The solution to given expression
is
or 3.8571
<em><u>Solution:</u></em>
Given expression is:

<em><u>First let us convert the mixed fraction to improper fraction</u></em>
Multiply the whole number by the denominator.
Add the answer from Step 1 to the numerator.
Write answer from Step 2 over the denominator.
Thus we get,

Now the given expression becomes,

Convert the problem to multiplication by changing the division sign to multiplication and inverting the fraction to the right of the sign

Multiply the numerators, multiply the denominators, and leave the product in factored form

In decimal form we get,

Thus the solution to given expression is
or 3.8571
The answer will be 15/14, or 1 1/14 for the simplest form.
Alternate exterior angles because the are OUTSIDE of the parallel lines
Answer:

Step-by-step explanation:
Let
Side of square base=x
Height of rectangular box=y
Area of square base=Area of top=
Area of one side face=
Cost of bottom=$9 per square ft
Cost of top=$5 square ft
Cost of sides=$4 per square ft
Total cost=$204
Volume of rectangular box=
Total cost=



Substitute the values of y

Differentiate w.r.t x







It takes positive because side length cannot be negative.
Again differentiate w.r. t x

Substitute the value

Hence, the volume of box is maximum at x=2.2 ft
Substitute the value of x

Greatest volume of box=
Answer:
The answer is 10
Step-by-step explanation: You multiply the 2 times twenty to get 40 then multiply the 2 times 2x to get 4x then subtract fourty from both sides and you will get fourty and then divide so 40 divided by 4x equals 10.