The length of a rectangular deck is 5 times its width. If the deck’s perimeter is 24 feet, what is the deck’s area?

Answers

Answer 1

Answer:

20ft²

Step-by-step explanation:

Let the length = L

Let the width = W

Perimeter of a rectangle = 2L + 2W

Translating the word problem into an algebraic equation, we have;

L = 5W .......equation 1

2L + 2W = 24 ........equation 2

To find the width

Substituting equation 1 into equation 2, we have;

2(5W) + 2W = 24

10W + 2W = 24

12W = 24

W = 24/12

Width, W = 2 ft

To find the length;

Substituting the value of "W" into equation 1, we have;

L = 5W

L = 5*2

L = 10 ft

To find the area of the rectangle;

Area = LW

Area = 10*2

Area = 20 ft²

Therefore, the deck's area is 20 feet square.


Related Questions

Study circle C, where diameter TV bisects chord EF.
The diagram as described in the text.


If m∠EKT=(5x + 65)∘, what is the value of x?
Enter the correct value.

Answers

The answer to the question and value is 5

Need help on question 1,2 please please help please please help me please will mark the brainiest it’s due today please please help

Answers

For the top on you just multiple

Answers:

1. 750

2. 750 + 5*20 = 850

the linear equation y=1/2x+1 is represented by the graphed line. A second linear equation is represented by the data in the table. X(-2,0,2,4) Y(7,6,5,4) .In which square is the solution located​

Answers

Answer:

Correct Answer is D

Step-by-step explanation:

Answer:

Yeah it's "D"

Step-by-step explanation:

Have a Jocular Day

If x=8, what is the value of x(19-x)?

Answers

Answer:

88

Step-by-step explanation:

we have value of x=8

x(19-x)

8(19-8)

8×11

88 ans

hey guys what is this type of equation/ question called 1 < x < 30

Answers

Answer:

2,3,4,5,6,7,8,9,10,...29

Step-by-step explanation:

The life expectancy (M) in the United States is 85 with a standard deviation of 6 years. A random sample of 36 individuals is selected. What is the probability that the sample mean will be between 82.5 and 86 years?

Answers

Answer:

The probability that the sample mean will be between 82.5 and 86 years is 0.8351.

Step-by-step explanation:

According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.  

Then, the mean of the sample means is given by,

[tex]\mu_{\bar x}=\mu\\[/tex]

And the standard deviation of the sample means is given by,

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]

The information provided is:

[tex]\mu=85\\\sigma=6\\n=36[/tex]

As the sample size is large enough the Central Limit Theorem can be used to approximate the sampling distribution of sample mean life expectancy (M) in the United States.

Compute the probability that the sample mean will be between 82.5 and 86 years as follows:

[tex]P(82.5<\bar X<86)=P(\frac{82.5-85}{6/\sqrt{36}}<\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}<\frac{86-85}{6/\sqrt{36}})\\\\=P(-2.5<Z<1)\\\\=P(Z<1)-P(Z<-2.5)\\\\=0.84134-0.00621\\\\=0.83513\\\\\approx 0.8351[/tex]

Thus, the probability that the sample mean will be between 82.5 and 86 years is 0.8351.

The probability that the sample mean will be between 82.5 and 86 years is 0.8351.

Standard deviation σ = 6

Sample size n =36

What is the central limit theorem?

The central limit theorem (CLT) states that the distribution of sample means approximates a normal distribution as the sample size gets larger, regardless of the population's distribution.

Since the sample size is significant i.e. large, so the given scenario can be treated as normally distributed as per the central limit theorem.

So, the standard deviation of sample means =  σ/√n

The probability that the sample mean will be between 82.5 and 86 years:

[tex]P(82.5 < X < 86) = P(\frac{82.5-85}{\frac{6}{\sqrt{36} } } < Z < \frac{86-85}{\frac{6}{\sqrt{36} } } )[/tex]

[tex]P(-2.5 < Z < 1)=P(Z < 1)-P(Z < 2.5)[/tex]

[tex]P(-2.5 < Z < 1) =0.8413-0.0062=0.8351[/tex]

Therefore, the probability that the sample mean will be between 82.5 and 86 years is 0.8351.

To get more about the central limit theorem visit:

https://brainly.com/question/18403552

The Shredder, Inc. produces two types of paper shredders, home and office. The office model requires 6 hours to assembly and 2 finishing work units for finishing work, the home model requires 4 hours to assemble and 12 finishing work units for finishing. The maximum number of assembly hours available is 96 per day, and the maximum number of finishing hours available is 96 per day.

Let
x = the number of office model shredders produced per day and
y = the number of home model shredders produced per day.

Write the system of inequalities that represents the maximum number of shredders that can be produced in one day.

NOTE: 4 inequalities are expected.

