The sides of a rectangle are in the ratio 4 : 3. If the perimeter of the rectangle is 210, find its area

Answers

Answer 1

Answer:

2700

Step-by-step explanation:

Perimeter of rectangle= 2(length +breadth)

2(length +breadth)= 210

length +breadth= 210 ÷2

length +breadth= 105

Since the length of the rectangle is usually taken to be the longer side of the rectangle,

length: breadth= 4: 3

[tex] \frac{length}{breadth} = \frac{4}{3} [/tex]

[tex]length = \frac{4}{3} (breadth)[/tex]

[tex] \frac{4}{3} (breadth) + breadth = 105[/tex]

[tex] \frac{7}{3} (breadth) = 105[/tex]

breadth

[tex] = 105 \div \frac{7}{3} [/tex]

[tex] = 10 5\times \frac{3}{7} [/tex]

= 45

length +breadth= 105

length +45= 105

length

= 105 -45

= 60

Area of rectangle

= length ×breadth

= 45 ×60

= 2700


Related Questions

Find the perimeter.Simplify your answer.

Answers

Answer:

24x - 6

Step-by-step explanation:

Perimeter = 2(8x - 3) + 2(4x)

Perimeter = 16x - 6 + 8x

Perimeter = 24x - 6

-Chetan K

Can someone pls help me

Answers

Answer:

360-140-80=140

So 140 degrees is the answer

Answer:

The answer is 140%

Step-by-step explanation:

Give me brainlest please

THE ANGLES OF THE TRIANGLE ARE IN THE RATIO 5:3:7. THE TRIANGLE IS,
a. an acute angled triangle
b. an obtuse angled triangle
c. a right angle
d. an isosceles triangle

Answers

Answer:

a. acute

Step-by-step explanation:

the angles are 60° 36° 84°

all less than 180° and 90°

Graph the compound inequality on the number line.
X ≤4 or ≥ 7

Answers

Answer:

The number line is attached.

Step-by-step explanation:

The holes are filled in since they are both inclusive of the value they hold, and there are two separate lines since they are broken apart by "or".

Write the ratio as a fraction in simplest form which whole numbers in the numerator and denominator 4 to 36

Answers

Answer:

1:9

Step-by-step explanation:

4:36

4 divided by what can be divisible by 36 too?

4 itself can.

4 divided by 4 is 1 and 36 divided by 4 is 9

1:9

Greatest comm
Find the greatest common factor of 80 and 20.

Answers

Hello there!

The GCF of 80 and 20 is 20.

Because both numbers are evenly divisible by 20; this is their greatest common factor (GCF)

Therefore, the GCF is 20.

Hope this helps you!

~Just a felicitous girlie

#HaveAnAwesomeDay

[tex]SilentNature[/tex]

Determine the x-intercepts of the quadratic function g(x)=x2-9x+20

Answers

Answer:

The x-intercepts of this quadratic function is (4,0) and (5,0)

Step-by-step explanation:

When you graph the equation, you can locate the points by seeing where the lines cross over on the x-axis.

Will give brainliest!!


-12x = -48

A. 576
B. 4 (my guess)
C. -4
D. 1/4

Answers

Answer:

x = 4

Step-by-step explanation:

−12=−48

-12x=-48−12x=−48

−12−12=−48−12

x = 4

13.
A line passes through (3, –2) and (6, 2). Write an equation for the line in point-slope form.
Rewrite the equation in standard form using integers.

A. y + 2 = 4/3(x – 3); –4x + 3y = –18
B. y – 3 = 4/3(x + 2); –4x + 3y = 17
C. y + 2 = 4/3(x + 3); –4x + 3y = –18
D. y – 2 = 4/3(x – 3); –4x + 3y = 18

Answers

Answer:

A. y + 2 = 4/3(x – 3); –4x + 3y = –18

Step-by-step explanation:

(3, –2) and (6, 2)

First, we must establish slope...

m=(y-y1)/(x-x1)

m=(-2-2)/(3-6)

m=-4/-3

m=4/3

Point slope formula is...

y-y1=m(x-x1)

Let's select either coordinate.  I randomly select the first (3, –2)...

y--2=4/3(x-3)

Subtracting a negative number is the same as adding a positive number...

y+2=4/3(x-3)

This corresponds to the first answer.

