A square rug has a side length of x. A rectangular rug has a length that is 4 yards longer than the square rug and a width that is 2 yards shorter than the square rug. If the areas of the two rugs are equal, what is the length of the rectangular rug?

Answers

Answer 1

Answer:

8

Step-by-step explanation:

X²=(x+4)(x-2)

x²=x²+2x+4x-8

x²=x²+2x-8

x²-x²-2x=-8

2x=8

x=4

so the square rug is 4x4 and the rectangular rug is 8x2


Related Questions

Jenn made 18 correct and 12 incorrect decisions for a total of 30 points. Mara made 16 correct and 8 incorrect decisions for a total of 32 points

Answers

Answer:

Jenn:   12/30 incorrect  18/30 correct

Mara.    8/24 incorrect   16/24 correct

Step-by-step explanation:

Could you ask the question???? This isn’t a questions it more like a statement so I tried to do my best and I just made them into fractions

HMMMMMMMMMMMMMMMMMMM
Do you know??

Answers

um tbh i think that the answer is c i hope i’m right
It’s a, I remember I had to go back to my ms days lol, but mark BRAINLIEST please

Aaron ran 5/8 mile to his friend's house. Then he ran another 1/4 mile to the park.

Answers

Complete question : Aaron ran 5/8 mile to his friend's house. Then he ran another 1/4 mile to the park. Find Aaron's total miles ran?

Answer:

7/8 miles

Step-by-step explanation:

Given that:

Distance to friend's house = 5/8 miles

Then, Distance to park = 1/4 miles

Total. Distance ran :

(5/8 + 1/4)

L.C.M of 4 and 8 = 8

(5 + 2) / 8 = 7/8 miles

Total distance ran = 7/8 miles

The area of rectangular kitchen tile is 6x^2-8x-30. The width is 2x-6.
A) what is the length of the kitchen tile?
B) Find the perimeter

Answers

Answer:

L=6x^2-4x+5

P=12x^2-4x-2

Step-by-step explanation:

A=WL

So, we know the area is 6x^2-8x-30 and the width is 2x-6

Substitute

(6x^2-8x-30)=(2x-6)(L)

L=(6x^2-8x-30)/(2x-6

Divide

L=6x^2-4x+5

P=2L+2W

Substitute

P=2(6x^2-4x+5)+2(2x-6)

P=12×^2-8x+10+4x-12

Simplify

P=12x^2-4x-2

PLS HELP!! 9-3 divided by 1/3+1=________.

Answers

What you need to do is divide the fraction then multiply by the reciprocal of that fraction

So it’ll be 9-3x3+1

Then you multiply the numbers

9-9+1

Eliminate both 9’s, therefore the answer will be 1

Answer:-3

Step-by-step explanation:

Please help me out!!!!!

Answers

Answer:

Start by identifying which solutions have a degree of 2 Degree of two is the sum of all the exponential powers.You have a coefficient leading of 1 so x^2 would be the correct first term.Hope this helps.

Answer: x^2 - 14x + 53

Explanation:

Multiply out the zeros;

(x - (7 + 2i)) (x - (7 - 2i))

Escribe dos numeros cuyo maximo comun divisor sea 210 y que esten entre 10000 y 11000

Answers

Let [tex]p[/tex] and [tex]q[/tex] be two numbers, such that

[tex]10000 < 210p < 11000, \quad 10000 < 210q < 11000[/tex]

If [tex]p[/tex] and [tex]q[/tex] have no common factors, the greatest common factor between [tex]210p[/tex] and [tex]210 q[/tex] is obviously 210.

If we divide the inequalities above by 210, we see that

[tex]\dfrac{10000}{210} < p < \dfrac{11000}{210}, \quad \dfrac{10000}{210}< q< \dfrac{11000}{210}[/tex]

And rounding to the nearest integer, we deduce that [tex]p[/tex] and [tex]q[/tex] must be between 48 and 52.

