A large rectangle is made by joining three identical small rectangles as shown.

The perimeter of one small rectangle is 21cm. The width of one small rectangle is x cm.

Work out the perimeter of the large rectangle. The final line of your answer should be the form, perimeter of large rectangle is ...cm

A Large Rectangle Is Made By Joining Three Identical Small Rectangles As Shown. The Perimeter Of One

Answers

Answer 1

Answer: 35 cm

Step-by-step explanation:

As shown in the image attached, the A large rectangle is made by joining three identical small rectangles,

The width of one small rectangle is x cm and the length of one small rectangle is 2x cm. Therefore the perimeter of the small rectangle is given as:

2(length + width) = Perimeter

2(2x + x) = 21

2(3x) = 21

6x = 21

x = 21/6 = 3.5 cm

x = 3.5 cm

From the image attached, the width of the large rectangle is 2x (x + x) and the length is 3x (2x + x). Therefore, the perimeter of the large rectangle is:

2(length + width) = Perimeter

2(3x + 2x) = Perimeter

Perimeter = 2(5x)

Perimeter = 10x

Perimeter = 10(3.5)

Perimeter = 35 cm

Step-by-step explanation:


Related Questions

Dan, Richard and Nick share £70 in a ratio 1:3:1. How much money does each person get?
Dan:
£

Richard:
£

Nick:
£

Answers

Answer:

dan 14 Richard 42 nick 14

What is the answer I need it ASAP

Answers

Answer:

the 1st one!

Step-by-step explanation:

order the numbers from least to greatest -20 3/4 -14 3/4 -1/4 and -15 1/2​

Answers

Answer:

3/4 3/4 1/2 1/4 -14 -15 -20

Step-by-step explanation:

Answer:

-20,-15,-14,-1/4,1/2,34

Step-by-step explanation:

Laura bought some books. She spent a total of $71 after a discount of $5 off of her total purchase. Each book cost $4. How many books did she buy?


Answers

Answer:

4b-5=71

19 books

Step-by-step explanation:

b represents books, and 4 is the cost, so the cost (4•19) minus the discount (-5) equals 71 and solves the equation

Solve the proportion. 8/11 = 4/y + 2

Answers

Answer:

The answer is Y = - (22)/(7 )

Step-by-step explanation:

The parenthesis do not mean anything write 22/7 as a fraction.. why did you report my answer so rude

Lourdes recorded in this table the change in her dog's weight, in ounces, each month. Which statement can be suppor by the data in the table? Change in Dog's Weight January February March April May +6 +4 -2 +1 -5

A) Lourdes dog gained weight in more months than it lost weight because there are more positive numbers than ne numbers.

B) Lourdes' dog lost weight in more months that it gained weight because the digit 5 is the greatest digit and it is a ne number.

C) Lourdes dog gained weight every month because it is getting older.

D) Lourdes dog lost weight every month because the change in May is a negative number.​

Answers

Answer:

A). Lourdes dog gained weight in more months than it lost weight because there are more positive numbers then negative numbers

A photographer charges $25 to travel to a client's location, plus $55 per hour for her
services. What is the duration, in hours, of a photography session that costs $465?

Answers

Answer:

8 Hours

Step-by-step explanation:

First, you have to subtract the 25$ because we already know that that is a stable value (meaning it will not change)

Then, you have to divide 440 by 55 to get an answer of 8 hours for the session :D

To find total multiply 55 by number of hours (h) and then add 25:

Total = 55h + 25

Given the total solve for h:

465 = 55h + 25

Subtract 25 from both sides

440 = 55h

Divide both sides by 55

H = 440/55

H = 8

It was 8 hours

In equilateral triangle ABC above, y =
(A) 40
(B) 60
(C) 70
(D) 75
(E) 80

Answers

Answer:

60°

Step-by-step explanation:

In an equilateral triangle all sides are equal so as all angles are same,

3 sided fig. 180÷3= 60°

What is an equation in point-slope form the line that passes through the point (-3,5) and (2,-3)?

Answer
Y-5=-8/5 (x+3)

Answers

Answer:

Y-5=-8/5 (x+3)

Step-by-step explanation:

Answer:

Y-5=-8/5 (x+3) good luck

Daniel plays two games in the casino. The first game he believes he has 60% chance to win. If he wins the first game, he will win the second game with 25% chance, if he loses the first game, he will win the second game with 75% chance. The winning prices for the first and second game are $1 and $2 respectively
A. What is the probability that he wins the second game?
B. If he wins the second game, what is the probability that he also won the first game?
C. What is the expected value for the price he wins from the two games? What is the variance of it?

