The perimeter of a rectangle is 32 meters. The length is 5 less than twice the width. Find the length and the width of the rectangle.
length:___ Width:____

Answers

Answer 1
Let x and y be the length and width of the rectangle respectively
2(x+y)=32...(1)
x=2y-5...(2)

From (1),we have
2x+2y=32...(3)

By sub.(2) into (3),we have
2(2y-5)+2y=32
4y-10+2y=32
6y=42
y=7

By sub.y=7 into (2),we have
x=2*7-5
x=14-5
x=9

Length =9m
Width =7m

Related Questions

Divide 4 1/2 by the following unit fractions.

1/8

Answers

Answer:

The answer is 36

Step-by-step explanation:

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

92÷18

Applying the fractions formula for division,

=9×82×1

=722

Simplifying 72/2, the answer is

=36

help please (will mark brainliest or however you spell it)

Answers

it’s the third answer

Find the equation of the line with slope –5/2
and y-intercept (0,0).

Answers

Answer:

y= -5/2X

.....................

life is slavery

all your life you work

first its preschool
then its school
then college
then you go off to work
then you retire and rot away in your kids' house or in a retirement home
then you die

one day you are a 13 year old rocking out to nirvana then you die

Answers

i don't know how to feel about this but this is deep

bro- are you ok? like really- are you good?

The difference of two numbers is 2. Their sum is 12. What are the numbers?

Answers

Answer:

the numbers would be 5 and 7.

Step-by-step explanation:

"the difference of two numbers is 2."

7 - 5 = 2

"their sum is 12."

7 + 5 = 12

since the difference of 7 and 5 is 2 and the sum of 7 and 5 is 12, 5 and 7 are the numbers that fulfill the statement.

i hope this helps! have a lovely rest of your day <3

Josh has 4 boxes of candy to share with his 20 classmates. If each classmate receives the same amount of candy, how much candy should each classmate get? Your answer​

Answers

Each classmate would get 1/5 of a box.

Answer:

1/5 of a box of candy

Step-by-step explanation:

Because John has 4 boxes of candy, he needs to divide this by his 20 classmates. So we have 4/20, which reduces to 1/5. So each classmate would get 1/5 of a box of candy (assuming that Josh himself does not get any candy).

What is the answer??????????????????????

Answers

Answer:

I think so Yes

Step-by-step explanation:

Write the equation in standard form.
y = 7x + 2/3

Answers

Answer:

It is probably 21x-3y= -2

Answer:

Here is the ANSWEr :p

Step-by-step explanation:

Sorry it dark my time is 7:37pm Wed Feb 24 2021!!!!

A random number generator is set to produce integers from 1 to 10.
About how often would you expect to get an even number in 300 trials?
You would expect to get an even number about
times.

Answers

Answer:

you would expect to get 100-200 even numbers. but if u want an exact answer it would be 150 times.

Step-by-step explanation:

there are 5 even and odd numbers. so a 1/2 chance. and 1/2 of 300 is 150

Which triangle most likely has the angles 56°, 48°, and 76°?
A. triangle A
B. triangle B
C. triangle C
D. triangle D

Answers

Answer:

c

Step-by-step explanation:

F(t)=212-6t
what is the value of t when F (t) = 140?

Answers

Answer: -628

Step-by-step explanation:

F(140) = 212 - 6(140)

F(140) = 212 - 840

F(140) = -628

find the prime facrorization for 100 A.2² × 5² B.2×50 C.4×25 D.2³ × 5² E. 2² × 5³ ​

Answers

Answer:

A

Step-by-step explanation:

100-25*4=5 squared*2 sqaured

so A

Answer:

prime factorization of 100=a.2²+5²

"Y varies directly as x". If y = 3 when x = 24, find y when x = 10.

