecewise function maybe

for x≤40, use y=21x


for x>40, use 840+1.5(21(x-40))


k, sso 46>40 so

840+1.5(21(46-40))
840+1.5(21(6))
840+1.5(126)
840+189
1029



A. 840+1.5(21(x-40))
B. $1029
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Through pythagoras:
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Because the square of the two sides add up to the square of the hypotenuse in a right triangle.

This means that
{z }^{2}  = {20}^{2}  -  {12}^{2}
{z}^{2}  = 400 - 144 = 256
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Step-by-step explanation:

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fredd [130]

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3 years ago
The faster you drive the less time it takes to reach your destination (a driver's speed is inversely proportional to the drive t
ziro4ka [17]

Answer:

The time the trip takes Kelly is approximately 34 minutes

Step-by-step explanation:

The topic examined by the question is the relationship between speed, distance traveled, and time which is presented here as follows;

Speed, \ S = \dfrac{Distance \ travelled \ 'd'}{Time \ taken \ 't'}

The given parameters of the journey are;

The time it takes Mike to travel from point 'a' to point 'b' = 45 minutes

The speed with which Mike travels = 60 miles an hour

The speed with which Kelly travels the same trip = 80 miles an hour

Let 'd' represent the distance from point 'a' to point 'b', and let 't' represent the time the trip takes Kelly

For Mike, we have;

S = d/t

∴ d = S × t

Where;

S = 60 miles per hour

t = 45 minutes = 0.75 hour

d = 60 miles/hour × 0.75 hour = 45 miles

The distance from point 'a' to point 'b' = d = 45 miles

Similarly, from S = d/t, we have for Kelly the time 't' given as follows;

t = d/S

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S = 80 miles/hour

d = 45 miles

∴ t = 45 miles/(80 miles/hour) = 9/16 hour = 9/16 hour × 60 min/hour = 33.75 minutes

The time the trip takes Kelly = 33.75 minutes ≈ 34 minutes.

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2 years ago
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