The question asks for the unit rate when 1/4 of a kilometer is covered in 1/3 of an hour.
Recall that rate is the quotient of two quantities. In our case the numerator is the distance (1/4) of a kilometer, and the denominator is the time: 1/3 of an hour.
So, we perform the following division of fractions:
1/4 diided by 1/3 which is the same as: 1/4 times 3/1 = 3/4
and since we are asked for the UNIT rate, we do the actual division:
The unit rate is 0.75 km per hour.
First, distribute the 2.
2x+6=6+2x
These are the same, so therefore it is infinitely many, because whatever you plug in for x will work.
7/10x - 5 = 1/2x
7/10x - 1/2x = 5
7/10x - 5/10x = 5
2/10x = 5
x = 5 / (2/10)
x = 5 * 10/2
x = 50/2
x = 25 gallons <===
Answer:
B
Step-by-step explanation:
In the composition of <em>f</em><em> </em>and <em>g</em>, the equation is telling us to place the function <em>f</em> inside <em>g</em>. Observing in B that <em>f</em> is (x + 4), then this can be put in place of the x in 3x^2, making it 3(x + 4)^2 and finally the minus 5.
