SOLUTION:
Step 1:
In this question, we are given the following:
Step 2:
The details of the solution are as follows:
Step-by-step explanation:
Given :
At the state fair, admission at the gate is $9.
In addition, the cost of each ride is $3.
Suppose that Sam will go on x rides.
Then, cost of x rides ( in dollars) = Cost per ride x Number of rides
=3x
Total cost ( in dollars) : Admission fee + cost of x rides
= 9+3x
Sam wants the total number of dollars he spends on admission and rides to be at most t ( less than or equal to t )

CONCLUSION:
The final answer is:
Using the values and variables given, write an inequality describing this.

Answer:
Step-by-step explanation:
-4 is really -1 * 4
-4² = -1 * 4²
-4² = -1 * 16
-4² = -16
Use parenthesis to square
(-1 * 4)² = (-4)²
(-4)² = 16
Answer:

Step-by-step explanation:
GIVEN: A farmer has
of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is
.
TO FIND: Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions.
SOLUTION:
Let the length of rectangle be
and
perimeter of rectangular pen 


area of rectangular pen 

putting value of 


to maximize 



but the dimensions must be lesser or equal to than that of barn.
therefore maximum length rectangular pen 
width of rectangular pen 
Maximum area of rectangular pen 
Hence maximum area of rectangular pen is
and dimensions are 
Yes you did it correctly but change problem 5’s denominator on the right to a 6
The time take for the cyclist to travel from Fort Worth to Fresno is 
Explanation:
It is given that the distance from Fort Worth to Fresno is 1,530 miles.
The average speed of the cyclist is 17 miles per hour.
The time travelled by the cyclist can be determined using the formula,

Substituting the value of distance and speed, we get,

Dividing both sides by 17, we get,

Thus, the time take for the cyclist to travel from Fort Worth to Fresno is 