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

A number is equal to 3 times a smaller number. Also, the sum of the smaller number and 4 is the larger number. The
situation is graphed on the coordinate plane below, where x represents the smaller number and y represents the
larger number.

Which two equations represent the situation?

A. y = 1/3x and y = x - 4
B. y = 1/3x and y = x + 4
C. y = 3x and y = x + 4
D. y = 3x and y = x - 4

Answers

Answer: C

Explanation: just trust me

if l || m find the value of y

Answers

That means they are parallel so it’s 6

A pipe is leaking at the rate of 16 fluid ounces per minute. Use unit analysis to find out how many gallons the pipe is leaking per hour.

Answers

Answer:

The answer is 7.5 gallons per hour.

Step-by-step explanation:

16 fluid ounces multiplied by 60 minutes equals 960 fluid ounces

16 * 60 = 960

960 fluid ounces divided by 128 fluid ounces (which is 1 gallon) equals 7.5 gallons.

960 / 128 + 7.5

So the answer is 7.5 gallons per hour.

Hope this helps! :)

What is 2872+919=? It’s simple here
2872+919=3791
Was this helpful?

Answers

Answer:

3791

Step-by-step explanation:

Answer:

3791

Step-by-step explanation:

2872+919=3791

2872 + 919 = 3791

2872+919=3791

2872+919=3791

ax + b = c solve for x

Answers

Rearrange for x.

c-b=ax

x=(c-b)/a

Ryan went for a drive in his new car. He drove at a speed of 62 miles per hour for 99.2 miles. For how many hours did he drive?

Answers

Answer: well you should take notes go review what your teacher has taught you and take notes then go back to that question and you should know hope this helps

Step-by-step explanation:

The sum of 5 consecutive integers is 110.
What is the fourth number in this sequence?

Answers

Answer:

23

Step-by-step explanation:

x + x + 1 + x + 2 + x + 3 + x + 4 = 110

5x + 10 = 110

x = 20

4th number = x + 3

20 + 3 = 23

a. Four friends each bought a ticket and a bag of popcorn. How
much total money did they spend?

Answers

Answer:

TICKET = $8.50POPCORN =$5.25

Total money did they spent :-

$8.50 + $5.25 = $13.75

Step-by-step explanation:

Hope this helps you !!

for example :

ticket = $5popcorn = $3

each person spends = $(5+3)

=$8

four people = 8 × 4 = $32

hope it helps...!!!

[tex]2(a+11)=-3(16-a)\\\\ also this\\2(x+10)=2(3x-8)[/tex]


can ya'll solve this for me please

Answers

Answer:

sorry no

Step-by-step explanation:

don't know the answer pls help :p

Answers

Answer:

  (b)  increase the height so the slant height triples

Step-by-step explanation:

The lateral area is jointly proportional to the radius and the slant height of the cone. Increasing either one individually by a factor of 3 will triple the lateral area.

To triple the lateral area, you can ...

  increase the height so the slant height triples

Can you help me answer this one please ?

Answers

Answer:

d. Right 5 and down 3

Step-by-step explanation:

If you have a given graph and then find that it is altered, the changes to the x (something added to or subtract from x) will be on the graph by translating (sliding) the graph left or right. Horizontal changes are probably the opposite of what they seem like they should be: x+_ moves the graph left and x-_ moves the graph right.

A number added on to the end of the equation will shift (translation, again) the graph up (a number added on) or down (a number subtracted). So in this case the x-5 moves the graph to the right 5 units and the - 3 at the end of the equation moves the graph down three units.

solve for x

plsss. & then solve for y

Answers

Answer:

x=22, y=35

Step-by-step explanation:

since this is an isosceles triangle, 3x-11 = 2x+11. so x=22

since this is a triangle 3x-11 + 2x+11 + 2y = 180. plug in x and simplify to get 2y+110=180, so 2y=70 and y=35

Need help with the answer it’s confusing

Answers

16±0.12

Step-by-step explanation:

