the length of a rectagle is 5 in longer than its width. if the perimeter of the rectangle is 56 in, find its length and width

Answers

Answer 1

Answer:

Step-by-step explanation:

Let the width of the rectangle = x

As length is 5 inches longer than width, we have to add 5 to width

Length = x + 5

Perimeter of ractangle = 56 in

2* (length + width) = 56

2*( x + 5 + x) = 56

2* (2x + 5)    = 56

Use distributive property: a*(b +c) =(a*b) + (a * c)

2*2x + 2*5   = 56

4x  + 10 = 56

Subtract 10 from both sides

4x = 56- 10

4x = 46

Divide both sides by 4

x = 46/4

x = 11.5

Width = 11.5 in

length = 11.5 + 5

            = 16.5 in


Related Questions

What equation results from completing the square and then factoring?

x^2 + 4x = 5

A. (x + 2)^2 = 3

B. (x + 2)^2 = 7

C. (x + 2)^2 = 1

D. (x + 2)^2 = 9

Answers

Answer:

(x+2)^2 = 9

Step-by-step explanation:

To complete the square we need to add 4 to both sides of the equation,

Why we add 4 to both sides? Because if we add it to one side only, the equation will turn into an inequation

x^2 + 4x + 4 = 5 + 4

x^2 + 4x + 4 = 9 and the factor of the expression is (x+2)*(x+2) = 9

(x+2)^2 = 9

The equation is :

Answer x =

Answers

Answer:

4x-11=73,

x=21

Step-by-step explanation:

11 subtracted from means -11

four times a number means 4(x) because x is the number

is = equals

so

4x-11=73

+11      +11

4x=84

/4    /4

x=4

Triangle ABC was dilated using the rule DO,4. Triangle A'B'C' is the result of the dilation.

Point O is the center of dilation. Triangle A B C is dilated to create triangle A prime B prime C prime. The length of O B is three-fourths.

What is OB'?

1.5 units
3 units
4.5 units
6 units

Answers

Dilation is the change in size of of object. The length of the side OB' will be 3 units

Dilation of coordinate

From the given diagram, we can see that there is a change in the side of the triangle OAB to OA'B'

Given the following parameters

OB = 3/4 units

Scale factor = 4 units

The measure of OB' = 4 * 3/4 = 3 units

Hence the length of the side OB' will be 3 units

Learn more on dilation here: https://brainly.com/question/10253650

Answer:

3

Step-by-step explanation:

edg 2022

Using the digits 1, 3, and 5 only once, write the greatest
and least three-digit numbers you can.

Answers

Answer:

Greatest: 531

Least: 135

Step-by-step explanation:

In order to make the greatest number, you want the highest number to be in the highest digits place.

In this case, 5 is the largest number

This is because having a number that is 500 is greater than a number that is 300 or  100.

Then, the next biggest number will be used for the next digit, which is 3, so 3 will be in the 10s place

Then the left over 1 will be in the single digits place, so the greatest number is

531

This is the same process as before, just instead of big numbers, you want little numbers

For the least number, you want the lowest number to be in the 100s place, which is 1

Then 3 is the next lowest number

and the left over is 5

So the least number you can make is:

135

Find the missing factor.
200 x ____ = 600
A) 2
B) 3
C) 4
D) 5

Answers

Answer:

B. 3

Step-by-step explanation:

we know 2x3 = 6 soo just add 2 zeros = 600

B) 3 if we multiply 200 by 3 the answer will be 600

a student sketched some art on an 8 inch x 10 inch piece if paper he wants to resize it to fit an 4 inch x 6 inch frame. What percent of the original sketch was still able to be included?

(someone asked this question but all the answers were wrong, so I am letting you know that the correct answer is 83.3%)

Answers

Answer:

83.3%

Step-by-step explanation:

Define the algebraic terms by counting how many terms given on the expression below.
4x + 3n + 5​

Answers

Answer:

Two terms ( [tex] x [/tex] and [tex] n [/tex])

Step-by-step explanation:

If simplified it gives 3n+4x+5

And cannot be factored

hello!

=======================================================

We're given the following expression:

[tex]\bigstar{\boxed{4x+3n+5}[/tex]

Here,

4x is a term

3n is a term

5 is a term

4 is the coefficient of x

x is a variable

3 is the coefficient of n

n is a variable

5 is a constant

Details:-

A coefficient is a number before a variable

A variable is a letter

A constant is a number without any variables next to it

=========================================================

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

PLSS PA ANSWER PO DONT DELETE PO​

Answers

Answer:

The answer of the first on is 15 b because to find the perimeter of 2d shapes we have to add all the sides given ex: 5+5+5=15 so the answer of first question if 15.

Step-by-step explanation:

1. B or 15cm

2. C or 24cm

3. C or 16cm

4. C or 56cm

5. A or 50cm


Just add the sides together for perimeter :)

A pencil has a mass of 25 grams of there are 8 pencils what is the total mass of all the pencils

Answers

Answer:

200g/0.2kg

Step-by-step explanation:

8 × 25g = 200g

The total mass of the pencil is 200 grams.

