The perimeter of a rectangle is 20 cm. The length of the rectangle is 3 cm less than 2 1/4 times the width. Find the dimensions of the rectangle

Answers

Answer 1

Answer:

the dimension of the rectangle is 4 cm and 6 cm respectively

Step-by-step explanation:

The computation of the dimension of the rectangle is shown below:

Given that

The perimeter of the rectangle is 20 cm

The width be x

So, the length would be 2 1 ÷ 4 x - 3 i.e.  9 ÷ 4x - 3

Now as we know that

Perimeter of the rectangle = 2 (length + width)

20 = 2 (9 ÷ 4x - 3 + x)

20 = 9 ÷ 2x - 6 + 2x

20 = 4.5x - 6 + 2x

26 = 6.5x

x = 4 cm

Now the length would be

= 9 × 4  ÷ 4  - 3

= 6 cm

Hence, the dimension of the rectangle is 4 cm and 6 cm respectively


Related Questions

HELP ME PLEASE I'll give brainiest

Answers

Answer:

111 degrees

Step-by-step explanation

Alternate int. Angles

m2. Round to the nearest hundredth
The area of the figure below is
where necessary.

Answers

Answer:

The area of the shape is 693 m^2

Step-by-step explanation:

Here, we want to calculate the area of the given shape

Mathematically, what we have to do here is to multiply the base of the shape with the height

We have this as;

21 * 33 = 693 m^2

What are a) the ratio of the perimeters and b) the ratio of the area of the larger figure to the smaller figure?

Answers

Answer:

Suppose that we have two similar figures.

Then if a given side of one of the figures has a measure M, the correspondent side in the other figure has a measure M' = k*M

Where k is the scale factor.

Then if the perimeter of the first figure is P, the perimeter of the other figure will be P' = k*P

And if the area of the first figure is A, then the area of the other figure will be:

A' = k^2*A

Then the quotient between the perimeters is:

P'/P = k

And the ratio between the areas is

A'/A = k^2

So what we need to do, is find the value k.

In the image, we can see that the base of the larger figure is 30 yd, and the base of the smaller figure is 12 yd.

If we define the smaller figure as the original one, then we will have:

M = 12 yd

M' = 30 yd

M' = 30yd = k*12yd = k*M

Solving for k we get:

k = 30yd/12yd = 2.5

Then the ratio between the perimeters is:

P'/P = k = 2.5

And the ratio of the area of the larger figure (A') to the smaller figure (A) is:

A'/A = k^2 = (2.5)^2 = 6.25

 

oday, everything at a store is on sale. The store offers a 20% discount. **NUMBERS ONLY. NO SYMBOLS.** a. The regular price of a T-shirt is $18. What is the discount price? b. The discount price of a hat is $18. What is the regular price

Answers

Answer:

Discount price of T-shirt is $14.40

Regular price of hat is $22.50

Step-by-step explanation:

The regular price, without a discount, of the T-shirt is $18. Since the store offers a discount of 20%, we must remove 20% of the price.

100%-20%=80%. So, the discount price is 80% of the regular price.

18 × 80% = 14.4

So, the discount price of the T-shirt is $14.40.

The hat, on a discount of 20%, costs $18. To find the regular price, we must multiply it by the reciprocal of 80%, which is 100/80, or 1.25.

1.25 × 18 = 22.5

So, the regular price of the hat is $22.50.

PLS HELP ME! . This pattern follows the rule multiply by 3, then subtract 4. What are the next two terms? 5, 11, 29

Answers

Answer:

83, 245

Step-by-step explanation:

Using the rule multiply by 3, then subtract 4

a₄ = 3 × a₃ - 4 = 3 × 29 - 4 = 87 - 4 = 83

a₅ = 3 × a₄ - 4 = 3 × 83 - 4 = 249 - 4 = 245

The next 2 terms are 83, 245

For the right triangle shown, whih equation can be used to find the vaule of x

Answers

Answer:

The answer is b

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:


What is the 4th equivalent fraction to 1/2?

