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Kryger [21]
3 years ago
9

A shopper’s discount club charges a monthly fee of $15 and sells gasoline for $2.05 per gallon. The gas station across the stree

t sells gasoline for $2.35 per gallon and charges no fee. Write and equation to model how many gallons of gasoline would you have to buy in one month to spend the same amount at either store
Mathematics
1 answer:
NeX [460]3 years ago
8 0

Answer:

15 + 2.05 x = 2.35 x

Step-by-step explanation:

Let x be the number of gallons you would have to buy for the two places to be the same.

At the club, there is a monthly fee of $15 that is charged once in a month. They also charge $2.05 per gallon, which is charged every gallon of gas you buy.

We can write an expression: 15 + 2.05 x

At the gas station, they charge $2.35 per gallon with no other fees.

We can also write an expression: 2.35 x

For the prices to be the same, we have 15 + 2.05 x = 2.35 x

If we were to solve, then we have:

(2.35 - 2.05) x = 15

x = 15 / 0.3 = 50 gallons

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If someone could please walk me through on how to answer this.
Elis [28]

To isolate c means to separate it completely on one side of the equals sign.


To isolate variables, you apply opposite operations.


In E = mc², m and c are being multiplied together. To separate them, you divide by the variable you want to get rid of. However, you must do this to both sides of the equation always. Whatever you do to one side of the equation you must do to the other side as well. This is so the equation remains true.


Since we want to isolate c, we'll start by dividing both sides by m.


E = mc²

E/m = mc²/m

E/m = c²  --  The m's cancel as 1


Now we have c squared. The opposite of squaring something is taking its square root. Take the square root of each side.


E/m = c²

√(E/m) = √(c²)

√(E/m) = c  --  Opposite operations cancel each other out


And you've isolated c!


Answer:

c = √(E/m)

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3 years ago
8.2cm in millimeters
leonid [27]
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gayaneshka [121]
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