A yard has a perimeter of 400 feet. If eight times the length of the yard equals seventeen times the​ width, what are its​ dimensions?

Answers

Answer 1

Answer:

Length of the rectangular yard = 136 feet

Width of the rectangular yard = 64 feet

Step-by-step explanation:

Let

Width = 17 × width

Length = 8 × length

8l = 17w

l = 17w/8

Perimeter of a rectangular yard = 2(length + width)

400 = 2(17w/8 + w)

400 = 34w/8 + 2w

400 = 17/4w + 2w

400 = 17w+8w/4

400 = 25w/4

Cross product

1600 = 25w

Divide both sides by 25

w = 1600/25

= 64 feet

Recall,

l = 17w/8

= 17*64 / 8

= 1088/8

= 136 feet

Length of the rectangular yard = 136 feet

Width of the rectangular yard = 64 feet


Related Questions

2) I have two consecutive numbers. The difference of 4 times the first and 3 times the second number is negative 25. What is the value of your two numbers?​

Answers

Answer:

31

Step-by-step explanation:

Answer:

Step-by-step explanation

The anwser should be 30 or 37 because 4 times 3 is 12 then plus 25 is 37

1. Rotate segment C D 180° around point D.
2. Rotate segment C D 180° around point E.
3. Rotate segment C D 180° around point M​

Answers

Rotating CD 180 degrees around the point D would mean rotating it to the other side of D, in other words, rotating it clockwise. The new line would be D->M->C

Rotating CD 180 degrees around the point E would mean rotating it clockwise till "E" is a point of the line. The new line would be E->M->D.

Rotating CD 180 degrees would keep the line in the same position right now but with CD being in different order. The new line would be D->M->C.

Best of Luck!

How do I do solving systems by substitution please help
The problem I'm on is x-y=-5 with x+y=1
Please show steps I need an answer before my report card comes in tomorrow

Answers

Answer:

I believe the answer is x=-2, and y=3.

Step-by-step explanation:

Given: x-y=-5

Fill in: -2-3=-5

Calculate: -5=5

-------------------------------

Given: x+y=1

Fill in: -2+3=1

Calculate: 1=1

Answer:

x = -2.

y = 3.

Step-by-step explanation:

x-y=-5

x+y=1

From the first equation

x = y - 5

Substitute this in the second equation:

y - 5 + y = 1

2y = 1 + 5 = 6

y = 3.

Substitute this into the second equation:

x + 3 = 1

x = -2.

01:38:56
What is the scale factor of a triangle with a vertex of A(-6, 4) that has been dilated with a center of dilation at the origin so
the vertex of its image is A'(-24, 16)?

Answers

Answer:

Answer: The scale factor of the triangle is 4

Step-by-step explanation:

Which statement describes the inverse of m(x) = x2 – 17x?

Answers

Answer:

The correct option is;

[tex]The \ domain \ restriction \ x \geq \dfrac{17}{2} \ results \ in \ m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }}[/tex]

Step-by-step explanation:

The given information is that m(x) = x² - 17·x

The above equation can be written in the form;

y = x² - 17·x

Therefore;

0 = x² - 17·x - y

From the general solution of a quadratic equation, 0 = a·x² + b·x + c we have;

[tex]x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex]

By comparison to the equation,0 = x² - 17·x - y, we have;

a = 1, b = -17, and c = -y

Substituting the values of a, b and c into the formula for the general solution of a quadratic equation, we have;

[tex]x = \dfrac{-(-17)\pm \sqrt{(-17)^{2}-4\times (1) \times (-y)}}{2\times (1)} = \dfrac{17\pm \sqrt{289+4\cdot y}}{2}[/tex]

Which can be simplified as follows;

[tex]x = \dfrac{17\pm \sqrt{289+4\cdot y}}{2}= \dfrac{17}{2} \pm \dfrac{1}{2} \times \sqrt{289+4\cdot y}} = \dfrac{17}{2} \pm \sqrt{\dfrac{289}{4} +\dfrac{4\cdot y}{4} }}[/tex]

And further simplified as follows;