Standard form...

Ax+By=C

y+2=(4/3)x-4

y=(4/3)x-6

-(4/3)x+y=-6

Multiply both sides by 3...

-4x+3y=-18

This also corresponds to the first answer.

 

How about the second coordinate, (6, 2)...

y-y1=m(x-x1)

y-2=(4/3)(x-6)

Let's convert it into standard form..

y-2=(4/3)x-8

y=(4/3)x-6

-(4/3)x+y=-6

Multiply both sides by 3...

-4x+3y=-18

FIRST ANSWER

y + 2 = 4/3(x – 3); –4x + 3y = –18

a)Preform. Increase 2.75 by 1/4
b) Divide 4 2/15 by 3.1
c)Decrease 9 3/8 by 4.37
d)Increase 5.4 by 1 1/27
(Please do not take advantage of the points i just want my hmwrk done and I have some extra points leftover from questions)

Answers

Answer:

a) 3

b) 4/3

c) 5.005

d) 6.437037

Step-by-step explanation:

increase and decrease is just adding and subtraction so all you're really doing here is addition, subtraction, and division

a) Solution of ' Increase 2.75 by 1/4' is 3.

b) Solution of 'Divide 4 2/15 by 3.1' is 1.33.

c) Solution of 'Decrease 9 3/8 by 4.37' is 5.005.

d) Solution of 'Increase 5.4 by 1 1/27 is 5.81.

What is Division method?

Division method is used to distributing a group of things into equal parts.

Given that;

All questions are;

a) Increase 2.75 by 1/4

b) Divide 4 2/15 by 3.1

c) Decrease 9 3/8 by 4.37

d) Increase 5.4 by 1 1/27

Now, Solve the expression as;

a) Increase 2.75 by 1/4 = 2.75 + 1/4

                                   = 2.75 + 0.25

                                   = 3

Thus, Solution of ' Increase 2.75 by 1/4' is 3.

b) Divide 4 2/15 by 3.1 = 4 2/15 ÷ 3.1

                                  = 62/15 ÷ 3.1

                                  = 4.13 ÷ 3.1

                                  = 1.33

Thus, Solution of 'Divide 4 2/15 by 3.1' is 1.33.

c) Decrease 9 3/8 by 4.37 = 9 3/8 - 4.37

                                        = 75/8 - 4.37

                                        = 9.375 - 4.37

                                        = 5.005

Thus, Solution of 'Decrease 9 3/8 by 4.37' is 5.005.

d) Increase 5.4 by 1 1/27 = 5.4 + 11/27

                                     = 5.4 + 0.41

                                     = 5.81

Thus, Solution of 'Increase 5.4 by 1 1/27 is 5.81.

So,

a) Solution of ' Increase 2.75 by 1/4' is 3.

b) Solution of 'Divide 4 2/15 by 3.1' is 1.33.

c) Solution of 'Decrease 9 3/8 by 4.37' is 5.005.

d) Solution of 'Increase 5.4 by 1 1/27 is 5.81.

Learn more about the addition visit:

https://brainly.com/question/28682231

#SPJ6

30 miles per hour over a period of 10seconds

Answers

Step-by-step explanation:

Average = 30 mil/h

Period = 10s

Av = 30 ÷ 360 / 3600 ÷ 360

Av = 1/12 mil / 10 sec

Bots don’t answer, please please

Answers

The answer is D !
because the coefficient is lower then 2 it’s a maximum and it’s a quadratic .

