The length of a rectangle is 5m longer than its width. If the perimeter of the rectangle is 54m, find its length and width.

Answers

Answer 1

Answer:

Width=11

Length=16

Step-by-step explanation:

P=2L+2W

54=2(5+w)+2w

Open the brackets

10+2w+2w=54

10+4w=54

Collect the like terms

4w=54-10

4w/4w=44/4

W=11

Since the length is 5m longer

Therefore:11+5=16

Width=11

Length=16


Related Questions

In 2006, ford motor co. Sold 2.8 million cars. Of the average cost per car was $27,000. What were the total sales for ford.

Answers

Answer:

Seventy five billion six hundred million

Step-by-step explanation:

2.8 million x 27,000

Name two points on the line y = 6x. Does it describe a
proportional relationship?

Answers

Answer:

b. Non-proportional

Step-by-step explanation:

A table of values that represents a proportional relationship will have the same ratio of every pair in the given table. That is, y/x will result in the same value all through for every given pair.

The table of values given does not show a proportional relationship, because the ratio of y to x of each given pair of values are different and unequal:

y/x = 3/1 ≠ 5/2 ≠ 7/3 ≠ 9/4

Therefore, it is non-proportional.

hope i help

se acabaron los bidones de 10 y se quieren envasar 1362 litros de agua ¿cual es la menor cantidad de envases que se pueden llenar?​

Answers

Answer:

serían 136 y sobran 2

Step-by-step explanation:

porque al ser una botella de 10 litro y 1362 los dividimos nos da la cantidad de 136 se puede hacer mentalmente

Which of these is an example of a continuous random variable?
A. Points scored by a football team
B. Number of eye blinks in a minute
O C. Speed of a race car during a race
O D. Number of dogs at a kennel

Answers

B.Number of eye blinks in a minute.
We do not have a set amount of blinks per minute.
A.Inccorect,a touchdown is 6 points
C.Speed of a race car rises at a constant rate depending on the car,speed e.t.c
D.Dogs get placed in a kennel and have a set ammount.

Estefania can run 3/4 of a race in 2/3 hour. How long will it take her to complete the entire race?

Answers

Answer:

3/4 x = 2/3

If we multiply both sides by 4/3 we will have

x = 2/3 × 4/3 = 8/9 hour

What is the solution to the system of equations?

Answers

Answer:

(3, -2)

Step-by-step explanation:

both of the equations are equal to y, which means they are equal to each other.

So you write them as equation(1) = equation(2)

and solve for x.

Next substitute the value of x to any of the equations and find y. And that is how I got (3 , -2)

Hope I was able to help:)

Find the missing side !!

Answers

Answer:

36?

Step-by-step explanation:

How much Angela payed for the couch

Answers

Answer:

697.05$

Step-by-step explanation:

Mark as brainliest

697.05 hope this helped

Item 4 Write a proportion to find how many points x a student needs to score on a test worth 50 points to get a test score of 40%

Answers

Answer:

20 points

Step-by-step explanation:

We need to find how many points x a student needs to score on a test worth 50 points to get a test score of 40%.

Let x be the number of points.

ATQ,

[tex]\dfrac{x}{50}=\dfrac{40}{100}\\\\x=\dfrac{50\times 40}{100}\\\\x=20[/tex]

Hence, a student needs 20 points to get a score of 40%.

please help me | what is cos^6 x = cot^4*csc^2x-cot^4x????

Answers

Answer:

Write

csc

4

x

as

1

sin

4

x

and

cot

4

x

as

cos

4

x

sin

4

x

csc

4

x

cot

4

x

=

1

sin

4

x

cos

4

x

sin

4

x

=

1

cos

4

x

sin

4

x

Now recall that

a

2

b

2

=

(

a

b

)

(

a

+

b

)

and use this fact with

a

2

being and

b

2

being

cos

4

x

so that

a

is 1 and b is

cos

2

x

So

csc

4

x

cot

4

x

=

1

cos

4

x

sin

4

x

=

(

1

cos

2

x

)

1

+

cos

2

x

sin

4

x

But

cos

2

x

+

sin

2

x

=

1

so that

1

cos

2

x

=

sin

2

x

so

csc

4

x

cot

4

x

=

sin

2

x

1

+

cos

2

x

sin

4

x

=

1

+

cos

2

x

sin

2

x

=

(

1

sin

2

x

)

+

(

cos

2

x

sin

2

x

)

=

c

s

x

2

x

+

cos

2

x

Step-by-step explanation:

Answer:

so cot^6 (x) =cot^4 (x) csc^2 (x)-cot^4 (x) then you just manipulate the right side cot^4(x)csc^2(x)-cot^4(x) =cot^6(x) which is true

Step-by-step explanation:

At the fair concession stand, a drink costs $1.50, and a hot dog costs $2.75. If Jacob has $18 to spend on food, how many of each item can he buy?
3 drinks and 7 hot dogs
3 drinks and 5 hot dogs
2 drinks and 7 hot dogs
2 drinks and 5 hot dogs

Answers

Answer:

Answer is D (2 drinks and 5 hotdog's)

Step-by-step explanation: 1st answer is over as it is $19.25 for only the hotdogs. 2nd is $18.50 which is a little over. 3rd one is $22.25. And the forth one is $16.75 which is perfect because he cant buy anything else with the remainder of his money.

