A woman wishes to enclose a rectangular garden with​ fencing, using the side of her garage as one side of the rectangle. A neighbor gave her 2727 feet of​ fencing, and she wants the length of the garden along the garage to be 66 feet more than the width. What are the dimensions of the​ garden?

Answers

Answer 1

Answer:

Length = [tex]13\ \text{ft}[/tex]

Width = [tex]7\ \text{ft}[/tex]

Step-by-step explanation:

Let

Breadth of the garden = x

According to the question length of the garden = 6+x

Fencing given for the rectangular garden = 27 ft

Perimeter of the garden is given by

[tex]6+x+x+x=27\\\Rightarrow 6+3x=27\\\Rightarrow x=\dfrac{27-6}{3}\\\Rightarrow x=7\ \text{ft}[/tex]

Here the garden's length will be along the garage so fencing will not done there. So length will be added only once in the perimiter.

The length of the garden is [tex]6+7 = 13\ \text{ft}[/tex] and the width is [tex]7\ \text{ft}[/tex].


Related Questions

Luis, Carlo, and Ken bought movie
tickets. Each ticket cost the same
amount. The 3 tickets cost $21. How
much did Carlo pay for his ticket?
Use a model to justify your answer.

Answers

3x=21
21/3 = 7
Carlo paid $7 for his ticket

Can you Please help me. With this

Answers

That looks hard i wise I was smart

A mechanic charges $55 for an engine check and $25 per hour foe his services. Which of the following is a linear model of his charges

Answers

Answer:

y=25x+55. $55 is a one-time fee while the $25 is per hour

10( x+1/2)=3x+5+7x
Please help

Answers

Answer:

All real numbers are solutions

Step-by-step explanation:

10(x + 1/2) = 3x + 5 + 7x

~Distribute left side

10x + 5 = 3x + 5 + 7x

~Combine like terms

10x + 5 = 10x + 5

~Subtract 5 to both sides

10x = 10x

~Divide 10 to both sides

x = x

~Subtract x to both sides

0 = 0

Best of Luck!

10(x+1/2)=3x+5+7x

We simplify the equation to the form, which is simple to understand
10(x+1/2)=3x+5+7x

Simplifying:
10*(x + 0.5)=3x+5+7x

Reorder the terms in parentheses
+(+10x+5)=3x+5+7x

Remove unnecessary parentheses
+10x+5=+3x+5+7x

We move all terms containing x to the left and all other terms to the right.
+10x-3x-7x=+5-5

We simplify left and right side of the equation.
0x=0

0=0

This equation is an identity, so all real numbers are solutions.

The graph of which of the following equations contains the point (-3,0)?
A
x+y=3
B.
-x - y=-3
C. x-y=3
D. x+y=-3

Answers

Answer:

you need help kd

Step-by-step explanation:

The answer is D

I hope this helps

A total of 910 tickets were sold for 5 dance
performances. What was the average number
of tickets sold for each performance?

Answers

Answer:

182

Step-by-step explanation:

910/5=182

Ned took a test with 25 questions. He lost 4 points for each of the 6 questions he got wrong and earned an additional 10 points for answering a bonus question correctly. How many points did Ned receive or lose overall?​

Answers

Answer:

Ned lost 14 points.

Step-by-step explanation:

How many points lost: 24 (6*4)

How many points added: 10

He lost 24 points, but gained back 10. So, Ned really only lost 14 points overall.

PLease help. will give brainliest to right answer

Answers

Answer:

the second bubble, [tex]\frac{1}{6^{2} }[/tex]

Step-by-step explanation:

[tex]6^{-2}[/tex] = [tex]\frac{1}{6^{2} }[/tex]

Answer:

1/6^2

the second one

Step-by-step explanation:

1. replace a with 6:

 6^-2  6 to the power of negative two

2. solve;

when you have something to the power of a negative number, it gets smaller, so think: what is 6^2? (six to the power of two) That is 36. As a fraction, that would be 36/1. Since the 2 is negative, flip it to get 1/36.

