Answer:
x=40 hours
Step-by-step explanation:
1/2x=watching television
x=time spent on homework
2x=time playing video games
The total amount of time spent doing all of these is 140 hours.
First: add up all the components and set them equal to the total time.
1/2x+x+2x=140
next solve for x by adding the variables and then dividing both sides by the number multiplied by x
3.5x=140
x=40
this gives you the value of x. Since the amount of time spent on homework is x, then the answer is 40 hours.
The perimeter of a rectangle is 2L+2W. Since we know that the perimeter is 26, then the equation to set up is 2L+2W=26, but it doesn't stop there. We are also told that the length is 5 less than the twice the width. To find this you set up a separate equation.
L=2W-5. You then substitute this equation in for L in the first equation
2(2W-5)+2W=26
From here you do the order of operations: PEMDAS
Parentheses: 2W-5- nothing can be simplified here
Exponents: There are no exponents
Multiplication: 2(2W-5)=4W-10 2W
Addition: 4W-10+2W=26 -> 6W-10=26
Subtraction: Though there is a number that is subtracted, it cannot be simplified on that side of the equal sign.
From here, we want to get W on its own on one side of the equal and everything that does not have W in it moved to the other side.
6W-10+10=26+10
6W=36
From here we want to isolate W from all numbers, so we divided both sides by 6
W=6
We now know the width, but wait! we now need to plug this back into the equation that gives us the length.
L=2W-5
L=2(6)-5
L=12-5
L=7
So, the length is 7 and the width is 5.