What is Multiplication?

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

Given that,

A pencil has a mass of 25 grams.

there are 8 pencils.

Total number of pencils = 8

Mass of each pencil = 25 grams

Total mass of the pencils = 8 × 25 = 200 grams

Hence the total mass is 200 grams.

Learn more about Multiplication here :

https://brainly.com/question/29153616

#SPJ2

I have a question whats 2+2

Answers

Answer:

22

Step-by-step explanation:

You add the to numbers together and the answer will be 22


I hope it helps! Have a great day!

Muffin ^^

How do you solve this?

Answers

Answer:

22

Step-by-step explanation:

5x + 8 = 118

5x = 110

x = 22

(This is a multiple choice question)Suppose you are rehearsing for a dance competition and you fall and hurt your shoulder. At the hospital, they take X-rays, consult a shoulder specialist, and give you a stabilizer brace. You pay a $50 co-pay at the time of service, and the ER bills your insurance company for the rest. The total hospital bill is $3,720. The table below shows the payment structure for your health insurance policy. If the injury happened in July, what is your total paid in monthly premiums?


A. 1,050$


B. 150$


C. 900$

Answers

1,000000 is not the only one that has the same name on


Rewrite in simplest radical form
X^5/6 / X^1/6

Answers

Answer:

[tex]\sqrt[3]{x^2}[/tex]

Step-by-step explanation:

The rule of exponents says that we must use subtraction for [tex]\frac{5}{6}[/tex] and [tex]\frac{1}{6}[/tex] since we are dividing.  

Thus, we have [tex]\frac{x^\frac{5}{6} }{x^\frac{1}{6} }\\\\\frac{5}{6}-\frac{1}{6}=x^\frac{4}{6}=x^\frac{2}{3}[/tex]

When dealing with fractions and radicals, we can find the simplest radical form by using the saying [tex]\frac{exponent}{index}[/tex]

Thus we have [tex]\sqrt[3]{x^2}[/tex]

The volume of a right cone is 252pi units^3. If its height is 21 units, find its radius.

Answers

Based on the calculations, the radius of this right cone is equal to 6 units.

Given the following data:

Volume of cone =  [tex]252\pi \;units^3[/tex]Height of cone = 21 units.

How to calculate the volume of a cone.

Mathematically, the volume of a cone is given by this formula:

[tex]V = \frac{1}{3} \pi r^2h[/tex]

Where:

h is the height.r is the radius.

Making r the subject of formula, we have:

[tex]r=\sqrt{\frac{3V}{\pi h} } \\\\[/tex]

Substituting the given parameters into the formula, we have;

[tex]r=\sqrt{\frac{3\times 252\pi}{\pi \times 21} } \\\\r=\sqrt{\frac{756}{21} }\\\\r=\sqrt{36}[/tex]

r = 6 units.

Read more on radius here: brainly.com/question/21367171

do this only on number line ​

Answers

#4

-2/8=-1/43/6=1/2

Refer to the attachment

#2

Mid point:-

-2/5+1/2/2-4+5/10/21/10/21/20

Step-by-step explanation:

please mark me as brainlest

The diameter of a circular placemat is 42 centimeters. What is the approximate area of the circular placemat

Answers

[tex] area \: of \: a \: circle \: or \: circular \: object \: = \pir^{2} \\ \: [/tex]

Answer:

1386cm^2.

Step-by-step explanation:

Radius of a circle = diameter / 2

= 42cm /2

= 21cm.

Area = (3.142 *21*21)cm^2

= 1386cm^2

To convert into metres:

=1386/100

=13.86m^2

A fair die is rolled twice. Let X denote the sum of the values. What is E[X|A] where A is the event that the first roll was a 6.

Answers

We will see that the expected value for X given that the first number is a 6, is:

E[X|A] = 9.5

How to get the expected value?

We know that X represents the sum of both values. The first value is already 6, so we have that fixed:

X = 6 + p

Now, remember that all the numbers in the dice have the same probability of rolling up, then the expected value of p is:

E(p) = (1 + 2 + 3 + 4 + 5 + 6)*(1/6) = 3.5

Then the expected value of X, given the event A.

E[X|A] = 6 + p = 6 + 3.5 = 9.5

So the expected value for X is 9.5

If you want to learn more about expected values, you can read:

https://brainly.com/question/15858152

Can you please help

Answers

Answer:

used formula to find Area of parallelogram

area of parallelogram =b× h

Step-by-step explanation:

solution :

given ,

h = 7cm

b = 9 cm

we know ,

Area of parallelogram = b× h

=63cm²

A rectangular table cloth measures 150cm by 200cm.the area of the table cloth in square meters is ?

Answers

Answer:

30,000

Step-by-step explanation:

150 x 200

Explanation:

To find the area you need to multiply the two numbers. Therefore, giving you your correct awswer.