1/6^2 and 1/36 are equal since 6^2 = 36

Hope this helps :)

HELP ASAP
Help me figure this out I need to do it fast

Answers

Answer: (1,4) (2,8) (3,12)

Step-by-step explanation:

4) u= 6a + 2b, for a
What is the solution for A?

Answers

Answer:

a = (u-2b)/6

Step-by-step explanation:

First get a by itself by subtracting 2b from both sides:

u-2b = 6a

Then isolate the variable by dividing both sides by six:

(u-2b)/6 =a

How many is (+5) --(692)+1/3%

Answers

Answer:

730.3

Step-by-step explanation:

hope this helps.

A softball pitcher has a 0.487 probability of throwing a strike for each pitch. If the softball pitcher throws 29 pitches, what is the probability that no more than 14 of them are strikes? Insert the correct symbol to represent this probability.

Answers

Answer:

P(x≤14) = 0.556

Step-by-step explanation:

Given:

Probability of throwing a strike (p) = 0.487

Total number of throw (n) = 29

Find:

Probability that no more than 14 of them are strikes P(x≤14)

Computation:

Mean(np) = (29)(0.487)

Mean(np) = 14.123

Standard deviation = √[mean( 1- p)]

Standard deviation = √[14.123( 1 - 0.487)]

Standard deviation = 2.6917  (Approx)

P(X < x) = P[(Z < (x - mean)]/[Standard deviation])

P(x≤14) = P(Z < (14.5 - 14.123) / 2.6917 )

P(x≤14) = 0.556

A copy machine can print 480 copies every 4 minutes. A teacher printed 720 copies. How long did it take to print?

Answers

Answer:

10 min.

Step-by-step explanation:

Answer:

6 minutes

Step-by-step explanation:

What is the value of x in f(x)=x/3-1/6,when f(x)=0.5

Answers

the answer here is x=2. it makes it 2/3 equivalent to 4/6 then 4/6-1/6 equals 3/6 which is equivalent to .5 or 1/2.

help please asap lol

Answers

The measure of angle F is 78 degrees

Answer:

The measure of angle F is 78°.

AB = 4x + 6 and BC = 72 + 15. if AC = 120, find the length of segment AB. ​

Answers

Answer:

AB=33, x=6.75

Step-by-step explanation:

In order to solve this equation, draw a line with three points labeled A, B, and C. Then fill out what you know with the given information being AB=4x+6 and BC=72+15, then AC=120. then follow these steps:

Write the following equation: 4x+6+72+15=120Add like terms: 4x+93=120Subtract 93 from both sides, isolating the variable (x): 4x=27Divide both sides by 4 to get x=6.75

Now that we know that x=6.75, follow these steps:

Plug in x to the equation: 4(6.75)+6 to find the length of AB, and the answer would be 33.

I hope this helps!!!

What is f(g(x)) when f(x) = x ^ 2 + 5 , and g(x) = 10 - 5x ?

Answers

A function f (x) and g (x) then:

(f + g) (x) = x² - x + 6

Further explanation

Like the number operations we do in real numbers, operations such as addition, installation, division or multiplication can also be done on two functions.

Suppose a function f (x) and g (x) then:

(f + g) (x) = f (x) + g (x)

(f + g) (x) is a new function of the sum of f (x) and g (x)

Likewise with other function operations:

(f-g) (x) = f (x) - g (x)

(fg) (x) = f (x) x g (x)

(f / g) (x) = f (x) / g (x)

In addition to the above operations we can combine two functions using the function composition with the symbol o

(fog) (x) = f ((g (x))

Known on the question

f (x) = x² + 1

g (x) = 5 x

Summing the two functions f (x) and g (x):

(f + g) (x) = f (x) + g (x)

(f + g) (x) = x² + 1 + 5 - x

(f + g) (x) = x² - x + 6

9.5 -9.45 suntract and decimales​

Answers

Answer:

its 0.05

Step-by-step explanation:

Verbal contracts are generally discouraged because
a. there are usually no witnesses to a verbal contract
b. without a physical signature, they can be very difficult to enforce
C.unlike in a written contract, people can easily lie in a verbal contract
d. verbal contracts usually lack the detail necessary to produce a formal contract

Answers

Answer:

B: Without a physical signature, they can be very difficult to enforce

Step-by-step explanation:

Edge 12/7/2020

Generally, verbal contracts are often discouraged because: B. it is difficult to enforce without a physical signature.

