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postnew [5]
3 years ago
7

The surf instructor has an initial fee of $12 and charges $8 per hour for lessons, which is represented by the equation y = 8x +

12, where x is the number of hours and y is the total cost. The instructor gives 32 hours of lessons a month to Sandra and 24 hours of lessons a month to Bela. What is the total amount the instructor makes in a month?
The instructor makes $ a month.
Mathematics
2 answers:
strojnjashka [21]3 years ago
7 0
Y=8x+12

y=8(32)+12
y=256+12
y=268

y=8(24)+12
y=192+12
y=204

204+268=$472

The instructor makes $472 a month.
Roman55 [17]3 years ago
4 0

Answer:

472

Step-by-step explanation:


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Answer:

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Step-by-step explanation:

The steps are listed in the graphic.

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3 years ago
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8 0
2 years ago
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Paladinen [302]
<h2>            <u>Rectangular</u> <u>Areas</u> <u>and</u> <u>Perimeters</u></h2>

The perimeter of a rectangle is given by:

\boxed{\bold{Perimeter = 2 (length + width)}}

In the problem we have these data:

  • Length = a
  • Width = -2x + 20
  • Perimeter = 6 + 2 (-2x + 20)

We replace the data in the equation of the perimeter:

<h3>6 + 2 (-2x + 20) = 2 (a - 2x + 20) </h3>

We apply distributive property:

6 - 4x + 40 = 2a - 4x + 40

6 = 2a

6 ÷ 2 = a

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The area of ​​the rectangle is given by:

\boxed{\bold{Area = 2 (length + width)}}

We have these data:

  • Length = 3
  • Width = -2x + 20

We replace the data in the equation of the area:

<h3>Area = (3) (- 2x + 20) </h3>

We apply the distributive property and obtain:

Area = -6x + 60

<u>The expression representing the area of ​​the rectangle will be -6x + 60</u>

<h3>I hope I've helped!</h3>
8 0
3 years ago
Which glide reflection describes the mapping triangle ABC triangleDEF?
ZanzabumX [31]
In order to visualize the transformations, we must execute the transformation in the options

The first transformation would shift triangle ABC 3 units to the left and reflect it across x = 4. This will not map ABC unto DEF.

The second transformation would shift triangle ABC 7 units down and reflect it across x =4. This will map ABC unto DEF,

So, the answer is the second option.
5 0
3 years ago
Subtract: (x^2 - 8x + 5)-(-3x^2 + 5x-9)
Marianna [84]

Answer: 4x^2 -13x + 14

Step-by-step explanation:

(x^2 - 8x + 5)-(-3x^2 + 5x-9)

Subtract -3x^2 from x^2

(4x^2 - 8x + 5)-(5x-9)

Subtract 5x from -8x

(4x^2 -13x + 5)-(-9)

Subtract 9 from 5

4x^2 -13x + 14

7 0
3 years ago
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