The length of a rectangle is 3cm more than its width.If the area of the rectangle is 28cm^2,find the width.

Answers

Answer 1

Answer:  The dimensions of the rectangle are 7 cm × 4 cm

Step-by-step explanation:

let,

Breadth of the rectangle (l) = x

Length of the rectangle (b) = x + 3

Area of the rectangle = 28 cm²

Area of the rectangle = l × b

⇒ (x) × (x + 3) = 28

⇒ x² + 3 x = 28

⇒ x² - 3 x - 28 = 0  

⇒ x² - 7 x + 4 x - 28 = 0

⇒ (x - 7) + 4(x - 7) = 0

⇒ (x - 7)(x + 4) = 0

⇒ x = 4

Breadth = 4 cm

Length -

⇒ 4 + 3

⇒ 7 cm


Related Questions

HELPS

What is the solution to the system of
equations?
2x + 5y = 43
y = x + 3
A) (4,5)
B) (4,7)
C) (5,4)
D) (7,4)

Answers

your answer is b) 4,7

x=4 y=7
the correct answer is B (4,7)

jacob travels 55 miles per hour if he has traveled 82.5 miles how many hours has he traveled
I NEED THIS ASAP PLZZZ

Answers

Answer:

1.5 hours

Step-by-step explanation:

I divided 82.5 by 55. I dont know if it is correct

what is the value of the expression below?
1 2/8+2 3/4+3/8

A.3 8/20

B.3 8/12

C.4

D.4 3/8​

Answers

Answer:

D

Step-by-step explanation:

4⅜ hope that helps............

NEED HELP ASAP plzzz

Answers

Answer:

x = 40

Step-by-step explanation:

∠D = ∠ADB + ∠BDC

    = 30 + 40

    = 70°

In ΔBDC,

BD = CD

∠DBC = ∠DCB  {angles opposite to equal sides are equal}

∠DBC + ∠DCB + ∠BDC = 180  {Angle sum property}

2∠DCB + 40 = 180

             2∠DCB = 180 -40

             2∠DCB = 140

    ∠DCB= 140/2

∠DCB = 70°

In ΔADC,

x + ∠D + ∠C = 180

x + 70 + 70 = 180

x + 140 = 180

x = 180 - 140

x = 40°

In 2019, the New England Patriots played 16 football games. The ratio of the number of games they won to the the number of games they lost was 3/1. How many games did they win? How many games did they lose?​

Answers

Answer:

New England quarterback Tom Brady has the Patriots rolling again. ... In Week 2, they shut out the hapless Miami Dolphins, 43-0. ... Their start to 2019 has been so strong, even against opponents with a combined record ... and regress their win-loss records to account for the small number of games played.

Step-by-step explanation:

The number of games they won is 12 and the number of games they lost is 4 based on the given ratio.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Suppose the number of games they won is W and the number of games they lost is L.

As per the given

Total games L + W = 16

Ratio W/L = 3/1

W = 3L

L + 3L = 16

4L = 16

L = 4

And, W = 3 x 4 = 12

Hence"The number of games they won is 12 and the number of games they lost is 4 based on the given ratio".

For more information about ratios and proportions,

brainly.com/question/26974513

#SPJ2

Determine the x- and y- intercepts for the graph defined by the given equation.
x = -9

Answers

Answer:

X intercept is -3/7

Family spends $240 per week on food. If this is %16 of their income, what is the family's weekly income?

Answers

Answer: The family's weekly income is $1500

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

Work Shown:

x = weekly income (in dollars)

16% of x = amount spent on food per week

16% of x = 240

(16/100)*x = 240

0.16*x = 240

0.16*x/0.16 = 240/0.16

x = 1500

Pls Mark as brainliest

Answer:

1500

Step-by-step explanation:

16% of x = amount spent on food per week

16% of x = 240

(16/100)*x = 240

0.16*x = 240

0.16*x/0.16 = 240/0.16

x = 1500

Hope this helps :)

I need help finding the equivalent expression​

Answers

Answer:

6(4c-1z)

Step-by-step explanation:

-2 1/4 + 8 + (-1 3/4)

Answers

Answer:

4

Step-by-step explanation:

Answer:

Your answer is 4:)

Step-by-step explanation:

have a great day! brainliest?

SOMEBODY PLEASE HELP DUEE IN 20 MINUTES!!

Answers

x7 for the 6th equations

PLS I NEED HELP ASAP I DONT HAVE TIME IT ALSO DETECTS IF IT RIGHT OR WRONG.

Answers

12 inches, 180/30 is 6 and 2x6 is 12

12!!!!!!!!!!!!!!!!!!!!!!!!!!!!

-1 2/3 divided by (-2 1/5)

Answers

Answer:0.75757575757

Answer:

Fraction Form

25/33

Decimal Form

0.75

Step-by-step explanation:

First, convert the mixed fraction into an improper fraction, so it would look like:

-5/3 / (-11/5)

Next, divide. Remember, when multiplying fractions all you do is flip the one in parantheses and make both of them positive, so it would look like:

5/3 x 5/11

Finally, multiply so you do the two top numbers which is 5 x 5= 25 and the two bottom numbers so 11 x 3 is 33. Then your final answer is 25/33

Brandon made 80 cups of lemonade for his party. At the party, 10 cups of lemonade are finished eac hour. How many hours will Brandon's lemonade last?​

Answers

Answer:

8 hours

Step-by-step explanation:

let number of hours it takes to finish the cup be t,

we know that we have 80 cups, and we know we can finish 10 cups per hour so,

10t = 80 which is 10 times t = 80

Solve for t,

10t/10 = 80/10

t = 8

Jake bought 3 drawing pens for $8.07. Each pen costs the same amount. About how much did he spend for one pen? * 2 points

Answers

Given:

Jake bought 3 drawing pens for $8.07.

