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SVETLANKA909090 [29]
4 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]4 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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For the triangles ABC and MNP m∠A = m∠M, AB = 16, AC = 10, MN = 7, MP = 24. Find the ratio of the A△MNP and A△ABC .
Digiron [165]

Answer:

Ratio of area of triangles MNP and ABC is 1.05

Step-by-step explanation:

There are 2 triangles ABC and MNP.

We are given that ,m∠A = m∠M.

AB = 16 and AC = 10.

MN = 7 and MP = 24.

Area of a triangle ∝ Product of any two sides.

So area of triangle ABC ∝ 16\times 10

Area of triangle ABC = 160\times k ,

where k is a constant.

So area of triangle MNP ∝ 7 \times 24

Area of triangle MNP = 168\times k

So ratio of area of triangles = \frac{Area of MNP}{Area of ABC}

                                              = \frac{168}{160}

                                               = 1.05

3 0
3 years ago
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Gena attached a dog ramp to her sofa, which allows her oldest dog to easily climb onto a seat cushion. The ramp is 55 inches lon
N76 [4]
If we were to view the ramp from its side, the profile would resemble a right triangle with a 90 degree angle where the sofa meets the floor.

In this case, the two legs of the right triangle are 55 inches and 28 inches, and we looking for the length of the hypotenuse.

We can use Pythagorean Theorem which states:

a^2 + b^2 = c^2

 where a and b are the legs, and c is the hypotenuse.

55^2 + 28^2 = c^2

3025 + 784 = c^2

c^2 = 3809

c =  \sqrt{3809}

c = 61.717 inches

To the nearest tenth, the answer is 61.7 inches.
3 0
3 years ago
Its not too hard but can someone explain this to me?
aliya0001 [1]

Answer:

B. No solutions

Step-by-step explanation:

If you try to simplify it, you get

2x-2x = -5-5 or

0 = -10

Which will not be true for any value of x.

If you would draw the lines y = 2x+5 and y=2x-5, you'd see two parallel lines that never intersect. The intersection would be the solution, but, it never happens.

3 0
2 years ago
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Can someone help me with this subtraction integers worksheet plzzzzzz.
Andre45 [30]

Answer:

sorry i can solve questions of level seven maybe I can help you with something else

Step-by-step explanation:

thank you!!!

7 0
3 years ago
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The solution set of the quadratic inequality x squared minus 5 x plus 4 less or equal than 0 is
BigorU [14]

Answer:

it is equal to 0

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