Wayne is hanging a string of lights 45 feet long around the 3 sides of his rectangular patio, which is adjacent to his house. The length of his patio, the side along the house, is 5 feet longer than 2 times its width. Find the length and width of the patio.

Answers

Answer 1

Answer:

45=2w+L and L=2w+5          

45=2w+L                                  45=2w+(2w+5)

                                                45=4w+5

                                                40=4w

                                                10=w                  

L=2w+5                                    L=2(10)+5

                                                L=20+5

                                                L=25                        

The length of the patio is 25 feet and the width of one side of the patio is 10 feet. Because there are two width sides and one length side, this all adds up to be 45 feet long.

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Related Questions

Translate the given phrase into an algebraic expression and simplify if possible: the product of −4 and 16

Answers

Answer: -4 x 16, -48

Step-by-step explanation:

word phrase: -4 x 16

symplified = -48

product means multiply

What is the length of LA?

Answers

The length of LA in the triangle will be 8.

How to calculate the triangle?

From the information given, it was stated that both the triangles are similar.

In this situation, the length of LA will be:

= (12 × 4)/6

= 48/6

= 8

Therefore, the length of LA in the triangle will be 8.

Learn more about triangles on:

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What is the difference between –12 and –5?

Answers

Answer:

-7

Step-by-step explanation:

(-12)-(-5)

negative and negative make a positive

-12+5

= -7

Answer:

-7

Step-by-step explanation:

.What is 20/24(twenty-twenty fourths) to its most simplified form?

Answers

5/6 as in five sixths hope this helps!

A human gene carries a certain disease from the mother to the child with a probability rate of 39%. That is, there is a 39% chance that the child becomes infected with the disease. Suppose a female carrier of the gene has four children. Assume that the infections of the four children are independent of one another. Find the probability that all four of the children get the disease from their mother. Round to the nearest thousandth.

Answers

Answer:

[tex]Probability = 0.023[/tex]

Step-by-step explanation:

Given

Represent the given probability with P(Gene)

[tex]P(Gene) = 39\%[/tex]

[tex]Children = 4[/tex]

Since all 4 children get the disease, the required probability is calculated as thus:

[tex]Probability = P(Gene)^4[/tex]

[tex]Probability = 39\%^4[/tex]

Convert % to decimal

[tex]Probability = 0.39^4[/tex]

[tex]Probability = 0.02313441[/tex]

[tex]Probability = 0.023[/tex] Approximated

0.079times what equals 7.9

Answers

Answer:

100

Step-by-step explanation:

Can you guys help me find the supplements for question 6

Answers

Answer:

d

Step-by-step explanation:

i looked it up

A machine is used to fill 1-liter bottles of a type of soft drink. We can assume that the output of the machine approximately follows a normal distribution with a mean of 1.0 liter and a standard deviation of .01 liter. The firm uses means of samples of 25 observations to monitor the output, answer the following questions: Determine the upper limit of the control chart such that it will include roughly 97 percent of the sample means when the process is in control

Answers

Answer:

1.00434

Step-by-step explanation:

Given the following :

Given a normal distribution ;

Mean (m) = 1.0 liter

Standard deviation (σ) = 0.01 liter

Sample size (n) = 25

For 97% sample means (sm) = 0.97

Z = (m - sm) / s

Zcrit = 1 - (100% - 97%)/2

Zcrit = 1 - (0.03/2)

Zcrit = 1 - 0.015 = 0.985

The z score which corresponds to 0.985 = 2.17

Upper limit : m + z*(σ/√n)

Upper limit : 1.0 + 2.17*(0.01/√25)

Upper limit : 1. 0 + 2.17*(0.01/5)

= 1.0 + 2.17*0.002

= 1.0 + 0.00434

= 1.00434

Can someone please help me with this, I will mark you as brainliest

Answers

Answer:

1st answer is 1/2x^5

2nd answer is m^3/16p^2q^2

3rd answer is 2r^4+9r^3

A robot can complete 7 tasks in 2/3 hour. Each task takes the same amount of time. How long does it take the robot to complete one task? How many tasks can the robot complete in one hour?

Answers

Answer:

a. is 2/21 hours to complete one task

b. is 10 1/2 tasks in one hour

Robot takes 2/21 hour to complete the task.

In one hour, robot complete 21/2 task.

What is ratio?

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Time taken to complete 7 tasks = 2/3 hours.

To find the time taken to complete one task and tasks that completed in one hour,

Use ratio method,

7 tasks take = 2/3 hours

1 task takes = 2/(3 x 7) = 2 / 21 hours.

In 2/3 hours = 7 tasks completed,

1 hour = 21/2 tasks.

In one hour, 21/2 tasks can be completed.

To know more about Ratio on:

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Jayda bought a magazine that costs 6 and seven bags of marshmallows jayda spends a total of 34. How much did each bag of marshmallows costs ?

Answers

Answer:

4

Step-by-step explanation:

First, you need to take the cost of the magazine off the total which Jayda spent

34-6=28

Next, you know that you have seven bags of marshmallows, and the total cost of seven bags is 28. So, you need to divide 28 by the number of bags.

28÷7=4

Each bag of marshmallows costs 4

3/4of 16/27/23/14+12/18 using bodmas rule

Answers

Your answer :------

3/4 of 16/27+23/14+12/18
=4/9+23/14+12/18
= (56+207+84)/126
= 347/126 = 2.75 approx ans.

