All categories

2 years ago

a gas company in massachusetts charges $1.30 for 16.7 ft3 of natural gas. convert this rate to dollars per liter of gas

Mathematics

1 answer:

Katyanochek1 [597]2 years ago

5 0

By using a change of units, we can see that the rate in dollars per liter is:

R = $0.0027 per liter.

<h3>How to convert the rate?</h3>

Here we have a rate in dollars per cubic foot, and we want to rewrite this in dollars per liter. So we just need to apply a change of units.

The original rate is in dollars per square foot, and it is given by:

R = $1.30 for 16.7ft^3

We know that the relation between cubic feet and liters is:

1ft^3 = 28.32 L

Then, if we apply a change of units, we can rewrite the volume as:

16.7ft^3 = 16.7*(28.32) L = 472.9 L

Then the rate is $1.30 per 472.9 L, taking the quotient we get:

R = ($1.30/472.9 L) = $0.0027 per liter.

If you want to learn more about changes of units:

brainly.com/question/9032119

#SPJ1

You might be interested in

Complete the square x 2 + 8 x + 6

den301095 [7]

Answer:

6Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Help with num 9 please. thanks

Alik [6]

Answer:

See Below.

Step-by-step explanation:

We want to show that the function:

$f(x) = e^x - e^{-x}$

Increases for all values of x.

A function is increasing whenever its derivative is positive.

So, find the derivative of our function:

$\displaystyle f'(x) = \frac{d}{dx}\left[e^x - e^{-x}\right]$

Differentiate:

$\displaystyle f'(x) = e^x - (-e^{-x})$

Simplify:

$f'(x) = e^x+e^{-x}$

Since eˣ is always greater than zero and e⁻ˣ is also always greater than zero, f'(x) is always positive. Hence, the original function increases for all values of x.

8 0

3 years ago

Can all quadrilaterals be inscribed in a circle? Explain

-BARSIC- [3]

Depends of the size of the quadrilateral in relation to the circle, but otherwise, yes

3 0

3 years ago

Need this by tomorrow please and thank you!

Marrrta [24]

Answer:

I think it's x=5

Step-by-step explanation:

3x+15=2x+20

-2x. -2x

x+15=20

-15. -15

x=5

sorry if is not the answer

5 0

3 years ago

Graph the image of rhombus EFGH after a reflection across the line x = 3

igomit [66]

Answer: see image

Step-by-step explanation:

Draw line x = 3. Count how many units each point is away from line x = 3. Plot the new point the same number of units away from line x = 3 but in the opposite direction.

Point G is 4 units to the left of x = 3. The new point G' is 4 units to the right of x = 3.

Point F is 7 units to the left of x = 3. The new point G' is 7 units to the right of x = 3.

Point E is 7 units to the left of x = 3. The new point G' is 7 units to the right of x = 3.

Point H is 4 units to the left of x = 3. The new point G' is 4 units to the right of x = 3.

8 0

3 years ago