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Slav-nsk [51]
2 years ago
9

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

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Please help with #2 asap !
Triss [41]

Answer:

I'm sorry but I can't see question 2

Step-by-step explanation:

4 0
3 years ago
Smallest of 3 consecutive positive intergers if the product of the smaller two intergers is 5 less than 5 times the largest inte
amm1812

What a delightful little problem ! (Partly because I could see
right away how to do it, and had the answer in a few minutes,
after a lot of impressive-looking algebra on my scratch-paper.)

Three consecutive integers are . . . x,  x+1,  and  x+2

The smallest two are . . . x  and  x+1
    Their product is . . . . . x(x+1)

5 times the largest one is . . . 5(x+2)
      5 less than that is . . . . . . 5(x+2)-5

Now, the conditions of the problem say that    <u>x (x + 1) = 5 (x+2) - 5</u>
THAT's the equation we have to solve, to find 'x' .

       Eliminate parentheses:    x² + x = 5x + 10 - 5
            Combine like terms:    x² + x = 5x + 5
Subtract 5x from each side:    x² - 4x = 5
Subtract  5  from each side:   <u>x² - 4x - 5 = 0</u>

You could solve that by factoring it, or use the quadratic equation.

Factored, it says that    (x + 1) (x - 5) = 0

From which       <em>x = -1</em>
             and      <em>x = +5</em>

We only want the positive results, so our three consecutive integers are

             5,  6,  and  7 .   

To answer the question, the smallest one is    <em><u>5 </u></em>.

<u>Check</u>:

   5 x 6  ? = ?  (7 x 5) - 5

       30  ? = ?  (35) - 5

         30   =   30

             yay !   


6 0
3 years ago
What is the value of the expression 3-4 x 3-5<br> x
DerKrebs [107]
I believe if that says three minus four times three minus five or three plus negative four times three plus negative five (same thing) then the answers should be positive two (2.)
4 0
3 years ago
What is (3/4)^-2 and how do I express it as a positive?
dedylja [7]
16/9 because (3/4)^-2 simplified is 16/9  

7 0
4 years ago
Brainliest if it is right
cupoosta [38]

Answer:

17.8

Step-by-step explanation:

All you have to do is 8.9 x 2 = 17.8

HOPE HIS HELPS

6 0
2 years ago
Read 2 more answers
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