Answers

Answer:

y=3x-24

Step-by-step explanation:

Cuanto es 1+2:
pOrFa NoSe ​

Answers

Answer:

3

Step-by-step explanation:

es hora de comer

Which rational number equals 0 point 2 with bar over 2

Answers

1. 0.2/2 = 1 and one is also rational

Diana and Michael, who are taking different classes, are arguing about who did better on their most recent test. Diana received a score of 92 on her History test and Michael received a 688 on his Math test. The mean test score for the History class is 71 with a standard deviation of 15.The mean test score for the Math class is 493 standard deviation of 150. Who did better, relative to other students in the same class? Justify your answer.

Answers

Answer:

Diana's score is better.

Step-by-step explanation:

In Diana case :

Score = 92

Mean score , μ = 71

Standard deviation σ = 15

So,

P( x ≥ 92 ) = 1 - P( x ≤ 92 )

                = 1 - P(z ≤ [tex]\frac{x - u}{\sigma}[/tex] )

                = 1 - P( z ≤ [tex]\frac{92 - 71 }{15}[/tex] )

                = 1 - P( z ≤ 1.4 )

                = 1 - 0.9192

                = 0.0808 = 8.08 %

⇒P( x ≥ 92 ) = 8.08%

∴ we get

Diana score is > 91.92% other students in the class.

In Micheal case :

Score = 688

Mean score , μ = 493

Standard deviation σ = 150

So,

P( x ≥ 688 ) = 1 - P( x ≤ 688 )

                = 1 - P(z ≤ [tex]\frac{x - u}{\sigma}[/tex] )

                = 1 - P( z ≤ [tex]\frac{688 - 493 }{150}[/tex] )

                = 1 - P( z ≤ 1.3 )

                = 1 - 0.9032

                = 0.0968 = 9.68 %

⇒P( x ≥ 688 ) = 9.68%

∴ we get

Micheal score is > 90.32% other students in the class.

From both scores , we can conclude that

Diana's score is better.

PLEASE HELP I'LL GIVE BRAINLIEST!!!!!!!!! According to the Census Bureau, in 2014 California had an estimated population of 3.88 × 107 and Wyoming had a population of 5.84 × 105. Complete the following sentences.

3.8216 × 107 0.38216 × 107 3.8216 × 106 38.216 × 107 0.66 × 101

66.4 × 101 6.64 × 101

The population of California is __________ more than the population of Wyoming
Alternatively, the population of California is _________ times the population of Wyoming.

Answers

Answer:

The population of California is [tex]3.3216 * 10^{7}[/tex] more than the population of Wyoming.

Alternatively, the population of California is [tex]6.64 * 10^{1}[/tex] times the population of Wyoming.

Step-by-step explanation:

The first part is to take the numbers out of the scientific notation. The estimated population of California is 38,800,000, and the population of Wyoming is 584,000.

Not that we've done that, let's start with the first part of the problem.

"The population of California is __________ more than the population of Wyoming."

This is a statement of subtraction, because it's not asking how many TIMES more. So, we subtract Wyoming's population from California's population.

[tex]38,800,000 - 584,000 = 38,216,000.[/tex]

Putting that number into scientific notation is easy: move the decimal to the place in the number where there will only be one number in front of the decimal: 3.3216. How many number slots until you have only one number in front of the decimal? 7. So, we know that the power of 10 is going to be 7. So, the first part of the question answers to:

[tex]3.8216 * 10^{7} .[/tex]

Now for the second part.

"Alternatively, the population of California is _________ times the population of Wyoming."

This is a problem of division. The question is asking us to divide California's population by Wyoming's population.

[tex]\frac{38,800,000}{584,000} = 0.664383562 * 10^{2} .[/tex]

We need to have one number in front of the decimal point, so we move it behind the first 6, giving us 6.64. Because we did this, we need to bump the exponent from 2 to 1, leaving us with:

[tex]6.64 * 10^{1}.[/tex]

So, the answer to the question is:

1. [tex]3.8216 * 10^{7}.[/tex]

2. [tex]6.64 * 10^{1}.[/tex]

Hope this helped you, and I hope you get a perfect score!! :)

Answer:

The population of California is ( 3.8216 x 10⁶ ) more than the population of Wyoming.

