A rectangle has a perimeter of 56 cm and an area of 96cm^2. Its length is 4 more than five times its width. What is the lenght and width of the rectangle?

Answers

Answer 1

Answer:

L= 24cm

W= 4cm

Step-by-step explanation:

Given data

Perimeter= 56cm

Area= 96cm^2

Let the width be x

W= x cm

L= 5x+4

P=2L+2W

56= 2(5x+4)+2x

56= 10x+8+2x

56-8= 12x

48= 12x

x= 48/12

x= 4cm

L= 5x+4

L= 5(4)+4

L= 20+4

L= 24cm


Related Questions

help me please!!!!!!!!!!!!!!!!

Answers

Answer:

The second store is cheaper

1st store is $290 and the 2nd is $257

Explain the process for determining sales tax and total purchase price.

Answers

Answer:

in most states sales tax is .07 cents for every dollar you spend. for food it is different

Step-by-step explanation:

3&4. using the diagrams, is there enough information given to prove that the triangles are congruent? if so, state the theorem you would use

5&6. name the third congruence statement that is needed to prove that ABC is congruent to XYZ using the given theorem

Answers

Answer:

3. There is enough information to prove that ΔABC and ΔDEF are congruent using the Angle-Side-Angle (ASA) congruency theorem

4. More information is required to prove that ΔGFH and ΔJKL are congruent

5. ∠B ≅ ∠Y

6. ∠A ≅ ∠X

Step-by-step explanation:

3. In triangle ΔABC, and triangle ΔDEF, we have;

Corresponding angles ∠A and ∠D are congruent

Corresponding angles ∠C and ∠F are congruent

Corresponding side in between the given angles [tex]\overline{AC}[/tex] and [tex]\overline{DF}[/tex] are congruent

Therefore ΔABC is congruent to ΔDEF by the Angle-Side-Angle (ASA) rule of congruency

4. The corresponding angles ∠F and ∠J in triangle ΔGFH and triangle ΔJKL are congruent as well as the corresponding adjacent sides to the given angles and the corresponding opposite sides to the given angles are congruent, however, there is not enough information to prove that the two triangles are congruent

The included angles, ∠H and ∠L between the sides congruent corresponding sides should be congruent or the other adjacent sides [tex]\overline{FG}[/tex] and [tex]\overline{JK}[/tex] to the congruent angles ∠F and ∠J should be congruent for the triangles ΔGFH and ΔJKL to be congruent

5. Given [tex]\overline{AC}[/tex] ≅ [tex]\overline{XZ}[/tex], ∠C ≅ ∠Z, using the Angle-Angle-Side, AAS, rule of congruency, we have;

The angles adjacent to ∠C and ∠Z, and opposite to [tex]\overline{AC}[/tex] and [tex]\overline{XZ}[/tex], which are B and ∠Y are congruent

Therefore, we have;

∠B ≅ ∠Y using AAS rule of congruency

6. Using Angle-Side-Angle, ASA, rule, given;

[tex]\overline{AC}[/tex] ≅ [tex]\overline{XZ}[/tex], ∠C ≅ ∠Z, then the angles on the other side of [tex]\overline{AC}[/tex] and [tex]\overline{XZ}[/tex] which are ∠A and ∠X should be congruent, we have;

∠A ≅ ∠X

the width if a rectangular room is 1 less than twice the length if the perimeter is 196 feet how long is the length

Answers

Answer:

l = 33 feet

Step-by-step explanation:

Let length be l.

Width, b = 2l-1

Perimeter of the room, P = 196

We know that the perimeter of the rectangle is given by :

P = 2(l+b)

196=2(l+2l-1)

98=3l-1

Adding 1 both sides.

98+1=3l-1+1

3l=99

l = 33 feet

So, the length of the room is 33 feet.

The temperature on Monday in Alaska is -24ºF. On Tuesday, the temperature rises 24ºF.

What is the temperature on Tuesday, in degrees Fahrenheit?

Answers

Answer:

0 degrees

Step-by-step explanation:

-24 + 24 = 0

Answer:

Wouldn't the answer be 0 degrees Farenheit?

Step-by-step explanation:

-24 + (+24)=0

solve the system using the any method:

x+3y=9
2x+5y=14

pls explain-

Answers

-3,4 is your answer
Sorry photo messed up and bad quality

6th grade math help me pleaseeee

Answers

Answer:

D :3 -Your friend, Bill Cipher

Step-by-step explanation:

Answer:

sqrt of 65, bc 8 squared is 64

What is the equation in slope-intercept form

( y = mx + b)?

A. y =13x -3/2

B.y = -3/2x + 13

Answers

Answer:

B

Step-by-step explanation:

Slope is rise/run, so the fraction would be more likely to be the correct answer.

Solve: 4n - 6 = 12
O n = 4
O n = -4
O n = 4.5
O n=-4.5

Answers

Answer:

4.5

Step-by-step explanation:

4n - 6 = 12

add +6 to both sides

4n = 18

divide by 4

4/4n = 18/4

n = 4.5

Stan has a rectangular piece of carpet with an area of 23.4 square meters. The piece of carpet is 13 meters long. What is the width of the piece of carpet? Solve this problem any way you choose.

Answers

Answer:

The breadth of rectangular carpet is 1.8 m

Step-by-step explanation:

23.4/13=1.8  sorry if this is not enough explanation

Can someone PLEASE help me with this question?

