QuestionDimitri's car gets 21 miles/gallon with a 12-gallon tank. Can he drive 202.4 miles? Show calculations and use dimensional analysis.

Studdy Solution

STEP 1

Assumptions1. Dimitri's car has a fuel efficiency of21 miles per gallon. His tank is full with12 gallons of gas3. The distance from Cincinnati to Toledo is202.4 miles

STEP 2

First, we need to find out how many miles Dimitri can drive with his full tank of gas. We can do this by multiplying the fuel efficiency of his car (in miles per gallon) by the number of gallons in his tank.
$Miles\, he\, can\, drive = Fuel\, efficiency \\times Number\, of\, gallons$

STEP 3

Now, plug in the given values for the fuel efficiency and number of gallons to calculate the miles he can drive.
$Miles\, he\, can\, drive =21\, miles/gallon \\times12\, gallons$

STEP 4

Calculate the miles Dimitri can drive with his full tank of gas.
$Miles\, he\, can\, drive =21\, miles/gallon \\times12\, gallons =252\, miles$

STEP 5

Now that we know how many miles Dimitri can drive with his full tank of gas, we can compare this to the distance from Cincinnati to Toledo to see if he has enough gas.
If the miles he can drive is greater than or equal to the distance from Cincinnati to Toledo, then he has enough gas. Otherwise, he does not.
$Miles\, he\, can\, drive \geq Distance\, from\, Cincinnati\, to\, Toledo$

STEP 6

Plug in the values for the miles he can drive and the distance from Cincinnati to Toledo.
$252\, miles \geq202.4\, miles$

STEP 7

Evaluate the inequality.
Since252 miles is greater than202.4 miles, Dimitri has enough gas to drive from Cincinnati to Toledo.

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QuestionDimitri's car gets 21 miles/gallon with a 12-gallon tank. Can he drive 202.4 miles? Show calculations and use dimensional analysis.

Studdy Solution

STEP 1

Assumptions1. Dimitri's car has a fuel efficiency of21 miles per gallon. His tank is full with12 gallons of gas3. The distance from Cincinnati to Toledo is202.4 miles

STEP 2

First, we need to find out how many miles Dimitri can drive with his full tank of gas. We can do this by multiplying the fuel efficiency of his car (in miles per gallon) by the number of gallons in his tank.
$Miles\, he\, can\, drive = Fuel\, efficiency \\times Number\, of\, gallons$

STEP 3

Now, plug in the given values for the fuel efficiency and number of gallons to calculate the miles he can drive.
$Miles\, he\, can\, drive =21\, miles/gallon \\times12\, gallons$

STEP 4

Calculate the miles Dimitri can drive with his full tank of gas.
$Miles\, he\, can\, drive =21\, miles/gallon \\times12\, gallons =252\, miles$

STEP 5

STEP 6

Plug in the values for the miles he can drive and the distance from Cincinnati to Toledo.
$252\, miles \geq202.4\, miles$

STEP 7

Evaluate the inequality.
Since252 miles is greater than202.4 miles, Dimitri has enough gas to drive from Cincinnati to Toledo.

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QuestionDimitri's car gets 21 miles/gallon with a 12-gallon tank. Can he drive 202.4 miles? Show calculations and use dimensional analysis.

Studdy Solution

STEP 1

Assumptions1. Dimitri's car has a fuel efficiency of21 miles per gallon. His tank is full with12 gallons of gas3. The distance from Cincinnati to Toledo is202.4 miles

STEP 2

STEP 3

Now, plug in the given values for the fuel efficiency and number of gallons to calculate the miles he can drive.Miles he can drive=21 miles/gallontimes12 gallonsMiles\, he\, can\, drive =21\, miles/gallon \\times12\, gallonsMileshecandrive=21miles/gallontimes12gallons

STEP 4

Calculate the miles Dimitri can drive with his full tank of gas.Miles he can drive=21 miles/gallontimes12 gallons=252 milesMiles\, he\, can\, drive =21\, miles/gallon \\times12\, gallons =252\, milesMileshecandrive=21miles/gallontimes12gallons=252miles

STEP 5

STEP 6

Plug in the values for the miles he can drive and the distance from Cincinnati to Toledo.252 miles≥202.4 miles252\, miles \geq202.4\, miles252miles≥202.4miles

STEP 7

Evaluate the inequality.Since252 miles is greater than202.4 miles, Dimitri has enough gas to drive from Cincinnati to Toledo.

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Now, plug in the given values for the fuel efficiency and number of gallons to calculate the miles he can drive.
$Miles\, he\, can\, drive =21\, miles/gallon \\times12\, gallons$

Calculate the miles Dimitri can drive with his full tank of gas.
$Miles\, he\, can\, drive =21\, miles/gallon \\times12\, gallons =252\, miles$

Plug in the values for the miles he can drive and the distance from Cincinnati to Toledo.
$252\, miles \geq202.4\, miles$

Evaluate the inequality.
Since252 miles is greater than202.4 miles, Dimitri has enough gas to drive from Cincinnati to Toledo.