Alternatively, the population of California is ( 6.64 x 10¹ ) times the population of Wyoming.

Step-by-step explanation:

I'm pretty sure this is what the other person was trying to say it was just very confusing.

Anyway I got this right on my mastery test.

so thx for the points

I SUCK AT THIS. PLEASE HELP! Factor x^2-11x+24x.

Answers

Answer: I think it is (x+3) (x+8)

[tex]x^{2} +13[/tex]

Step-by-step explanation: can u gimme brain plz!

hi can you guys help me with this :) ​

Answers

Answer:

1/2 + 1/4 would be 3/4.

1/2 + 1/6 would be 2/3.

Step-by-step explanation:

Answer:

No 2 :8

Sorry if wrong........

what is -6(a + 8) simplified?

Answers

Answer:

-6a-48

Step-by-step explanation:

Answer:

-6a - 48

Step-by-step explanation:

distribute

-6 x a = -6a

-6 x 8 = -48

put the answer together

-6a - 48

find the perimeter n area pls !

Answers

Answer:

6yx

Step-by-step explanation:

Select the equation that contains the point (4,7) and in which the slope equals 1​

Answers

Answer:

y-7=x-4

Step-by-step explanation:

If you change the equation to y=mx+b yout would get Y=x+3 plug in the point (4,7) and you would get 7=4+3

7=7 so that is correct.

Suppose has a solution. Explain why the solution is unique precisely when has only the trivial solution. Choose the correct answer.

Answers

Answer:

Because [tex]x = y[/tex], then the solution is unique.

Step-by-step explanation:

Given

[tex]Ax = b[/tex]

[tex]Ax=0[/tex]

See comment for complete question

Let there be two solutions x and y.

Such that:

[tex]Ax = b[/tex] and [tex]Ay = b[/tex]

Since:

[tex]Ax = Ay = b[/tex]

Then:

[tex]Ax - Ay = b - b[/tex]

[tex]Ax - Ay = 0[/tex]

This implies that:

[tex]Ax - Ay = A(x-y) = 0[/tex]

The only trivial solution is:

[tex]Ax - Ay = A(x-y) = 0[/tex]

Such that:

[tex]x -y = 0[/tex]

Then

[tex]x = y[/tex]

Because [tex]x = y[/tex], then the solution is unique.


its something about cookies

Answers

Answer:

huh????

Step-by-step explanation:

Answer:

cool. i like cookies.

Which fraction is equivalent to (7-3)*3/10^4-10^2
A. 16/25
B. 1/25
C. 8/1125
D. 16/2475

Answers

Answer:

C.8/1125 is the answer......

Miranda needs to add 68+19 mentally but is struggling.If she knows that 68+20=88 how can she use this to help.Use a similar approach to describe how Miranda could add 37+29 mentally

Answers

If Miranda knows that 68+20=88 she can just subtract 1 from that answer because 20 is on less than 19. Miranda can use the same approach for 37+29 if she knows 37 + 30.
If she knows 68+20=88, then all she has to do is subtract 1 to get the answer to her original equation. If you use the same approach in the second equation it looks like this: 37+30=67 and she needs the answer to 37+29 so just subtract 1 and there’s your answer 66.

The formula V equals S to the third power gives the volume V of a cube with the side length S the volume of a cube that has a side length of 3 inches is__?__ inches cubed

Answers

Answer:

27

Step-by-step explanation:

The formula for the volume of a cube is given as [tex]V=s^{3}[/tex]. if s=3in, then V=27inches cubed.

Simplify: 10 divided by 1/4
1) 40
2) 1/40
3) 2 and 1/2
4) 20

Answers

Answer:

1

Step-by-step explanation:

10*4=40

so 1

(This is fundamental Counting principle) choosing from 35 different flavors of ice cream; one, two or three scoops; and sugar or waffle cone.

Answers

Answer:

210

Step-by-step explanation:

35x3x2=210

Sam can ride his bike 4.2 kilometers in 6 minutes. Amanda can ride her bike 3.2 kilometers in 8 minutes. Jesse can ride his bike 3.0 kilometers in 5 minutes.

