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Nonamiya [84]
2 years ago
7

1. Howard's CD House sells new CDs for $15 each and used CDs for $6 each. Bre'anna bought 51 CDs and spent a

Mathematics
1 answer:
Yanka [14]2 years ago
4 0

The numbers of new CDs is 30 and the old CDs is 21.

To solve this problem, we have to write a system of equations in which we would know the numbers of each types of CD she bought.

<h3>System of Equations</h3>

This is used to solve a series or complex of word problems in which we can represent in a mathematical statements;

  • Let n represents numbers of new CDs
  • Let u represents numbers of old CDs

The equations can be represented as

n + u = 51 ...equation(i)\\15n + 6u = 576 ... equation(ii)

Let's take equation (i)

Making n the subject of formula

n + u = 51\\n = 51 - u...equation(iii)

we can put equation (iii) into equation (ii)

15n + 6u =576\\n = 51 - u\\15(51 - u) + 6u = 576\\765-15u + 6u = 576\\collect like terms\\765-576=15u - 6u\\189=9u\\9u/9 = 189/9\\u = 21

Let's put the value of u into equation (i)

n + u = 51\\u = 21\\n + 21 = 51\\n = 51 - 21\\n = 30

From the calculations above, the numbers of new CDs is 30 and the old CDs is 21.

Learn more on system of equations here;

brainly.com/question/13729904

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Answer:

D.24

Pythagorean states:

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side2^2 = 30^2 - 18^2

side2^2 = 900 - 324

side2^2 = 576

side2 = sqr root 576

side2 = 24

Source: http://www.1728.org/pythgorn.htm

Step-by-step explanation:

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Step-by-step explanation:

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The graph of which function(s) will contain the point (4, 12)? y = x + 8 y = 3x y = 2x y = x + 6
Alex777 [14]

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Step-by-step explanation:

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now we can substitute the point in each of the function and check wether it lies on it or not.

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substitute y=12,x=4

12=4+8=12 which is true

B.  y=3x

substitute y=12,x=4

12=3*4=12 which is true

C.  y=2x

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12=2*4=8  which is not true

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Therefore option A and B are correct.

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