The perimeter of a rectangle is 52 cm. If its width is 2 cm more than one-third of its length, find the dimensions of rectangle.

(A) 12 cm x 4 cm (B) 18 cm x 8 cm (C) 15 cm x 9 cm

Answers

Answer 1

Answer:

(B) 18 cm x 8 cm

Step-by-step explanation:

let the length be x,

then the width is [tex]\frac{1}{3}[/tex]x + 2

2( [tex]\frac{1}{3}[/tex]x + 2 + x ) = 52

[tex]\frac{1}{3}[/tex]x + 2 + x  = 26

[tex]\frac{4}{3} x[/tex] = 24

x = (24*3)/4

x = 18

then the length is 18 cm

and width is (1/3)*18 + 2 = 8

Therefore the dimensions are length:width = 18 cm : 8 cm

Answer 2

Answer:

(B) 18cm x 8cm

Step-by-step explanation:

Perimeter of a rectangle  =  52 cm

2(length + width)  =  52 ==>  l + w  =  26

Let x be the length

width  =  (x/3) + 2

x + (x/3) + 2  =  26

[(3x + x)/3]  + 2 =  26

4x / 3  =  24

4x  =  24 (3)

x  =  6(3) ==>  18 cm

Width  =  (18/3) + 2

=  6 + 2  =  8 cm

So, the required dimension is 18 cm x 8 cm.


Related Questions

PLEASE HELP THIS IS URGENT PLEASE!!!!!!!!!!!
The following steps were used to simplify the expression 4(3 +1/4).

4(3 +1/4)

4 · 3 + 4 · 1/4

12 + 1

13

Which of the following properties were used to simplify this problem? Not all steps required using a property.

distributive property and multiplicative inverse
distributive property and multiplicative identity
associative property and commutative property
associative property and multiplicative inverse

Answers

Answer:

13

Step-by-step explanation:

[tex]4(3 + \frac{1}{4} )[/tex]

multiply 4 by all the numbers in brackets

4 × 3 = 12

4 × ¼ = 4 ÷ 4 × 1 = 1

[tex]4( 3 + \frac{1}{4} ) = 12 + 1[/tex]

[tex]12 + 1 = 13[/tex]

_________________________

PLEASE I NEED HELP!!!!!!!!!!!!! I HAVE AN F AND I NEED HELP
I PUT ALL POINTS

Answers

-2< don’t fill in the circle

Solve the equation:

1/3=n + 3/4

And please explain how you got the answer!

Answers

Answer:

n = -5/12

Step-by-step explanation:

1/3 = n + 3/4

Now, get equal denominators:

4/12 = n + 9/12

Now, solve:

n = -5/12

Hopefully this helps!

Brainliest please?

4) A tree casts a 25-foot shadow. At the same time of day, a 6-foot man standing near the tree casts a 9-foot shadow. What is the height of the tree, to the nearest foot?

Answers

Answer:

22 feet shadow, I'm sorry if this is incorrect-

What is the midpoint of the line segment graphed below?

Answers

Answer:

option A [tex](4, \frac{7}{2})[/tex] is the midpoint.

Explanation:

To find midpoint: [tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]

We shall use this formula here:

[tex](\frac{9+-1}{2}, \frac{5+2}{2})[/tex]

[tex](\frac{8}{2}, \frac{7}{2})[/tex]

[tex](4,3.5)[/tex]



1.
Carly has 35 pens in her pencil case and 20% don't work. How many don't work?

Answers

Answer:

35/5=7 ez math why are you asking

A charm bracelet costs $65, plus $25 for each charm. The equation -25x+y=65 represents the cost y (in dollars) of the bracelet, where x is the number of charms.

a. Graph the equation.
b. How much does a bracelet with three charms cost?

Answers

Answer:

  a.  see attached

  b.  $140

Step-by-step explanation:

a.