Answers

Answer:

1) the probability that he wins the second game is 0.45

2) the probability he wins the first game given that he won the second game is 0.333  

3) Expected Value is $ 1.5 and the variance is 0.75

Step-by-step explanation:

Given the data in the question;

Let Win1 represent first game victory

and Loss1 represent first game loss

Let Win2 denote second game victory

and Loss2 denote second game loss

now from the Tree diagram of Daniel;

P ( Win1 ) = 0.6

P ( Loss1 ) = 0.4

P ( Win2 | Win1 ) = 0.25

P ( Loss2 | Win1 ) = 0.75

P ( Win2 | Loss1 ) = 0.75

P ( Loss2 | Loss1 ) = 0.25

1) probability that he wins the second game will be;

P ( Win2 )  =  [P ( Win1 ) × P ( Win2 | Win1 )] + [P ( Loss1 ) × P ( Win2 | Loss1 ) ]

we substitute

= [0.6 × 0.25] + [0.4 * 0.75] = 0.45

Therefore the probability that he wins the second game is 0.45

2)

If he wins the second game, what is the probability that he also won the first game  will be;

{From Bayes' Theorem}

P ( Win1 | Win2 )  =  P ( Win1 ) × P ( Win2 | Win1 ) / P ( Win2 )

= 0.6 × 0.25 / 0.45 = 0.333  

Therefore the probability he wins the first game given that he won the second game is 0.333  

c)

winnings       probability

$0                  0.4 × 0.25 = 0.1

$1                   0.6 × 0.75 = 0.45

$2                  0.4 × 0.75 = 0.3

$3                  0.6 × 0.25 = 0.15

so Expected Value = ∑( winnings × individual win probability)

=  (0 × 0.1) + (1 × 0.45) + (2 × 0.3) + (3 × 0.15)

= 0 + 0.45 + 0.6 + 0.45

= $ 1.5

Variance = ∑( X² ) - (∑(X))²

∑( X² ) = Summation of ( Winnings² × Probability of Each Win )

so

Variance = 0 × 0 × 0.1 + 1 × 1 × 0.45 + 2 × 2 × 0.3 + 3 × 3 × 0.15 - ( 1.5 )²

Variance = 0 + 0.45 + 1.2 + 1.35 - 2.25

Variance = 3 - 2.25

Variance = 0.75

Therefore Expected Value is $ 1.5 and the variance is 0.75

Slope for (-5,-1) (5,0)

Answers

Answer:

(0-(-1))/(5-(-5)) = 1/10

What is the y-intercept of the graph of 4y = 2x + 8?
4
2
6
00
N

Answers

Answer:

2

Step-by-step explanation:

4y = 2x + 8

First get the equation in slope intercept form  y= mx+b where m is the slope and b is the y intercept

Divide each side by 4

4y/4 = 2x/4 +8/4

y = 1/2x +2

The slope is 1/2 and the y intercept is 2

Answer:

2

Step-by-step explanation:

Manipulate your equation into slope-intercept form: y = mx + b, where b is the y-intercept.

To do this, divide 4 from both sides:

[tex]y=\frac{1}{2} x+2[/tex]

b = 2

Given that the triangles shown below are similar, what is the value of x?
D
32
40
16
20
H
48
M
P
X
L
A. 20
O
B. 10.7
O
C. 96
O D. 24

Answers

Answer:

the answer is D. 24

Step-by-step explanation:

the smaller triangle is half the size of the bigger triangle so just divide 48 by 2

Answer: D

Why?

Question tells you that both triangles are similar, but the obvious difference is that one is smaller than the other.

As u can see HA = PD
32 = 16
The difference is 2

By dividing the value of HM (which is 48) u can get the answer 24.

Therefore the answer is D

Jada will draw two scale drawings of the same object on 1-cm grid paper. Each centimetre will represent a greater distance in the second
drawing than in the first. Jada claims that the lengths in the second drawing will be longer than the lengths in the first drawing. Do you agree? Give an example of a scale and a measurement to support your answer.

Search entries or author

Answers

Answer:

Jada is wrong. For example, say Jada is drawing scaled versions of a 10x10 yard square. In her first drawing, 1 centimeter = 1 yard, so the drawn square is 10x10 centimeters. In her second drawing, 1 centimeter = 2 yards, which is greater, like the problem says. This drawing will be only 5x5 centimeters, meaning the lengths will be smaller as each centimeter represents a greater number of yards.

How do I turn a decimal into a whole number? :)

Answers

There is a confusion here. “Decimal” is not a number set. “Whole numbers” is.

“Decimal” has been used to mean three different things about the representation of numbers:

- Numbers written using a base 10 place value system

- The decimal point that separates the integer and fractional parts of a number written in base 10. (Some countries use a comma. Some folks refer to the point used for this purpose in other bases as a decimal too for extra confusion.)

- A number written in the above form that has some numerals, probably nonzero, written to the right of the point. In other words, a number written in decimal form with a nonzero fractional part.

I'm guessing that the usage in this question is referring to the third meaning of “decimal” and will interpret the question as being not about representation of numbers but about transformation of numbers.

To wit, “What are some popular ways real numbers with nonzero fractional parts can be mapped to integers?”

I hope this is the correct interpretation.

There are a few common ways:

- Round towards zero: Ignore the fractional part and keep only the integral part.