[tex]x = \dfrac{17}{2} \pm \sqrt{\dfrac{289}{4} +y }} = \dfrac{17}{2} \pm \sqrt{y + \dfrac{289}{4} }}[/tex]

Interchanging x and y in the function of the inverse, m⁻¹(x), we have;

[tex]m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }}[/tex]

We note that the maximum or minimum point of the function, m(x) = x² - 17·x found by differentiating the function and equating the result to zero, gives;

m'(x) = 2·x - 17 = 0

x = 17/2

Similarly, the second derivative is taken to determine if the given point is a maximum or minimum point as follows;

m''(x) = 2 > 0, therefore, the point is a minimum point on the graph

Therefore, as x increases past the minimum point of 17/2, m⁻¹(x) increases to give;

[tex]The \ domain \ restriction \ x \geq \dfrac{17}{2} \ results \ in \ m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }}[/tex] to increase m⁻¹(x) above the minimum.

Answer:

b

Step-by-step explanation:

edge 2021

MP=Rs540,discount=5%​

Answers

Answer:

hi rojithapo

Step-by-step explanation:

my name is Naveen I am indian not China

my look like China boy

Can someone please help me

Answers

Answer: (b) 7.8 degrees

Step-by-step explanation: You need to pay attention to the number -8.4. It says the temperature changed by +2.7 degrees an hour for 6 HOURS. Therefore, your equation would be -8.4 + (2.7 * 6).

You have to solve whats in the parenthesis first, so your equation would end up being -8.4 + 16.2 making your answer 7.8 degrees.

HELP ME PLEASE I NEED THIS <3333

Answers

Answer:

214°

Step-by-step explanation:

The arc subtending an angle at the centre are equal, that is

arc ED = 90° and

arc DF = 360° - (90 + 146)° = 360° - 236° = 124°

Thus

arc EDF = arc ED + arc DF = 90° + 124° = 214°

A line is an undefined term because it

Answers

A line is an undefined term because it contains an infinite number of points

Hope this helps!

Translate the following into a verbal expression 3(4-x)+7

Answers

Answer:

3 times 4 minus a number, plus 7

3(4 - x) + 7

Solve the equation below 7a=56

Answers

Answer:

a=8

Step-by-step explanation:

the answer to equation 7a=56 is a=8


the difference of six times a number and 7 is -49.​

Answers

Answer:

6x - 7 = 6(x + 4)

Step-by-step explanation:

The value of the number (n) is -7.

What is an Algebraic Expressions?When we apply the mathematical operations on constants and variables then we get the mathematical statements, these are known as algebraic expressions.The mathematical operators include, division, addition, multiplication and subtraction.

Let a number we want to find be n.

Hence, according to the given condition, the equation will be:

⇒ 6n - 7 = -49

⇒ 6n = -42

Dividing both sides by 6, we get:

n = -7

Therefore, the number that satisfy the algebraic expression is n = -7.

Learn more about the Algebraic Expressions here: https://brainly.com/question/4348710?referrer=searchResults

#SPJ2

solve for x: -8+22=13x-5-12x​

Answers

Answer:

x = 19

Step-by-step explanation:

-8 + 22 = 13x - 5 - 12x​

switch sides

13x - 5 - 12x = -8 + 22

group like terms

13x - 12x = -8 + 22 + 5

simplify:

x = 19

Can someone help me??

Answers

Answer:

C

Step-by-step explanation:

−√57 is -7.54983443 repeating but rounded is -7.5 which is smack dab in the middle of integers (numbers) of -7 and -8.

Football player caught the ball and made a gain of 8 yards on the first play. On the next play the team lost 12 yards. How many years do they need to gain on the next play to get back their original position?

Answers

They need 4. Yards ....

0.2- 4/10 - 1.625=???

Answers

Answer:

-1.825

Step-by-step explanation:

Just subtract!

Jenny invests $8500 for 3 years in a savings account. She gets 2.3% per year compound interest. How much money will Jenny have in her savings account at the end of 3 years? Give your answer correct to the nearest dollar.