The graph starts at y=65 when x=0 and increases by 25 for each increase of 1 in x. The attachment shows a graph of the equation.

__

b.

Use x=3 in the equation.

  -25x +y = 65

  y = 65 +25x = 65 +25(3) = 140

A bracelet with 3 charms costs $140.

Select the correct answer.
What is the solution for x in the equation?

-4 + 5x − 7 = 10 + 3x − 2x

A. x = 21/4

B. x = 4/21

C. x = 4/13

D. x = 13/4

Answers

Answer:

Its A x=21/4

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable


Jessica Johnson is running for mayor of a small city in Florida. She needs at least 51% of the votes to win.
Her campaign wanted to make a prediction about whether or not she will win. She hires ten polisters to each
ask 100 randomly selected voters if they will vote for her. The pollsters' results are below.
Poll number
1
2
3
4
5
Yes votes
51
68
58
43
65
Poll number
6
7
8
9
10
Yes votes
56
45
59
71
63
Use this information to correctly complete the statement below. From the drop-down menus, select a
prediction and the best justification for that prediction based on the data.
Jessica should predict that she will
because

Answers

Answer:

I dont really know if i understand the problem fully but i hope this is what you are looking for:

Step-by-step explanation:

A prediction for yes votes you round all the results and add = 300 real answer: 285

Poll number: 50, real: 40

Yes votes (#2) 290, real: 294

In conclusion you get 300, 50, 290 I think.

1. Amello has $25 to spend on maceuo this week. She loves lipstick och lostics . tube costs $4. What is the monimum number of lost'oks that she can
look at the pictures
one step inequality word problems​

Answers

Answer:

1. 4x ≤ 25

⇒ x ≤ 6.25

2. x + 4 < 25

⇒ x < 21

3. x + 4 ≥ 25

⇒ x ≥ 21

4. 4 + x ≤ 25

⇒ x ≤ 21

Step-by-step explanation:

1. 4x ≤ 25

⇒ x ≤ 6.25

2. x + 4 < 25

⇒ x < 21

3. x + 4 ≥ 25

⇒ x ≥ 21

4. 4 + x ≤ 25

⇒ x ≤ 21

A box of 125 packets of artifical sweetener sells for 3.99
The 100 packs box is on sale in another store for 3.00
which is the better buyyer

Answers

Answer :

2nd  One

Explanation : 1st Is 498.75 And 2nd One Is 300.00

Given that AOB, COD, and EOF are straight lines, Find the value of 'a' of the following figures. C F 2aº За°— 10° А. B O 4a°-17° E D​

Answers

Answer:

2a + 4a-17 + 3a - 10 = 180

9a - 27 = 180

+27

9a. =207

÷9

a= 23

Check:

2x23=46

4x23 - 17 =75

3 x 23 - 10 =59

Angle on straight lines adds to 180 (46+75+59=180)

Hope this helps!

A container holds 62 cups of water. How much is this in gallons?
Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.

Answers

Answer:

3.875

Step-by-step explanation:

I just kinda know I'm good with cups and gallons

Dad caught 22 fish in the morning. He threw 5
back because they were too small. He caught 12
more in the afternoon. How many fish did dad
have then?


Is 29 the answer to this problem.

Answers

He caught 22 but put 5 back so had 22-5 = 17 fish

He then caught 12 more for a total of 17 + 12 = 29

Answer: 29 fish.

Answer:

The answer is 29 (so you were right!)

Step-by-step explanation:

He had 22 fish, and he threw 5 back

22 - 5 = 17

He caught 12 more in the afternoon

17 + 12 = 29

So, 29 is your answer.

How to do
Please add explanation ​

Answers

Answer:

x=1÷x+1

NOW

or,x=1÷×+1

or,xsquare=1÷1

or,xsquare=1

or,h=1 answer

A novelty store sells 8 comic books for every 3 action figures. On
Monday, they sold 32 comic books. On Tuesday, they sold 18 action
figures. What is the difference between the number of action
figures sold on Monday and Tuesday? Explain.