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Thanks

Hi i need help on letters:

L,A,E,R,T,C,I,S,F,G,H,D,N,and O

Im giving 14 points if u answer all of them!!;)

Answers

Answer:

Step-by-step explanation:

E = 10:15 C = 4:5 F = 1:10 D = 1:2 R = 1:3 I = 30: 80 G = 16:48  N = 20: 40

A = 2:1 T = 6:10 S= 9:12 H = 9 O = 1: 11

(wouldve explained them but im in class :)

what is the slope of the line that passes through (37, -9) and (36, 81)

Answers

Answer:

m= -90 is your answer

Step-by-step explanation:

For future reference, you should try using Symbolab, it works really well and I use it ALL the time!

the other one is 27​

Answers

Answer:

the scale factor is 9 and x = 58.5

Step-by-step explanation:

to get the scale factor just do DE/AB so 27/3

GIVING 30 POINTS

need it RN


Which equation represents a line which is perpendicular to the line
5x + 4y = -24?

Answers

5x +4y=24 I believe would be the answer
M^perpendicular = -4/5

(-82)+(-47)-(+33)do u all know this answer

Answers

Answer:

-157

Step-by-step explanation:

Answer:  -162

Hope this helps you

Step-by-step explanation:

subtract and add

PLEASE PLEASE HELP ME I WILL GIVE BRAINLIEST

options box one:
graph a
Graph B

Options for box two:
1. appears to decrease more
2. Is less
3. Decreases less
4. Appears to decrease less
5. Decreases more

Answers

Answer:

1) graph b

2)appears to decrease more

Step-by-step explanation:

a positive real number is 2 more than another. if the sum of the squares of the two numbers is 14, find the numbers​

Answers

9514 1404 393

Answer:

√6 -1 ≈ 1.44949√6 +1 ≈ 3.44949

Step-by-step explanation:

Let x represent the smaller number. Then the sum of squares is ...

  x² +(x+2)² = 14

  2x² +4x +4 = 14 . . . eliminate parentheses

  2x² +4x -10 = 0 . . . put in standard form

  x² +2x -5 = 0 . . . . . divide by 2 (because we can)

  (x +1)² -6 = 0 . . . . . complete the square

  x +1 = √6  . . .   we want the positive root

  x = -1 +√6

  x+2 = 1 +√6

The numbers are √6±1.

8(3x-2)-8x=9(2x-6) find x

Answers

if i’m solving it correctly x = 4

Answer:

x=19

Step-by-step explanation:

8(3x-2)-8x=9(2x-6) Distribute.

24x-16-8x=18x-54   Combine like terms.

16x-16=18x-54         Subtract 16x from both sides (getting rid of a variable first  

-16x     -16x               is easier).

-16=2x-54                 Add 54 to both sides.

+54    +54

38=2x                       Divide both sides by 2.

/2   /2

19=x

Hope this helps!! Have a great day ^^

Are the statements true or false?
Select True or False for each statement.

Statement True False

1/ 4 · 3/ 4 = 3 /4 · 1/ 4

3/4÷2/5=2/5÷3/4

Answers

false false false false false

Answer:

no the first on is true and the last one is false

Step-by-step explanation:

K^2+k=0 what does k=

Answers

Answer:

k = K^2

Step-by-step explanation:

Subtract  K^2 from both sides of the equation.

What is the length of a segment with endpoints at F(6, 4) and G(14, 19)? Round to the nearest whole number.

Answers

Answer:

17

Step-by-step explanation:

d = √( (x₂ - x₁)² + (y₂ - y₁)² )

   = √( (14 - 6)² + (19 - 4)² )

   = √( 8² + 15² )

   = √( 64 + 225 )

   =  [tex]\sqrt{289}[/tex]

   = 17

The triangular arrangement of numbers shown is known as Pascal's triangle. Use inductive reasoning to find the 6 missing numbers.

Answers

Answer:

1 5 10 10 5 1

Step-by-step explanation:

The complete question has been attached as an image.

Looking at the triangle, we see a pattern. The first level we have 1, in the next level we have 1 1, the next evel we have 1 2 1, the next level we have 1 3 3 1 and so on. From here, we see that to get the numbers of the next level, we have to write 1 as the first number, then add 1 to the next number after it in the previous level to get the second number in the next level then add the second number of the previous level to the next number beside it to get the third number in the next level and so on until you get to the last number before 1 in the previous level, add that number to 1 to get the second to the last number in the next level and finally put 1 as the last number in the next level. Now, we have

1 4 6 4 1

1 5 10 10 5 1

And that is the required set of numbers.

Helpppppp ASAP!!!!!!!

Answers

Answer: No solution.

Answer:

x=2

Step-by-step explanation:

Nancy has 192 golf balls.
How many dozen golf balls does she have?

Answers

Answer:

16

Step-by-step explanation:

192/12=16

hope this helps :3

if it did pls mark brainliest

Answer:16

192/12 equals 16

Please help with this problem thank you.
-8 + n = 62 What is n?

Answers

Answer:

n = 70

Step-by-step explanation:

-8 + n = 62

      n = 70

Unit 4: Lesson 9: Parallel and Perpendicular Lines Unit Test Parallel and Perpendicular Lines does anyone have the answers for this 13 question test ??

Answers

What test is this question from?

Answer:

I need these answers and the ones he put in in the comments are all wrong

Lisa,Amy and Pete decided to race up the stairs that has 24 steps.Lisa takes 2 steps Every Second,Amy takes 3 steps every second. If pete starts at the bottom,what should lisa and amy start on so that all three finish in a tie? please help with strategy.

Answers

Answer:

How many steps does pete take every second? one?if so, lisa and amy wouldn't start on steps, they would start further back

in an experiment, the control variable is d and the response variable is e. which variable is not manipulated, but measured, and represents the data being recorded?

Answers

The control variable is used as a “normal” the response variable is the one being measured and/or recorded
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