Answers

Answer:

4y + 6x ≤ 96

12y + 2x ≤ 96

Step-by-step explanation:

Paper shredders produced :

Home :

Assembling time = 4 hours

Finishing work unit = 12

Office :

Assembling time = 6 hours

Finishing work unit = 2

Maximum number of assembly hours = 96 / day

Maximum number of finishing hours = 96/ day

Let

x = the number of office model shredders produced per day and

y = the number of home model shredders produced per day

(office Assembly hours x Number of office model) + (Assembly hours * number home models)

OFFICE MODEL:

Assembly operation :

Home + office ≤ 96

4y + 6x ≤ 96

Finishing operation :

Home + office ≤ 96

12y + 2x ≤ 96


c) Parbati buys a mobile for Rs 6,300 and sells it to Laxmi at 15% profit. How much
does Laxmi pay for it? ​

Answers

Answer:

Rs. 7245

Step-by-step explanation:

Given parameters:

Cost price  = Rs. 6300

Percentage profit  = 15%

Unknown:

Selling price = ?

Solution:

If profit is made on a trade, the selling price is higher than the cost price.

 Profit  = Selling price  - Cost price

To find the selling price simply;

  Selling price  =( 1 + [tex]\frac{15}{100}[/tex])  x cost price

  Selling price  = 1.15 x 6300  = Rs. 7245

please help - it neeeeddd this - im going to fail - i will give you a lot of points

Answers

The answer is one of the last two. I am pretty sure that it is corresponding but I could be wrong.

Answer:

389202838

Step-by-step explanation:

Leila bought 3 bananas, which weighed a total of 3/4 of a pound . if each banana weighed the same amount , what is the weight of each banana ?​

Answers

Answer:

1/4

Step-by-step explanation:

3/4 (total weight)

3 bananas

(3/4)/3=1/4

PLS GIVE BRAINLIEST

What is the sum of -16/8 and 2

Answers

Answer:

0

Step-by-step explanation:

Answer:

the answer is 0

Step-by-step explanation:

hope this helped,brainliest?

What percentage of the eggs hatched?

Answers

Answer:

Is there supposed to be a picture or what??

Step-by-step explanation:

Suppose a trapezoid with the vertices (3,-7) , ( 0,5 ) ,(2,5) , and (5,-7 ) was reflected across the x-axis. Which of these would be a vertex of the reflected figure

A. ( -7,5)
B (-3 ,7)
C (2,5)
D(3,-7)

Answers

It’s (-3,7)

Step by step explanation

I am not the best at explaining but he opposite of(3,-7) is (-3,7) the way I did it is way better than the explanation but it’s (-3,7)

Nebi has already typed 250 words. He then starts a timer and finds that he types 150 words in 3 minutes. If nebi types at a constant rate, write a linear equation to represent the number of words w that nebi types m minutes after starting the timer

Answers

Answer:

[tex]w=250+50m[/tex]

Step-by-step explanation:

Number words Nebi has typed = 250

t = Duration of typing = 3 minutes

Number of words typed in 3 minutes = 150

Rate of typing in 3 minutes

[tex]\dfrac{150}{3}=50\ \text{words/minute}[/tex]

So the linear equation representing the situation would be

[tex]w=250+50m[/tex]

Where

w = Number of words

m = Number of minutes after starting the timer

The linear equation to represent the number of words w that nebi types m minutes after starting the timer is w = 250 + 50m

Given:

Words already typed = 250 words.

Words typed in 3 minutes = 150 words

Words typed per minute = 150 words / 3 minutes

= 50 words per minute

w = Total words typed

m = number of minutes

The equation:

Total words typed = Words already typed + (Words typed per minute × number of minutes )

w = 250 + (50 × m)

w = 250 + 50m

Therefore, linear equation to represent the number of words w that nebi types m minutes after starting the timer is w = 250 + 50m

Read more:

https://brainly.com/question/16450098

Solve for x: 3 − (2x − 5) −8
c. x −3

Answers

Answer:

-8cx−2x+5

Step-by-step explanation:

solve and evaluate expression

Answer:

hshd

Step-by-step explanation:

hhshahj

Find Y (pic attached) (i’ll mark brainliest)

Answers

Answer:

4y - 4 = 60

4y = 64

Y = 16

Answer is B

I get 60 as it is a equilateral triangle.

Thank you and please rate me as brainliest as it will help me to level up

A car salesperson earns a 5.8% commission on every car sold. How much commission will the salesperson earn on the sale of a $28,400 car? * PLZZ help!!

Answers

He would earn $1,647.20 in commissions. To calculate this: cost of car * commission rate = his commission. 28,400 * .058 = $1,647.20

how would i slove for x??

Answers

Answer:

x=12

Step-by-step explanation:

First you need to find the 3rd angle.

180-118=x

x=62

Once you have that 3rd angle, set all the inside angles equal to 180

4x-6+5x+16+62=180 ---> set to 180

9x+72=180 -->combine like terms

9x=108 --> subtract 72 from both sides

x=12 -->divide both sides by 9

Mackenzie sells shoes. She makes a 20% commission on all of her sales.
Write 20% as a fraction in simplest form.


Write 20% as a decimal.

