All categories

3 years ago

You are putting a rectangular hot tub on your back porch. It is 6 feet long, 5 feet wide, and 3 feet deep

Mathematics

2 answers:

schepotkina [342]3 years ago

5 0

Answer:

a) 90 cubic foot

b) 90 cubic foot = 667.62 gallons

c) $3.3381

Step-by-step explanation:

volume of rectangular hot tub

= 6*5*3

= 90 cubic foot

1 cubic foot = 7.418 gallons

90 * 1 cubic foot = 90 * 7.418 gallons

90 cubic foot = 667.62 gallons

$5 = 1000 gallons

($5 / 1000) = (1000 / 1000) gallons

.005 * 667.62 = 1 * 667.62 gallons

$3.3381 = 667.62 gallons

Lyrx [107]3 years ago

5 0

Answer:

Step-by-step explanation:

The formula for determining the volume of a cuboid is expressed as

Volume = L × W × H

The rectangular hot tub is 6 feet long, 5 feet wide, and 3 feet deep. This means that

a) The number of cubic feet that the hot tub hold if it is completely full would be

5 × 6 × 3 = 90 ft^3

b) if 1 cubic foot = 7.418 gallons, then it means the number of gallons that it can hold would be

90 × 7.418 = 667.62 gallons

c) if water costs $5 per 1000 gallons, then the cost of filling the hot tub would be

(5 × 667.62)/1000 = 3338.1/1000

= $3.3381

You might be interested in

Please Help? A circle has an arc length of 5π in. The central angle for this arc measures π/3 radians. What is the area of the a

Zielflug [23.3K]

Answer:

The area of the associated sector is $\frac{25}{24}\pi \ in^{2}$

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The circumference of a circle is equal to

$C=2\pi r$

we have

$C=5\pi\ in$

substitute and solve for r

$5\pi=2\pi r$

$r=2.5\ in$

step 2

Find the area of the circle

we know that

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=2.5\ in$

substitute

$A=\pi (2.5^{2})=6.25\pi\ in^{2}$

step 3

Find the area of the associated sector

we know that

$2\pi\ radians$ subtends the complete circle of area $6.25\pi\ in^{2}$

by proportion

Find the area of a sector with a central angle of $\pi/3\ radians$

$\frac{6.25\pi }{2\pi} =\frac{x}{\pi/3}\\x=6.25*(\pi/3)/2\\ \\x=\frac{25}{24}\pi \ in^{2}$

8 0

3 years ago

Factor completely 3bx^2 - 9x^3 - b + 3x

Anna11 [10]

Factor out the common terms in the first two terms, then in the last two terms;

3x^2(b - 3x) - (b - 3x)

Factor out the common term b - 3x

5 0

3 years ago

Evaluate the expression without using a calculator: log10^3x-2y

Kruka [31]

Answer:

3x-2y

Step-by-step explanation:

log10^(3x-2y)

We know the base is base 10 since it is not written

log10 10^(3x-2y)

The log10 10 cancels

3x-2y

3 0

4 years ago

Read 2 more answers

Simplify this: log√24+ log6

Kitty [74]

simplifying $log\sqrt{24}+log6$ we get $log(12\sqrt{6})$

Step-by-step explanation:

We need to simplify: $log\sqrt{24}+log6$

Solving:

Applying the rule:

log a + log b = log(ab)

$log\sqrt{24}+log6\\=log(6\sqrt{24})\\\sqrt{24} = \sqrt{2*2*2*3} =\sqrt{2^2*6} =\sqrt{2^2} \sqrt{6}=2\sqrt{6}\\ Putting\,\,value:\\=log(6*2\sqrt{6})\\=log(12\sqrt{6})$

So, simplifying $log\sqrt{24}+log6$ we get $log(12\sqrt{6})$

Keywords: Simplifying Logarithms

Learn more about Simplifying Logarithms at:

#learnwithBrainly

3 0

4 years ago

How do I do a ratio?

Kamila [148]

A ratio is comparing one thing to another (numbers in this case). You can write ratios in many ways
here’s three different ways.
There are four girls and and 2 boys.
The ratio of girls to boys is:
4:2
4 to 2
4/2

*THE RATIO MUST ALWAYS BE IN ORDER!!! If boys come first in the problem WRITE THE BOYS NUMBER FIRST! If girls come first, WRITE THE GIRLS FIRST IN THE RATIO!!! (That’s a very common mistake) hope this helps!

6 0

3 years ago