A rectangle is 12 cm longer than it is wide. If its length and width are both decreased by 2 cm, its area is decreased by 108 cm². Find its original dimensions.

Answers

Answer 1

Let the width be "x" cm.

Then the length is "x+12" cm

And the area = x(x+12) = x^2+12x cm^2

----------------------------

Change the dimensions:

width = "x-2" cm

length = "x+10" cm

New area = (x-2)(x+10) = x^2 + 8x - 20 cm^2

------------------

Equations :

Old area - New area = 108 cm^2

x^2+12x -(x^2 + 8x - 20) = 108

4x + 20 = 108

4x = 88

x = 22 cm (original width)

x+12 = 24 cm (original length)


Related Questions

find the value of -7 + 3(-12) ÷ (-3)

A. -16
B. 5
C. -40
D. -19

Answers

Your answer to your question is going to be D)-19

The answer is 55. You need to use the rules above to find the actual measure for angle b

Answers

209 + 96 + 55 = 360

Step-by-step explanation:

A circle is 360 degrees

209 is part of the circle so find the difference between 360 and 209

360 - 209 = 151

If the two angles are equivalent to 151, then we find the difference between 151 and 96 to get the measurement for angle b

151 - 96 = 55

I read now that it says use the rules above, but I'm not seeing any rules in the picture so hopefully my steps are the rules you're referring to

why do math exist in school?​

Answers

Answer: I have no idea

Step-by-step explanation:

round the nearest tenth 11.34? A:11.3 B:12.34 C:12 SOMEONE PLZ HELP

Answers

Answer:

B is the asnwer

Step-by-step explanation:

Answer:

Your answer is A. 11.3

Step-by-step explanation:

To round to the nearest tenth of 11.34, you will be using the 4 to determine if the 3 (in the tenth place) will be rounded up or stay the same. Since 4 is under 5, the 3 will remain the same.

You’d like to see how many baseball and soccer games you can attend this spring. Travel time for basketball games is 2 hours and soccer games is 1 hour. You would like to spend no more than 15 hours traveling to the games. In total, you would like to attend at least 8 games.

Answers

4 basketball games and 7 soccer games

We have to attend 7 basketball games and 1 soccer game.

Given, we had two types of game namely basketball and soccer.

Travel time for basketball games is 2 hours and soccer games is 1 hour.

Let no. of basketball games be x and no of soccer games be y.

According to the question we would like to attend at least 8 games, so we have the inequality  [tex]x+y\geq 8[/tex]

And  we would spend no more than 15 hours traveling to the game, so [tex]2x+1y\leq 15[/tex].

[tex]x+y=8\\[/tex]

[tex]2x+1y=15\\[/tex]

On solving we get [tex]x=7[/tex] and [tex]y= 1[/tex].

Hence we have to attend 7 basketball games and 1 soccer game.

For more details on Equation follow the link:

https://brainly.com/question/10824691

What type of slope does (-7,8) and (-7,0) have?

Answers

Answer:

Undefined slope

Step-by-step explanation:

any number divided by 0 is undefined

-8/0

Answer: m=12/7

Step-by-step explanation:

I looked it up for you bro

A student has passed 60 percent of the 20 quizzes he has written so far successfully. If the student writes 50 quizzes during the year, and passes 80 percent of the remaining quizzes successfully, what would his average percentile be?

Answers

Answer:

A student has passed 60 percent of the 20 quizzes he has written so far successfully mean:

successfully quizzes = 60 % of 20 quizzes = ( 60 / 100 ) * 20 = 60 * 20 / 100 = 1200 / 100 = 12

The remaining quizzes = 50 - 20 = 30 quizzes

80 percent of the remaining quizzes successfully mean:

The remaining successfully quizzes = 80 % of 30 = ( 80 / 100 ) * 30 = 80 * 30 / 100 = 2400 / 100 = 24

Total successfully quizzes = 12 + 24 = 36

Average = ( 36 / 50 ) * 100 % = 0.72 * 100 % = 72 %

Pls rate Brainliest!