Answers

Answer:

Step-by-step explanation:

THE answer is 6

First Calculate the number of action figures sold on Monday:

8 comic books for every 3 action figures

32 comic books =? action figures

8 x 4 = 32

so, 3 x 4 = 12 action figures sold on Monday

next Find the difference between the number of action figures sold on Monday and Tuesday

They're asking for the difference, so you subtract

18 - 12 = 6

Hence, the difference in the number of books on Monday and Tuesday is 6

please help me... I will give brainlist

Answers

Answer:

C

Step-by-step explanation:

609/504 = 1.208333333

58/48 = 1.208333333

They are proportional since they divide to the same number.

A rectangular field is ten times as long as it is wide. If the perimeter of the field is 1540 feet, what are the dimensions of the field?

Answers

Answer:

700 by 70

Step-by-step explanation:

The equation for perimeter is 2(l + w). Since the length has an assigned value, l will become 10w.

2(10w + w) = 1540

First, add the parenthetical expression to get 11w.

2(11w) = 1540

Now, DISTRIBUTE! 2(11w) becomes 22w.

22w = 1540

Lastly, divide by 22 to get 70. You can also say that this could be 22w = 154 * 10. 22 * 7 is 154 (140 + 14), and 7 * 10 is 70.

w = 70

Now that we know the width, substitute 70 for w in the 10w expression.

l = 10(70)

Just multiply and you'll get 700.

l = 700

Now we know the dimensions to be 700 * 70 (or 70 * 700; I just prefer to put the length first)

PLEASE ANSWER MY QUESTION PLSSSS, ITS ALMOST DUE, CORRECT ANSWER GETS BRAINLIEST​

Answers

Answer:

D

Step-by-step explanation:

D)

13% of x is 2600

13% = 13/100

⇒ (13/100)x = 2600

⇒ 13/100 = 2600/x

FYI A) gives the same value of x as D)

Normal Distribution (Standard deviation)
Image attached! Due in 1 hour! please help!

Answers

I don't know what kind of calculator you have at your disposal, so I'll just give one way of computing the sample mean and standard deviation.

• To get the mean, add up all the data points and divide the total by the number of data:

[tex]\bar x = \displaystyle \sum_i \frac{x_i}n = \frac{1243+1264+\cdots+1275}9 \approx 1273.89 \\ \implies \boxed{\bar x \approx 1274}[/tex]

• To get the s.d. s, first compute the variance s² by adding up the squared difference between each of the data points and the sample mean, and divide the total by 1 less than the number of data:

[tex]s^2 = \displaystyle \sum_i \frac{\left(x_i-\bar x\right)^2}{n-1} = \frac{(1243-1274)^2+(1264-1274)^2+\cdots+(1275-1274)^2}8 \approx 1211.61[/tex]

The s.d. is the square root of the variance:

[tex]s^2 \approx 1211.61 \implies s \approx 34.8082 \implies \boxed{s\approx 35}[/tex]

The 90% confidence interval for the sample mean has upper and lower limits, respectively, of

[tex]\bar x \pm \dfrac{\left|Z_{\alpha/2}\right| s}{\sqrt n}[/tex]

(positive root for upper limit, negative root for lower limit)

where [tex]Z_{\alpha/2}[/tex] is the critical value for a (1 - α)×100% confidence level. By critical value, I mean

[tex]\mathrm{Pr}\left[ Z \le Z_c \right] = c[/tex]

where Z is a random variable following the standard normal distribution.

