The length of a rectangular hall exceeds its breadth by 7 m. If the breadth is decreased by 1 m and the length increased by 2 m, the area remains the same. Find the length and breadth of the hall.​

Answers

Answer 1

Answer:

Step-by-step explanation:

Let the length be :x+7

Let the breadth be:x

After addition and subtraction

Length:x+7+2=x+9

Breadth:x-1

A.T.Q

x(x+7) = (x+9)(x-1)

x²+7x = x(x-1)+9(x-1)

x²+7x = x²-x+9x-9

x²+7x-x²+8x = 9

8x-7x = 9

So, Breadth: 9m

So, Length :16m


Related Questions

“ Use what you know about function notation to complete the statements “ PLS HELPP

Answers

Step-by-step explanation:

I don't know the options to pick from.

the 2 main possibilities coming to my mind are

y = f(x)

or

(x, f(x)) or (x, y)

there is no specific function coming to mind. the functional values bounce around above and below the x-axis (positive and negative y-values) with not detectable pattern related to the x values.

the other 2 questions can be found directly in the table :

f(3) means f(x) with x=3, and that is -2

and f(x) = -5 is true, when x = 4

RSM problem solve it please for me

Answers

hello! :p

area of shape one is 12

and area of shape to is 36

In not 100% sure but I thought I could try to help! Don't take my word for it though. :) Have a wonderful day!

63 divided by 16,128 plss help it’s due wensday!!!!

Answers

Answer:

256 , or 0.00390625

Step-by-step explanation:

Please guys the surface area of the pyramid... I will mark you brainliest

Answers

Answer:

I can answer this but all you have to do is get the length, weight, and height and multiply it. I was going to do it but I could it find the height, and width.

WILL GIVE BRAINLIEST IF UR RIGHTTT!

Answers

Answer:

[tex]-\sqrt{5\\}[/tex]

Step-by-step explanation:

I put the Question here #1

Answers

Answer:

sqrt( 74)

8.602

Step-by-step explanation:

To find the distance between the two points we use the formula

d = sqrt( ( x2-x1)^2 +(y2-y1)^2)

   = sqrt( ( 3- -2)^2 + ( -2 -5)^2)

   = sqrt( (3+2)^2 + ( -7)^2)

   = sqrt( 5^2 (-7)^2)

    = sqrt( 25+49)

    = sqrt( 74)

approximately 8.602325267

To the nearest thousandth

  approximately 8.602

Gillian can jog 100 metres in 24 seconds. How long will it take her to jog 2 km?

Answers

Answer:

8 minutes or 480 seconds

Step-by-step explanation:

1 km = 1000 m

100x20=2000

24 x 20 = 480

480/60 = 8

Answer:

Step-by-step explanation:

Fill in the boxes please

Answers

[tex]Given: AD \parallel BCAD∥BC and AD=CB[/tex]

To Prove: [tex]AB \parallel DCAB∥DC[/tex]

1. [tex]AD \parallel BCAD∥BC , AD=CB[/tex]

Reason: Given

2. AC = AC

Reason: Reflexive Property of Equality

3. [tex]\angle 2 = \angle 3∠2=∠3[/tex]

Reason: If Lines are parallel, then Alternate Interior Angles are Equal).

4. [tex]\Delta ACD \cong \Delta CABΔACD≅ΔCAB[/tex]

Reason: SAS

5. [tex]\angle 1 = \angle 4∠1=∠4[/tex]

Reason: CPCTE

6. [tex]AB \parallel DCAB∥DC[/tex]

Reason: If Alternate Interior Angles are Congruent, then Lines are Parallel.

Answer:

The missing Statements and reasons are given below

Statement                                                  >>   Reason

4. CB ≅ BC                                               >> reflexive property of congruence

5. ∠ABC ≅ ∠DCB and ∠ACB ≅ ∠DBC   >>   Alternate interior angles theorem

6. ΔACB ≅ ΔDBC                                      >>   ASA congruence

7. AB ≅ DC and AC ≅ DB                         >>   CPCTC

I need the answers for, a. b. c. d. e. f . g. h.
The correct please.

Answers

Answer:

a is correct

b. wrong = 6x-12

c wrong = -12xy+30x

d wrong = 15x²+10xy

e correct

f wrong = 2x-1

g wrong = 4(3x+1)

h correct

Step-by-step explanation:

Valery and Manuel ride their bikes 40 miles every Saturday. Valery rides at an average speed of 9.6 miles per hour (mph).
Valery increases her speed by 4% the next time she rides her bike. Her goal is to ride faster than Manuel.
Is the 4% increase enough to ride faster than Manuel? yes or no.
As part of your explanation, identify Valery's new speed. Then explain why or why not she met her goal.

Answers

Answer:

9.984, can't tell.

Step-by-step explanation:

9.6 increased by 4% is

9.6 * 1.04 = 9.984 mph.