What is a Verbal Contract?

verbal contract, which can also be referred to as a parol contact, is a contract that is expressed by just words of promise or historically, and can be recognized by the courts.

However, unlike written contracts that a signature must be appended to, verbal contract are generally discouraged because: B. it is difficult to enforce without a physical signature.

Learn more about verbal contract on:

https://brainly.com/question/21517071

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A decision maker is interested in estimating a population proportion. A sample of size n150 yields 115 successes. Based on these sample​ data, construct a​ 90% confidence interval estimate for the true population proportion. A. ​(0.714, 0.826) B. ​(0.717, 0.823) C. ​(0.750, 0.790) D. ​(0.737, 0.803)

Answers

A. ​(0.714, 0.826)

Step-by-step explanation:

Given that:

The sample size n = 150

The number of success(sample proportion) x = 115

The population proportion [tex]\hat p[/tex] =  [tex]\dfrac{x}{n}[/tex]

The population proportion [tex]\hat p[/tex] = [tex]\dfrac{115}{150}[/tex]

The population proportion [tex]\hat p[/tex] = 0.767

At 90% confidence interval level;

[tex]Z_{\alpha /2} = Z_{0.05} = 1.645[/tex]

Thus, the confidence interval estimate for the true population proportion can be computed by using the formula:

[tex]=\hat p \ \pm \ z_{\alpha /2} \sqrt{\dfrac{\hat p(1- \hat p)}{n} }[/tex]

[tex]= 0.767 \ \pm 1.645 * \sqrt{\dfrac{0.767(1- 0.767)}{150} }[/tex]

[tex]= 0.767 \ \pm 1.645 * \sqrt{\dfrac{0.767(0.233)}{150} }[/tex]

[tex]= 0.767 \ \pm 1.645 * \sqrt{\dfrac{0.178711}{150} }[/tex]

[tex]= 0.767 \ \pm 1.645 * \sqrt{.0011914}[/tex]

[tex]= 0.767 \ \pm 1.645 * 0.03452[/tex]

[tex]= 0.767 \ \pm 0.0568[/tex]

= (0.767 - 0.0568,  0.767 + 0.0568)

= (0.7102 , 0.8238 )

Due to approximation;  the confidence interval estimate for the true population proportion  is [tex]\simeq[/tex]  ​(0.714, 0.826)

The measure of an angle in standard position is given. Find two positive angles and two negative angles that are coterminal with the given angle. (Enter your answers as a comma-separated list.)

Answers

Answer:

The answer is below

Step-by-step explanation:

Let us assume the angle is -π/4.

Coterminal angles are angles that have the same initial side and terminal side. They are angles in standard position (angles with the initial side on the positive x -axis) that have a common terminal side.

Positive coterminal angles are gotten by adding 360° if the angle is in degrees or 2π for angles in radian while negative coterminal angles are gotten by subtracting 360° if the angle is in degrees or 2π for angles in radian.

Positive coterminal angle = -π/4 + 2π = 7π/4, 7π/4 + 2π = 15π/4

Positive coterminal angle = 7π/4, 15π/4

Negative coterminal angle = -π/4 - 2π = -9π/4, -9π/4 - 2π = -17π/4

Negative coterminal angle = -9π/4, -17π/4

Pack of 50 stickers costs 4.50 what the uniy price

Answers

I think it’s 0.09 cents. 4.50 /50 is 0.09
4.50 / 50 = 0.09 hope this helps

Wanda's homework was to find 73% of $400

A tape diagram. 0 dollars is 0 percent. Question mark dollars is 73 percent. 400 dollars is 100 percent. (7.3) (400) = 2,920. 73 percent of 400 dollars is 2,920 dollars.

