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ki77a [65]
3 years ago
12

I need the answer for this image

Mathematics
2 answers:
Cloud [144]3 years ago
8 0

Answer:

12

Step-by-step explanation:

240/20 = 12

216/18 = 12

168/14 = 12

108/9 = 12

then:

the constant of proporcionality is:

12

olga55 [171]3 years ago
4 0

Answer:

14

Step-by-step explanation:

Divide the number of laps by the number of swimmers for one of the rows. I did 108/9. You can double check by doing a second row. I did it wrong the first time sorry. That’s why you double check

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A table top is 1 3/4 feet wide and 3 1/2 feet long . what is the area of the rectangular table top?
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Answer:

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3 years ago
In the following exercises, solve
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Answer:

When the volume of a gas in a container varies inversely with the pressure on the gas and a container of nitrogen has a volume of 29.5 litres with 2000 psi. So, if the tank has a 14.7 psi pressure, then the volume of the tank would be 4013.6 litres.

Step-by-step explanation:

  • The volume of a gas in a container varies inversely with the pressure on the gas. If a container of nitrogen has a volume of  litres with  psi, what is the volume if the tank has a  psi pressure.
  • Calculate the volume to the nearest whole number.
  • Use the given values and calculate the proportionality constant as well as required solution.

Step 1 of 2

Write the inversely proportionality relation between the volume and pressure of a gas in container.

$v \propto \frac{1}{p}$

Where volume is represented by v and pressure is represented by p.

Remove the proportionality and place a constant say k.

$v=\frac{k}{p}$

Substitute the given values of nitrogen that v=29.5 and

p=2000 and calculate the value of k from above equation.

$$\begin{aligned}&29.5=\frac{k}{2000} \\&\Rightarrow k=29.5 \times 2000 \\&\Rightarrow k=59000\end{aligned}$$

Step 2 of 2

Substitute the value p=14.7 and above calculated k value in the equation

$$\begin{aligned}&v=\frac{k}{p} . \\&v=\frac{59000}{14.7} \\&\Rightarrow v=4013.6\end{aligned}$$

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2 years ago
What is the total number of possible 4-letter arrangements of the letters m-a-t-h if each letter is used exactly once in each ar
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Answer:

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Step-by-step explanation:

The number of permutations of 4 items is 4! = 24.

  math, maht, mtah, mtha, mhat, mhta,

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  tmah, tmha, tamh, tahm, thma, tham,

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