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zalisa [80]
3 years ago
6

If y varies inversely with x and y=22 when x=10, find the constant of variation

Mathematics
1 answer:
swat323 years ago
8 0

Answer:

k = 220

Step-by-step explanation:

Given that y varies inversely as x then the equation relating them is

y = \frac{k}{x} ← k is the constant of variation

To find k use the condition y = 22 when x = 10

k = yx = 22 × 10 = 220

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The average business traveler spends almost $50 per day. Mary O Sullivan spent the following yesterday: dinner, $21.50; lunch, $
taurus [48]

To solve this, we simply add up the total amount of money she spent that day:

21.50 + 10.58 + 5.88 + 7.51 + 2.95 = 48.42

50 - 48.42 = 1.58

She was $1.58 under the average.

3 0
3 years ago
Tires are rotating at a rate of 32 revolutions per minute. Find the angular speed of the tires in radians per minute.
Anni [7]

Answer:

201.1 radians per minute

Step-by-step explanation:

The formula for Angular speed of tires in radians per minute =

1 revolutions per minute = 2π rad/min

32 revolutions per minute = x

x = 32 revolutions per minutes × 2 π radians per minute

x = 201.06192983 radians per minute

Approximately

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4 0
3 years ago
What is 82% of 525?<br> Show work
True [87]

Answer:

430.5

Step-by-step explanation:

1. We assume, that the number 525 is 100% - because it's the output value of the task.  

2. We assume, that x is the value we are looking for.  

3. If 525 is 100%, so we can write it down as 525=100%.  

4. We know, that x is 82% of the output value, so we can write it down as x=82%.  

5. Now we have two simple equations:

1) 525=100%

2) x=82%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

525/x=100%/82%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 82% of 525

525/x=100/82

(525/x)*x=(100/82)*x       - we multiply both sides of the equation by x

525=1.219512195122*x       - we divide both sides of the equation by (1.219512195122) to get x

525/1.219512195122=x  

430.5=x  

x=430.5

now we have:  

82% of 525=430.5

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Step-by-step explanation:

1 353÷14 = 96,642857142857

Then 97 boxes will be needed

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