We don't know from this how fast Manuel rides.

convert the following
1. 0.3 m
2. 37 cm
3. 3.3 cm
4. 4,000 dm
5. 6 hm
6.0.441 L
7. 24.96 L
8. 1,915 ml
9. 13.8 kg
10. 1,698 9

Answers

Answer:

I dont need

Step-by-step explanation:

what to convert

May is going to the grocery store to buy bananas and oranges. The bananas can only be purchased in groups of 65 and the oranges can only be purchased in groups of 5. If May wants to buy the same amount of bananas and oranges, then what is the lowest quantity of bananas that May can buy?

Answers

Answer:

  65

Step-by-step explanation:

65 is a multiple of 5, so May can purchase 1 group of 65 bananas and 13 groups of 5 oranges to have 65 of each.

What is 826x98= ?
826x98 is 80948

Answers

Answer:

im pretty sure we keeps the account sorry this isnt for the math question

Step-by-step explanation:

826×98=80948

Answer:

80,948

Step-by-step explanation:

that's the answer.

Alejandro has just gotten a new job. The relationship between the number of hours he works, xx, and his total earnings, yy, is represented by the graph below.
A point (4,904,90) is labeled below. Which statement about the graph is true?
0
Number of Hours
Total Earning (in dollars)
x
y
0
Number of Hours
Total Earning (in dollars)
(4 , 90)

The unit rate is 4 hours per dollar
The unit rate is 22.5 hours per dollar
The unit rate is $90.00 per hour
The unit rate is $22.50 per hour

Answers

The statement that is true about the graph as it relates the unit rate is:

d. The unit rate is $22.50 per hour

How to find Unit Rate

Unit rate of a relationship between two variables, x and y, that are proportionally related can be found using k = y/x, where k is the unit rate.

Given that:

x = hours he worked

y = his total earnings

We are told that (4, 90) is a point on the graph.

Using the point, (4, 90), we can find the unit rate as shown below:

k = y/x = 90/4

k = 22.5

Therefore, the statement that is true about the graph as it relates the unit rate is:

d. The unit rate is $22.50 per hour

Learn more about the unit rate on:

https://brainly.com/question/11599895

Ms. Rowlen went Black Friday shopping and she bought a flat screen TV that originally costs $259.00. She used her super Savings Coupon of 45%, how much did Ms. Rowlen pay for the TV?

Answers

If she used a coupon of 45%, the price markdown would be 116.55. You must subtract the markdown from the original cost to discover the amount she had to spend.

259.00 - 116.55 = 142.45

So, Ms Rowlen had to spend 142.45 on the TV.

A class is made up 15 girls and 12 boys. If a group is made up 3 girls and 3 boys, then how many groups can be created?

Answers

Answer:

The answer would be 5 Girls and 4 Boys.

Step-by-step explanation:

15 Girls divided by 3 groups= 5 girl groups

12 boys divided by 3= 4 boy groups

Answer:

3+3=6

the answer is 6 many groups created

What is the slope of the line that passes through the points (5, 6)(5,6) and (5, 9) ?(5,9)? Write your answer in simplest form.

Answers

Answer:

Step-by-step explanation:

Slope is defined as the "Rise" over the "Run" of a straight line.  The Rise is the change in y, and the Run is the change in x.  For the given points:

(5,6) and (5,9) the Rise and Run are (going from left to right).

Rise (9-6) = 3

Run = (5-5) = 0

The slope is 3/0, which is undefined (can't divide by zero).

3,415.72 - 1,838.28 = 1577.44
4. Janet earns $6.25 an hour for guarding paintings. If she works 24.3 hours a week for a period of six
weeks, how much does she earn from working six weeks?

Answers

$911.25.

6.25x24.3= 151.875
151.875x6=911.25

Can anyone help me with this

Answers

Answer:

  47.2°

Step-by-step explanation:

Triangles PRQ and SRQ are congruent by HL. In these right triangles, the acute angles are complementary.

angle PRQ  = angle SRQ = 90° -42.8° = 47.2°

The measure of angle PRQ is 47.2°.

Can ya'll help- none of the answers i've gotten match any answers-

Answers

Answer:

1 8/11

Step-by-step explanation:

Using a calculator you can determine this information easily. I recommend doing so.

the answer is

1 and 8/11

explanation

4x²-8xy
factorise completely

Answers

Answer:

4x (x - 2y)

Step-by-step explanation:

Pull out what factors they both have and put it outside the parentheses, put the rest inside after dividing.

The factoring of the algebraic form 4x² - 8xy is 4x(x - 2y).

INTRODUCTION~Algebraic Forms and their Elements

Algebraic form is a mathematical form whose presentation involves symbols or letters to represent unknown numbers.

Elements of Algebra:

1. Variables, Constants and Coefficients

Pay attention to the algebraic form 3x + 2y + 3

From the algebraic form above, x and y are variables (variables), while the number 3 is a constant. A variable is a substitute symbol for a number whose value is not clearly known. While constants are terms of an algebraic form in the form of numbers and do not contain variables.

And what is meant by the coefficient is the constant factor of a term in algebraic form. The coefficient on the 3x term is 3, on the 2y term it is 2.