We may pick [tex]p=49[/tex] and [tex]q=50[/tex], because they have no common factors. So, our numbers would be

[tex]210\cdot 49=10290,\quad 210\cdot 50=10500[/tex]

Which one is it need helpllll

Answers

Answer:

it is D) 25

Step-by-step explanation:

Given f(x) = 17( 3 + x), what is the value of f(-2)?

Answers

Answer: 17

Step-by-step explanation:

F( -2) = 17 ( 3 -2)

= 17 (1)

=17

A fraction is which type of number?
Rational or Irrational

Answers

Answer:

Rational

Step-by-step explanation:

All rational numbers can be written as fractions.

On Monday, Greg walks the entire length of a trail that is 4 3/4 miles long. On Tuesday, he walks the entire length of a trail that is 3.8 miles long. On Wednesday, he starts out on a trail that is 2 3/5 miles long, but he does not walk the final 1.7 miles. How many miles does Greg walk in all on Monday, Tuesday, and Wednesday?

Answers

Answer: it's B

Step-by-step explanation:

Answer:

D) 9 9/20

Step-by-step explanation:

Step 1:

4 3/4 + 3.8 + (2 3/5 - 1.7)

Step 2:  Order of Operation (AKA PEMDAS)

4 3/4 + 3.8 + (2 3/5 - 1.7)

Step 3:

4 3/4 + 3.8 + (9/10)

Step 4: Add it all up

4 3/4 + 3.8 + (9/10) = 9 9/20

*BRAINIEST & 20 POINTS*

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

8 = x

y = 29

Step-by-step explanation:

4x + 17 = y + 20 because vertical angles theorem.

y + 20 = 5x + 9  because interior angles theorem.

4x + 17 = 5x + 9  because same side interior angles theorem.

Subtract 9 from both sides and subtract 4x from both sides.

8 = x

Plug 8 in for x and solve.

5 times 8 is 40, plus 9 equals 49. Subtract 20 from both sides and you get 29.

5(8) + 9 = y + 20

49 = y + 20

29 = y

I hope this helps!

#teamtrees #WAP (Water And Plant)

Answer:

[tex]for \: answer \: see \: the \: pic \: along \\ \: with \: it. \\ \\ \\ hope \: it \: helps \: \\plz\: mark \: as \: brainliest \: answer..[/tex]

x+3y=0
9y=-3x
how many solutions does this sytem have

Answers

Answer:

0 solutions

Step-by-step explanation:

when the 2 equations aresolved they get cancelled off each other.

Answer:

Infinite solutions

Step-by-step explanation:

got it right

How far can a car travel on 1 gallon of gasoline?

Answers

Answer:

25 miles

Step-by-step explanation:

50/2=25

Answer:

25 miles

Step-by-step explanation:

it would be half of 50 so it would be 25 because it goes up by 25 each time

–18 • –17 please hrlp

Answers

Answer:

The answer is 306

Step-by-step explanation:

(−18)(−17)

=306

The answer would =306

Mia and Troy work on weekends. The table and graph show the amount of money they made over four weeks.
After week 1, Mia’s total earnings were Troy’s.
After week 3, Troy’s total earnings were Mia’s.

Answers

Answer: greater than, the same as

Step-by-step explanation:

The solution is : After 7 weeks, Mia's office will have recycled 21 pounds.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

With the information provided, you can use a rule of three to find the pounds of paper that Mia's office will have recycled after 7 weeks given that they recycled 9 pounds over 3 weeks.

3 weeks  →  9 pounds

7 weeks  →         x

x=(7*9)/3

x=21

According this, the answer is that after 7 weeks, Mia's office will have recycled 21 pounds.