Answers

Answer:

20% as a fraction is 20/100

20% as a decimal is 0.20

Step-by-step explanation:

Answer:

1/5 and 0.20

Step-by-step explanation:

20/100 = 10/50 = 2/10 = 1/5

20% is out of a 100, so move the decimal place of the 20 two times because 100 has 2 zeros.

0.20

There are 8 classroom in a particolar
School. The number of student in each classroom
range from 25 to 30, what is the total number
of student in the School?

Answers

Answer:

25 times 8 kid its easy then do the answer is greater than or equal to x

Step-by-step explanation:

A book company publishes 749 copies of
a novel and distributes them to 7 bookstores.
If each bookstore were to receive the same
number of copies, how many copies would
be sent to each store?

Answers

Answer:

107 copies to each books store

749copies/7bookstores
= 107

107 copies would be received from each bookstore

Write the conclusion:
If Charlie goes to the store, then Harry loves school

A. Charlie doesn't go to the store
B. Harry does not love school
C. Charlie goes to the store
D. Harry loves school

a. then Harry loves school
b. Harry loves school
c. Charlie goes to the store,
d. Then Charlie goes to the store,


Question 5
Write the converse:
If the team does not play on Tuesday then the project is not due Friday.

a. If the project is not due Friday then the team does not play on Tuesday
b. If the team plays on Tuesday then the project is due FridayThis answer is incorrect.
c. If the project is due Friday then the team plays on Tuesday
d. The team plays on Tuesday if and only if the project is due Friday.


Question 7
Write the converse:
If Don goes to the store then George doesn't go to the store.

A. If George doesn't go to the store then Don goes to the store
B. Don doesn't go to the store if and only if George goes to the store.
C. If George goes to the store then Don doesn't go to the store
D. If Don doesn't go to the store then George goes to the store

a. If George doesn't go to the store then Don goes to the store
b. Don doesn't go to the store if and only if George goes to the store.
c. If George goes to the store then Don doesn't go to the store
d. If Don doesn't go to the store then George goes to the store


Question 9
Write a counterexample:
If the product of two numbers is 80, then one number must be 10.

a. x = 10 and y = 8
b. x = 1 and y = 8
c. x = 10 and y = 80
d. x = 1 and y = 80

Answers

Answer:

A

Step-by-step explanation:

beacause Harry loves school so he go to school

Pretty please help me!!!!!
What is the absolute value of the number indicated on the number line?

A. -1 3/7
B. 1 1/3
C. -1 1/3
D. 1 3/7

Answers

Answer:

1 and 1/3

Step-by-step explanation:

The absolute value means that you have a positive sign no matter what the value is. It is the distance in units from 0 on the number line to the point in question.

The number line is laid out in 1/6. Each tick is 1/6. Since the point is at 1 and 2/6, we have to reduce the fraction.  In 2/6 you can divide the bottom and top by 2 to reduce the fraction.

2 divided by 2 = 1

6 divided by 2 = 3

Therefore the 2/6 reduces to 1/3

You already know you had a 1, so you add 1/3 and it is 1 1/3.

A preschool class has 9 girls and 11 boys in
the class. What percent of the class are
girls?

Answers

Answer:

45%

Step-by-step explanation:

Add 9 and 11 to see how many students there are in all. The answer to this is 20.Divide 9 by 20. You get .45, which is equal to 45%.

What is the perimeter of the figure?

A. 20.0 cm
B. 23.0 cm2
C. 25.0 cm2
D. 11.0 cm

Answers

Answer:

Answer is D, all you do is add the numbers

The perimeter of the figure is 20 cm.

The perimeter of the figure is the sum of the whole sides. When the whole sides of the figure is added the perimeter is known. Therefore,

perimeter = 5 cm + 3 cm + 1 cm + 2cm + 4cm + 5 cm

perimeter = 8 cm + 3cm  + 9cm

perimeter = 20 cm

The perimeter of the figure = 20 cm

read more: https://brainly.com/question/20306407?referrer=searchResults

Find the equation of the line use exact numbers. ​

Answers

Answer:

y = 2/3x+4

Step-by-step explanation:

The answer is y = 2/3x + 4

Can you please mark me as Brainliest


Which term best describes objects that have length, width, and height?
A. Two-dimensional
B. One-dimensional
C. Three-dimensional
D. Zero-dimensional

Answers

Answer:

C

Step-by-step explanation:

hope this helps

Answer: c

Step-by-step explanation:

Gabriela drank three fourths of her glass of milk and jenny drank six eighths of her glass of milk if the glasses were the same size did they drink the same amount ? Use cross multiplication to prove your answer

Answers

Answer:

just croos multi

Step-by-step explanation:

its very easy

3/4•6/8= 9/16. Explanation: first you multiply 3/4•6/8. You would need to cross off 6 and 4. The six should be a three and the four should be a two. The answer should be 9/16. I hope that this helps!

Hell and thanks please

Answers

Answer:

A

Step-by-step explanation:

simplify 6³÷2³×9^-2​

Answers

answer is

0.33333333333
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