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hoa [83]
2 years ago
9

y is directly proportional to the square root of x, y is 75 and x is 100. find a formula linking x and y

Mathematics
1 answer:
Law Incorporation [45]2 years ago
3 0

Answer:

y = 7.5\sqrt{x}

Step-by-step explanation:

given y is directly proportional to \sqrt{x} then the equation relating them is

y = k\sqrt{x} ← k is the constant of proportion

to find k use the condition y = 75 , x = 100 , then

75 = k\sqrt{100} = 10k ( divide both sides by 10 )

7.5 = k

y = 7.5\sqrt{x} ← equation of proportion

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BaLLatris [955]
Your answer is 138.61440

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2 years ago
A biker travels the 120 mi from New York , NY to Wilmington, DE in 8 hours. A bus, a truck, and a rider on a horse take the same
pickupchik [31]

Answer:

First, remember the relation:

Distance = Speed*Time.

We know that the distance is 120mi.

A) For the biker we know that:

Time  = 8hours.

Speed = Distance/Time = 120mi/8h = 15 mi/h.

B) For the bus we know that:

Time = 2 hours.

Speed = Distance/Time = 120mi/2h = 60 mi/h.

C) For the truck we know that:

Time = 2.5 hours.

Speed = Distance/Time = 120mi/2.5h = 48 mi/h.

D) For the rider on a horse we know that:

Time = 18.75 hours.

Speed = Distance/Time = 120mi/18.75h = 6.4 mi/h.

E) The equation for the speed is:

Speed = Distance/Time.

You can see that time is in the denominator, this means that if for a fixed distance, the time increases, then the denominator increases, which would imply that the speed decreases.

Then the speed is inversely proportional to the time when the distance is fixed.

4 0
2 years ago
When y=7.5 x=2 what is the value of y when x is 2 1/4
swat32
<h2>Answer:</h2>

The value of y is 8.4375

<h2>Step-by-step explanation:</h2><h3>Known :</h3>
  • y = 7.5
  • x = 2

<h3>Asked :</h3>
  • The value of y when x is 2.25

<h3>Solution :</h3>

2/7.5 = 2.25/y

Do a cross multiplication,

2/7.5 = 2.25/y

=> 20/75 = 2.25/y

=> 75 . 2.25 = 20y

=> 168.75 = 20y

Reverse the equation,

168.75 = 20y

=> 20y = 168.75

Find the value of y,

20y = 168.75

=> y = 8.4375

<h3>Conclusion :</h3>

y = 8.4375

7 0
2 years ago
Write this price as cents instead of dollars. $0.03
Elena-2011 [213]
None of the above there is no $0.03
5 0
3 years ago
Read 2 more answers
Please can someone explain and help me I am giving away 14 points the question is in the image
Tems11 [23]

Answer:

The area is 67.36 cm squared

Step-by-step explanation:

The height is 8.982. The base is 15. 8.982 * 15 = 134.73 / 2 = 67.36

5 0
2 years ago
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