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Paha777 [63]
3 years ago
10

Sherry earns an hourly wage plus a bonus for each day’s work. She uses the equation 10.5h + 50 to represent the total amount she

earns each day, where h is the number of hours she works. Sherry uses the table below to show the amount she earns.
What error did Sherry make when completing the table?

A. She did not start the table with 0 hours worked and $50 earned.
B. She should not have added 50 when she calculated the amount earned for 1 hour.
C. She added 10.5 and 50, then multiplied by 6 to calculate the amount earned for 6 hours.
D. She should have added 10.5 and 60 before multiplying by the hours worked.

Mathematics
2 answers:
noname [10]3 years ago
7 0

the answer is c..................

m_a_m_a [10]3 years ago
3 0

Answer:

C. She added 10.5 and 50, then multiplied by 6 to calculate the amount earned for 6 hours.

Step-by-step explanation:

Sherry earns an hourly wage plus a bonus for each day’s work.

She uses the equation 10.5h+50 to represent the total amount she earns each day, where h is the number of hours she works.

Lets check the equation for each hour.

For 1 hour:

10.5(1)+50

=> 10.5+50=60.5 dollars  (correct)

For 2 hours:

10.5(2)+50

=> 21+50=71 dollars      (correct)

For 4 hours:

10.5(4)+50

=> 42+50=92 dollars   (correct)

For 6 hours:

10.5(6)+50

=> 63+50=113 dollars    (wrong)

So, the 6 hours calculation is wrong.

Therefore, C is the right answer.

C. She added 10.5 and 50, then multiplied by 6 to calculate the amount earned for 6 hours.

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About 57 people rent skates at the skating rink each day. It cost $4.25 to rent skates. About how much does the Rink make in ska
seraphim [82]

Answer:1695.75

Step-by-step explanation:

We know that there are 7 days in a week. Since 57 people rent skates each day, we know that 57*7=399 skates are rented each week. Since one skate cost 4.25, we know that 399*4.25 is the cost, which is 1695.75. (If you are not allowed to use a calculator, you can do 400*4.25-4.25, to make it easier to compute)

4 0
3 years ago
A norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular. Find the dimensions of a norman
Yanka [14]

Answer:

W\approx 8.72 and L\approx 15.57.

Step-by-step explanation:

Please find the attachment.

We have been given that a norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular. The total perimeter is 38 feet.

The perimeter of the window will be equal to three sides of rectangle plus half the perimeter of circle. We can represent our given information in an equation as:

2L+W+\frac{1}{2}(2\pi r)=38

We can see that diameter of semicircle is W. We know that diameter is twice the radius, so we will get:

2L+W+\frac{1}{2}(2r\pi)=38

2L+W+\frac{\pi}{2}W=38

Let us find area of window equation as:

\text{Area}=W\cdot L+\frac{1}{2}(\pi r^2)

\text{Area}=W\cdot L+\frac{1}{2}(\pi (\frac{W}{2})^2)

\text{Area}=W\cdot L+\frac{\pi}{2}(\frac{W}{2})^2)

\text{Area}=W\cdot L+\frac{\pi}{2}(\frac{W^2}{4})

\text{Area}=W\cdot L+\frac{\pi}{8}W^2

Now, we will solve for L is terms W from perimeter equation as:

L=38-(W+\frac{\pi }{2}W)

Substitute this value in area equation:

A=W\cdot (38-W-\frac{\pi }{2}W)+\frac{\pi}{8}W^2

Since we need the area of window to maximize, so we need to optimize area equation.

A=W\cdot (38-W-\frac{\pi }{2}W)+\frac{\pi}{8}W^2  

A=38W-W^2-\frac{\pi }{2}W^2+\frac{\pi}{8}W^2  

Let us find derivative of area equation as:

A'=38-2W-\frac{2\pi }{2}W+\frac{2\pi}{8}W  

A'=38-2W-\pi W+\frac{\pi}{4}W    

A'=38-2W-\frac{4\pi W}{4}+\frac{\pi}{4}W

A'=38-2W-\frac{3\pi W}{4}

To find maxima, we will equate first derivative equal to 0 as:

38-2W-\frac{3\pi W}{4}=0

-2W-\frac{3\pi W}{4}=-38

\frac{-8W-3\pi W}{4}=-38

\frac{-8W-3\pi W}{4}*4=-38*4

-8W-3\pi W=-152

8W+3\pi W=152

W(8+3\pi)=152

W=\frac{152}{8+3\pi}

W=8.723210

W\approx 8.72

Upon substituting W=8.723210 in equation L=38-(W+\frac{\pi }{2}W), we will get:

L=38-(8.723210+\frac{\pi }{2}8.723210)

L=38-(8.723210+\frac{8.723210\pi }{2})

L=38-(8.723210+\frac{27.40477245}{2})

L=38-(8.723210+13.70238622)

L=38-(22.42559622)

L=15.57440378

L\approx 15.57

Therefore, the dimensions of the window that will maximize the area would be W\approx 8.72 and L\approx 15.57.

8 0
3 years ago
Can someone help me please?​
spayn [35]

Answer:

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Step-by-step explanation:

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3 0
2 years ago
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Which expression is equivalent to square root 81/100?
patriot [66]
I do believe that the answer is 9/10
6 0
2 years ago
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HELP EDCITE !! HELP PLEASE!!!!!!!!!!!!
Svetlanka [38]

Answer:

easy:

6*10 / 2 = 30

6*10 would be a rectangle. a right triangle is just half the area

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2 years ago
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