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galina1969 [7]
4 years ago
9

A store sells packages of comic books with a poster. A poster and 3 comics cost ​$9.99. A poster and 12 comics cost ​$18.99. Wri

te a linear function rule that models the cost y of a package containing any number x of comic books.
Mathematics
1 answer:
jekas [21]4 years ago
6 0

Answer:

A

Step-by-step explanation:

You might be interested in
A company manufactures and sells x monitors each hour. The hourly price and cost equations are: p=500-0.8x C(x)=4x+6000 a. Given
JulsSmile [24]

Answer:

The revenue function is given as

R(x) = 500x - 0.8x²

Step-by-step explanation:

Given the Price equation

P = 500 - 0.8x

and the Cost equation

C(x) = 4x + 6000

The revenue function is given as

R(x) = xP

But P = 500 - 0.8x

So

R(x) = x(500 - 0.8x)

= 500×x - 0.8x×x

= 500x - 0.8x²

R(x) = 500x - 0.8x²

3 0
3 years ago
Jane is 5 times older than her sister. In 3 years, Jane’s sister will be 1/4 her age. Find the ages now
Korolek [52]

The present age of Jane is 45 years old and present age of her sister is 9 years old

<em><u>Solution:</u></em>

Let the present age of Jane be "x"

Let the present age of her sister be "y"

<em><u>Jane is 5 times older than her sister</u></em>

present age of Jane = 5(present age of her sister)

x = 5y ---------- eqn 1

<em><u>In 3 years, Jane’s sister will be 1/4 her age</u></em>

Age of sister after 3 years = 3 + y

Age of jane after 3 years = 3 + x

Age of sister after 3 years = 1/4(age of jane after 3 years)

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

Substitute eqn 1 in above equation

3 + y = \frac{1}{4}(3 + 5y)\\\\12 + 4y = 3 + 5y\\\\5y - 4y = 12 - 3\\\\y = 9

Substitute y = 9 in eqn 1

x = 5(9)

x = 45

Thus present age of Jane is 45 years old and present age of her sister is 9 years old

3 0
4 years ago
Can someone help me pls!!
olga nikolaevna [1]

Answer:

x=1

Step-by-step explanation:

4 0
3 years ago
The point-slope form of the equation of the line that passes through (–5, –1) and (10, –7) is . What is the standard form of the
kvasek [131]

Answer:

Point-Slope form:  y+1=-\frac{6}{15}(x+5)\\

standard form:  2x+5y=-15


Step-by-step explanation:

The standard form is given by: Ax+By=C

The point-slope form is given by: y-y_1=m(x-x_1)


  • <em>Let's call (-5,-1) as point (x_1,y_1), and</em>

<em>point (10,-7) as point (x_2,y_2)</em>

  • <em>We also know that the slope m is given by m=\frac{y_2-y_1}{x_2-x_1}</em>

Let's find the slope:

m=\frac{-7-(-1)}{10-(-5)}=-\frac{6}{15}


1. So, point slope form can be written as:

y-(-1)=-\frac{6}{15}(x-(-5))\\y+1=-\frac{6}{15}(x+5)\\


2. Rearranging this equation and bringing all x's and y's to one side and the number to another side will give us the standard form. So:

y+1=-\frac{6}{15}x-2\\y+\frac{6}{15}x=-2-1\\y+\frac{6}{15}x=-3

<em>But A, B, and C (standard form) needs to be integers, so to get rid of the denominator , we multiply the whole equation by 15. So we have:</em>

y+\frac{6}{15}x=-3\\15y+6x=-45

<em>We can factor out a 3, so it becomes:</em>

15y+6x=-45\\5y+2x=-15

So standard form is 2x+5y=-15

8 0
4 years ago
HELP PLEASE! FIND THE SURFACE AREA OF PYRAMID
Wittaler [7]

Answer:

136.73972

Step-by-step explanation:

A=lw+l(w

2)2+h2+w(l

2)2+h2=6·5.2+6·(5.2

2)2+92+5.2·(6

2)2+92≈136.73972

6 0
2 years ago
Read 2 more answers
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