The length of a rectangle is 15cm more than its width and perimeter is 150cm. Find the length and width of the rectangle.

Pls help as I'm preparing for my exams

Answers

Answer 1

Answer:

Hope this helps you..

Brainliest plsssss

All the Best for your exams

Step-by-step explanation:

let the breadth=x

the length  =x+15

given perimeter= 150

Perimeter of rectangle = 2x(l+b)

150 = 2( x+ x+15)                            

75 = 2x +15

60 = 2x

30=x  

therefore breadth = 30 cm  

length   = 30 +15  = 45 cm

Verification:

150 = 2( 45+30)

150 = 2(75)

150 = 150  

LHS=RHS

Hence, proved..

Answer 2

Answer:

Step-by-step explanation:

Let the breadth(b) be x . Then by the question

Length (L) = ( x + 15 )cm

Perimeter = 150 cm

or 2( L + b) = 150

2 ( x + 15 + x ) = 150

2x + 15 = 75

2x = 75 - 15

2x = 60

x = 30 cm

Therefore breadth or width is 30 cm

Similarly

Length = 30 + 15 = 45

hope it helps :)


Related Questions

One dozen students each drop a brass tack six times from a height of six inches onto a level hard surface. They record the number of times the tack lands point up. The table below lists their results.
What was the experimental probability that the tack lands point-up for student 4?

Answers

Experimental Probability = 2/3

To find the experimental probability that the tack lands point-up for student 4, we can use the following equation

[tex]\frac{Point-up}{Attempts}\\\frac{4}{6} or\frac{2}{3}[/tex]

If this helped you a Brainliest would be appreciated!

Answer:

0.75

Step-by-step explanation:

The balance in Al's account is $ 32.60 . The balance in Dee's account is 3 4 the balance in Al's account. The balance in Zac's account is $ 49.08 less than the balance in Dee's account. What is the balance in Zac's account?

Answers

Answer:

Balance in Zac's account = - $24.63

Step-by-step explanation:

Given:

Balance in Al's account = $32.60

Balance in Dee's account = 3/4 the balance in Al's account

Balance in Zac's account = balance in Dee's account - $49.08

Find:

Balance in Zac's account

Computation:

Balance in Dee's account = 3/4 the balance in Al's account

Balance in Dee's account = [3/4][32.60]

Balance in Dee's account = $24.45

Balance in Zac's account = balance in Dee's account - $49.08

Balance in Zac's account = $24.45 - $49.08

Balance in Zac's account = - $24.63

Write the equation of a line going through the points: (1, -2) and (-2, 4)

Answers

Answer:

Step-by-step explanation:

y=-2x

Select all statements that show correct reasoning for finding 15 ÷ 2/9 * Multiply 15 by 2, then divide by 9. Multiply 15 by 9, then divide by 2. Multiply 15 by 1/9, then multiply by 2. Multiply 15 by 9, then multiply by 1/2

Answers

Answer:

Multiply 15 by 9, then divide by 2.

Step-by-step explanation:

We need to solve the given expression.

[tex]15\div \dfrac{2}{9}[/tex]

We know that, [tex]a\div \dfrac{b}{c}=a\times \dfrac{c}{b}[/tex]

We have,

a = 15, b = 2 and c = 9

So,

[tex]15\div \dfrac{2}{9}=15\times \dfrac{9}{2}\\\\=\dfrac{15\times 9}{2}\\\\=\dfrac{135}{2}\\\\=67.5[/tex]

So, the steps are "Multiply 15 by 9, then divide by 2".

Is that right? I'll post the pic

Answers

Answer:

I believe it is, I skimmed across it looks accurate to me

Step-by-step explanation:

8 7/8 divided by 2 1/2 feet

Answers

71/20 or 3.55 as a decimal

Answer:

3.55

Step-by-step explanation:

First you must reduce the problems so they do not have a whole. then just divide. You can also use a calculator.

A
B
с
D
[1]
Which carboxylic acid has an M. of 46?
A
butanoic acid
B
ethanoic acid
С
methanoic acid
D
propanoic acid
D
B


Guys please helpppp I have an exam

Answers

Answer:

d is the answer young man

please helpppppppp , thank you!

