Answer:
x = 6
Step-by-step explanation:
We want to solve:

First, isolate the variable by moving all the terms with x to one side and all the constants to the other side:

Combining the fraction on the left, we get:

6/3 = 2, so:
2x = 12
Dividing both sides by 2 yields:
x = 6
Answer:
-2/3
Step-by-step explanation:
To find the slope of the line connecting two points, divide the change in y by the change in x.
Change in y --> 4 - (-2) = 6
Change in x --> -3 - 6 = -9
Change in y ÷ change in x = 6 ÷ (-9) = -2/3
Slope = -2/3
Answer:
Step-by-step explanation:
2p/2 = 2x+7
1) 2x+7 -x - 5 =
width = x + 2
2) 2p/2 = 21 in
x + 5 + x + 2 = 21
2x = 14
x = 7
lenght = 7 + 5 = 12 in
width = 7 + 2 = 9 in
3 )
A = (x+5)(x+2)
4)
A = 12 x 9 = 108
Answer:
The required equation is 3y=36 and the tape diagram is shown below.
Step-by-step explanation:
Consider the provided information.
We need to write a multiplication equation that has a solution of 12.
3y=36
We know we have to split 36 into three equal groups, so we have to divide by 3 to show this algebraically.
3y÷3=36÷3
y=12
Now check this with the help of tape diagram as shown.
Consider the figure 1.
This represents if 36 had to be split into three groups, how big would each group be?
By the tape diagram we concluded that the value of y is 12.
$92 - $20 = $72, because we shouldn't take allowance into account
3 + 6 = 9, because that is the total number of hours this person works per week
We should just do this:
72 / 9 = 8
This means that this person earns $8 per hour at his part time job.