%uncertainity=uncertainity÷measured value×100%

0.75×16=100x

x=12÷100

x=0.12

ANS;16±0.12

Three years ago Atul's age was four times Parul's age. After 5 years from now, Atul's age will be two times Parul's age. Find their present ages.​

Answers

Answer:

Parul's age=7 years

Atul's age=19 years

Step-by-step explanation:

Let present age of Parul be x

Let present age of Atul be y

3 years ago

Parul's age=x-3

Atul's age=y-3

5 years after

Parul's age=x+5

Atul's age=y+5

According to question

y-3=4(x-3)

y-3=4x-12

y-4x+9=0.....(1)

y+5=2(x+5)

y+5=2x+10

y-2x-5=0......(2)

from(1),y=4x-9

Put y in (2)

4x-9-2x-5=0

2x-14

2x=14

x=7

y=19

Parul's age=7 years

Atul's age=19 years

question y+5/y+6=5/4
pleas answere this question it is really hard for me I will be thankfull

Answers

Refer to the attachment.

=》y = -10

_____

Hope it helps ⚜

If total advertising expenditures on television advertising declined 4.1% to $141.7 billion in the current year, how much was spent on television advertising in the previous year? Round your answer to one decimal.

Answers

Using proportions, it is found that $147.8 billion was spent on television advertising in the previous year.

$x, in billions, was spent on advertising expenditures on television last year.This year, the amount declined 4.1%, hence it is 100% - 4.1% = 95.9% of last year's amount, that is, 0.959x.

This year spending's is of 141.7 billion, hence, the equation is:

[tex]0.959x = 141.7[/tex]

[tex]x = \frac{141.7}{0.959}[/tex]

[tex]x = 147.8[/tex]

$147.8 billion was spent on television advertising in the previous year.

To learn more about proportions, you can take a look at https://brainly.com/question/24372153

HELLO CAN SOME ONE WHO IS GOOD AT MATH ANSWER THIS PLEASE

Answers

Its the first equation, y < -1/3x +2

2. Let f(x) = 4x + 12 and g(x) = 4x2 – 12.

(a) What is the inverse of function f?

(b) Is f an inverse of g? Show your work algebraically and explain your answer

Answer:​

Answers

Answer:

  (a) f^-1(x) = 1/4x -3

  (b) f is not the inverse of g

Step-by-step explanation:

(a)

The inverse of function f can be found by solving ...

  x = f(y)

  x = 4y +12

  x -12 = 4y

  x/4 -3 = y

The inverse of function f is ...

  f^-1(x) = 1/4x -3

__

(b)

g(x) ≠ f^-1(x), so g^-1(x) ≠ f(x). Function f is not an inverse of g.

_____

Additional comment

Function g is a quadratic, so it doesn't have an inverse function, except on a restricted domain.

Because g is 2nd degree, any inverse relation will involve a 1/2 power (square root). Both f and its inverse are linear functions, so cannot be inverses of g.

the best season for the new york mets basball team was 1986. they won 2/3 of the games they played and won the world series, beating the boston red sox. if the mets played 62 gmaes, how many did they win?

Answers

Answer: do 2/3 of 62, or 2/3 x 62

convert 2/3 to a decimal (0.666)

0.666x62 = 41.292

Step-by-step explanation:

40 hours is what part of 120 hours

Answers

Answer:

1/3 part of 120 hours....

Solve for X Enter the answer only with no spaces between numbers, symbols, and or variables

Answers

Answer:

x=-23

Step-by-step explanation:

Since 180° is a straight line you must find a way to get 180 by adding 97°,106°, and x.

Therefore, x must be equal to -23.