Answers

Answer:$9,100.09

Step-by-step explanation:

14x – 34 = 11x + 29
x=

Answers

Answer:

-1.31

Step-by-step explanation:

14x - 11x - 29x = 34

-26x = 34

x = 34/ -26

x= -1.31

Round to the nearest thousandth: 4.3218 →​

Answers

Answer:

4.322

Step-by-step explanation:

You would round up because of 8.

Hope this helps!! :D

Answer:

4.322

Since 8 is greater than 5, you round upwards.

Please look at the question and answer

Answers

Answer:

no . of items = 10

Position of mean = (n+1)/2

                            = 11/2 = 5.5th item

In the data 5.5 item is the average of 5th and 6th item

median = (x+2+x+4)/2

or 25= (2x+6)/2

or 50 = 2x +6

0r 2x = 44

x =22

Answer:

X=23

Step-by-step explanation:

11,13,15,19,_,_,30,39,46

The middle number is the first dash which is represented by x+2 which is equal to 25

25-2=23 which is x

Dash 2 which is represented by x+4 is equal to 23+4=27

K
(
28) cm
V
1 cm
M
Han
56x-5
1.5 cm
W
Given that figure JKLMNWWXYZ. Find the value of y

Answers

Answer:

[tex] \boxed{\sf y = 6 \ cm} [/tex]

[tex] \boxed{\sf x = 25 \degree} [/tex]

Step-by-step explanation:

It is given that JKLMN [tex] \sim [/tex] VWXYZ

So, from this we can say that:

JK [tex] \sim [/tex] VW & ∠LMN [tex] \sim [/tex] ∠XYZ

i.e.

(2y - 8) cm = 4 cm & 4x° = 5(x - 5)°

Solving for y:

⇒2y - 8 = 4

Adding 8 to both sides:

⇒2y - 8 + 8 = 4 + 8

-8 + 8 = 0:

⇒2y = 4 + 8

4 + 8 = 12:

⇒2y = 12

Dividing both sides by 2:

⇒[tex] \sf \dfrac{2y}{2} = \dfrac{12}{2} [/tex]

[tex] \sf \dfrac{2}{2} = 1: [/tex]

⇒y = [tex] \sf \dfrac{12}{2} [/tex]

[tex] \sf \dfrac{12}{2} = 6: [/tex]

⇒y = 6 cm

Solving for x:

⇒4x° = 5(x - 5)°

Expanding right hand ride expression:

⇒4x° = 5x° - 25°

Adding 25° to both sides:

⇒4x° + 25° = 5x° - 25° + 25°

25° - 25° = 0°:

⇒4x° + 25° = 5x°

⇒5x° = 4x° + 25°

Substracting 4x° from both sides:

⇒5x° - 4x° = 4x° - 4x° + 25°

4x° - 4x° = 0°:

⇒5x° - 4x° = 25°

5x° - 4x° = x°:

⇒x° = 25°

Which does Not round to 200?
163
266
150
221

Answers

Answer:

266

Step-by-step explanation:

266 does not round to 200. it rounds to 300 because the number in the tens place is greater than five.

Consider points R, S, and T.

Point S is in the middle. Point R is below and to the left of point S. Point T is below and to the right of point S.

Which statement is true about the geometric figure that can contain these points?

Answers

Points R, S, and T are coplanar


Jake has a 1 in 5 chance of winning the egg and spoon race.

What is the probability that he will not win the race?

Answers

4/5

subtract 1/5 from 5/5.

Answer:

4/5

Step-by-step explanation:

if he has a 1/5 of winning, the left over chances he has has to be towards losing because we already know his chance of winning, and there is no in between, so the left over is 4/5

Factorise 18pq-12p
-

Answers

Answer:

6p(3q - 2).

Step-by-step explanation:

The GCF ( Greatest Common Factor) of 18pq and 12p is 6p.

So 18pq-12p = 6p(3q - 2).

in a grocery store, a P250.000 case of soft drinks is labelled, "get a 20% discount" what is the discount? what is the price of the case of soft drinks?

with solution​

Answers

100%-20%=80%
discount:250*20%=50
price of soft drinks:250*80%=200

Plz answer this as soon as possible it’s my hw I have to submit it tomorrow.

