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.
Add 37 + 9 = 46
If thats not your answer theres more.
46 divided by 5 = 9.2
Answer is below.
<em>(Note to asker: Lack of explanations can get my answer deleted)</em>
<em />
<u><em>Step 1</em></u>
We'll to isolate the variable, but to do that, get rid of the coefficient that multiplies it.
To do that, divide both sides by 22.

<em><u>Step 2.</u></em>
Now we have divided both sides by 22, but we'll need to reduce the fraction
.
We can reduce the fraction by dividing the factors that are in the numerator and denominator.
That being said, 22 appears both in the numerator and denominator.

<u><em>Step 3</em></u>
Now, for
, we'll need to reduce it to the lowest terms. Like in the 2nd step, we'll divide factors that are in the numerator and denominator.
That being said, 2 appears both in the numerator and denominator.
Hence, M = 5/11
Answer:
(b) 17 1/3
Step-by-step explanation:
mixed number
A number is written as a whole number and a fraction