Q1. Look at the picture.

Q2. Look at the picture.

Q3.
Put the value of x = 2 to the equation 3x + y = 5:

<em>subtract 6 from both sides</em>

Q4.

Substitute (*) to (**):
<em>use distributive property</em>

<em>add 33 to both sides</em>
<em>divide both sides by 11</em>

Put the value of m to (*):


Q5.
w - width
3w - length
24 in - the sum of length and width
The equation:

<em>divide both sides by 4</em>



Answer:
$883.14
Step-by-step explanation:
Have a great day! ;)
Answer:
150 feet by 300 feet.
Step-by-step explanation:
The fence is to enclose a rectangular area of 45,000 ft squared.
If the dimensions of the rectangle are x and y
Area of a rectangle = xy
- xy=45000

Perimeter of the Rectangle =2x+2y
Fencing material costs $ 3 per foot for the two sides facing north and south and $6 per foot for the other two sides.
- Cost of Fencing, C=$(6*2x+3*2y)=$(12x+6y)
Substitute
into the Cost to get C(y)
C=12x+6y

The value at which the cost is least expensive is at the minimum point of C(y), when the derivative is zero.


Recall,

Since x=150, y=300
The dimensions that will be least expensive to build is 150 feet by 300 feet.
Answer:

Step-by-step explanation:
We want to simplify:

This is the same as:

Now let us convert the mixed numbers to improper fractions.

We multiply by the reciprocal of the second fraction to get:

Cancel out the common factors to obtain:
