The length of a rectangular swimming pool is exactly three times as long
as its width. If the pool has a perimeter of 472m find the width of the pool

Answers

Answer 1

Answer:

59m

Step-by-step explanation:

Length= 3 × ( width)

But perimeter= 2width + 2 Lenght= 472

Let length= X

Width= Y

X= 3Y.........eqn(1)

2X + 2Y= 472........eqn(2)

Substitute X= 3Y in eqn(2)

2(3Y) + 2Y = 472

6Y + 2Y= 472

8Y= 472

Y= 59 m

Hence, the width of the pool is 59 m


Related Questions

Help for 20 points please

Answers

I think that the answers to this question is going to be B

Answer:

The Answer is 12 - 15= 129

Step-by-step explanation:

x2−15=129

Step 1: Add 15 to both sides.

x2−15+15=129+15

x2=144

Step 2: Take square root.

x=±√144

x=12

After sitting out of a refrigerator for a while, a turkey at room temperature (69°F) is
placed into an oven. The oven temperature is 300°F. Newton's Law of Heating
explains that the temperature of the turkey will increase proportionally to the
difference between the temperature of the turkey and the temperature of the oven, as
given by the formula below:
T = Ta + (T. – T.)e-kt
Tg = the temperature surrounding the object
To = the initial temperature of the object
t= the time in hours
T = the temperature of the object after t hours
k = decay constant
The turkey reaches the temperature of 127°F after 3 hours. Using this information,
find the value of k, to the nearest thousandth. Use the resulting equation to
determine the Fahrenheit temperature of the turkey, to the nearest degree, after 5
hours.
Enter only the final temperature into the input box.

Answers

Answer:157

Step-by-step explanation:

Hurry The mass of a standard hockey puck
must be at least 156 grams. What is
this weight in kilograms

Answers

Answer:

.156 kg

Step-by-step explanation:

The conversion from grams to kilograms is kg = g/1000

156/1000 = .156

red die and a blue die are rolled. You win or lose money depending on the sum of the values of the two dice. If the sum is 5 or 9, you win $6. If the sum is 6, 7, or 12, you win $2. If the sum is any other value (2, 3, 4, 8, 10, or 11), you lose $4. Let X be a random variable that corresponds to your net winnings in dollars. What is the expected value of X

Answers

Answer:

The expected value of X is $0.2222.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

For each dice, there are 6 possible outcomes(values from 1 to 6). So for 2 dices, there are [tex]6^2 = 36[/tex] possible outcomes.

Desired outcomes:

Sum 5: (1,4), (2,3), (3,2), (4,1).

Sum 6: (1,5),(2,4),(3,3),(4,2),(5,1)

Sum 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1)

Sum of 9: (3,6), (4,5), (5,4), (6,3);

Sum of 12: (6,6)

Probabilities:

4 + 4 = 8 outcomes with a sum of 5 or 9.

8/36 = 2/9 probability of a sum of 5 or 9.

12 outcomes with a sum of 6, 7 or 12.

12/36 = 1/3 probability of the sum being 6, 7 or 12.

36 - 20 = 16 outcomes in which the sum is any other value. So

16/36 = 4/9 probability of a sum of any other value.

What is the expected value of X?

2/9 probability of earning $6.

1/3 = 3/9 probability of earning $2.

4/9 probability of losing $4.

Multiplying each outcome by its probability, we find the expected value. So

[tex]E = \frac{2}{9}*6 + \frac{3}{9}*2 - \frac{4}{9}*4 = \frac{12 + 6 - 16}{9} = \frac{2}{9} = 0.2222[/tex]

The expected value of X is $0.2222.

geometry homework!!
A cylinder is shown below.

Answers

It should be the first one since I got 245.0442 which is the closest to it

Answer: 244. 92 cm

Step-by-step explanation:

The surface area formula for a cylinder is written as SA = 2πrh + 2πr^2

The dimensions of the cylinder has a length of 6 cm diameter and a height of 10 cm. Radius is basically half of the diameter, so 3 cm. We use these numbers to substitute into the formula.

SA = 2π(3)(10) + 2π3^2

SA = 2π(30) + 2π(9)

SA = 60π + 18π

SA = 78π

SA = 245.044 cm

244.92 is close enough to 245.004, so 244.92 is the answer.