Answer:73%

Step-by-step explanation:A student has passed 60 percent of the 20 quizzes he has written so far successfully mean:

successfully quizzes = 60 % of 20 quizzes = ( 60 / 100 ) * 20 = 60 * 20 / 100 = 1200 / 100 = 12

The remaining quizzes = 50 - 20 = 30 quizzes

80 percent of the remaining quizzes successfully mean:

The remaining successfully quizzes = 80 % of 30 = ( 80 / 100 ) * 30 = 80 * 30 / 100 = 2400 / 100 = 24

Total successfully quizzes = 12 + 24 = 36

Average = ( 36 / 50 ) * 100 % = 0.72 * 100 % = 72 %

pwease help thank you

Answers

Answer: -3

So, first off, judging from the h(x) graph, h(x)=-2x–1
So this is compositions or something like that; it’s been a year since I’ve done calculus but here we go:
First, you must find f(6) by replacing every x in that function by 6
f(6) = (1/2)(6) – 4
f(6) = (6/2) – 4
f(6) = 3 – 4
f(6) = -1
Now, since you’ve found f(6), now to find h(-1) (since f is -1 and h( f(6) ) is h(-1) )
h(-1) = 2(-1) – 1
h(-1) = -2 – 1
h(-1) = -3

So, the answer is -3

Need help with these bad

Answers

My camera kinda bad but you should be able to see the photo.

The sides of a rectangle have a length of x + 4 units and a width of 2x + 5 units. Which of the following represents the perimeter of the rectangle? Someone please help. I need it​

Answers

Answer:

B. 6x+18

Hope this helps!

Step-by-step explanation:

During a basketball season cathy sored 40% of her shots If she scored 140 goals how many shots did she make

Answers

Answer:

Step-by-step explanation:

Set up the following ratio. Let the total number of shots = x

40/100 = 140/x               Cross multiply

40x = 100* 140               Combine the right

40x = 14000                   Divide by 40

x = 14000/40

x = 350

She took 350 shots in total.

A granola bite contains 27 calories. Most of the calories come from grams of carbohydrates. The rest come from other ingredients. One gram of carbohydrate contains 4 calories.The equation represents the relationship between these quantities. What is the prolom asking you to find? * 4c + 5 = 27

Answers

Answer:

Quantity of carbohydrate in gram = 5.5 gram

Step-by-step explanation:

Given:

Amount of calories contain = 27

1 gram carbohydrate = 4 calories

Equation : 4c + 5 = 27

Find:

What is c

Computation:

Equation asking for quantity of carbohydrate in gram

So,

4c + 5 = 27

4c = 22

c = 5.5

Quantity of carbohydrate in gram = 5.5 gram

I NEED HELP ASAP WE ARE GIVING BRAILIEST AND POINT HURRY I NEED

HELP!!!Q.1) The total distance an ant crawls varies directly with the time in seconds. The ant crawls a total distance of 95 centimeters in 5 seconds.

What is the time in seconds the ant crawls when the total distance is 133 centimeters?
A.6 s
B.7 s
C.19 s
D.27 s

Answers

Answer: C

Step-by-step explanation:

not A or d

B or C

All I did was divide 95 and 5 and I got 19!

hope this helps!:)

Answer:

B.) 7 seconds

Step-by-step explanation:

We are given that the ant can crawl 95 centimeters in 5 seconds, which means that it can crawl 19 centimeters in 1 second (95 centimeters/5 seconds). Now you need to divide 19 from 133 (133 centimeters/19 centimeters per second), and you get 7 seconds.

In a city the distance between the libary and the police station is 3 miles less than than the distance between the police station and fire station the distance between the libary and police station is 5 miles how far apart are the police station and the fire station

Answers

Answer:

8 miles

Step-by-step explanation:

Given

Represent the police station with P, Library with L; Fire station with F

The first statement can be represented as:

[tex]L - P = P - F - 3[/tex]

The second can be represented as:

[tex]L - P = 5[/tex]

Required

Determine the distance between the police station and the fire station (P - F)

[tex]L - P = P - F - 3[/tex] --- (1)

[tex]L - P = 5[/tex] --- (2)

Substitute 5 for L - P in (1)

[tex]5 = P - F - 3[/tex]

Add 3 to both sides

[tex]3 +5 = P - F - 3 + 3[/tex]

[tex]3 +5 = P - F[/tex]

[tex]8= P - F[/tex]

[tex]P - F = 8[/tex]

3) 8x = 72
It’ll help

Answers

Answer:

9

Step-by-step explanation:

×=72/8

×=9

Hope it helps

Answer: 9

Step-by-step explanation: First, look for the value of x. A number with a variable in front of it means that you’ll be multiplying, but you can use division which makes it easier to find x. SO, DIVIDE 72 by 8 (82 ÷ 7), which equals to 9. (8 x 9 = 72)