I really need help on this problem. Godbless for however help me

Answers

Answer:

Mjk = KLM

So

Mjk = 48

Step-by-step explanation:

The answer is 48

PLS HURRY!!! Miley has a shoe shelf 33 inches wide. If each of her shoes is 2 3/4 inches wide, how many shoes can she fit on the shelf? Which statements are correct? Check all that apply. A> To solve this problem, divide 33 by 11/4 B>To solve this problem, multiply 33 by 11/4 C> Miley’s shoe shelf can fit 12 shoes. D> Miley’s shoe shelf can fit 90 shoes.

Answers

C because 33 divided by 2.75 =12

You need to hire a ride to your friends house. Lyft charges $8 plus $2 per mile.
Uber charges $10. plus $1.50 per mile. After how many miles are the total costs the
same for Lyft and Uber?

Answers

Answer:

4 miles

Step-by-step explanation:

8 + 2x = 10 + 1.50x

8 + 0.50 = 10

0.5x = 2

x = 2/0.5

x = 4

I hope that this helps!!

lyft-
2(2)=4
+8=12$
uber-
1.50(2)=3
+10=13
so NO it’s not the same

Solve the system of equations by the substitution method.
( y=2x+1
4y - 5x=13
Type an ordered pair

Answers

Step-by-step explanation:

y = 2x + 1

4y - 5x = 13

4(2x + 1) - 5x = 13

8x + 4 - 5x = 13

8x - 5x = 13 - 4

3x = 9

x = 9/3

x = 3

y = 2x + 1

y = 2.3 + 1

y = 6 + 1

y = 7

(x,y) = (3,7)

math question 6r + 7 = 13 +7r

Answers

Step-by-step explanation:

6r + 7 = 13 + 7r

6r - 7r = 13 - 7

-1r = 6

r = 6/-1

r = -6

Find the intercepts for the graph of the equation.
-2x-2y = -4

Answers

Answer:

y= -x+2

Step-by-step explanation:

If what they are asking for is slope-intercept format, then you need to isolate the y on one side.

So add -2x to both sides to get, -2y= 2x-4

After that you would divide both sides by -2, and when you do this you are dividing every single term by -2 so you would get,

y= -x+2

that is your slope- intercept formula.

so your slope is m= -1

Answer:

X-intercept: (2,0)

Y-intercept: (0,2)

Step-by-step explanation:

all it's asking for when it says "find the intercepts" is for two points, the one with 0 in the x position, and the one with 0 in the y position of the point (x,y).

These are surprisingly easy! Just plug 0 into x and solve for y. In this case, that gives us (-2)x(0)-2y = -4

Do some algebra and you'll find that y = 2. Since we plugged in 0 for x, that gave us the y-intercept: (0,2). (Remember, the y-intercept is when it intersects the y-axis. All points on the y axis have an X coordinate of 0!)

Now do the same thing but plug 0 in for y.

-2x - (2)x(0) = -4

-2x = -4

x=2

This gives us the x-intercept of (2,0)

City Middle School is raising money for new gym equipment by selling cookie dough.
• 25% of all money collected from the sale will go towards the equipment.
• The sixth grade sold $511.94 worth of cookie dough.
• The seventh grade sold $385.96 worth of cookie dough.
• The eighth grade sold $491.12 worth of cookie dough.
About how much money did the school raise for the new gym equipment?

Answers

Answer:  $347.26

Explanation:

Add up the dollar figures given

511.94+385.96+491.12 = 1389.02

The school raised a total of $1,389.02

Of that total, 25% will go toward the gym equipment.

25% of 1389.02 = 0.25*1389.02 = 347.255 which rounds to 347.26

Answer:

$347.255

Step-by-step explanation:

add all the sales of sixth to eight grade and multiply to .25

78899999x344444444444444444

Answers

Answer:

2.7176666e+25

Step-by-step explanation:

a big number tbh

Consider the function f (2) = 9x + 2. Choose the correct answer when the function is evaluated for f (3)

f(3) = 95
f(3) = 29
f(3) = 11
f(3) = 20​

Answers

Answer:

f(3)=20

Step-by-step explanation:

Which property is demonstrated?

