A rectangular parking lot has a perimeter of 820 ft. The area of the parking lot measures 42,000 ft2. What is the width of the parking lot?

Answers

Answer 1
Answer:

A rectangle, let length=a and width=b

perimeter: a+a+b+b=820

2a+2b=820  --> a+b = 410

Make a or b the subject: a=410-b

Area: ab=42 000 (area of a rectangle, length x width)

Sub a in.

b(410-b) = 42000

Expand: 410b - b^2 = 42000

Rearrange and use quadratic formula: b^2 -410b + 42000=0

b= 210 (can only be positive because length cannot be negative)

Sub this value back into perimeter or area equation: a + 210 = 410 --> a =200

Therefore, a= 200 and b=210.

Depending what you made the width is, it should be 200ft.


(I may have made some calculation errors as i'm not used to typing it out, but the process should be correct) I hope helps! :)



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Keith is saving money for a car. He has saved the same amount each year for the past three years, and records how much he has at the end of each year in the table below. Year 1: 1500 year 2: 3000 year 3: 4500


What is Keith's unit rate of change of dollars with respect to time; that is, how much does Keith save in one year?

Answers

Answer:

Keith's unit rate of change of dollars with respect to time is $1500.

Step-by-step explanation:

It is given that Keith is saving money for a car.

Year 1: 1500

year 2: 3000

year 3: 4500

Let y be the saved amount after x year.

The coordinate pairs according to the given table are (1,1500), (2,3000) and (3,4500).

The formula for rate of change is

m=(y_2-y_1)/(x_2-x_1)

Consider any two coordinate pairs.

Let as consider (1,1500) and (2,3000). So, Keith's unit rate of change of dollars with respect to time is

m=(3000-1500)/(2-1)

m=(1500)/(1)

m=1500

Therefore, Keith's unit rate of change of dollars with respect to time is $1500.

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Every integer is a______number
OA. natural
OB.
rational
OC. negative
OD. whole

Answers

Answer:

the answer is b. rational

Finding the median 7, 25, 3, 6,7

Answers

To find the median first put the numbers in order from least to greatest.

3, 6, 7, 7, 25

Now cut one number from both sides

6, 7, 7

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Which is the solution to the inequality? 2 3/5< b-8/15

Answers

The solution to the given inequality is b > 47/15

How to find the solution of the inequality expression

Given the compound inequality expressed as;

2 3/5< b-8/15

Add 8/15 to both sides of the equation

2 3/5 + 8/15 < b-8/15 + 8/15

Yhe fraction at the right side cancels out to have;

2 3/5 + 8/15 < b

Swap the sides

b > 13/5 + 8/15

Find the LCM

b > 39+8/15

b > 47/15

Hence the solution to the given inequality is b > 47/15

Learn more on compound inequality here:brainly.com/question/24372553

Answer:

D.  b > 3 2/15

Step-by-step explanation:

I took the test