In this case, we have a 90% confidence level, so α = 0.1, and the critical value is [tex]Z_{0.05} \approx -1.64[/tex]. Then the confidence interval has upper limit

[tex]\bar x + \dfrac{\left|Z_{0.05}\right|s}{\sqrt n} = 1274 + \dfrac{1.64 \times 35}{\sqrt9} \approx 1292.97 \approx \boxed{1293}[/tex]

and lower limit

[tex]\bar x - \dfrac{\left|Z_{0.05}\right|s}{\sqrt n} = 1274 - \dfrac{1.64 \times 35}{\sqrt9} \approx 1254.8 \approx \boxed{1255}[/tex]

What is the simplest form of √x^15? A. x^6√x^3 B. x^7 C. x^7√x D. x^6√x

Answers

Answer:

c. [tex]x^7\sqrt x[/tex]

Step-by-step explanation:

Find the largest square factor of [tex]x^{15}[/tex], which is [tex]x^{14}=(x^7)^2[/tex]. This gives [tex]\sqrt{x \cdot (x^7)^2[/tex]. Taking the square factor out gives [tex]x^7 \sqrt x[/tex], or choice c.

Help me please if you can

Answers

Answer:

3 1/8

Step-by-step explanation:

3 1/2 can also be represented as 3 4/8. Knowing this, we can apply it to the equation.

6 5/8 - 3 4/8

= 3 1/8 or 25/8

find the number pairs of 48 and 56

Answers

Answer:

Find the number pairs of 48 and 56

GCF of 48 and 56 by Listing Common Factors

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56.

[tex]TextFromYourMrEx[/tex]

#CarryOnLearning

What is the perimeter and area of the shape.

Answers

Answer:

peremiter is=35        Area is=3780

Step-by-step explanation:

What is the area of the composite figure?

○ 40cm^2
○ 65cm^2
○ 52.5cm^2
○ 60cm^2​

Answers

Answer:

C. 52.5cm^2

Step-by-step explanation:

Area of a triangle - A=1/2bh  or  area=1/2 base times height

Area of a rectangle -  A=lw   or area=length times width

Separate the shapes first, you would draw a line between the two if this was on paper.

Find the separate areas.
Rectangle area:

8*5=40

Triangle area:

find the height first. the height of this triangle is the same as the length of the rectangle minus the 1 and 2 cms.

8-1-2=5

1/2*5*5=12.5

Now add the areas:

40+12.5=52.5cm^2

The equation, y = 3.5x,
represents th
le number of
books, y that Amanda read
in x, months. The number of
books Hunter read in a
month is gi
table
belowThe equation, y = 3.5x,
represents the number of
books, y that Amanda read
in x, months, The number of
books Hunter read in a
month is given in the table
below.

Answers

Answer:

y = 4x

Step-by-step explanation:

Amanda: y = 3.5x

Hunter:

      x             y      

      1              4      

      3             12    

      5             20    

y = (?)x

4 = (4)1

12 = (4)3

20 = (4)5

write 3/8 as a decimal and percentage.

Answers

Answer:

as a decimal- 0.375

as a percentage- 37.5%

Step-by-step explanation:

schoolwork helps

As a decimal: 0.375
As a percentage: 37.5%

Can the sides of a triangle have lengths 4, 7, and 10?
yes
no

Answers

Answer:

i kinda like ixl but the answer is yes

Step-by-step explanation:

Yes these side lengths can make a triangle

The triangle side length rule states that any 2 sides of a triangle are greater than the other side.

Let's use this rule to determine if these side lengths can make a triangle.

4+7=11 and 11 is greater than 10.

4+10=14 and 14 is greater than 7.

7+10=17 and 17 is greater than 4.

These side lengths can make a triangle.

In a pair of vertical angles one
angle measures 46° and the
other is (2x+7)º. Determine the
value of x.

Answers

Answer:

19.5

Step-by-step explanation:

We are given the pair of angles are vertical angles, meaning they are congruent or equal. We can use this to set up an equation to solve for x...

