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Arturiano [62]
3 years ago
11

A babysitter gets paid $60 for 4 hours of work. Write an equation to represent how many hours a babysitter would work for $90

Mathematics
1 answer:
Elza [17]3 years ago
6 0

Answer:

y= 90+15x

Step-by-step explanation:

A babysitter gets paid $60 for 4 hours of work. Write an equation to represent how many hours a babysitter would work for $90

Step one:

Given data

A babysitter gets paid $60 for 4 hours of work

let us find the pay per hour

pay per hour will be= 60/4

pay per hour will be= $15

let the number of hours be x and the money earned be y

the expression is

y= 90+15x

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Evaluate sin^2Θ, for Θ=45°
Zielflug [23.3K]

Answer:

sin^2(45) = (√2/2)^2 = 1/2

Step-by-step explanation:

sin2x = sin2 * x = 0.909x

sin(2(45)) = sin90 = 1

Hope this helps.

3 0
3 years ago
Read 2 more answers
The graph of F(x) shown below resembles the graph of G(x) = x ^ 2 but it has been changed somewhat . Which of the following coul
sukhopar [10]

Answer:

f(x) = 3x^{2} + 2

Step-by-step explanation:

Given G(x) = x^{2}

As we can see, the graph of f(x) is 2 units above the graphof g(x) in vertical (vertical shift)

=> f(x) = ax^{2} + 2

As you can see, the graph of f(x) is stretched vertically by a dilation factor of 3

and there is no reflection, so a= 3

=> the  equation of f(x) is:  f(x) = 3x^{2} + 2

5 0
3 years ago
The length of a rectangle is 8 feet more than its width. If the width is increased by 4 feet and the length is decreased by 5 fe
bezimeni [28]
Assign the following variables for the origina3l rectangle:
let w = width let w + 8 = length and the area would be w(w + 8) = w² + 8w

No for the second rectangle:
let (w + 4) = width and (w + 8 - 5) or (w + 3) = length
Area = length x width or (w + 4)(w + 3) = w² + 3w + 4w + 12 using the foil method to multiply to binomials. Simplified Area = w² + 7w + 12

Now our problem says that the two area will be equal to each other, which sets up the following equation:

w² + 8w = w² + 7w + 12 subtract w² from both sides
8w = 7w + 12 subtract 7w from both sides
w = 12 this is the width of our original rectangle
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7 0
3 years ago
Michelle is building a rectangular landing strip for airplanes .She has material to cover 1/1,500 of a square mile. The landing
ANEK [815]
I think that the missing word here is:
"with the amount of the material that Michelle has"

Let's say that her landing strip is x miles long, then its area would be:


\frac{1}{6} *x

We also know how big it is:

\frac{1}{6} *x= \frac{1}{1 500}

now, let's multiply both sides by 6:
\frac{6}{6} *x= \frac{6}{1 500}
1 *x= \frac{3}{750}
x= \frac{1}{250}


So the answer is that it would be x= \frac{1}{250} miles wide






3 0
4 years ago
Define equation. Give an example of two equivalent equations.
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A statement that has mathematical expressions that are equal.
Examples:
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8 0
3 years ago
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