Each pen costs the same amount.

To find:

How much did he spend for one pen?

Solution:

Let x be the cost of each pen. Then

Cost of three pens = 3x

Jake bought 3 drawing pens for $8.07.

[tex]3x=8.07[/tex]

Divide both sides by 3.

[tex]x=\dfrac{8.07}{3}[/tex]

[tex]x=2.69[/tex]

Therefore, he spend $2.69 for one pen.

student Class: late: A sports company offers its employees an incentive if they each sell 40 pairs of athletic shoes in one week. The results are shown below. • John sold of this amount. • Kayla sold 55% of this amount • Juan sold 0.35 of this amount. How many total pairs of athletic shoes were sold by John, Kayla, and Juan?​

Answers

Answer:110

Step-by-step explanation:

( 8 2/4 + 2 1/6) - 5 2/12

Answers

Answer:

5 1/2 or 5.5

Step-by-step explanation:

=8 1/2+2 1/6-5 2/12

=17/2+ 2 1/6-5 2/12

=17/2+13/6-5 2/12

=32/3- 5 2/12

=32/3-31/6

=11/2

=5 1/2

What is the positive solution to this equation?

4x²+12x=135​

Answers

Answer:

4.5

Step-by-step explanation:

Solve the inequality 80+10>150

I will give most Brainiest award

Answers

Answer:

90<150

Step-by-step explanation:

add 80 and 10 put it in front of 150

ILL GIVE YOU BRAINLIEST SHOW YOUR WORK

Answers

Answer:

$94.12

Step-by-step explanation:

($94.11 + $52.75) + (-$25.20 + -$22.04 + -$8.50) =

($146. 86) - (-$55.74) =

$94.12

$94.12 is the account balance at the end of the month.

I’ll give brainliest to someone who helps me plsssss I need help quickkk plssss

Answers

Answer:

golden corral equation y=1.5x+15

western sizzlin equation y=2.5x+13

yes they are linear because if you were to graph them they would have a straight line and they would go upwards because the slope is positive

For which one you would pick would depend on how much you drink. If you drink a lot you should probably go to golden corral but if you dont drink that much then western sizzlin is probably the best choice.

12
Question 3 (a) Change 41% to a fraction.
Use / as the fraction bar For example 7/100] [
1 Point)
A percentage can be written as a fraction with
denominator (bottom) 100.
7
For example, 7%
100

Answers

Answer:

it should be 41/100. Percentage means the denominator in 100.

41/100. Percentage means the denominator in 100.

is the correct answer

32.4% of 191.2 Round to the nearest thousand

Answers

ANSWER: 61.9488
I think this is the right answer. I hope this helps

Please help! giving brainliest!!
Find the value of x. Then, find the measure of each angle.

Answers

Answer:

I need brainliest please

Step-by-step explanation:

Help :( please I need some

Answers

Answer:

21x-1=19x+11(by alternate exterior angle)

21x-19x=11+1

2x=12

X=12/2

X=6

Answer: 5
21x-1=19x+11, when you solve this equation you’ll get a solution of 5

what is the slope of the line ( -1,8 ) and ( 3, -4 )

Answers

Slope formula is : (y2-y1)/(x2-x1)
Plug in: (-4-8)/(3-(-1)
Solve: -12/4
= -3/1 or -3

Susie's dog is 2feet tall. When she measures her dog in inches he was 24 inches. Why is there an increase in inches

Answers

Given:

Susie's dog is 2 feet tall. When she measures her dog in inches he was 24 inches.

To find:

Why is there an increase in inches.

Solution:

It is given that Susie's dog is 2 feet tall.

We know that,

1 feet = 12 inches

Using this conversion, we get

2 feet = 2×12 inches

2 feet = 24 inches

So, the measures 2 feet and 24 inches are equal.

Therefore, if Susie's dog is 2 feet tall then he is 24 inches tall because both of these measure are equal.

Reshawn is buying 3 books in a trilogy set for $24.81. He will save $6.69 by buying the trilogy set instead of buying individual books. If each book costs the same amount, how much does each of the 3 books cost when purchased individually? Show your work.

Answers

$10.50

Explanation:

Let x be the cost of the individual books. Then 24.81=3x−6.69

3x= 24.81+ 6.69 =31.50

x=31.50/3=10.50

Manny ran a total of 77 miles over the course of 7 track practices. How many track practices would it take for Manny to run 99 miles? Assume the relationship is directly proportional.

Answers

Answer:

just add them up

Step-by-step explanation:

pls help
! will give brainlist

Answers

Answer:

(-2,4) is the point of intersection according to the graph

The slope of the graph of the equation y=2x-2 s 2 What is y-intercept

Answers

Answer:

Y=2x-2

2x is the slope

-2 is the y intercept

Step-by-step explanation:

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