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Complete question:

Mia's office recycled a total of 9 pounds of paper over 3 weeks. After 7 weeks, how many pounds of paper will Mia's office have recycled? Choices: 24 21 15 18

Fluffy bunny ate 1/2 of a carrot in the morning by the end of the day he started 2/5 of how much of the Caribbean fluffy eat at night

Answers

Answer: I think it’s 0.1 or 1/10 but I’m kinda confused

Step-by-step explanation: someone pls correct me if I’m wrong

1/2 is 0.5

2/5 is 0.4

0.5-0.4=0.1

0.1=1/10

1/10 of carrot, fluffy will eat at night.

What is fraction?

Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator, below one is called denominator

Given,

Fluffy bunny ate 1/2 of a carrot in the morning

By the end of the day he ate 2/5 of left carrot = 2/5

Whole carrot can be considered as 1.

Carrot left after eating 1/2 of it in the morning

= 1 - 1/2

= 1/2

Carrot left after eating 2/5 part

= 1/2 - 2/5

= (5 - 4)/10

= 1/10

Hence, fluffy ate 1/10 of carrot at night.

Learn more about fraction here:

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A group of students collect a number of shells on the beach. They sort the shells into three piles based on the size of each shell. Pile 1 has half as many shells as the total amount they collected. Pile 2 has 10 fewer shells than the first pile. Pile 3 has the remaining shells. Write an expression that represents the number of shells in Pile 2.

Answers

Answer:

Three piles

Let No. of shells =S

pile1=0.5 S

pile2=0.5S-10

pile 3=10

The required expression is [tex]y=x-10[/tex]

Computation:

Let us that,

The number of shells in pile 1 be[tex]'x'[/tex]

The number of shells in pile 2 be [tex]'y'[/tex]

The number of shells in pile 3 be [tex]'z'[/tex]

Now,

The number of shells in pile 2 is 10 fewer than the number of shells in pile 1.

So, the expression is, [tex]y = x - 10[/tex]

Learn More:https://brainly.com/question/16919676

can someone please help me solve
x to the third power=1,000

Answers

Answer:

x=10

Step-by-step explanation:

Answer:

it is 10 :)

Step-by-step explanation:

Can anyone help me with this?

Answers

[tex]the \: surface \: area \: of \: both \: cone = 2(\pi{rl} + \pi{ {r}^{2} } ) \\ total \: surface \: area \: of \: both \: cone = 2(\pi{( \frac{1.4}{2} )(2.7)} + \pi{ {( \frac{1.4}{2} )}^{2} } ) \\ total \: surface \: area \: of \: both \: cone = \boxed{4.76\pi} \\ \\ the \: surface \: area \: of \: the \: cylinder = 2\pi{rl} +2 \pi{ {r}^{2} } \\ the \: surface \: area \: of \: the \: cylinder = 2\pi{( \frac{1.4}{2} )(7.5)} +2 \pi{ {( \frac{1.4}{2} )}^{2} } \\ the \: surface \: area \: of \: the \: cylinder = \boxed{11.48\pi} \\ \\ therefore \: the \: surface \: area \: of \: the \: composite \: object \: = \boxed{4.76\pi + 11.48\pi} \\ the \: surface \: area \: of \: the \: composite \: object \: = \boxed{16.24\pi}[/tex]

Please Help !!!! I need ASAP

Answers

400/4
40/4
16/4
because 400 dived by 4 is 100 and 40 divided by 4 is 10 and 16 divided by 4 is 4 all together 114

One hundred people are recruited for an experimental study to determine whether
exercising 30 minutes before lunch or 30 minutes after lunch will help improve heart health more. They will be split into two groups that do not necessarily need to be the same size. One group will exercise and then eat, and the other group will do the same exercises after eating instead. After a month, each person's heart health improvement will be assessed by the same doctor, and the groups will be compared. The participants' names will be on a numbered list based on the order in which they agreed to join the experiment.

Select all the methods that can be used to randomly assign people in the experimental study into two groups. (select multiple answers)

Flip a coin for each person on the list. If the coin comes up heads, they will be put in the group that exercises before lunch. If the coin comes up tails, they will be put in the group that exercises after
lunch

Participants are divided based on their birth month. Those born in January through June will exercise before lunch, and those born in July through December will exercise after lunch.