Answers

Answer:

1/2 is likely but I'd rather go with 2

Grant made a $2800 investment that piece is simple interest rate at 6% per year. To the nearest hundredth which of the following is the amount of interest here and after one year

F. $1,680.00
G. $46.67
H. $466.67
J. $168.00

Please help ASAP

Answers

F i just did that question on a test a while ago

Answer:

$1,680 - F

Step-by-step explanation:    

You do 2800 x 0.6 in ur calculator which is 1680..

NOTE:I haven't done 5/6th grade math in so long.. So correct me if I am wrong please.But I tripple checked this.

Container A has 200 Liters of water, and is being filled at a rate of 6 liter per minute. Container B has 500 Liters of water, and is being drained at a rate of 6 liters per minute. How many minutes will it take for both containers to have the same amount of water.

Answers

Answer:

25 minutes

Step-by-step explanation:

let x represent total time when both containers to have the same amount of water.

the equation to represent container A = 200 + 6x

the equation to represent container B = 500 - 6x

Because both containers would have the same amount of water,  the two equations would be equal to each other

200 + 6x = 500 - 6x

collect like terms

12x = 300

x = 300/12

x = 25 minutes

Giving brainlist to whoever answers

Answers

Answer:

C 2496 in3

Step-by-step explanation:

Answer:

2496 in3

Step-by-step explanation:

Volume = LWH

24*8*13 = 2496

what is the circumference area?

Answers

I believe the circumference is 52.15.

Please answer need fast

Answers

Answer:

B is the correct ans

please mark brainliest

Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

Answer:

Hexagon

Step-by-step explanation:

It has more than 3 sides because it is more sides than a triangle and less than 5 since it has to be fewer sides than a pentagon. A hexagon has 6 sides meaning it has more sides than the pentagon.

Answer:

It should be hexagon

Step-by-step explanation:

Hex equals 6 and quad equals 4, so it would not be quadrilateral or square or recanatgle. So hexagon is your answer.

hello please help i’ll give brainliest

Answers

The answer is D. Alloys

Answer:

Step-by-step explanation:

Both arsenic and lead can be / are poisonous, so "poison" is the best response here.

In ΔWXY,m∠W=(2x−12)m∠X=(2 x+17), and∠Y=(9x−7). Find∠X.

Answers

Answer:

x = 15

Step-by-step explanation:

2x + 17 = X

x=17-2

= 15

therefore x = 15

2 easy questions for 35 points

Answers

Answer:

for question 5

(1) 9x > 3x + 6

6x > 6

x=1

(2) $100-$10=$90

$90/5=18

Joan would need to work 18 hours

for question 6

P+ (PRT)/100

475 + 475(8.5)(12)/100

475+484.5

= 959.5

I hope this helped you ;)

20 POINTS PLS FAST
Which situation could NOT represent a proportional relationship?

A The amount a babysitter who makes $7.50 per hour earns in h hours

B The cost of purchasing p pounds of oranges for $1.35 per pound

C The number of gallons of water in x barrels with 13 gallons of water in each barrell

D The weight in x weeks of a cat that gains 1 pound per week if its starting weight is 4 pounds

Answers

Answer:

d

Step-by-step explanation:

i think its d

Please help I will give brainliest IF IT IS CORRECT

Answers

Answer:

third graph and (3, -1)

Step-by-step explanation:

y = 2/3x - 3

y = -2x + 5

2/3x - 3 = -2x + 5

2 2/3x = 8

8/3x = 8

8x = 24

x = 3

find 'y'

y = -2(3) + 5

y = -1

The third graph is correct because it shows both a line intersecting the y-axis at -3 and the negative slope line is crossing at +5

If the measure of two angles in a triangle are 60 and 100 degrees, what is the measure of the third angle? a. 20 degrees) b. 50 degrees) c. 30 degrees) d. 180 degrees)

Answers

Answer:

A. 20 degrees

Step-by-step explanation:

All triangles have 180 degrees in total !

using that info,

100+60= 160

180-160 = 20

Find the sum: (x^5 - 2x^4 + 3x^2 - 6) + (3x^4 + 4x^2 + x + 4). Enter your answer as a
polynomial in descending order below, and use the caret (^) for exponents.
For example, you would write 4x2 as 4x^2.

Answers

Answer:

The sum of the two equation is [tex]x^5 + x^4 + 7x^2 + x -2[/tex]

Step-by-step explanation:

The given two equations are

[tex](x^5 - 2x^4 + 3x^2 - 6)\\ (3x^4 + 4x^2 + x + 4)[/tex]

Now rearranging the two equation in such a way that variables with similar with same power are grouped together -

[tex]x^5 - 2x^4 + 3x^4 + 3x^2 + 4x^2 + x- 6+ 4\\x^5 + x^4 (3-2) + x^2 (3+4) + x -6+4\\x^5 + x^4 + 7x^2 + x -2[/tex]

im just clueless i need help

Answers

Answer:

.....

