Ezra counts the number of passengers who are already on the bus when he gets on each morning. His data for the last 15 days are

Answer:

The area of the new pumpkin patch can be represented as    =  15 x² + 380 x + 2400

Step-by-step explanation:

Given as:

The length of the original patch is L = 40 meters

The width of the original patch is W = 60 meters

Thus, the area of the rectangular patch is calculated as Length × Width

Or, =  L × W

So,    =  40 meters × 60 meters

Or,   =  2400 meters²

Moreover, the width of the new patch becomes (40 + 3 x) meters

And the length of the new patch becomes (60 + 5 x) meters

Or,  =  L × W

Thus,  =  (40 + 3 x) meters × (60 + 5 x) meters

Or,    = 2400 + 200 x + 180 x + 15 x²

Or,    =  15 x² + 380 x + 2400

Therefore, the area of the new pumpkin patch is given by    =  15 x² + 380 x + 2400  Answer

Response:

Step-by-step breakdown:

Kevin has already gathered five and a half gallons of water for his trip

He understands that he requires a minimum of 20 gallons of water for the journey.

The water is packaged in 32-fluid ounce (quarter-gallon) containers.

1 fluid ounce equals 0.0078125 gallons

32-fluid ounce

Let x represent the number of 32-fluid ounce (quarter-gallon) containers needed to collect at least 20 gallons of water for the trip.

One container holds 0.25 gallons of water

Therefore, x containers hold 0.25x gallons of water

Thus, Kevin's total gallons of water =

Since it is given that he needs at least 20 gallons of water for the trip.

Hence,

Thus, the algebraic inequality representing this scenario is

Answer:

The upper limit for the height of the prism is

Step-by-step explanation:

Let

x------> represent the height of the prism

It is known that

the area of the base of the prism must not exceed

thus

-------> inequality A

------> equation B

-----> equation C

Insert equation B into equation C

------> equation D

Substituting equations B and D into inequality A

-------> using a graphing tool to solve the inequality

The resultant solution for x lies in the interval---------->

consult the attached figure

but bear in mind that

The width of the base must be meters shorter than the height of the prism

thus

the solution for x is confined to the interval ------>

The maximum height of the prism equals

Answer:

Step-by-step explanation:

The formula for calculating simple interest is

Here,

A refers to the Total Amount of Investment

P denotes the Initial Investment

r indicates the interest rate 

t represents the duration in time periods

step 1

Determine the duration t

For this scenario, we have

Plugging into the formula above and solving for t

step 2

What will Rs 600 grow to at 11% over the same duration?

We have

Insert into the formula