Express the following numbers in usual form:
(i) 8.02×10^-5
(ii) 4.5×10^3
(iii) 7×10^-5
(iv) 1.0001×10^8
(v) 4.3×10^12
(vi) 3.61492×10^5

Answers

(i) Given number = 8.02×10^-5

⇛ 8.02/100000

⇛ (802/100)/100000

⇛ 802/10000000

⇛ 0.0000802

The usual form of 8.02×10^-5 is 0.0000802

(ii) Given number = 4.5×10³

⇛4.5×1000

⇛ (45/10)×1000

⇛ 45×100

⇛ 4500

The usual form of 4.5×10³ is 4500

(iii) Given number = 7×10^-5

⇛ 7/100000

⇛ 0.00007

The usual form of 7×10^-5 is 0.00007

(iv) Given number = 1.0001×10⁸

⇛ 1.0001×100000000

⇛ (10001/10000)×100000000

⇛ 10001×10000

⇛100010000

The usual form of 1.0001×10⁸ is 100010000

(v) Given number = 4.3×10¹²

⇛ 4.3×1000000000000

⇛ (43/10)×1000000000000

⇛ 43×100000000000

⇛ 4300000000000

The usual form of 4.3×10¹² is 4300000000000

(vi) Given number = 3.61492×10⁵

⇛ 3.61492×100000

⇛ (361492/100000)×100000

⇛ 361492

The usual form of 3.61492×10⁵ is 361492

Solve the literal equation for the variable t:

Answers

Answer:

t=y÷x+3

Step-by-step explanation:

you have to isolate t

(I may have put the equation in the wrong order but I'm like 70% sure i got it)

the temperature of the fish tank must be atleast 68F but no more than 77F

Answers

Answer:

72 f

Step-by-step explanation:

Algún jefazo:)))))))))))

Answers

Answer:

Step-by-step explanation:

Do you understand Geometry so far? What can help you improve learning Geometry?
Teyt style

Answers

Answer:

My graph. I can practice that can help.

Evaluate the expression
-11^3
The value of the expression is

Answers

Answer: - 1331

Step-by-step explanation:

(-11)(-11)(-11)

(121)(-11)

- 1331

these are the last 2 I need

Answers

Answer:

A and A

Step-by-step explanation:

Felicia is a long-distance runner. She is able to run the first 2 hours of a training run at a certain rate. The rate at which she runs after her first 2 hours decreases for the remainder of her training run. On Monday, Felicia runs x hours, where x≥2. The average rate at which Felicia runs for the entire training run is represented by 13+6(x−2)x. What is the meaning of the parts of this rational expression in the context of the situation? Select from the drop-down menus to correctly complete each statement.

Answers

Answer:

 total distance of Felicia's training run

 first two hours  x  = 2....so we have

[ 13 + 6(2 - 2)  ]  / 2  =  13 / 2  =  distance / rate  =  = 6.5  mph ⇒  "c"

 distance covered in 4 hrs  =

 [13 + 6( 4 - 2) ]  =  13 + 6(2)  =  13 + 12  =  25 miles

 But  she ran  13 miles the first two hours

 So....she must run 12 miles the last two hours   ⇒   "c"

 

Please help I really need help
(40 points)
Match each theorem with its description.
1.
If two angles form a pair of vertical angles, then they are congruent.
2.
The sum of the measures of the interior angles of a triangle is 180°.
3.
If two sides of a triangle are congruent, then the angles opposite those sides are congruent
4.
The midsegment of a triangle is parallel to the third side and its length is one-half the length of the third side.
5.
If two parallel lines are intersected by a transversal, then corresponding angles are congruent.
6.
If two parallel lines are intersected by a transversal, then alternate interior angles are congruent.
7.
If two parallel lines are intersected by a transversal, then the alternate exterior angles are congruent
8.
If two parallel lines are intersected by a transversal, then the same-side interior angles are supplementary.

Match

Triangle Sum Theorem

Alternate Exterior Angles Theorem

Alternate Interior Angles Theorem

Same-Side Interior Angles Theorem

Corresponding Angles Postulate

Isosceles Triangle Theorem

Vertical Angles Theorem

Triangle Midsegment Theorem

Answers

Answer: Did you get it or do you still need help (which ones do you need help with)

Step-by-step explanation:

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