You can use trial and error for 3 drinks and 2 drinks and can see how many hot dogs are available for Jacob to buy in $18 budget.

Jacob, with $18 dollars for food, under given conditions, can buy:

Option D: 2 drinks and 5 hot dogs.

How to decide what amount of drinks and hot dogs are obtainable in given $18 budget?

This can be modeled by mathematical expression with use of variables, and inequality.

Suppose that you can by [tex]x[/tex] drinks and [tex]y[/tex] hot dogs, then their amount should not exceed $18 and they should try to use that $18 as much as they can.

Since 1 drink costs $1.5 and 1 hot dog costs $2.75, thus,

[tex]1.5x + 2.75y \leq18[/tex]

Using trial and error for 2 and 3 drinks (we could've done fro 5 or 7 hot dogs too)

For 2 drinks:

Since x = amount of drinks = 2, thus from the obtained inequality, we have:

[tex]1.5x + 2.75y \leq 18\\1.5 \times 2 + 2.75y \leq 18\\2.75y \leq 18 - 3\\y \leq \dfrac{15}{2.75}\\\\y \leq 5.555...\\y = 5[/tex]

We took y = 5 since it is closest integer less than 5.55... since we cannot buy drink or hot dog in decimal points generally and cannot spend more than $18

Thus, if Jacob buys 2 drinks, then he can by 5 hot dogs at max.

For 3 drinks:

Since drinks' amount increased, then hot dogs amount will have to decrease to keep them together under $18. And since in 2 drinks Jacob could by 5 hot dogs, thus, now he will have to buy less than 5 hot dogs, which are not given in options.

Thus,

Jacob, with $18 dollars for food, under given conditions, can buy:

Option D: 2 drinks and 5 hot dogs.

Learn more about inequalities here:

https://brainly.com/question/11901702

Please help me 2x+y=2

Answers

Answer:

y=-2x+2

Step-by-step explanation:

Inverse of -2x+2 {x-2}{2}

Need to figure out x and y

Answers

Answer:

f(X)=7 X=1

X=2. f(X)=14

f(X)=21. X= 3

X=4. f(X)=28

X=5. f(X)=35

just substitute in the equation

I NEED HELP QUICKLYYYY
6
Consider this right triangle.
15
C с
12
B
Enter the measure of ZCAB to the nearest hundredth degree.

Answers

Step-by-step explanation:

sinA=p/h

sinA=12/15

A=sin-¹(4/5)=53.13=53°

<CAB=53°

The measure of ∠CAB is 53°.

What is Trigonometry?

The trigonometric function, which comprises the sine, cosine, tangent, cotangent, secant, and cosecant, is one of the six mathematical operations used to describe the side ratios of right triangles (csc).

As per the given data:

From the given diagram, we can clearly understand that the triangle is a right-angled triangle which is right-angled at C.

We have to find out the measure of ∠CAB.

The lengths of the sides BC and AB is also given in the diagram.

For finding out the measure of ∠CAB we can consider BC as the perpendicular and AB as the hypotenuse, and then we have to use the appropriate trigonometric ratio.

The length of the perpendicular BC = 12 units

The length of the hypotenuse AB = 15 units

For relating perpendicular and hypotenuse, we can use the sin trigonometric ratio.

sinθ = Perpendicular / Hypotenuse

sinθ = BC / AB

sinθ = 12 / 15

sinθ = 4 / 5

θ = 53°

The measure of ∠CAB is 53°.

Hence, The measure of ∠CAB is 53°.

To learn more about Trigonometry, click:

brainly.com/question/29002217

#SPJ2

Solve for c.
-2c = 8

Answers

Answer:

c = -4.

Explanation:

If you divide -2 to both sides, it should equal -4.

Answer:

c = -4

Step-by-step explanation:

8/-2 = -4

ILL GIVE 50 POINTS

Which set of statements explains how to plot a point at the location (Negative 3 and one-half, negative 2)?
Start at the origin. Move 3 and one-half units right because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between 3 and 4. Move 2 units down because the y-coordinate is -2.
Start at the origin. Move 3 and one-half units down because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units left because the y-coordinate is -2.
Start at the origin. Move 3 and one-half units down because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units right because the y-coordinate is -2.
Start at the origin. Move 3 and one-half units left because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units down because the y-coordinate is -2.

Answers

Answer:

Option 3 is right

Start at the origin. Move 3 and one-half units down because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units right because the y-coordinate is -2.

Hope this helps:)

It is B from my point of view

A line passes through the point (8, -9) and has a slope of 3/4 . Write an equation in point-slope form for this line.​

Answers

Answer:

y+9=3/4(x-8)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-9)=3/4(x-8)

y+9=3/4(x-8)

Convert the number to scientific notation.
62,004,100=
x10
+
VI
B.