Answers

Step-by-step explanation:

For example, 2/4 and 3/6 both are equal to ½.

...

Equivalent Fractions Chart.

Unit Fraction Equivalent Fractions

1/2 2/4, 3/6, 4/8..

1/3 2/6, 3/9, 4/12..

1/4 2/8, 3/12, 4/16..

1/5 2/10, 3/15, 4/20,

Answer:

500/1000

Step-by-step explanation:

if you happen to simplify you will get 1/2. hope it helps.good day

EFGH is a parallelogram. Find the measure of JG.




Answers

[tex] \large{ { \tt{꧁ \: A\: N \: S \: W \: E \: R \: ꧂}}}: [/tex]

Step-by-step explanation:

✧ [tex] \underline{ \underline{ \large{ \red{\tt{ \: P \: R \: O \: V \: I\: D \: E \: D\: }} }}: }[/tex]

EFGH is a parallelogram.EF = 3w & JG = w + 8

✎ [tex] \underline{ \underline{ \purple{ \large\tt{T\: O \: \: F \: I\: N \: D}}}} : [/tex]

measure of JG

Since we know , The diagonals of a parallelogram bisect each other ;

[tex] \large{\text{EF \: = JG}}[/tex]

➝ [tex] \large{ \bf{3w = w + 8}}[/tex]

➝ [tex] \large{ \bf{3w - w = 8}}[/tex]

➝ [tex] \large{ \bf{2w = 8}}[/tex]

➝ [tex] \large{ \bf{w = \frac{8}{2}}} [/tex]

➝ [tex] \boxed{\large{ \bf{w = 4}}}[/tex]

♔ [tex] \underline{ \text{Replacing \: Value}} : [/tex]

⇢[tex] \large{ \bf{JG = w + 8 = 4 + 8 = \boxed{ \bf{12}}}}[/tex]

Yayy! We found our answer ☾

⛧ [tex] \boxed{ \boxed{ \orange{\tt{Our \: Final \: Answer : \underline{ \boxed{ \tt{12}}}}}}}[/tex]

Hope I helped! ♡

Have a wonderful day / night ! ☘

Let me know if you have any queries regarding my answer ♬

⋆ [tex] \underbrace{ \overbrace{ \mathfrak{Carry \:On \: Learning}}}[/tex] ⋆

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

-6/5-2/3v+4/15+1/3v Combining like terms to create an equivalent expression

Answers

Answer:

(-1/3)v - 14/15

Step-by-step explanation:

Group the v terms together and then the constant terms:

v(-2/3 + 1/3) + (-6/5 + 4/15)

This simplifies to:

  (-1/3)v + (-18/15 + 4/15), or

   (-1/3)v - 14/15

Which value of x satisfies the inequality below?

1/3< x
A. 1/8
B. 1/4
C. 1/3
D. 1/2

Answers

Answer:

i think that its 1/2

Step-by-step explanation:

Answer:

Hi! The answer to your question is C. [tex]1/3[/tex]

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

Stay Safe!!!

- Brooklynn Deka

which polynomials are in standard form?

choose all answers that apply:

a. 3z-1
b. 2+4x-5x^2
c. -5p^5+2p^2-3p+1
d. none of the above

Answers

Answer:

A and C are the correct answers.

Step-by-step explanation:

Monomials without a variable go after the monomials with a variable. Variables with high exponents go first. A and C both show those.

In choice A, since 3z has a variable, it goes before 1. In choice C, since -5p^5 has the highest exponent it does go first. Then 2p^2, since it has the second highest exponent. Then -3p follows, with the lower exponent. Then 1 goes last because it has no variable and has the lowest exponent.

At a sale, books are sold at $90.75 each, which is 75% of the original price.

(i) what is the original price of the book?

(II) Paul buys 10 books at the sale and pays VAT of 16% on the sale price. Calculate the TOTAL amount he paid for 10 books.