Plz show work, NEED HELP FAST PLZ

Answers

Answer:

5. 4        6. 6

Step-by-step explanation:

Number 5

[tex]10-2\sqrt{9}[/tex]

[tex]2\sqrt{9}=6[/tex]

[tex]=10-6[/tex]

Subtract the numbers: 10 - 6 = 4

[tex]=4[/tex]

Number 6

[tex]70-\left(\sqrt[3]{64}\right)^3[/tex]

[tex]\left(\sqrt[3]{64}\right)^3=64[/tex]

[tex]=70-64[/tex]

Subtract the numbers: 70 - 64 = 6

[tex]=6[/tex]

4) You are making a batch of cookies. Each batch uses 3 cups of flour and will give 7 servings. You
are going to multiply your recipe to offer more servings, so you use 11 cups of flour. How many
servings will you actually be able to offer?
a. 22
b. 25
31
d. 38
C.
rolexing and upsetting. For at that time I had already

Answers

Answer:

B is correct

Step-by-step explanation:

In ΔQRS, s = 980 cm, r = 300 cm and ∠R=34°. Find all possible values of ∠S, to the nearest 10th of a degree.

Answers

Answer:

S=sin −1 (1.8266968)=ERROR

No possible triangles

Step-by-step explanation:

Solve for x given the picture
I need an explanation
Will mark brainliest

Answers

Answer:

C. 10

Step-by-step explanation:

all the other answers are negative so the triangle would be impossible to make

Brainiest as promised pls

A burrito was cut into 6 equal pieces. If Carmen ate 2/6of the burrito, and Chris ate 1/6of the burrito,
how many whole pieces of the burrito are left?

Answers

Answer:

3/6 peices are left

Step-by-step explanation:


Which linear equation is written in slope-intercept form?

Answers

Answer:

Where is the question. and answer choices

Answer choice B is written in slope intercept form.

Which of the following choices shows the proper use of the distributive property?
оооо
-2(6x - y) = -12x + 2y
-2(6x - y) = 12x + 2y
-2(6x - y) = 12x - 2y
-2(6x - y) = -12x - 2y
What’s the answer

Answers

Answer:

[tex]-2(6x - y) = -12x +2y[/tex]

Step-by-step explanation:

Required

Which shows distributive property

Distributive property states that:

[tex]a(b + c) = a * b + a * c[/tex]

So, the solution to -2(6x - y) is:

[tex]-2(6x - y)[/tex]

Open bracket

[tex]-2(6x - y) = -2 * 6x -2 *-y[/tex]

[tex]-2(6x - y) = -12x +2y[/tex]

(a) is true

X = {0, 10, 100, 1000}

Y = {100, 1000}

Answers

Answer:

What is The question?

Step-by-step explanation

I will help

Which expression is equivalent to 5c + 3c?

Answers

the correct Number is 8c

The table below shows the amount of rainfall in Maryville during each week of April. What was the total amount of rainfall in the month of April?
Week 1: 2 2/3
Week 2: 1/8
Week 3: 1 3/4
Week 4: 1/2

Answers

Answer:

Step-by-step explanation:

Just add the fractions after finding the common denominator  3 times 8 = 24

Please check my math and typing for accuracy.

Week 1: 2 2/3       =  8/3  x  8/8            =   64/24

Week 2: 1/8          =  1/8   x  3/3            =   3/24

Week 3: 1 3/4       =  7/4  x  6/6            =   42/24

Week 4: 1/2          =   1/2  x  12/12         =   12/24

                                                              =   (64+3+42+12)/24

                                                              =    121/24        24 times 5 = 120

                                                              =    5 1/24

im almost done with this hw. plz help!!! give explanation if you actually know the answer so ik u dont just want points

Answers

Answer:

B

Step-by-step explanation:

A graph shows the survey results for a group of students who
were asked how many honors classes they have taken and
how many elective classes:
Class Choices
Number of Elective Classes
0
lo 1 2 3
4
5 6 7 8
9 10 11
Number of Honors Classes
How many elective classes would students likely have taken if
they have taken 12 honors classes? (4 points)

Answers

Answer is 10 so yeah your welcome

Which figures can have all of the properties shown below

Answers

Answer:

quatrolatiral, square, rectangle

What is 38,807 rounded to the nearest thousand?

Answers

Answer:

that would be 39,00

Step-by-step explanation:

Answer:

39,000

Step-by-step explanation:

807 is closer to 1,000 then 0 so add another 1,000.

Have a great day!

1.Charlie buys two circular pizzas.
The first pizza has a 12- The second pizza has a
inch diameter
14-inch diameter.
How much greater, in square inches, is the area of the second pizza than the first pizza?
Round your answer to the nearest tenth

Answers

Answer:

Step-by-step explanation:

A nurse is investigating the birth weights of​ non-premature babies. She selects a random sample of 41 such​ babies, and found a mean weight of 3506.4 grams and a sample standard deviation of
494.2 grams. Find a 95​% confidence interval for the mean birth weight of all ​non-premature babies. Show your calculation for the confidence interval as well as the final confidence interval rounded to one decimal place. Then write a sentence that gives the interpretation of your confidence​ interval, including the correct units.

