<span>Michelle
family drove 272.48 miles.
=> Michelle calculated that they drove 26.2 miles per gallon of gas.
Question: how many gallons of gas did the car use?
=> Unit rate = 26.2 miles per gallon
Now, they travelled a total of 272.48 miles.
To get the answer let’s divide the total miles they travel to the number of
miles for each gallon of gas.
=> 272.48 / 26.2 = 10.2
Thus, they need 10.2 gallon of gas to get to their destination.</span>
Answer:
the answer is c, less than or equal to 4
Answer:
Step-by-step explanation:
I think it is D but I am not sure
In the ratio, the numbers are 2 for the shortest side, 3 for the middle sized side, and 4 for the longest side.
2 is to 6 cm as 4 is to x
2/6 = 4/x
2x = 4 * 6
2x = 24
x = 12
Answer: The longest side measures 12 cm.
C: none of these are solutions to the given equation.
• If<em> y(x)</em> = <em>e</em>², then <em>y</em> is constant and <em>y'</em> = 0. Then <em>y'</em> - <em>y</em> = -<em>e</em>² ≠ 0.
• If <em>y(x)</em> = <em>x</em>, then <em>y'</em> = 1, but <em>y'</em> - <em>y</em> = 1 - <em>x</em> ≠ 0.
The actual solution is easy to find, since this equation is separable.
<em>y'</em> - <em>y</em> = 0
d<em>y</em>/d<em>x</em> = <em>y</em>
d<em>y</em>/<em>y</em> = d<em>x</em>
∫ d<em>y</em>/<em>y</em> = ∫ d<em>x</em>
ln|<em>y</em>| = <em>x</em> + <em>C</em>
<em>y</em> = exp(<em>x</em> + <em>C </em>)
<em>y</em> = <em>C</em> exp(<em>x</em>) = <em>C</em> <em>eˣ</em>