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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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Carrie has 40 more nickels than Joan has dimes. They both have the same amount of money. How many coins does each girl have? Wha
LuckyWell [14K]

Answer:

Carrie and Joan have 80 nickels and 40 dimes, respectively, and each one has an amount of money of 4 US dollars.

Step-by-step explanation:

Let be x and y the amounts of nickels and dimes that Carrie and Joan have, as c the total amount of money that both Carrie and Joan have. A nickel is a five cent coin and a dime is a ten cent coin.

The following equations are constructed after a careful reading on statement:

Carrie's amount of money:

0.05\cdot x = c (Eq. 1)

Joan's amount of money:

0.10\cdot y = c (Eq. 2)

Relation between amounts of coins:

x = y+40 (Eq. 3)

First we eliminate c by equalizing (Eq. 1) and (Eq. 2):

0.05\cdot x = 0.10\cdot y

Then, we reduce the resulting formula by (Eq. 3):

0.05\cdot (y+40) = 0.10\cdot y

y+40 = 2\cdot y

y = 40

And rest of variable are now determined:

x = 40+40

x = 80

c = 0.05\cdot (80)

c  = 4

Carrie and Joan have 80 nickels and 40 dimes, respectively, and each one has an amount of money of 4 US dollars.

5 0
3 years ago
If the average grade of an English class rose from 70 to 85, what is the approximate percent increase?
ratelena [41]

Answer:

The percent increase is approximately 21%

Step-by-step explanation:

85 - 70 = 15

15/70 = 0.21

Move decimal over twice to the right and you would get 21%

I hope you have/had an amazing day<3

6 0
2 years ago
Can anybody help me with my exponential growth / decay and functions homework?
Effectus [21]
Ok what is ur question i will help

4 0
3 years ago
3.4 m = cm help plezzzzz
AnnZ [28]

Answer:

thee answer shall be 3.4m = 340cm

6 0
3 years ago
Which means the sum of w and 3.4 is greater than or equal to 10.5
mr_godi [17]
It states "greater than or equal", therefore, you will have to use a sign which has equal in it.
w + 3.4 ≥ 10.5
5 0
4 years ago
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