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3 years ago

A hardware store’s revenue R in dollars from selling x lawnmowers is given by the equation R=90x-x^2

Mathematics

1 answer:

nalin [4]3 years ago

7 0

Answer:

2000

Step-by-step explanation:

38.

R = 90x - x²

R = 90(50) - 50²

R = 4500 - 2500

R = 2000

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Mr. Sawyer drove his car from his home to New York at the rate of 45 mph and returned over the same road at the rate of 40 mph.

AveGali [126]

Answer: Time taken by him in going = 8 hours

Time taken by him in returning = 9 hours

Step-by-step explanation:

Let the total distance from home to New York is x miles,

$\text{ Since, Time} = \frac{\text{Distance}}{\text{Speed}}$

Also, he drove his car from his home to New York at the rate of 45 mph,

⇒ $\text{ Time taken by him in going } = \frac{x}{45}\text{ hours}$

And, returned over the same road at the rate of 40 mph.

⇒ $\text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}$

According to the question,

Time taken by him in returning - Time taken by him in going = 30 minutes = 1/2 hours, ( 1 hours = 60 minutes )

⇒ $\frac{x}{40}-\frac{x}{45}=\frac{1}{2}$

⇒ $\frac{9x}{360}-\frac{8x}{360}=\frac{1}{2}$

⇒ $\frac{x}{360} = \farc{1}{2}$

⇒ $2x=720$

⇒ $x=360\text{ miles}$

Hence, the total distance from home to New York = x miles = 360 miles

⇒ $\text{ Time taken by him in going } = \frac{x}{45}\text{ hours}$

$=\frac{360}{45}=8\text{ hours}$

⇒ $\text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}$

$=\frac{360}{40}=9\text{ hours}$

3 0

3 years ago

The land area of a country is about 5.0 million square miles, and the population is about 600 million people. What is the avera

podryga [215]

Answer:

120 people/sq. mile

Step-by-step explanation:

Population Density is the concept of how "crowdy" a place is. The more the population density, the more crowded that place is.

The population density is found by dividing the "number of people" by the "land area" (in sq mile or sq km).

Here, it is given there are 600 million people, so

Number of People = 600,000,000

And, the land area is given as 5 million square miles, so

Land Area = 5,000,000 sq. miles

Hence,

Population Density = 600,000,000/5,000,000 = 120 people/sq. mile

6 0

3 years ago

About when does the softball reach its maximum height?

Masja [62]

Based on the given graph, the time when the softball reaches its maximum height is about 1.8 seconds.

<h3>When is the softball at it highest?</h3>

The softball is at its maximum height at the point where the curve begins to go back down.

This means the maximum height is 50 feet.

The time when this softball reaches this height is between 1 and 2 seconds at 0.8.

The time the softball reaches its maximum height is therefore 1.8 seconds.

Find out more on maximum height at brainly.com/question/23144757

#SPJ1

7 0

1 year ago

From 99° to 70°f what is the percent decrease

SSSSS [86.1K]

Answer:

should be -29.29 %

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

A fisherman positions his net to -8 relative to the surface of the water. how far does he need to raise the net to bring it to t

8_murik_8 [283]

Answer: If i am correct the answer should be 9-10 because if it is -8 it takes 8 to bring it to 0 and it takes 9 to bring it to 1 and it takes 10 to bring it to 2.

Hope this helps!

6 0

3 years ago