Answers

Answer:

43

Step-by-step explanation:

-2+3×15

45-2

43 is the answer

A teacher surveyed all 120 of her students about their lunch and lunch schedule. The teacher asked two questions:
• Do you buy a school lunch or bring lunch from home?
Do you eat during festlunch, second lunch, or third lunch
The results showed the majority of her students eat during second lunch and most students buy a school lunch
Which two way table could be a correct representation of the results?

Answers

D

you buy lunch and your teacher asks you how much you brought from home then you divide, simple.

One week, Caroline earned $183.20 at her job when she worked for 8 hours. If she is paid the same hourly wage, how much would she make the next week if she worked 13 hours?

Answers

Answer:

$297.70

Step-by-step explanation:

First, find her hourly wage:

183.20/8

= 22.9

Then, multiply this by 13:

22.9(13)

= 297.7

So, she will make $297.70 next week

Answer:

297.70

Step-by-step explanation:

Read the pdf named "Brain"

Are the ratios 3:9 and 21:27 equivalent? Why or why not?

Answers

Answer:

Not equivalent

Step-by-step explanation:

Given:

3:9 and 21:27

We see that

21:27= 7:9

Comparing:

3:9 < 7:9

They have same denominator but different numerator, hence they are different

Answer:  No

Step-by-step explanation:

No there are not since 3 times 7 = 21 and 9 times 3 = 27. The numbers that are used to multiply for the answers,  7 and 9, are not the same so therefore both ratios are not equivalent.

Other Questions
Which phenomenon related to light allows scientists to measure the distance between a star and Earth? A. Dark patches appear in the electromagnetic spectrum emitted by stars. B. Light waves spread out as they move farther from their source. C. Stars have different colors based on their temperature. D. Stars have unique elements that make up their atmospheres. PLEASE HELP I WILL MARK YOU BRAINLIEST 11. Susan was given the following number to convert to scientific notation: 12,050,000Her answer was 1.25 x 107, but it was marked wrong on her paper. Why? A rate of 5 yards per second is equal to how many yards per minute? In an alloy of gold and silver the ratio of the amount of gold to the amount of silver is 2:5.What is the weight of gold in the alloy, if there are 80g of silver? Which would NOT be found in the set of rational numbers? A. 5 B. 1/2 C. -12.5 D. 1.61803398874989484820 The ultimate authority over a territory, with the absolute right to govern. PLEASE FAST!!!! labe each situat with type of hazard or no hazard and how to fix it. 1. You are asked to mop the surgery room floor after all the surgeries have been done. When you go to do this, you are unable to find the surgery room mop. You know there is a mop for the kennel area so you use it instead. A(n) _______ has natural and human characteristics. biome region climate environment The gold-foil experiment was used to discover which subatomic particle? Question 2 options: electrons protons ==> neutrons (my answer) (You will need a calculator.) Suppose you deposit $4800 into an account paying 3.2% simple annual interest and leave it there for six years.Assuming that you make no other deposits or withdrawals, how much will the account hold at the end of that time?Answer: $(Round your answer to the nearest cent. Enter only the number without commas, not the dollar sign.) which statement describes one way that RNA differs from DNA?a) one is a protein, and the other is a nucleic acid b) they contain different five-carbon sugars and a different nitrogenous base c) they are both carbohydrates, but one is a polysaccharide d) one provides energy, and the other carries genetic information In a year group of 108 students, 60 liked football,53 liked tennis and 10 liked neither. Calculatethe number of students who liked football but not tennis. Which is an example of a primary source? Which sentence from the excerpt contains a stated physical trait? "That's a lot of sunflower seeds," the bus guard said. Stanley noticed a burlap sack filled with sunflower seeds on the floor next to the desk. He had a tattoo of a rattlesnake on his arm, and as he signed his name, the snake's rattle seemed to wiggle. The guard laughed. Explain how to perform a compression. How many compressions should be completed per minute Are today's music tracks educational or meaningful at all? a cpu handless all the instruction that it recieces from hard ware and software which are available on the computer true or false A student lifts a bag from the floor to his or her shoulder 1.2m above the floor, using a force of 50N. How much work does the student do on the bag ? Which of the following is NOT a subset of the rational numbersIntegersWhole NumbersPerfect square integersIrrational numbers