Step-by-step explanation:

on what

Answer:

I didn't help because you did not ask any questions

A triangle has one side which is 1 foot long and another side which is 2 feet long.
Write a value that could be the length of the third side, in feet. Show your work.

Answers

Answer:

Is the triangle a right triangle?

-3x + y = 7
5x+ 2y = 3
Substitution?

Answers

Answer: r=-1,y=4

Step-by-step explanation:

The transformation of 'f' is represented by 'g'. Write a rule for g. f(x)=\root(3)(x). Then show your check steps.

Answers

Answer:

[tex]g(x)=-2\sqrt[3]x[/tex]

or

[tex]g(x) = -2f(x)[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \sqrt[3]x[/tex]

Required

Write a rule for g(x)

See attachment for grid

From the attachment, we have:

[tex](x_1,y_1) = (-1,2)[/tex]

[tex](x_2,y_2) = (1,-2)[/tex]

We can represent g(x) as:

[tex]g(x) = n * f(x)[/tex]

So, we have:

[tex]g(x) = n * \sqrt[3]x[/tex]

For:

[tex](x_1,y_1) = (-1,2)[/tex]

[tex]2 = n * \sqrt[3]{-1}[/tex]

This gives:

[tex]2 = n * -1[/tex]

Solve for n

[tex]n = \frac{2}{-1}[/tex]

[tex]n = -2[/tex]

To confirm this value of n, we make use of:

[tex](x_2,y_2) = (1,-2)[/tex]

So, we have:

[tex]-2 = n * \sqrt[3]1[/tex]

This gives:

[tex]-2 = n * 1[/tex]

Solve for n

[tex]n = \frac{-2}{1}[/tex]

[tex]n = -2[/tex]

Hence:

[tex]g(x) = n * \sqrt[3]x[/tex]

[tex]g(x)=-2\sqrt[3]x[/tex]

or:

[tex]g(x) = -2f(x)[/tex]

The formula for throwing a baseball in the air is represented by h=-16t^2 + 12t + 40 where h is the height of the ball. What is the maximum height of the ball?

Answers

Answer:

the maximum height of the ball is 42.25 m

Step-by-step explanation:

Given the height function as;

h(t) = -16t² + 12t + 40

At maximum height, the final velocity of the ball will be zero.

The final velocity is calculated as follows;

[tex]v = \frac{dh(t)}{dt} = -32 t+ 12\\\\at \ maximum \ height\ v = 0\\\\Thus, -32 t+ 12 = 0\\\\32t = 12\\\\t = \frac{12}{32} \\\\t = 0.375 \ s[/tex]

At maximum height, the time of motion of the ball is 0.375 s.

The maximum height is calculated as follows;

h(t) = -16t² + 12t + 40

h(0.375) = -16(0.375)²   +   12(0.375)    +   40

h(0.375) = -2.25  +  4.5  +  40

h(0.375) = 42.25 m

Therefore, the maximum height of the ball is 42.25 m

the triangle below has an area of 25 units2, find the missing side

Answers

Answer:

[tex]x=5[/tex]

Step-by-step explanation:

[tex]A= 0.5 bh[/tex]

[tex]25=0.5 (10)h\\\\[/tex]

[tex]25=5h[/tex]

[tex]5h=25[/tex]

[tex]h=5[/tex]

[tex]-------[/tex]

please help with this. i can even give brainliest!!!!

Answers

Answer: i think 10

Step-by-step explanation:

PLEASEEE I NEED HELP



Given the function f(x) = x2 – 8x + 9
a) Use completing the square to express the given function in vertex form.
b) State the coordinates of the vertex.

Answers

Y=(x+4)^2-25 , (4,-25)

What is the PE of an object that is 15kg that is 5.0 M above the ground?

Answers

Answer:

735 J

Step-by-step explanation:

The potential energy of a body can be found by using the formula

PE = mgh

where

m is the mass

h is the height

g is the acceleration due to gravity which is 9.8 m/s²

From the question we have

PE = 15 × 9.8 × 5

We have the final answer as

735 J

Hope this helps you

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