Suppose you have a data set that includes the values 20, 30, and 50. If you add a fourth value to this data set, and after doing that the mean of the data set is 50, what was the value that you added? a. -10 c. 50 b. 40 d. 100 Please select the best answer from the choices provided A B C D

Answers

Answer:

D. 100

Step-by-step explanation:

Mean = Sum of all numbers divided by the count of all numbers

Mean = 50

Let say that the sum of all numbers = X

50 = X / 4

200 = X

X = (20+30+50) + The 4th Value

200 = 100 + 4th Value

The 4th Value = 100

Mrs. Reynolds has $153. She buys a bicycle for $105.
Then, she finds $20 at the bottom of her purse.
How much money does she have now? Use the bar diagrams to help you.

Step 1:

Step 1: a bar diagram shows 105 and m, the money left after buying a bike. Together 105 and m are equal to 153.



Step 2:

Step 2: a bar diagram shows that 20 and m is equal to s, the money now.

Enter your answer in the box.
Mrs. Reynolds has $
now.

Answers

Answer:

$68

m=48  s=68

Step-by-step explanation:

153-105=48+20=68

Factor 5x2y + 22xy – 15y.

Answers

Answer:

5y(x^2 - 3)

Step-by-step explanation:

Hope this helps :)

Find the product. (6y - 2)2

A. 36y2 - 24y + 4
B. 36y2 + 24y = 4
C. 36y2 + 4
D. 12y2 - 16y + 4​

Answers

Answer:

A. 36y² - 24y + 4

Step-by-step explanation:

Use identity

(a ± b)² = a² ± 2ab + b²

Here we have a = 6y, b = 2

(6y - 2)² = (6y)² - 2(6y)(2) + 2² = 36y² - 24y + 4

Correct choice is A

Which set has an average of 2?
A) A
B) B
C) A and B
D) none of the above

Answers

Answer:

the answer is option b because the sets in option b have an average of two and above

Find the lengths of the diagonals of rectangle WXYZ where WY = - 2x + 34 and XZ = 3x - 26.

Answers

Answer:

The measure of the diagonals are 10 units each.

Step-by-step explanation:

The diagonals of a rectangle are always equal (Refer to image).

⇒ -2x + 34 = 3x - 26

⇒ -2x + 60 = 3x

⇒ 60 = 5x

⇒ 60/5 = 5x/5

12 = x

Now, let's substitute the value of x into any diagonal.

⇒ -2x + 34 = WY

⇒ -2(12) + 34 = WY

⇒ -24 + 34 = WY

10 units = WY

Thus, the measure of the diagonals are 10 units each.


4 and 1/3 times 4 and 1/5

Answers

Answer:

The answer is 18.2 OR 18 1/5

Step-by-step explanation:

Hope it helps

•Pls help•
Describe the Order of Operations. Create an example and explain each step using the order of
operations.

Answers

Answer:

The order of operations says that operations must be done in the following order: parentheses, exponents, multiplication, division, addition, and subtraction. You can also create a little phrase to go along with this, like "Please Excuse My Dear Aunt Sally." Whatever you choose, make sure that you know all six steps of the order of operations very well. The order of operations tells us the order to solve steps in expressions with more than one operation. First, we solve any operations inside of parentheses or brackets. Second, we solve any exponents. Third, we solve all multiplication and division from left to right.

Step-by-step explanation:

hope this helps :)

PLEASE HELP IT"S MATHHHHH< I"LL MARK U BRANLIEST

Answers

Step-by-step explanation:

we cannot read the name of the vertical line through B, but I guess that is "m".

so, if we reflect ("mirror") the line BC across "m", then B stays where it is (on line "m"), and C flips over into A.

therefore, if I understand the question correctly, the second option (line BA) is right.

because the reflected image of line BC is line BA.

Alexandra drew the logo shown on half-inch graph paper. Enter a rule that describes the translation
Alexandra used to create the shadow on the letter A

Answers

Answer:

(x+1, y-1)

Step-by-step explanation:

the original logo starts at 1in on the x-axis, the shadow is on 1.5in on the x-axis. menaing it moved 1 square to the right.

which means x+1

while the shadow went down 1 square on the y-axis

this means y-1

15 POINTS ANSWER FAST!


A rectangle PQRS and square LMNO are drawn side by side. The length SR of the rectangle is labeled as 14 inches, and the width QR is labeled as 7 inches. The side LM of the square is labeled as 7 inches.


Anna says that the length of diagonal SQ is two times the length of diagonal OM.


Is Anna correct? Justify your answer and show all your work. Your work should state the theorem you used to find the lengths of the diagonals.

Answers

Use Pythagoras Theorem.

Diagonal of the rectangle PQRS:
7^2 + 14^2 = SQ^2
SQ = 7 root 5

Diagonal of the square LMNO:
7^7 + 7^7 = OM^2
OM = 7 root 2

When dividing SQ or multiplying OM by 2, you don’t get the exact answer so she’s wrong
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