46=2x+7

Subtract 7 from both sides

39=2x

Divide both sides by 2

x=19.5

Geometry: Mathematical proofs

Answers

Answer:

B

Step-by-step explanation:

<3 and <2 are on a straight line.a straight line is 180° .so <3 +<2=180.angles which add up to 180 ° are said to be supplement

The best statement in geometric proof that proves the theorem that vertical angles are equal [tex]\angle2 + \angle3 = 180^{\circ}[/tex]  because ∠2 and ∠3 are linear pair.

In the given proof, where the angles are labeled as ∠1, ∠2, ∠3, and ∠4,  demonstrate the equality of vertical angles by utilizing the concept of a linear pair:

Step 1: Given two lines intersect.

Step2:

State that ∠1 and ∠2 are adjacent angles, as they share a common side.Introduce the concept of a linear pair, which states that if two angles form a straight line, their measures sum up to 180°. Since ∠1 and ∠2 form a straight line, their measures sum up to 180 degrees. Express the equation:                                                                             [tex]\angle1 + \angle2 = 180^{\circ}[/tex].

Step 3:

Demonstrate that ∠2 and ∠3 are also adjacent angles, sharing a common side.Apply the linear pair concept to ∠2 and ∠3, resulting in the equation: [tex]\angle2 + \angle3 = 180^{\circ}[/tex].

Step 4:

By comparing the equations  [tex]\angle1 + \angle2 = 180^{\circ}[/tex] and  [tex]\angle2 + \angle3 = 180^{\circ}[/tex], deduce that ∠1 and ∠3 are equal angles.

By following this step-by-step geometric proof,  establish that the best statement to prove the theorem "Vertical angles are equal when two lines intersect" is the statement that defines vertical angles as "Vertical angles are formed by adjacent angles sharing a common side

Learn more about geometric proofs here:

https://brainly.com/question/2065148

#SPJ6

Other Questions
Jemma surveyed the students at her school to find out if they like the beach and/or the mountains for vacation. The table below shows the results of the survey: Like Beach Do Not Like Beach Total Like Mountains 36 28 64 Do Not Like Mountains 56 38 94 Total 92 66 158 If a student does not like the mountains, what is the probability that student also does not like the beach? 39. 1% 40. 4% 59. 5% 60. 8%. Benjamin Harrison was the grandson of which US President?aWilliam JohnsonGrover Cleveland HarrisonHank HarrisonOdWilliam Henry Harrison Tania looks up the address of her nearest Target so she can go shopping. She can utilize maintenance Blank 1 to keep the addressin her working memory. Which of the following is not added to the basic part of a word?O prefixO rootO suffix Describe india in terms of its exact position (degrees minutes and seconds) The cost of car repair includes labor and parts. Labor is 70% of the total cost. The cost of labor for a certain repair is $406. What is the total cost of the car repair? Angles A and B are supplementary. Angle A measures (2x + 20).Angle B measures 130 degrees. Solve for X Find the area of a regular octagon with an apothem of 8. 45 cm and a side length of 7 cm. (round to the nearest whole number) a) 59 cm2 b) 118 cm2 c) 237 cm2 d) 473 cm2. HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!! Explain the historical circumstances that led to the Holocaust in Europe help plz ill give brainliest can be more than 1 answer what is joint sector investment. Marvin wrote a decimal on the whiteboard. The value of the 6 in Marvins decimal is equal to 1/10 of 0.06. Which of the following numbers could be Marvins decimal? A) 63.576 B) 63.657 C) 63.679 D) 63.960 READ: Please leave a reasoning/explanation. You don't need to give a full paragraph of your explanation What were Americans looking for in a President in 1932? When was the last time phil predicts an early spring. Modern-day hipsters are an example of:A. ethnocentricityB. countercultureC. subcultureD. high culture what is the relationship between distance, average speed and time pls help me asap i'll give brainliest What did the British bring to India that would lead its native people to demand independence in the 19th century?fair economic policiesa European educationthe Christian belief systemtechnology and industrial jobs Art mentions that the players that are being drafted are a part of the problem. According to systems theory, drafted players are