Solution of the equation: 
Step-by-step explanation:
The equation that we have to solve in this problem is:
The first step to do is to rewrite the mixed fractions as improper fractions. We have:
And
So the equation becomes
Now we multiply by 4 each term on both sides, and we get
Now we subtract 29 from both sides,
And finally, we divide both sides by 4:
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4x + 3y = 12
3y = -4x + 12
y = -4/3x + 4........so the slope (or gradient) is -4/3...because in y = mx + b form, the slope(gradient) is in the m position and the y int is in the b position....so if u wanted to know the y axis, it would be (0,4)
the x intercept (where the line crosses the x axis) can be found by subbing in 0 for y in the original equation or the slope intercept equation, and solving for x.
4x + 3(0) = 12
4x = 12
x = 12/4 = 3....so the x intercept is (3,0)
Luke: 2 miles in 40 minutes, 20 minutes a mile, (2/40 = 20 minutes a mile)
Luke's speed is 3 miles an hour (60minutes/20minutes a mile = 3miles).
Sally: 0.05 miles a minute, 60 minutes in an hour, 60 x 0.05 = 3 miles an hour. Or 0.05 miles a minute, 40 minutes walked, 40 x 0.05 = 2 miles walked.
There are a few other ways to show that they are accurate rates.
So yes, they are both correct rates.
Answer:
9m⁸n²
Step-by-step explanation:
(3m⁴n)² Remove parentheses
= 3²m⁸n² Square the 3
= 9m⁸n²
It separate what you are looking for
