Answer:
800miles
Step-by-step explanation:
so we can deduce that, I gallon would go 20 miles, thus 300miles= 15gallons, x miles=1 gallon, then cross multiply where u will end up with 300÷15=20 miles
so 40 gallons= 40×20=800 miles
Answer:
800 miles
Step-by-step explanation:
Dimensional analysis involves using units to help with problem-solving. In this case, we'll use the given information and unit analysis to find the distance the car can drive on 40 gallons.
Given:
Let's set up a ratio and use dimensional analysis:
[tex] \dfrac{300 \, \textsf{miles}}{15 \, \textsf{gallons}} = \dfrac{x \, \textsf{miles}}{40 \, \textsf{gallons}} [/tex]
Now, let's solve for [tex]x[/tex]:
[tex] x = \dfrac{300 \, \textsf{miles} \times 40 \, \textsf{gallons}}{15 \, \textsf{gallons}} [/tex]
Cancel out the units to ensure dimensional consistency:
[tex] x = \dfrac{300 \times 40 \, \textsf{miles}}{15} [/tex]
[tex] x = \dfrac{12000 \, \textsf{miles}}{15} [/tex]
[tex] x = 800 \, \textsf{miles} [/tex]
Therefore, the car can drive approximately 800 miles on 40 gallons.