Answers

Answer:

Selling Price= $90.75

(i) Original Price= $90.75/0.75= $ 121.00

(ii) 1 Book= $90.75

10 Books= $90.75*10= $907.50

Total Amount Paid= $907.50*1.16 =$1052.70

Solve the equation and check.
7y +9=5y-3
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is
(Simplify your answer.)
OB. The solution is all real numbers.
O c. There is no solution,

Answers

Answer:

y= -6  I used goo gle!!

the correct answer is y= -6

Which are similar to AJKL? Label each Yes or No.
L
м
ALKM
AJLM
ΔKML

Answers

Answer:

ΔLKM   yes

ΔJLM    yes

ΔKML   no

During a fundraiser, Ms. Dawson’s class raised $560, which is 25% more than Mr. Casey’s class raised. How much money did Mr. Casey’s class raise?
A. $420
B. $448
C. $700
D. $2,240

Answers

The answer is A. $420
Think of it this way 25% is a quarter of 100% all you have to do is divide 560 by 4 then take that answer and subtract it from 560 that will give you A. 420

Can someone help please

Answers

Answer:

b-80 d-6

Step-by-step explanation:

100% correct

1. According to the graph the

percentage score of a student that

slept for 8hours is 80%

2. The graph also show that the student which score 90%,the number of hours the student slept is 6hours

Two functions are described below

·Function 1: y is defined as a function of x by the equation y = 3 - 3x/5.

·Function 2: y is defined as a linear function of x by the table:

X Y
-5 12
-1 7.2
2 3.6
8 -3.6


Which statement is true?

A. The y-intercept of Function 2 is half the y-intercept of Function 1.
B. The y-intercept of Function 1 is half the y-intercept of Function 2.

Answers

Answer:

The answer is B

Hope this helped ;)

what is this area? marking brainliest if more than one answers and giving thanks to correct! giving thanks to who can help in general, thank you

Answers

Answer:

thirty two I think hope it's right

Answer:

57

Step-by-step explanation:

i hope its that

7x3+9x4

=57

In circle E, GH is a tangent, diameter FB and chords FD, BD, AB, and AD. Which of the statements is not true?

(answer choices in picture)

Answers

Answer is b is correct I think

If 50% of a number is 100 and 20% of the same number is 40, find 70% of that number.

Answers

I think the answer is 140

Steps:
The number is 200 as 50% of this would be 100 so in order to work out 70% you will do:
10%=20
20 x 7=(70%)140

is this relation a function

Answers

Answer:

No it isn't a function. never seen it before

Line r is parallel to line c

which angle is congruent to ∠3?
O ∠2
O ∠4
O ∠5
O ∠6​

Answers

Answer:

∠5

Step-by-step explanation:

Please help and I swear to god if another bot answers one of my questions with that stu.pid virus link I am going to lose my mind​

Answers

Answer:

x = 4

Step-by-step explanation:

In the picture : 9 is greater than or equal to 9

9 > 9

Answer:

x = 4

Step-by-step explanation:

hope this helped :)

Betsy sells laptops at an electronics store. She earns $180 a week, plus $15 for every laptop she sells. Betsy needs to earn at least $900 this week to meet her sales goal. Write and solve an inequality that can be used to determine the number of laptops Betsy needs to sell this week.

Answers

Answer:

15x + 180 ≥ 900

x ≥ 48

Step-by-step explanation:

x = amount of laptops needed to sell.

Equation:

15x + 180 ≥ 900

15x ≥ 720

x ≥ 48

Check:

15(48) + 180 = 900

720 + 180 = 900

900 = 900 (It's good, she needs to make at least 900, so she needs to sell at least 48 laptops).

In your own words make a conjecture about the relation
between the side and interior angles of
an isosceles triangle:

Answers

Step-by-step explanation:

The congruent angles of the isocels triangle's opposite sides's are congruent.

