MATHEMATICS HIGH SCHOOL

Meg started her trip with 11 1/2 gallons of gas in her car's tank. She bought an additional 6 4/5 gallons on her trip and arrived back home with 3 3/10 gallons left. How much gas did she use on the trip?

Answers

Answer 1

Answer:

Answer:

Hence, the amount of gas she used on the trip is:

15 gallons.

Step-by-step explanation:

Meg started her trip with 11 1/2 gallons of gas in her car's tank.

i.e. we can represent the mixed fraction 11 1/2 in fraction as:

$11(1)/(2)=(23)/(2)gallons$

She bought an additional 6 4/5 gallons on her trip.

i.e. we can represent the mixed fraction 6 4/5 in fraction as:

$6(4)/(5)=(34)/(5)gallons$

Hence, the amount of gas filled in tank:

$=(23)/(2)+(34)/(5)\n\n=(23* 5+34* 2)/(10)\n\n=(115+68)/(10)\n\n=(183)/(10)gallons$

now after coming back home the amount of gas left in the car tank is:

3 3/10 gallons ; which could be represented in fraction as:

$3(3)/(10)=(33)/(10)$

Amount of gas used in the trip is:

=Amount of gas filled-gas remaining

$=(183)/(10)-(33)/(10)\n\n=(183-33)/(10)\n\n=(150)/(10)\n\n=15gallons$

Hence, the amount of gas she used on the trip is:

15 gallons.

Answer 2

Answer: Meg used 15 gallons. First you find the lowest common denominator to add 11 1/2 and 6 4/5, which is 10. What you do to the bottom you have to do to the top. You multiply 2 and 5, which gives you 10. 1 times 5 is 5... 11 5/10. 2 times 5 is 10, 4 times 2 is 8... 6 8/10. Add 11 5/10 and 6 8/10 and it gives you 18 3/10. To find out how much she used subtract the total amount she bought and how much she returned home with. The fractions cancel out since 3/10 minus 3/10 equals 0. You're just left with 18 minus 3, which is 15.

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Answers

1. 1 1/8= 18/16

5/16*2= 10/16

4/16*2= 8/16

9/16= 9/16

1/2= 8/16

18/16 + 10/16 + 8/16 + 9/16 + 8/16= 53/16

Simplify:

4 & 5/16sq ft

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Answers

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Answers

Answer:

$10m^2n^7$

Step-by-step explanation:

$-50m^4n^7 \ and \ 40m^2n^(10)$

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Answers

Answer:

Second option is the right choice.

Step-by-step explanation:

Divide the second equation by -5 and you'll get the equation same as first equation.

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A bus company charges a fixed amount plus a fee based on the distance traveled. The cost chart for the company is shown: Cost Chart Distance traveled (miles) (x) Cost (dollars) (y)
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Answers

The requried fixed amount charged by the bus company is $4. Option A is correct.

What is simplification?

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve.

Here,
To find the fixed amount charged, we need to look at the cost when the distance traveled is 0. From the given cost chart, we can see that when x = 0, y = 4.

Therefore, the fixed amount charged by the bus company is $4.

Learn more about simplification here:

brainly.com/question/12501526

#SPJ3

Answer:

Step-by-step explanation:

Because with no distance traveled, the fixed amount charged would be $4. For every mile traveled, there is an additional $5. So your correct answer is $4.

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Answers

Answer:

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Step-by-step explanation:

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