Which rider might go farther in 1 minute?

Answers

Answer:

jesse or sam i think its sam by a little bit.

Step-by-step explanation:

Answer:

Sam

Step-by-step explanation:

Find all of their speeds to find how far they will go in 1 minute, by dividing the number of kilometers by the number of minutes:

Sam

4.2/6

= 0.7 km/min

Amanda

3.2/8

= 0.4 km/min

Jesse

3/5

= 0.6 km/min

Since 0.7 is the greatest number, that means Sam is the rider that will go the farthest in one minute.

Other Questions
Camptown Togs, Inc., a childrens clothing manufacturer, has always found payroll processing to be costly because it must be done by a clerk so that the number of piece-goods coupons received by each employee can be collected and the types of tasks performed by each employee can be calculated. Not long ago, an industrial engineer designed a system that partially automates the process by means of a scanner that reads the piece-goods coupons. Management is enthusiastic about this system because it utilizes some personal computer systems that were purchased recently. It is expected that this new automated system will save $45,000 per year in labor. The new system will cost about $30,000 to build and test prior to operation. It is expected that operating costs, including income taxes, will be about $5,000 per year. The system will have a five-year useful life. The expected net salvage value of the system is estimated to be $3,000.(a) Identify the cash inflows over the life of the project.(b) Identify the cash outflows over the life of the project.(c) Determine the net cash flows over the life of the project. 5. Calculating tax incidence Suppose that the U.S. government decides to charge beer consumers a tax. Before the tax, 30 billion cases of beer were sold every year at a price of $5 per case. After the tax, 25 billion cases of beer are sold every year; consumers pay $7 per case (including the tax), and producers receive $4 per case. Lisa can run 4 more miles than Marlie. Marlie can run twice as many miles as Amy. Amy can run 3 miles. How many miles can Lisa run? What was the main focus of the foreign policy decisions made by President Dwight Eisenhower?A. Funding economic stability in Latin AmericaB. Promoting human rights in African countries C. Reducing the spread of epidemics in Asian countries D. Limiting the spread of communism in Eastern Europe 23. How did the NIRA affect Georgia?A. It outlawed unions in the textile industry.B. It resulted in a strike in the textile industry.C. It enabled factory owners to hire more workers.D. It created better working conditions in the textile industry. CH4 has how many of each type of atom? Solve for x. 1/2x+1/3>3/5 A module house is made by sticking a triangular prism on top of a rectangular block, as shown in the diagram. 60(637)=I don't understand plz help after the 15% sales tax the jeans were 16.10. how much was the jeans before the sales price? How many atoms are in 100g H2O ? Which of the following multiplication problems has a product that is less than 25? Select 3. For each sentence below, decide whether the word with the arrow pointing towards it is understood as an adjective or adverb. 1. She is behaving unreasonably 2. The decision has global effects 3. They rushed straight to the ticket window. 4. He was breathing hard after his goal. 5. They knew the distance was far. 6. Lets go to the early show. Working hard for another in return for protection best describes what element of the Middle Ages?a.chivalryb.the Churchc.manorialismd.feudalism Which is the slowest reading rate?A. 3 pages in 9 minutesB. 4 pages in 10 minutesC. 5 pages in 13 minutesD. 7 pages in 20 minutes Are ribosomes the food for a plant cell? Energy in a chemical reaction can be identified as which of the following?A.) HeatB.) LightC.) HD.) 2,000KjE.) All of the above How can smart growth reduce a cities dependence on automobiles?A. It encourages people living in the suburbs to avoid a cities mass transit system. B. It shortens the commute between the suburbs and a city central business districtC. It reduces the amount of driving required between suburban homes and grocery stores.D. It provides people living in high density areas easy access to wilderness areas subtract 10x^2-10x+2 from -8x^2+7x-7 Match the word to an antonym. 1. broad strong2. begincease3. weaklose4. silent noisy5. difficultnarrow6. stretchdifferent 7. similarshrink8. win retreat9. advanceeasy