Answers

Answer:

The 95​% confidence interval for the mean birth weight of all ​non-premature babies is between 3350.4 grams and 3662.4 grams. This means that we are 95% sure that true mean birth weight of all non-premature babies is in this interval.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 41 - 1 = 40

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 40 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0211

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.0211\frac{494.2}{\sqrt{41}} = 156[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 3506.4 - 156 = 3350.4 grams

The upper end of the interval is the sample mean added to M. So it is 3506.4 + 156 = 3662.4 grams

The 95​% confidence interval for the mean birth weight of all ​non-premature babies is between 3350.4 grams and 3662.4 grams. This means that we are 95% sure that true mean birth weight of all non-premature babies is in this interval.

The ratio below shows the relationship between the weight of apples purchased and the total cost of the apples. 1 lb = $2 / 4 lb = $8 / 6 lb = $12 / 10 lb = $20 When the weight of apples is increased by a factor of 4, by what factor does the total cost increase? *
Mark only one oval.
A. 4
B. 3
C. 6
D. 8

Answers

Answer:

D

Step-by-step explanation:

Answer: Is D
Not exactly sure how to explain thou

CO Use the following coordinate plane to write the ordered pair for each point​

Answers

Answer:

A. (0,4)

B. ( 0,-3)

C (-1,1)

Step-by-step explanation:

I NEED HELP PLZ ( WILL GIVE BRAINLIST) NO LINKS

Answers

Answer:

2 1/2

Step-by-step explanation:

i used the  lwh for this/ (length) (width) (height)

Branliest will be appreciated and thanks!

What is the volume of the square pyramid, in cubic inches?

Answers

The volume is 648 in³.

V = (a)² h/3
V = (9)² 24/3
V = (81) 24/3
V = 1944/3
V = 648 in³

What is number 61 and a step by step explaination please?

Answers

1/3 ln(x) + ln(2) - ln(3) = 3

Recall that [tex]m\log_b(n)=\log_b(n^m)[/tex], so

ln(x ¹ʹ³) + ln(2) - ln(3) = 3

Condense the left side by using sum and difference properties of logarithms:

[tex]\log_b(m)+\log_b(n)=\log_b(mn)[/tex]

[tex]\log_b(m)-\log_b(n)=\log_b\left(\dfrac mn\right)[/tex]

Then

ln(2/3 x ¹ʹ³) = 3

Take the exponential of both sides; that is, write both sides as powers of the constant e. (I'm using exp(x) = e ˣ so I can write it all in one line.)

exp(ln(2/3 x ¹ʹ³)) = exp(3)

Now exp(ln(x)) = x for all x, so this simplifies to

2/3 x ¹ʹ³ = exp(3)

Now solve for x. Multiply both sides by 3/2 :

3/2 × 2/3 x ¹ʹ³ = 3/2 exp(3)

x ¹ʹ³ = 3/2 exp(3)

Raise both sides to the power of 3:

(x ¹ʹ³)³ = (3/2 exp(3))³

x = 3³/2³ exp(3×3)

x = 27/8 exp(9)

which is the same as

x = 27/8 e

What is the equation of the line shown in the graph at the right?

Answers

the answer is c, because the slope is -3/2 if you use rise over run.

Help me!!
I’ll return the favour

Answers

Answer:

Sin A = 15/17 = 0.8823529411....

Cos A = 8/17 = 0.4705882352...

Tan A = 15/8 = 1.875

Step-by-step explanation:

SOH CAH TOA!!!!

What is 1.827 rounded to the nearest tenth

Answers

Answer:

1.8

Step-by-step explanation:

Answer:

1.8

Step-by-step explanation:

decimals go tenth hundredth thousandth ten thousandth hundred thousandth millionth ten millionth and so on

Jamal can run 0.5 miles in 4 minutes. If he keeps the same pace and runs for 14.4 minutes, how many miles will he have run?

Answers

Answer:

1.8

Step-by-step explanation:

First, we calculate the speed. That is 0.5/4. Then we multiply by the min. he ran which is 14.4. The answer gets you to 1.8

By the way, can you follow me on Brainly?

Thanks!

Answer:

14/4=3.5

3.5x0.5=1.75 miles

He will have run 1.75 miles

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