Participants choose which group to join based on convenience for their work or school schedule.

The names are put into a bowl and mixed around. The first 50 names drawn will be put in the group that exercises before lunch, and the others will exercise after lunch.

The odd-numbered people will be in the group that exercises before lunch, and the even-numbered
people will be in the group that exercises after lunch.

Answers

Answer:

 

B.)  Flip a coin for each person on the list. If the coin comes up heads, they will be put in the group that exercises before lunch. If the coin comes up tails, they will be put in the group that exercises after lunch.

D.)  The names are put into a bowl and mixed around. The first 50 names drawn will be put in the group that exercises before lunch, and the others will exercise after lunch.

Step-by-step explanation:

These are all the random ones I picked.

The two methods that can be adopted are Option 1 and 3

What do you understand by Random sampling ?

Random Sampling is the sampling method where samples are chosen randomly.

each unit has an equal chance of being selected in a sample.

It is given that

One hundred people are recruited for an experimental study to determine whether

exercising 30 minutes before lunch or 30 minutes after lunch will help improve heart health more.

They will be split into two groups that do not necessarily need to be the same size

the methods that can be used to randomly assign people in the experimental study into two groups.

1. Flip a coin for each person on the list. If the coin comes up heads, they will be put in the group that exercises before lunch. If the coin comes up tails, they will be put in the group that exercises after lunch

2.The names are put into a bowl and mixed around. The first 50 names drawn will be put in the group that exercises before lunch, and the others will exercise after lunch.

Therefore Option 1 and 3 are the two methods that can be adopted.

To know more about Random Sampling

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Peyton has p pennies and n nickels. She has at most 18 coins altogether. Write this situation as an inequality.

Answers

Answer:

p + n ≠ 18

Step-by-step explanation:

Please help. Solve 9= -3(x + 6)

Answers

Answer:

x=-9

Step-by-step explanation:

9=-3(x+6)

9=-3x-18

27=-3x

-9=x

If the principal is $6,321 and the rate of interest is 4.5%, what is the amount of interest after five year?

Answers

Answer:

$6889.89

Step-by-step explanation:

6321/100=63.21

63.21x4.5=284.445

284.445x5=568.89

568.89+6321=$6889.89

anybody solve this i made it its easy
3(55x2) + 9 + 44 +88 x 9 = your number + 163593

Answers

Answer:

165*6+53+792= 990+845 = 1,835

Step-by-step explanation:

Kayla is going to invest in an account paying an interest rate of 2.9% compounded
monthly. How much would Kayla need to invest, to the nearest cent, for the value of
the account to reach $42,000 in 6 years?

Answers

Answer:

the answer is 48m^2!

Step-by-step explanation:

Answer:

The answer is 35299.88. Hope this helps

-3.09 + x = -0.7
please solve for x :)

Answers

Answer:

x =2.39

Step-by-step explanation:

;D

which system of inequalities is shown in the graph?
A)
[tex]y \leqslant 5 \: \: and \: \: y \geqslant 3x - 2[/tex]
B)
[tex]y > 5 \: \: and \: \: y < 2x - 3[/tex]
C)
[tex]y > 5 \: \: and \: \: y \geqslant 2x - 3[/tex]
D)
[tex]y \leqslant 5 \: \: and \: \: y > 3x - 2[/tex]

Answers

Answer:

sry I can't understand how to do this question

A cheetah can run at its top speed for about 25 seconds. Complete the table to represent a cheetah running at a constant speed.

Answers

Answer:

Put a picture Then I can help hun

Step-by-step explanation:

Answer:

ok this was a good one so here

Step-by-step explanation:

time (seconds)

distance (meters)

speed (meters per second)

4 120 30

25 750 30

9 270 30

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