Answer:
The dimensions of the yard are W=20ft and L=40ft.
Step-by-step explanation:
Let be:
W: width of the yard.
L:length.
Now, we can write the equation of that relates length and width:
(Equation #1)
The area of the yard can be expressed as (using equation #1 into #2):
(Equation #2)
Since the Area of the yard is
, then equation #2 turns into:

Now, we rearrange this equation:

We can divide the equation by 5 :

We need to find the solution for this quadratic. Let's find the factors of 160 that multiplied yields -160 and added yields -12. Let's choose -20 and 8, since
and
. The equation factorised looks like this:

Therefore the possible solutions are W=20 and W=-8. We discard W=-8 since width must be a positive number. To find the length, we substitute the value of W in equation #1:

Therefore, the dimensions of the yard are W=20ft and L=40ft.
Answer:
18x = 7.2
x =.4
Step-by-step explanation:
Let x = the weight of one box
We have 18 boxes that weigh 7.2 lbs
18x = 7.2
Divide each side by 18
18x/18 = 7.2/18
x =.4
Answer:
Step-by-step explanation:
1. not equivalent
2. not equivalent
3. fully simplified
4.not fully simplified
5. not fully simplified
6. not fully simplified
Answer:
Step 1
Step-by-step explanation:
You should isolate the variable, not try to get rid of it. Also, you have to divide both sides by the same number or variable(can't divide one side by a and the other side by 7- it has to be the same).