In order to simplify a fraction, we have to find a common factor in both numerator and denominator. So, let's start by factor the expressions completely: at the numerator we have
At the denominator we have
So, the fraction can be written as
You can see that there is a factor 
in common, that can be simplified:
Answer:
W=7 and L=11
Step-by-step explanation:
We have two unknowns so we must create two equations.
First the problem states that length of a rectangle is 10 yd less than three times the width so: L= 3w-10
Next we are given the area so: L X W = 77
Then solve for the variable algebraically. It is just a system of equations.
3W^2 - 10W - 77 = 0
(3W + 11)(W - 7) = 0
W = -11/3 and/or W=7
Discard the negative solution as the width of the rectangle cannot be less then 0.
So W=7
Plug that into the first equation.
3(7)-10= 11 so L=11
The answer is A. You can get that in by plugging in and checking or by substitution. In order to use substitution here, you would plug in 3x + 3 into y in the first equation. You would then distribute the 2 and solve for x, which would give you 0. Then you could plug that into either equation to find that y = 3.
<h3>
Answer: Approximately -0.0742857 grams per year</h3>
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Work Shown:
x = year
y = amount of hydrocarbon emissions in grams, per mile driven
m = rate of change = slope
m = (y2 - y1)/(x2 - x1)
m = (0.8 - 3.4)/(2007 - 1972)
m = -2.6/35
m = -0.0742857 approximately
The approximate rate of change is about -0.0742857 grams per year. The negative rate of change indicates the per mile hydrocarbon amount has gone down by about 0.0742857 grams each year.
Answer:
24 m
Step-by-step explanation:
the smallest common multiple of 6 and 8.
I know already what that is (24) based on experience, but let's do this formally via prime factoring :
6 ÷ 2 = 3
3 ÷ 2 no
3 ÷ 3 = 1 finished
8 ÷ 2 = 4
4 ÷ 2 = 2
2 ÷ 2 = 1 finished
6 = 2 × 3
8 = 2 × 2 × 2
the smallest common multiple is the combination of the longest streaks per prime factor.
and that is 3 times a 2 and 1 time a 3 :
2 × 2 × 2 × 3 = 24 m