Answers

0.620041 x 10^8 = 62,004,100. Hope this helps!

can someone explain how im meant to do this please? :)

Answers

Answer:

you have to do

92×98=9016

then 9016=10(here we roud to 1 signification figure)

49×138=6762

6762=6

216×876=189216

189216=1

i think it’s the answers

Look at the Screenshot and ANSWER THE QUESTION

Answers

Answer:

Graph C is the answer.

Step-by-step explanation:

From the graphs attached,

Graph A

Given graph represents a cubic function.

Graph B

This graph represents a piecewise  function.

Graph C

This graph represents an exponential function.

Graph D

Given graph represents a quadratic function.

Graph C is the answer.

pls help me thank you!
choose the best answer
3x^2-6x=29

a) no real solutions

b) one distinct, real solutions

c) two distinct, real solutions

Answers

Answer:C

Step-by-step explanation:

The Pythagorean Theorem


(if the diameter of the table is 86 inches, will it fit through a rectangular door that measures 30 inches by 84 inches?)

Answers

Answer:

No it won't

Step-by-step explanation:

Because if the length of the door is either 30 or 84 it wont fit because both of those numbers are less than 86

A farmer packs 26 apples into trays for market. Each tray holds 6 apples. How many apples are in the partly filled tray? 32 children are going camping. Three children can sleep in one tent. How many tents are needed for all the children?

Answers

2 apples in the partly filled tray, 11 tents are needed for all the children

Simplify the expression. Make sure all final answers are clearly labeled. Show all work.

3 divided by 2+√5

Answers

Answer:2 1/3

Step-by-step explanation:2+5=7 3 divided by 7 equals 2 1/3

The price of a flight was increased by 3% to £720. What was the price before the increase?
Give your answer to the nearest penny.

Answers

699.03 dollars

hope it helps

Factor the polynomial below.

x2 + 6x + 9

Answers

Answer:

Step-by-step explanation:

x²+6x+9=(x+3)²

simplify. 3(2x + 1)
a.7x
b.9x
c.6x+3

Answers

Answer:

C. 6x+3

Step-by-step explanation:

Because 3 is outside of the parentheses so it has to multiply everything inside the parentheses.

3*2x is 6x.

3*1 is 3.

This results in 6x+3.

Step-by-step explanation:

C.6x+3 thats tge answer

what is the slope of the line shown below?

Answers

Answer:

A

Step-by-step explanation:

6/3

I messed up I see what I did wrong, so I leave it hereeee

Find the area of the rectangle.. Single choice.

436 cm squared
399 cm squared
380 cm squared
417 cm squared

Answers

Answer:

399 cm squared.....Do you want explanation ??

Answer:

socratic

Step-by-step explanation:

use socratic take a pic then it searchers for you

I am not found on any ground, But always in the air; Though charged each cloud with thunder loud, You can not find me there. Now, if from France you choose to dance Your way just into Spain, I there am seen, and near the queen, In hail, in mist, and rain. What am I?

Answers

Answer:

water

Step-by-step explanation:

i can only think about that

Other Questions
can someone please help me with this (due today) For this problem, assume that the committee contains 6 men and 9 women and that three are selected at random for a subcommittee. What is the probability that the subcommittee consists of 2 men and 1 woman, given that it contains both men and women A jet plane flying 600 m/s experiences an acceleration of 4g when pulling out of the dive. What is the radius of curvature of the loop in which the plane is flying? I need two equations explain the impact this 19th-century agreement had on Africa was the former colonise became independent decades following word was 11 PLEASE HELP!! find the surface area of cuboid whose Length breadth and height are 15 CM 12 cm and 10cm respectively Part BMaria has $3,000 in the bank, has a home worth $150,000, and has a $75,000 home loan. She also has $10,000 in Investments and a $15,000student loan. What is Maria's net worth? Show your work please someone please help meWhat materials do motor neurons need to survive and how do they get those materials? Solve the system of equation 3x+2y=26 and 2x+5y=32 by the method of elimination Which sentence contains a simile?A. He was the rock of the familyB. Her finger was a woodpecker tapping on her chin.c. That is a big problem," Seth said with a sigh.d. Mindi stood stiffly like a board in a lumber yarde. Dad, you are the best father in the world," Seth said.f. You do not have to buy me something as soon as possible. Which of the following activities would be best-suited for a thinking mind map?defining priorities for a projecttaking notes from a lecture delivering a speechrecording results from web searches Which lines from Ovids "Pyramus and Thisbe" contain an example of characterization?ringed by the tall brick walls Semramishad builtso we are told.If you searched allthe East, you'd find no girl with greater charmthan Thisbe;The wall their houses shared had one thin crack,which formed when they were built and then was left;when firstlighthad banished night's bright star-fires from the skyand sun had left the brine-soaked meadows dry, Just say anything pls HELP The Romans were more maintainers of culture than inventors of culture. Agree or disagree with this statement. Which word best describes pops and coach moses? A? Demanding b) discouraging c) sentimmental d) supportive The length and width of a rectangle are shown below.50 X2x+10Please hurry You pick a card at random. You put the first card back, and you pick a second card atrandom.5 6 7 8 Alteracin del nimo producida por un sentimiento de este tipo. I need an answer as soon as possible Plz help ASAP !!!!!!!!!