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labwork [276]
3 years ago
11

Shannon went to an auto repair shop and paid $339.50, which included parts that cost $112 and 3.5 hours of labor. Joni went to a

n auto repair shop and paid $455, which included parts that cost $310 and 2.5 hours of labor. Which correctly compares the cost of the labor?
Mathematics
1 answer:
Illusion [34]3 years ago
8 0

Answer:

Option A, Shannon paid $ 7 per hour to labor than Joni

Step-by-step explanation:

Total amount paid by Shannon = $339.50

Total cost of 3.5 hours of labor paid by Shannon =($339.50- $112)

Total cost of 3.5 hours of labor paid by Shannon = $227.5/3.5

Total cost of 1 hours of labor paid by Shannon  $65 per hour

Total amount paid by Joni = $455

Total cost of 2.5 hours of labor paid by Joni =  $455- $$310

Total cost of 1 hours of labor paid by Joni = $145/2.5

Total cost of 1 hours of labor paid by Joni = $ 58

Hence, Shannon paid $ 7 per hour to labor than Joni

Option A is correct

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Which of the following is the inverse of the given function? Y=3x^5-4
lawyer [7]

y\textrm{ }=\textrm{ }(\frac{x\textrm{ }+\textrm{ }4}{3} )^{\frac{1}{5} }

Step-by-step explanation:

   Given function y\textrm{ }=\textrm{ }3x^{5}\textrm{ }-\textrm{ }4

   To find an inverse for any given function, which is of the form y=f(x), always swap x and y in the equation and try to get the form  x=f(y). Now, swapping back x and y, we get the inverse function.

   On swapping x and y, we get x\textrm{ }=\textrm{ }3y^{5}\textrm{ }-\textrm{ }4

y\textrm{ }+\textrm{ }4\textrm{ }=\textrm{ }3x^{5}

x^{5}\textrm{ }=\textrm{ }\frac{y\textrm{ }+\textrm{ }4}{3}

x\textrm{ }=\textrm{ }(\frac{y\textrm{ }+\textrm{ }4}{3} )^{\frac{1}{5} }

   Swapping back x and y, we get y\textrm{ }=\textrm{ }(\frac{x\textrm{ }+\textrm{ }4}{3} )^{\frac{1}{5} }

   This is the inverse function.

3 0
3 years ago
NEED HELP ASAP I DONT GET THIS
denpristay [2]

Answer:

x = 60

Step-by-step explanation:

In a circle, the sum of the angles that meet at a point is 360 degrees. So now that we have the total, we can subtract all the given information in the picture. We have 84, 75, 68, and x + 73. Now let us set up and equation for this problem.

360 = 84 + 75 + 68 + x + 73

Now combine like terms.

360 = x + 300

Now subtract 300 on both sides.

x = 60

And this is the value of x.

5 0
3 years ago
Read 2 more answers
What does the remainder theorem conclude given that f(x)/x+6 has a remainder of 14? Enter your answer by filling in the boxes.​
musickatia [10]

Answer:

f(-6)=14

Step-by-step explanation:

According to the remainder theorem, if a function f(x) is divided by (x-a), then the remainder is defined by f(a).

It is given that \dfrac{f(x)}{x+6} has a remainder of 14.

Here, the function f(x) is divided by (x+6). So, on comparing (x+6) and (x-a), we get

a=-6

So, by remainder theorem, remainder of \dfrac{f(x)}{x+6} is f(-6).

Since the remainder is 14, therefore

f(-6)=14

Therefore, the answer for first blank is -6 and for second blank is 14, i.e., f(-6)=14.

6 0
3 years ago
Convert fraction to decimal 16/10​
m_a_m_a [10]

Answer:

1.6

Step-by-step explanation:

16/10 = 1.6

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3 years ago
In which of the following do you expect the correlation coefficient to be closest to 1?
Mashutka [201]

Answer:

The answer is c

Step-by-step explanation:

Answer is c sorry not explanation

4 0
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