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maxonik [38]
4 years ago
8

In order to practice at home, Tadeo purchased a basketball and a volleyball that cost a total of $67, not including tax. If the

price of the basketball b is $4 more than twice the cost of the volleyball v. Which system of linear equations could be used to determine the price of each ball?
a) b + v = 67; b = 2v - 4
b) b + v = 67; b = 2v + 4
c) b + v = 4; b = 2v - 67
d) b + v = 4; b = 2v + 67
Mathematics
2 answers:
Aleks [24]4 years ago
7 0
The answer would be B) b+v=67; b=2v+4
hoa [83]4 years ago
6 0

Answer: B. b + v = 67; b = 2v + 4

Step-by-step explanation: since both the basketball and the volleyball cost 67, we can represent that as b + v = 67.

If you multiplied the cost of the volleyball by 2 and then added 4, you would get the cost of the basketball:

b = 2v + 4

Hope this was helpful! Let me know if you have any further questions. :)

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The original quantity is 20 and the new quantity is 15. Adam incorrectly says the percent decrease is about ​14.29%. What is the
Yuki888 [10]

Answer: A. divided the difference of the two quantities by the sum of the two quantities.

===================================================

Explanation:

The difference of the quantities is 20-15 = 5

The sum of the quantities is 20+15 = 35

Dividing those results leads to 5/35 = 0.142857 which rounds to 0.1429

That converts to 14.29%

This is likely the path Adam took. This path is incorrect. The correct steps are shown below

---------------------

Difference = 20-15 = 5

Divide the difference over the original quantity

5/20 = 1/4 = 0.25 = 25%

We have a 25% decrease because the new quantity (15) is smaller than the old quantity (20)

----------------------

Here's another way to approach the problem

A = old value = 20

B = new value = 15

C = percent change

C = [ (B-A)/A ] * 100%

C = [ (15-20)/20 ] * 100%

C = (-5/20)*100%

C = -0.25*100%

C = -25%

The negative C value means we have a negative percent change, ie we have a percent decrease. So this is another way to get a 25% decrease.

4 0
3 years ago
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Find the length of a rectangle if its
Alina [70]

Answer: L = 29cm

Step-by-step explanation:

Let's go!!

To find any rectangle area, you have to apply this formula: A = L . w , where L is the length and w is the width.

So, we have w = L - 13 (the width is 13 less than the Length) and then, perimeter is 90 cm.

Well, I hope you remember that the perimeter of rectangle is 2L + 2W. In this case, 2L + 2w = 90

Then, you might to solve this system of equation:

2L + 2w = 90

w = L - 13

Simplifying the first equation, you'll have L + w = 45 (you can divide everything of 2).

Our new system:

L + w = 45

w = L - 13

Using the substituition method:

L + L - 13 = 45

2L = 58

L = 29 cm

the width is 29 - 13 = 16 cm

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|| means absolute value which is the distance from 0 the number is
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