Answer YES if is a Right Triangle or NO if is not
Prove that each example below is a Pythagorean triple.
Part A: 77,420,427
Select)
Part B: 279,440,521
Select)
Part C: 39,760,761
[Select
HELP PLEASEEE

Answers

Answer:

Part A: yes

Part B: yes

Part C: yes

Step-by-step explanation:

Part A:

77² + 420² = 427²

5,929 + 176,400 = 182,329

182,329 = 182,329

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

Part B:

279² + 440² = 521²

77,841 + 193,600 = 271,441

271,441 = 271,441

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

Part C:

39² + 760² = 761²

1,521 + 577,600 = 579,121

579121 = 579,121

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

2m² + 4m - 70
Factor and please show steps ​

Answers

Answer:

5 / -7

Step-by-step explanation:

[tex]2m^{2} + 14m - 10m - 70\\2m ( m + 7 ) - 10 ( 2m - 7 ) \\therefore, ( m + 7 ) ( 2m - 10) \\or M = 5 / -7[/tex]

What is the volume of the triangular prism below? A.180 B.18 C.30 D.22.5

Answers

Answer:

30 centimetres cubed

Step-by-step explanation:

hope it helps you if you have any other question ask me it'll be a pleasure to help you good day.

I NEED HELP ASAP I WILL GIVE 15 POINTS

Answers

Answer:

G)  49.5 mph

Step-by-step explanation:

d = rt

24.75 = 0.5r

r = 24.75/0.5

r = 49.5

hi please help i’ll give brainliest

Answers

Answer:

A

Step-by-step explanation:

Other Questions
Chelsea jogged 1.3 miles every weekday and 0.7 miles on Saturday. How many miles did Chelsea jog in 2 weeks Why do critics sometimes dislike innovative artists? Please please help!!1.)Una ....... A) pared B) chico C) hombre D) pupitre2.) Un, una, etc. are....... A) adverbs B) definite articles C) weather-related D) indefinite articles3.) Los......... A) mujeres B) chicas C) chicos D) paredes4.) January 15 A) el enero quince B) el trece de enero C) el marzo quince D) el quince de enero 5.) a blue desk A) una pupitre azul B) un azul pupitre C) unos pupitres azules D) un pupitre azul Eddie wanted to know more about how the cost of fertilizer for his lawn-care business was changing. The cost of a bag of fertilizer just increased from $10 to $15. What is the percent increase of the price? help. i need help ::>- What do you think this passage is showing about the boys? Lord of the flies chapter 7 help help help help help help help help please please ABCD is a rhombus. The measure of angle need help!!!!!!!! thanks :) PART A: Write a system of linear equations to model this situation where x represents the pizza and y represents the bags of wings. Use the system to answer the following questions. HELPPPPPPPPWhat is one way that the rule of law has influenced the development of the American legal system?A. All people, including politicians and other leaders, must enact fair laws.B. Defendants are guilty until proven innocent.C. Penalties for violating civil laws are more severe than for violating criminal laws.D. Elected officials must obey constitutional laws but not statutory laws. what is vaule of y when x=4'5 what is the quotient of y and 11 Are the expressions (2)4 (4)2 equal? Explain your answer. Read the excerpts from Take the Tortillas Out of Your Poetry and Speaking Arabic.My friend had concluded that if he took his language and culture out of his poetry, he stood a better chance of receiving a fellowship. He took out his native language, the poetic patois of our reality, the rich mixture of Spanish, English, pachuco and street talk which we know so well. In other words, he took the tortillas out of his poetry, which is to say he took the soul out of his poetry.At a neighborhood fair in Texas, somewhere between the German Oom-pah Sausage Stand and the Mexican Gorditas booth, I overheard a young man say to his friend, I wish I had a heritage. Sometimes I feelso lonely for one. And the tall American trees were dangling their thick branches right down over his head.Which structural element is used in the excerpt by Anaya but not in the excerpt by Nye?a) pathosb) anecdotec) toned) logos 3 x f(4)3 x g(2)= Write an expression equivalent tob10/b5in the form bm. According to a recent survey, 24 studentswalk to school. These students represent 30%of the students who took the survey. Howmany students took the survey? (Use a modelto solve the problem.) Any helpers? Will give brainliest!! giving brainliest!links=reported PLZ HELP! QUESTION IS BELOW! :d