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3 years ago

Given that y and x are directly proportional and y=22 when x=6, find the value of y when x=15.

Mathematics

1 answer:

aev [14]3 years ago

6 0

Answer:

y = 55

Step-by-step explanation:

Hi,

Remember: if y and x are directly proportional, you could write a ratio with those values, as follows:

y:x becomes 22:6

You can write an equation with the new value:

y:15 = 22:6

Now solve by cross multiplication. Imagine that those ratios are fractions:

y/15 = 22/6

y*6=15*22

6y=330

y=55

The value of y is 55 when x is 15.

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A cylindrical swimming pool has a diameter of 20 feet and a height of 3.5 feet. How many gallons of water can the pool contain?

kvasek [131]

Answer:

The swimming pool will contain approx $8243\ gal$ of water.

Step-by-step explanation:

Given the swimming pool is in a cylindrical shape.

And the dimensions are $20\ feet$ diameter with a height of $3.5\ feet.$

Also, $1\ ft^3 =7.5\ gal$

First, we will find the volume of the swimming pool.

The swimming pool is in cylindrical shape.

So, the volume would be $\pi r^2h$

The height $(h)$ is given as $3.5\ feet.$ To calculate radius $(r)$ we will divide the diameter by two.

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Plug these values in the formula we get,

$\pi r^2h\\=\pi\times 10^2\times 3.5\\=3.14\times 100\times 3.5\\=1099\ ft^3$

Now, it is given $1\ ft^3 =7.5\ gal$

So, $1099\ ft^3 =1099\times 7.5\ gal=8242.5\ gal$

The swimming pool will contain approx $8243\ gal$ of water.

6 0

3 years ago

Solve the simultaneous equation 3x²-xy=0, 2y-5x=1

White raven [17]

Answer:

exact Form:(0,),(1,3)

Equation Form: ( 0, )

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Step-by-step explanation:

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3 years ago

What's 2 and 5/10 in standard decimal form

Evgesh-ka [11]

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3 years ago

Use Pythagorean Theorem to solve for the

babymother [125]

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to figure this problem out you put
a as 4
keep b as b since you don’t know what it is
c as 6

4 squared=16
6 squared=36

16+b^2=36
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3 years ago