2. Terms and Factors

» The term is part of the algebraic form which is limited by the operation of addition (+) or difference (-). The term one is an algebraic form that is not connected by the operation of addition or difference.

Example: 2x, 2a², -4xy, . . .

» Term two is an algebraic form that is connected by an operation of sum or difference.

Example: 2x + 3, a² - 4, 3x² - 4x, . . .

» Similar terms in algebraic form are terms that have the same variable and the same power.

Example:

2a is similar to 3a, 4a, etc.

» Factors are part of the algebraic form that is restricted to multiplication operations.

Example: 5n = 5 × n, 5 and n are factors of 4n, respectively.

Calculation Operations on Algebraic Form

1. Addition and subtraction of algebraic forms can only be done on similar terms.

2. Multiplication and division of algebraic forms.

Multiply two terms by constants or variables.

Example:

3 (4y + 5)

= (3 × 4y) + (3 × 5)

= 12y + 15

Division of two terms with a variable or constant, for example:

(8y+4)/2 = 8y/2 + 4/2 = 4y + 2

DISCUSSION

4x² - 8xy

= 4xx - 8xy

= 4xx + 2 × 4xy

= 4x (x - 2y)

Conclusion:

So, The factoring of the algebraic form 4x² - 8xy is 4x(x - 2y).

Learn More:

(mampir ke indo:v)

Algebraic subtraction material: https://brainly.co.id/task/35216852Algebraic arithmetic operations: https://brainly.co.id/task/26250852The equation of the value of x in algebraic form: https://brainly.co.id/task/42124780

_____________

Answer Details:Class: 7 Middle SchoolSubject: MathMaterial: Chapter 2.1 -Operations of Algebraic FormsCategorization Code: 7.2.2.1Keywords: Factor algebra

A package of Oreos typically contained 45 cookies. Recently, Nabisco reduced the number to 39 cookies in a package because of inflation! What is the percent of change?

Answers

Answer:

Percentage of change - 15.4% (simplified)

Step-by-step explanation:

15.384%

The cost of a square slab is proportional to its thickness and also proportional to the square of its length. What is the cost of a square slab that is 3 meters long and 0.1 meter thick

Answers

63734859583627848369420

Write one way you can read the time. Like 3:55

Answers

first is 3:56

And is three fivety six

3:56 and is three fifty six

Which of the following is equivalent to:
−−(2+5)−(3−7)?

Answers

Answer:

You haven't provided expressions, so I can work out the problem for you. When we divide fractions, remember always "keep, switch, flip!" That's what we're gonna do here. We keep the 2/5, switch the sign to multiplication, and flip the 7/8 to 8/7. Therefore, we have 2/5*8/7. That gives us 16/35. Hope this helps!

Step-by-step explanation:

An artist spends $80 on brushes and paint. For canvas and
frames, she has to spend an additional $20 per painting.
Write an equation in slope-intercept form(y=mx+b) that shows
the relationship between the artist's total expenses(y) and the
number of paintings(x) that she makes.

Answers

Answer:

y = 20x + 80

Step-by-step explanation:

a and b are two similar solids. the volume of a is 400cm^3
work out the volume of b

Answers

Answer:

1350 cm³

Step-by-step explanation:

we have given that,

• Height of A = 10 cm.

1350

• Volume of A = 400cm³.

• Height of B = 15 cm.

• Both A and B solids are similar.

from above told concept we get,

→ V(A) / V(B) = (Height of A)³ / (Height of B)³

Putting all given values we get,

→400/ V(B) = (10)³/(15)³

→400/V(B) = (1000/3375)

→ V(B) = (400*3375) / 1000

→ V(B) = (4 * 3375) / 10

→ V(B) = 1350 cm³. (Ans.)

Hence, Volume of B will be 1350 cm³.

Chloe can read 75 words in 45 seconds. At this rate, how many words can she read in 15
minutes

Answers

Answer:

1500

Step-by-step explanation:

Rewrite the fraction 2/7 as a division expression with the same numbers.

Answers

Answer:

EZ. Btw you kinda already did it. 2/7 is a division problem. Another way is 2 divided by 7

Step-by-step explanation:

A system of equations is created by using the line represented by 2x+4y = 0 and the line represented by the data in
the table below.

What is the x-value of the solution to the system?

Answers

Step-by-step explanation:

the answer 0 I think that's it

Answer:

  2

Step-by-step explanation:

The slope of the line represented by the table is ...

  m = (y2 -y1)/(x2 -x1)

  m = (-4 -8)/(3 -(-1)) = -12/4 = -3

The y-intercept of that line is ...

  b = y -mx

  b = 8 -(-3)(1) = 5

Then the slope-intercept equation of the line represented by the table is ...

  y = mx +b

  y = -3x +5

Substituting that into the equation for the given line, we have ...

  2x +4(-3x+5) = 0

  2x -12x +20 = 0

  20 = 10x . . . . . . . . add 10x and simplify

  2 = x . . . . . . . . . . divide by 2

The x-value of the solution to the system of equations is x = 2.

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