Leigh is renting a moving van The function C (d) = 0.12d + 25 is used to relate the cost, C, in dollars of the rental after Leigh
uses the van for d miles. What is the interpretation of the slope for this function? (1 point)
The initial cost of the moving van is $0.12
The additional cost is $25 for each additional mile the van is driven
The initial cost of the moving van is $25.
The additional cost is $0.12 for each additional mile the van is driven

Answers

Answer:

The additional cost is $0.12 for each additional mile the van is driven ⇒ D

Step-by-step explanation:

The form of the linear function is

f(x) = m x + b, where

m is the rate

b is the initial value

In our question

The function C(d) = 0.12 d + 25 represents the cost C in dollars of the rental van uses for d miles

→ Compare it with the form of the linear function above

m = 0.12

b = 25

∵ The cost C depends on the number of miles d

$0.12 is the cost per mile ⇒ additional cost for each additional mile

$25 is the initial cost ⇒ initial cost of the moving the van

The interpretation of the slope for this function is:

The additional cost is $0.12 for each additional mile the van is driven

Answer:

+0.12

Step-by-step explanation:

The additional cost is 0.12 cents for each additional mile the van is being driven.

Can someone help me out please ?

Answers

it’s option 2, 8x^2+2x+8

Answer:

i think its option 1

Step-by-step explanation:

combine like terms 10a-10a+1

Answers

1 is the correct answer

Answer:

1

Step-by-step explanation:

10a and -10a would combine and cancel eachother out leaving you with 1

A rectangle that is 2 inches by 3 inches has been scaled by a factor of 7. 1.What are the side lengths of the scaled copy? 2. Suppose you want to scale the copy back to its original size. What scale factor should you use?​

Answers

for the first one it’s 14 by 21 inches


Solve for the value of s.


HELP PLS NOW 20 POINTS

Answers

Answer:

15

Step-by-step explanation:

82 + (7s - 7) = 180

   - subtract 82 from both sides

7s - 7 = 98

   - add 7 to both sides

7s = 105

   - divide both sides by 7

s = 15

can someone help me please, please hurry. I may mark brainiest

Answers

linear pair!!!!!!!!!!!!!!

What is 1 + 1? I forgot

Answers

Answer:

2

Step-by-step explanation:

HELP ME PLZZ I NEED HELP WITH THIS!!!

Answers

I believe the answer is letter A

Answer:

D because you're adding to negatives and you get a postive

1. Approximately fourteen 20-ounce plastic drink bottles must be recycled to produce 1 square foot of carpet. Write an expression for the number of bottles needed to make c square feet of carpet.​

Answers

Do you have the options?

what is an equation of the line in, point slope form, that passes through the given point and has the given slope?
point: (8,-8); slope: 3

Answers

Answer:

I hope this helps

Step-by-step explanation:

The answer is 3.453

Answer:

y + 8 = 3(x - 8)

Step-by-step explanation:

y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex]) Use point-slope form.

y - (-8) = 3(x - 8) Substitute [tex]y_{1}[/tex]for -8, m for 3, and [tex]x_{1}[/tex] for 8.

y + 8 = 3(x - 8) is the equation.

(I'd appreciate a brainliest! thanks)

pls help me...
A. y is all real numbers
B. y>0
C.-6</=x </=6
D.0 </=y </=8​

Answers

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[tex]0 \leqslant y \leqslant 8[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Thus the correct answer is (( D )) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Cuales son las 5 propiedades de la adición

Answers

Answer:

En realidad supongo que solo hay 4 no 5.

Step-by-step explanation:

f(x) = 10x - 2x2
find f(4)

A 24
B -22
C. -24
D. -8

Answers

Answer:

maybe try A

Step-by-step explanation:

What is the variable expression that represents the word phrase.
The product of 2 and x is increased by 7

Answers

Answer:

2x + 7

Step-by-step explanation:

The product of 2 and x

Product means multiplication

The product of 2 and x means multiplication of 2 and x

Which is equivalent to

2 * x = 2x

The product of 2 and x is increased by 7

That is, 7 is added to the product of 2 and x

Here,

2x + 7

The variable expression that represent the word phrase "The product of 2 and x is increased by 7" is 2x + 7

4. Which number is irrational?
A. (1.5)?
C. 149
D. (15)

Answers

The irrational number is (B)
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