What error did Wanda make?
O None. Wanda’s work is correct.
O Wanda converted the percent to a decimal incorrectly. It should be 0.073.
O Wanda converted the percent to a decimal incorrectly. It should be 0.73.
O Wanda has the wrong label. It should be hours, not dollars.


btw im asking these questions for people who doesnt have these questions

Answers

Answer: C because she went back to im just trying to help the team out

Answer:

(C) wanda converted the percent to a decimal incorrectly. it should be 0.73.

I answer (C) and it was correct.

Step-by-step explanation:

Give the other person brainliest ↑↑

                                                    hope it helps

4. Calculate the probability that an officer is promoted given that the officer is a man. 5. Calculate the probability of a promotion given that the officer is a woman

Answers

Answer:

4. Probability of being promoted given the officer is a man = 0.3

5. Probability of a promotion given that the officer is a woman = 0.15

Note: The data table is found in the attachment below

Step-by-step explanation:

Probability = number of required outcomes/ number of possible outcomes

4. Probability of being promoted given the officer is a man

Probability of being promoted given the officer is a man = number of men promoted/total number of men

From the table, total number of men = 960

number of men promoted = 288

Probability of being promoted given the officer is a man = 288/960 = 0.3

5.  Probability of a promotion given that the officer is a woman

Probability of a promotion given that the officer is a woman = number of women promoted/total number of women

From the table, total number of women = 240

number of women promoted = 36

Probability of a promotion given that the officer is a woman = 36/240 = 0.15

A bag contains 42 cups of dog food. Your dog eats 2 1/3 cups of dog food each day. How many days does the bag of dog food last?

Answers

Answer:

18 days

Step-by-step explanation:

2 1/3 just 7/3. Next, divide 42 by 7/3 which is just 42/1 times 3/7 which gives you 18.

There is a rope it is divided into three piece it is divided into a ratio of 2 to 3 to 4 the biggest piece is 16 . What is the length of the original rope .

Answers

Answer:

I think the answer is 25.

Step-by-step explanation:

All you need to do is add up all the numbers

also aren't you in college!!!!

Simplify the expression!
3/4(z+2/5)+2z =?

thank you for your help btw!!

Answers

11z/4 + 3/10
hope this helps
brainliest pls???

The solution of the expression is (55z + 6 ) / 20.

What is an expression?

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.

Given that the expression is 3/4(z+2/5)+2z. The expression will be solved as below,

E = 3/4(z+2/5)+2z

E = 3/4( z + 2 / 5 ) + 2z

E = 3/4 ( 5z + 2) / 5 + 2z

E = ( 15z + 6 + 40z ) /20

E = (55z + 6 ) / 20

Therefore, the solution of the expression is (55z + 6 ) / 20.

To know more about an expression follow

https://brainly.com/question/403926

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‼️ASAP!!! BRAINLIEST!!‼️
PLS HELP!!! SHOW ALL WORK +STEPS!! Thx!

Answers

Answer:

y=-3/4+7

Step-by-step explanation:

slope formula is y2-y1 over x2-x1

4-7/4-0=

-3/4

and line intercepts at 7

A scientist has a 10 pound alloy

Answers

Answer:

good for him

Step-by-step explanation:

Brainliest Plzzz!!!

Answer:

Is this free points? well thx! if u actually need help let me know

Step-by-step explanation:

Brainliest please

Help ASAP). Graph the function: Look at the picture for the problem. Brainliest Answer. Show me points of graph paper so I can see ​

Answers

[tex]the \: points \: are: \\ (−1, \: 0) \\ (1, \: 2) \\ (4, \: 2)

\\

Step-by-step \: explanation: \\ \\

f(x) = x + 1 \: ....if \: x < 0 : \iff \: ( - 1, \: 0) \\ if \: x = - 1 \: then \: y = 0\\ \\ f(x) = 2 \: ....if \: 0 . \leqslant x \leqslant 1 :\: \iff( 1, \: 2) \\if \: x = 1\: then \: y = 2. \\ \\ f(x) = x\: ....if \: x > 1 : \: \iff( 2, \: 2) \\ if \: x=2 \: then \: y=x=2.[/tex]

♨Rage♨

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