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ale4655 [162]
2 years ago
6

Suppose that y varies directly with x

Mathematics
1 answer:
Black_prince [1.1K]2 years ago
6 0

Answer:

  25/6

Step-by-step explanation:

The direct variation tells you that y is proportional to x. That means a reduction by a factor of 5/6 as x changes from 6 to 5 will result in a reduction of y by the same factor.

  y = (5/6)(5) = 25/6

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The square of the sum of two consecutive positive even integers is greater than the sum of their squares by 48. Find the two int
koban [17]

Answer:

  • 4 and 6 or -6 and -4

Step-by-step explanation:

Let the numbers are 2x and 2x + 2.

<u>We have:</u>

  • (2x + 2x + 2)² = (2x)² + (2x + 2)² + 48
  • 4(2x + 1)² = 4x² + 4(x + 1)² + 48
  • (2x + 1)² = x² + (x + 1)² + 12
  • 4x² + 4x + 1 = x² + x² + 2x + 1 + 12
  • 2x² + 2x - 12 = 0
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  • (x - 2)(x + 3) = 0
  • x = 2, x = -3

<u>The numbers are:</u>

  • 4 and 6 or - 6 and - 4

3 0
2 years ago
Right Triangle and Trigonometry , Please help!!! Will give Brainliest!!!
Harman [31]
That would be true because the adjacent side to B is 4 and the hypotenuse is 5 and the formula for cos b is adjacent/hypotenuse

Hope this helps!
3 0
3 years ago
Find the next term in this<br> arithmetic sequence.<br> 7/2, 9/4, 1, -1/4, -3/2,_
Damm [24]

Answer: -11/4

Step-by-step explanation:

5 0
3 years ago
A movie theater is giving away a souvenir poster to any customer with a concession stand receipt that exceeds $60. The
Doss [256]

Answer:

6x + 3.5y  is greater than 60

Step-by-step explanation:

Cost of x bags of popcorn = 6x

Cost of y bottles of soda = 3.5y

Total cost = 6x + 3.5y

To get a souvenir poster, this cost must exceed 60

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There is a new treatment to help smokers stop smoking in an experiment, 80% of 300 smokers quit after 10 days of treatment which
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Answer:

(0.755, 0.845)

Step-by-step explanation:

I got it right, on the test so trust me!

6 0
2 years ago
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