(5+19)+6=5+(19+6)

Commutative Property of Addition


Commutative Property of Multiplication


Associative Property of Addition


Associative Property of Multiplication

Answers

Answer:

Commutative Property of Addition

Find the value of Y
12y-32=4y

Answers

Hello there! (:

12y-32=4y

12y-4y=32

8y=32

Divide both sides by 8 in order to get y on its own:

y=4

Hope it helps!

~SparklingFlower (:

Find the value of each variable in the following parallelograms.

Answers

Answer:

y+3=12

y=12-3

y=9

x-3=15

x=15+3

x=18

so,x=12

y=18

Given the diagram below, find the value of y.

Answers

Answer:

y = 9°

Step-by-step explanation:

These are vertical angles, so we can set them equal to each other.

Equation: (11y - 36)° = 63°

"Distribute:" 11y - 36° = 63°

Add 36 to both sides: 11y = 99°

Divide both sides by 11: y = 9°

Giving us an answer of: y = 9°

According to the Vertical Angle Theorem, 11y-36=63.

Solving this:

11y-36=63

11y=99

y=9

Hope this helped.

Due in 30 minutes!!

Thank you:)

Answers

Answer:

The 3rd one as it's cubic

Answer:

The first one.

Step-by-step explanation:

Find the asymptotes.

Vertical Asymptotes: x = − 2

Horizontal Asymptotes: y = 3

No Oblique Asymptotes

So it has to be y=(1)/(x+2)+3

3 Original Image
3
Scale Drawing
OBO
3 in
5 in
Scale Factor =



What the scale factor plz explain answer HELP ME

Answers

The scale factor is 5:3

Factor the following trinomials. Show your work. Will mark as Brainliest if the answers are correct and have work shown.
1. -2x^2 - 10x + 100
2. 3x^3 + 9x^2 - 54x
3. x^2 +12x + 20

Answers

1st Question:

Our problem is [tex]-2x^2 - 10x + 100[/tex]

We have a common factor between the three terms, -2. So:

[tex]-2x^2 - 10x + 100[/tex]

[tex]-2(x^2 + 5x -50)[/tex]

We can factor further. What two numbers add up to 5 and multiply to -50? Our answer would be positive 10 and -5. Therefore:

[tex]-2(x^2 + 5x -50)[/tex]

[tex]-2(x +10)(x-5)[/tex]

2nd Question:

The problem is [tex]3x^3 + 9x^2 - 54x[/tex]

Like the first question, we can factor out a constant. In this case, we factor out a 3.

[tex]3x^3 + 9x^2 - 54x[/tex]

[tex]3(x^3 + 3x^2 - 18x)[/tex]

We can also factor out an x.

[tex]3(x^3 + 3x^2 - 18x)[/tex]

[tex]3x(x^2 + 3x - 18)[/tex]

We need to simply further. We can factor the quadratic into (x+6)(x-3).

[tex]3x(x^2 + 3x - 18)[/tex]

[tex]3x(x+6)(x-3)[/tex]

3rd Question:

Our problem is [tex]x^2 +12x + 20[/tex]

We do not have a coefficient, so we should factor the expression straight away. What two numbers add up to 12 and multiply to 20? the numbers 2 and 10. So:

[tex]x^2 +12x + 20[/tex]

[tex](x+2)(x+10)[/tex]

In 1788, the new United States _separated the national government into threee branches and later added ten amendments called the Bill of Rights

Answers

Answer:

?

Step-by-step explanation: Sorry what am I supposed to answer here? I will edit this to the answer when you tell me.

Answer:

constitution of the nation

Step-by-step explanation:

A snack bar sells 20 cups of hot chocolate on Monday. On Friday they sell 30 cups of hot chocolate. What is the percent increase/decrease?

