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Pie
1 year ago
11

Carmen tutors history. For each hour that she tutors , she earns 30 dollars. Let E be her earnings (in dollars) after tutoring f

or H hours. Write an equation relating E to H. Then use the equation to find Carmen’s earnings after tutoring for 13 hours.
Equation: ______

Carmen’s earnings for 13 hour’s: ____ dollars
Mathematics
1 answer:
Lyrx [107]1 year ago
5 0

An equation is formed from two equal expressions. Carmen earns $390 for her 13 hours of tutoring.

Equation: An equation is created by equating two equations with an equal sign '='.

Let's say Carmen is earning $30 per hour of her tutoring her.

Therefore, the formula for Carmen's income after H hours of tutoring can be written as:

Income = hourly wage for individual instruction x number of hours

I = 30 × H

I = 30H

After 13 hours of tutoring, Carmen's income will be:

I = 30 (13)

I = 390

So, after 13 hours of tutoring, Carmen's income will be $390.

To learn more about such an equation visit: brainly.com/question/12534801

#SPJ1

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olga nikolaevna [1]

Answer:

Part A:

The surface area of a cylinder is given by

A=  6πr² if h= 2r

Part B:

Total Cost of covering the cylinder = Rate *2πrh + rate*2πr²

Cost of covering only the side = Rate *2πrh

Step-by-step explanation:

Part A:

The surface area of a cylinder is given by

A= 2πrh + 2πr²

Where h= height and radius = r

But we have the height twice as radius so h= 2r

So putting h= 2r we get

A= 2πr(2r) + 2πr²

A= 4πr² + 2πr²= 2πr²(2+1) = 2πr²(3)= 6πr²

Part B:

Cost = Rate * area of the wall + rate * area of the top and bottom

Cost = Rate *2πrh + rate*2πr²

Where area of the top and bottom= πr² +πr² =2 πr²

and area of the side = 2πrh

Multiplying both with the rate and then adding would give the total cost of materials needed to cover the outside of the cylinder and from top and bottom as well.

If  you do not need to cover top and bottom then the expression would be

Cost of covering only the side = Rate *2πrh

Part C:

Already done above.

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3 years ago
Which figure is described below? The point in space 4 units from point p
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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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