When you isolate the variable to one side of the equation, you have to use the given operation to simplify the number on the other side of the equal sign.
Ex: 4x + 8 = 40
This is a simple one-step equation, but to solve this, first, you need to subtract 8 from 40.
4x = 40
- 8
4x = 32
Then, you divide 4x by 32.
4x = 32
4x 4
x = 8
However, with multi-step equations you have to do these three important steps.
1.) Distribute - the number that's on the outside of the parentheses, gets multiplied to all the numbers except for the one on the right side of the equal sign
2.) Combine Like Terms - numbers with coefficients like 3x, 6y, or 7a, that have another one like it, you need to add them together and keep the variable.
3.) Simplify - it's almost like combining like terms, except if you have more than one number with coefficient, then again, add all the numbers with the same variable together.
And by the way, coefficient basically is a "fancy" way to say "number with a variable attached".
I hope I helped :)
Answer:
6 2/3 minutes
Step-by-step explanation:
3 hours on frames 3 x 60 = 180 minutes total
180/27 frames = 6.66667 or 6 2/3 minutes.
Answer:
the equation of the line in slope-intercept form is: 
Step-by-step explanation:
First start by finding the slope of the segment that joins those two points using the general formula for the slope of the segments between two points 
and 
on the plane:
Then for our case, calling (-4, 6) = and (-8, 10) = , we have:
Now, knowing this, we can find the equation of the line by using the "point-slope" form of a line [of slope "m" and going through the point 
that tells us:
We will be then using the found slope (-1) and for example one of the given points: (-4 , 6), thus:
We can make two simple equations to express their ages to each other, then solve for one of the variables. Let n be Nojo's age and j be Jacob's age.
n(j) = 84
n - 5 = j
Use substitution to get only one variable in an equation.
n (n - 5) = 84
n^2 - 5n = 84
Since we have n to the power of 2, this equation has two possible answers, but since we are given four possible answer, just substitute them in the equation until one makes the left side equal 84.
<span>n^2 - 5n = 84
</span>12^2 - 5 (12) = 84
144 - 60 = 84
84 = 84
The answer is C = 12
Answer:
6 runners
Step-by-step explanation:
Each runner ran 7.5 km. If there were n runners, then (7.5 km)n = 45 km.
Solve this for n by dividing 7.5 km into 45 km:
n = 6
There were 6 runners.