Answers

Answer:

50% increase

Step-by-step explanation:

Other Questions
HELP DUE IN 10 MIN DONT SPAM OR YOU WILL BE REPORTED Gina needs to cut a board to use for a project. The board is 10 feet long. She first has to cut off board. She then cuts the remaining section of board into 3 equal pieces. 1 /1 2 feet from one end of the Whirh Question 2 (1 point)How is the first paragraph of "Thank You Mam" important to the plot?3SaeIt foreshadows the resolution.6It represents the climax of the story.9It initiates the conflict.It presents the solution to the main problem For this assessment you must submit two response paragraphs to the following topics:Response Paragraph 1Three to five sentences longExplain how the resolution of the plot indicates the author's purpose.Show what human rights issues took place in the conflict and how the author used the resolution to generate a reaction in the reader.Use proper spelling and grammar.Response Paragraph 2Three to five sentences longExplain how the diction and characterization indicate the authors purpose for writing about a human rights issue.Provide specific examples from the novel.Use proper spelling and grammar.i am reading their eyes were watching god PLEASE HELP ASAP POINTS!!Write the equation of a quadratic function that has been shifted 3 units down, to the right 2 units, andstretched vertically by a factor of 5. for which value of x dose f(x)=2? the sum of three times a number and eleven is greater than or equal to fifty which sentence best helps readers determine the central idea of the paragraph? The measure of the supplement of an angle is 60 less than four times the measure of the complement of the angle. Find the measure of the angle. QuestionWrite an equation of the line that passes through the points.(0, 2), (4, 2) According to the James-Lange theory, we experience emotion ________ we notice our physiological arousal. According to the Cannon-Bard theory, we experience emotion ________ we become physiologically aroused. Group of answer choices before; before 9 trigonometric ratio -150x +15-31x +60-50x -20x solve the equation -2y+6=-12 yeah can you help me with this? Determine the total annual FICA tax for an annual salary of $38,480. A. $294. 37 b. $717. 96 c. $2,385. 76 d. $2,943. 72. Kahalagahan ng diagram fill in the blank to solve the equation below 12 + 24 = 2(6 + _) The Rock once said, Don't focus on the pain, focus on the progress (www.quotespedia.org).In the emotional book, Touching Spirit Bear, by Ben Mikealson. The character Cole Mathews did not focus on the past, he focused on the present." Touching Spirit Bear" the protagonist is Cole Matthews. He is a troubled teenager that gets in trouble for injuring and harassing a peer by the name of Peter Driscal. He does this because of some anger issues that he is dealing with. His offenses were serious, so he was facing a lot of jail time. His parole officer believes that Cole can change and he doesn't deserve this so instead of sending him to jail he gets him into a program that they call Circle Justice. Cole has become more confident and courageous in the book by changing from naughty to loyal.Cole becomes a better person throughout the book by becoming more confident and courageous. You can see a clear change because, in the beginning, he was making bad decisions for himself, and while he experiences all of the ups and downs in this program, he grows as a person. In one scene of the book, Cole burned a cabin down. This shows that Cole is not making the right decisions because he acts out and does something drastic. Although this is true, later in the same scene Cole cries expressing his emotions which tells the readers that he knows what he did was wrong and deep down he wants to do better and change. In another scene of the book Cole decides to make dinner for everyone. This shows that he has changed and become loyal. He shows that he cares about others and wants to have joy in his life, he worked hard and showed that he respected others. Another way that shows Cole's improvements is when he hugs his mom. He is showing her that he cares and that he has changed into a better person.Cole has become more confident and courageous in the book by changing from naughty to loyal. can someone tell me if this is good and give me feedback Write a multiplication expression using the following clues: 1. One factor is a two digit number between 1 and 10 2. One factor is a three digit number between 1 and 10 3. The product is greater than 4, but less than 6 PLEASE HELP I WILL GIVE BRAINLIST A store marks up the price of a pair of sneakers by 25%. The original price is $60. What is the new price?Juan says the sneakers would be $75Abel says the sneakers would be $45.Who is correct? Why?