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SVETLANKA909090 [29]
3 years ago
15

Aaden wants to get a subscription to an online library. There are two subscription options, one of which charges a fixed 96 doll

ar annual fee and the other which charges 3 dollars per book he borrows.
Mathematics
1 answer:
pishuonlain [190]3 years ago
3 0

Answer:

The data we have is:

Library A charges $96 per year.

Library B charges $3 per book he borrows.

Let's find the number of books X that he needs to borrow in order to spend the same amount in each library:

$3*X = $96

X = 96/3 = 32.

This means that if Aaden borrows 32 books per year, is the same for him if he chooses library A or B.

If he borrows more than 32 books per year, library A will be cheaper. (if he borrows 33 books, library B costs 33*$3 = $99, which is larger than the $96 of library A)

If he borrows less than 32 books per year, library B will be cheaper. (if he borrows 31 books library B costs $3*31 = $93, which is cheaper than the$96 of library A)

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Explain to me in words how you would find the slope of this line and explain answer
Andrews [41]
Answer:
7/3

Explanation:
The slope of the line is equal to the rise/run, or in other words, the number of units the line travels upwards over the number of units the line travels to the right.

We can identify the slope using any two points on the line. Here, we can use the two points that are marked on the picture. The second point is 7 units above the first and 3 units to the right of the first, so the slope of the line is equal to 7/3.

Another way to calculate the slope of the line is the use this formula:

(y2-y1)/(x2-x1)

The first point is at the coordinate (1,-4) and second point is at the coordinate (4,3). When we plug these two coordinates into the equation, we get this:

(y2-y1)/(x2-x1)
->(3-(-4))/(4-1)

When we simply the fraction, we would get 7/3 and that would give us the slope.

I hope this helps!
7 0
3 years ago
What is the equation of the line in slope-intercept form?
GREYUIT [131]
Y=5/2x+5 because the slope is 5/2 and the y-intercept is 5
6 0
3 years ago
Please help solve this question with steps
Orlov [11]
39x^3 = 13*3*x*x*x

-6x^2 = 2*3*x*x*-1

-3x    = 3*x*-1

so in all these factorizations, 3*x is common. so 3x is the common factor.

by seperating the common factor,

3x(13x^2 - 2x-1)

will be the factorization.


   xy + 5x - 5y - 25

=x (y+5) -5 (y+5)
=(x-5) (y+5)

hope I helped ya!!!
8 0
3 years ago
A line is drawn so that it passes through the point (3,4) and (2,1). what is the slope of the line
Tamiku [17]
Y2-y1/x2-x1
1-4/2-3
Slope is: -3/-1 or 3
7 0
3 years ago
A superhero recently asked his nemesis how many cats she has. She answered with a​ riddle: ​"One-half of my cats plus two​."
mixer [17]
I got ten. Here's the equation. 

x = 1/2x + 5 

<span>Subtract 1/2x from both sides to get all x's on one side </span>

<span>x - 1/2x = 1/2x - 1/2x + 5 </span>

<span>1/2x = 5 </span>

<span>Now multiple the left by 2 to get x, but since it's an equation, you need to also multiply the right by 2 to keep it =. </span>

<span>2 * 1/2x = 2 * 5 </span>

<span>x = 10 cats</span>
4 0
3 years ago
Read 2 more answers
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