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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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A drawer is filled with 9 black shirts, 6 white shirts, and 5 gray shirts.
Lesechka [4]

Answer:

The probability is 1/20 or 5 %

Step-by-step explanation:

1). First, how many shirts there are in the drawer?

  9 + 6 + 5 = 20 shirts

2). Since we are choosing 1 shirt out of 20, then the probability will be 1/20 or 5%.

Hope this helpsss))

7 0
3 years ago
What is the perimeter, in centimeters, of the figure
xeze [42]

Answer:

30 cm

Step-by-step explanation:

add all sides and use 7 for the bottom line because 5+2=7 and use 8 for the side because 5+3=8.

5 0
3 years ago
The height of a rectangular prism is 3 feet. The length and width can be expressed as x-1 and x+4. If the volume of the prism is
SashulF [63]

Answer:

Step-by-step explanation:

Volume  = 198 ft

length * width * height = 198

(x - 1) * (x + 4) * 3 = 198

(x - 1) * (x + 4)  = 198/3

(x - 1) * (x + 4) = 66

x*x + x*4 -1*x - 1*4 = 66   {Use FOIL method to multiply}

x² + 4x - x - 4 = 66

x² + 3x - 4 =66

x² + 3x - 4 - 66 = 0

x² + 3x - 70 = 0

Now factorize.

x² + 10x - 7x - 7*10 = 0

x(x +10) - 7(x + 10 ) = 0

(x + 10)(x - 7) = 0

x - 7 = 0 {x + 10 is ignored because measurement cannot be in negative}

x = 7

length = x - 1 = 7 - 1 = 6ft

Width = x + 4 = 7 + 4 = 11 ft

4 0
3 years ago
Rena's rowboat drifts 23 feet from shore,
Brums [2.3K]

Answer: 23 + 9 = 32

Step-by-step explanation:

7 0
3 years ago
Jaxon and Lucius were selling lemonade. Jaxon and Lucius have a difference of 5 cups sold. Jaxon was selling his for $6 a cup an
dimaraw [331]

Answer:

the points are (35,30) you may need to search a graph online i used desmos

Step-by-step explanation:

1.     x= Jacksons Cups   y= Lucius Cups2.       x -  y= 5           6x + 3y = 300Substitution:                                                 6 (y+5) + 3y = 300             6y + 30 + 3y = 300                9y =   270                dived both by 9                         y=30        Sub y for other equation            x - 30 = 5         add 30 to both sides           x = 35        Answer:   (35, 30)     Graphing:   x- y = 56x+ 3y = 300solve both for y y = x-5 6x + 3y = 300minus 6x from both sides the points are in y = mx + b y= 1x -5 y= -2x + 100  I will also leave the ss of the graph in the comments if you cannot see it  My labels for the x-axis is Jacksons cups and y Is luscious cups.  Elimination:x - y = 5 6x + 3y = 300 First I manipulated the equations by the following    - 6 (x - y = 5 )   1(6x  + 3y = 300 )      -6x + 6y = -30        6x + 3y  = 300          The 6 x's cancel  and add the y's and real numbers together           9y = 270           dived both by 9                   y= 30        Sub y for other equation                      x - 30 = 6                add 30 to both sides                x= 30  The points are  (35, 30) The solution is (35,30)They represent how many cups they sold.   35 is Jackson cups and 30 is Lucious's cups  

7 0
3 years ago
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