Question

a car travels 276.4 miles on 14 gallons of gas. how many miles does the car travel per gallon?

Explanation:

Step1: Identify the formula

To find miles per gallon, we use the formula: Miles per gallon = Total miles / Total gallons of gas.

Step2: Substitute the values

Total miles = 276.4, Total gallons = 14. So we calculate \( \frac{276.4}{14} \).

Step3: Perform the division

\( 276.4 \div 14 = 19.742857\cdots \approx 19.74 \) (or keep more decimals as needed, but typically two decimal places for this context). Wait, actually, 276.4 divided by 14: 1419 = 266, 276.4 - 266 = 10.4, 10.4/14 = 0.7428..., so total is 19.7428... So approximately 19.74 miles per gallon (or exactly 19.7428...). Wait, let's do the division properly: 276.4 ÷ 14. 14 into 27 is 1 (141=14), remainder 13. Bring down 6: 136. 149=126, remainder 10. Bring down 4: 104. 147=98, remainder 6. Add a decimal point, bring down a 0: 60. 144=56, remainder 4. Bring down a 0: 40. 142=28, remainder 12. Bring down a 0: 120. 148=112, remainder 8. Bring down a 0: 80. 145=70, remainder 10. Wait, maybe I made a mistake earlier. Wait, 1419.74 = 14(20 - 0.26) = 280 - 3.64 = 276.36, which is close to 276.4. So more accurately, 276.4 ÷ 14 = 19.742857... So the exact value is 19.742857... miles per gallon.

Answer:

The car travels \(\boxed{19.74}\) miles per gallon (or \(\boxed{19.7429}\) if more precision is needed, but typically 19.74 or 19.7 depending on rounding). Wait, actually, 276.4 divided by 14: let's do it as 276.4 ÷ 14. 14*19 = 266, 276.4 - 266 = 10.4. 10.4 ÷ 14 = 0.742857. So total is 19.742857, so approximately 19.74 miles per gallon. So the answer is 19.74 (or 19.7 if rounded to one decimal place, but the problem doesn't specify, so maybe exact division: 276.4 /14 = 19.742857..., so we can write it as 19.74 (two decimal places) or 19.7 (one decimal place) or the exact fraction. But the standard is to calculate it as 276.4 ÷14 = 19.742857..., so the answer is 19.74 (or 19.74 when rounded to two decimal places).