- Floor: Take the greatest integer less than the number in question.

- Ceiling: Take the least integer greater than the number in question.

- Round to the nearest integer: Ignore the fractional part if it's less than a half. Otherwise, round away from zero.

These are the main ways of picking integers close to the number in question, but obviously, there are infinitely many ways to map sets of real numbers to mergers, so it is unclear if any of these are what the asker was looking for.

Answer:

if the number after the decimal is 5 or more then round the number before decimal by 1

Step-by-step explanation:

for example:

1234.5

=1235

or

6974.7

=6975

or

7796.4

=7796 (No change on the last number because the number after the decimal is 4, which is under 5)

What is the range of h

Answers

“B” is the answer I think

Melissa has started training for a race. The first time she trains, she bikes 5 miles. Each subsequent time
she trains, she bikes 0.5 mile farther than she did the previous time.
a) Use summation notation to write an arithmetic series to represent the total distance Melissa has biked
after she has trained n times. (2 points)
b) Use the formula for a partial sum of the series you wrote in part a, above, to answer this question: What
is the least number of times Melissa must bike for her total distance biked during training to exceed 60
miles? (3 points)

Answers

It’s 59000000000099999999 miles

Answer:

55

Step-by-step explanation:

plz help! WILL GIVE BRAINLIEST

Answers

Answer:

3x+7=y

Step-by-step explanation:

Find the distance across the bridge

Answers

It’s a bridge-length

I’ll make you brainliest:Which shows the equation 12x + 4y = 480
in general form?

Answers

Answer:

y = -3x + 120

Step-by-step explanation:

Hope this helps!

If there are 13 pretzels in each cup, How many pretzels does He eat?

Answers

How many cups are there? You are missing information.

Answer:

Step-by-step explanation:

A person invests 4000 dollars in a bank. The bank pays 6.25% interest compounded
annually. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 9600 dollars?

Answers

Answer:

14.4

Step-by-step explanation:

Given that :

Principal = 4000

Interest (r) = 6.25% compounded annually

Calculate time, t, if final amount A = 9600

Using the compound interest formula :

A = P(1 + r/n)^n*t

A = final amount

n = number of times interest is applied per period

9600 = 4000(1 + 0.0625)^t

9600 = 4000(1.0625)^t

9600/4000 = 1.0625^t

2.4 = 1.0625^t

Take the log of both sides

0.3802112 = 0.0263289t

t = 0.3802112/0.0263289

t = 14.440811

t = 14.4 ( nearest tenth)

PLZ HELP WILL GIVE BRAINLIEST

Answers

the answer is c

Step-by-step explanation:

it is because you have to times 3 and 4 and 3 and 9

Answer:

The answer is 27/ 12x - 9 = 28

Step-by-step explanation:

All you have to do is multiply 3 X 4x and gives you 12x and multiply 3 X 9 and gives you 27.

3 ( 4x - 9 ) = 28 = 12x - 27 = 28

Hope this helped.

♡(ŐωŐ人)

ANYONE WANNNA HELP MATH!!!!! HRW BTW

Answers

Answer:

1/4 off

Step-by-step explanation:

1/4 is 0.25. 0.25 times 100 is 25. It would be 25% off. 25 is more than 20 and why buy 3 to get 1 free. Hope this helps!!!! Let me know if i'm right please.

carly mowed 2 more lawns than Roco each week for 6 weeks. carly mowed a total of 18 lawns. how many did Rocco mow each week?

Answers

Answer:

Rocco mowed 1 lawn a week.

Step-by-step explanation:

If Carly mowed 18 lawns in six weeks that’s 3 lawns a week and 3-2=1.

Thus Rocco mowed 1 lawn a week.

How many 5/8 inch binder clips, laid side by side, make a length of 11 1/4 inches?

Answers

Answer:

18

Step-by-step explanation:

Because 5/8×18 is 11 1/4

Answer:

what he said

Step-by-step explanation:

How much cinemeters is 5 inches

Answers

Answer:

5 inches is equal to 12.7 centimeters.

Step-by-step explanation:

There is 2.54 centimeters in an inch so just multiply that by 5 and you get 12.7.

Answer:

12.70 cm hope it is right

Step-by-step explanation:

A tank is being filled up with water. At t=0, we know that the tank holds 150 gallons of
water, and after one hour ( t=1) , it holds 180 gallon of water.

Answers

Answer:

What is the question?

Step-by-step explanation:

Answer: The initial value is 150 and the rate of change is 30

150+30x=y

What is the equation of this line

Answers

Answer:

Y= 2x

Step-by-step explanation:

Two points in that graph are (1,2) and (2,4). you have to do rise over run so 4-2 over 2-1 and the answer is 2/1 or just two.

Help please this is urgent

Answers

Answer:

1.55 = Toni(2)

1.56 = Morgan(1)

1.53 = Pat (3)

Step-by-step explanation:

Is it most to least because that is what i did?

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