Answers

9514 1404 393

Answer:

  11

Step-by-step explanation:

The future value of the account is given by the formula ...

  A = P(1 +r/12)^(12t) . . . . principal P invested at rate r for t years

Solving for t, we find ...

  A/P = (1 +r/12)^(12t) . . . . . . . . . . . divide by P

  log(A/P) = 12t·log(1 +r/12) . . . . . . take logs

Divide by the coefficient of t, then fill in the numbers.

  t = log(A/P)/(12·log(1 +r/12)) = log(202800/93000)/(12·log(1 +.068/12))

  t ≈ 11.497

It will take about 11 years for the account balance to reach the desired amount.

Pls, answer for 20 points asap. I really need this

Answers

Its B then A

Step-by-step explanation:

Answer:

You helped me so it's B and A mark me brainliest please

Step-by-step explanation:

what is half of 1/4?

Answers

Answer:

It is 1/8

Step-by-step explanation:

If you split 1/4 into another half you will get 1/8

This is true because if you add 1/8 and 1/8 you get 2/8 which simplified is 1/4

A.The original price of a sofa is $500. Answer the following questions. If the sofa price decreased by 20%, what is the new price?
B. The company can’t sell the sofa after 3 weeks so they reduce the price to $320. What is the percent decrease?

Answers

Answer:

A. 25

B. 0.64

Step-by-step explanation:

Sorry there is no Step-by-Step explanation to this equation as I have generated an answer from my system.

--

Use: Division.

Use: PEMDAS

--

#LearningFromHome

Answer:

-36% decrease

Step-by-step explanation:

320-500=-180

-180/500=.36*100=-36%

Amir stands on a balcony and throws a ball to his dog, who is at ground level.The ball's height (in meters above the ground), x seconds after Amir threw it, is modeled by How many seconds after being thrown will the ball hit the ground?

Answers

Answer:

6 seconds

Step-by-step explanation:

The computation of the number of second would be

In the case when the ball would hit the ground, the ball height would be zero

So the following equation would be

[tex]0 = -(x -2)^2 + 16\\\\(x -2)^2 = 16\\\\x - 2 = \sqrt{16}\\\\x -2 = 4\\\\x = 6[/tex]

So the number of seconds is 6

will someone plz help me

Answers

the answer is none the right answer would be x>= -37/3
All you have to do is put in one of the numbers given and put it in the inequality as x. For example, in the picture you can see that I put in each of the numbers as x for the equations and checked which ones came out as false or true. The ones that came out as true are the correct answer. So the answer is 8 and 2.

Which of the following statements is FALSE?

A) If a function has a common 1st difference, it is linear.
B) If a function has a common 2nd difference, it is quadratic.
C) The highest exponent of a quadratic function is 3.
D) f(x) = (x + 4)(x - 5) is written in Intercept Form.

Answers

Answer:

no.

Step-by-step explanation:

2) Dan pays $42.95 per month for his cell phone. At
this rate, what will his cell phone cost for a year?


Please help !

Answers

$42.95 x 12 =
I will let you do the rest.

Answer:

$515.40

Step-by-step explanation:

Dan pays $42.95 per month for his cell phone. There are 12 months.

m=months

($42.95m) (12) = $515.40

What is the pattern for solving Benchmark Percentages of 100% ?

Answers

Answer: divide by 100 then times result by x

Step-by-step explanation: hope it helps

thx for points gl :)

Mary has 3636 flower pots. She plants daisies in \frac{2}{3} 3 2 ​ of her flower pots. In how many flower pots does Mary plant daisies? Use paper to show your work. Enter your answer in the box.

Answers

Answer: 24

Step-by-step explanation:

Number of flower pots = 36

Since she plants daisies in 2/3 of her flower pots, the number of flower pots that Mary plant daisies will be:

= 2/3 × 36

= 2 × 12

= 24

She plants daises in 24 flower pots

Dion ran 3.75 kilometers each day to prepare for a race. What was the number of kilometers that Dion ran during 28 days?

Answers

Answer:

Dion ran 105 kilometers in 28 days.

Step-by-step explanation:

3.75*28= 105

Dion ran 105 kilometers in 28 days.

Answer:

105 Kilometers

Step-by-step explanation:

3.75 times 28 equals 105.

can somebody please help i’ve posted this 1 time and people just used it for points

Answers

V=3.14 5^2x15-3.14x2^2x15
=3.14x15(5^2-2^2) <—21

≈989. 601685

≈989.1 <—(3.14)

326 is 28% of what number

Answers

Answer:

1164.29

Step-by-step explanation:

divide 326 by 28 then times by 100 to get 100% of the number

hellooooooooooooooooo

Heather wants to purchase an electronic guitar. The price of the guitar with tax is $2,420. If she can save $90 per month, how long will it take her to save up for the guitar?

Answers

Answer:

About 27 months with additional days

Step-by-step explanation: 2420/90 is 26.888888888888888888888888888889

percents and poprtions ​

Answers

It's C I'm pretty sure

The graph shows a proportional relationship. Which equation matches the graph?

A. y=2x
B. y=1/2x
C. y=4x
D. y=x​

Answers

Answer:

A. y=2x

Step-by-step explanation:

m=rise/run

rise=2

run=1

2/1=2

and that was the only equation with a slope of 2

To find the slope you have to do rise over run or basically count up on the far left line then to the side until it hits a point on the line

In your case is 2/1 meaning that the slope is y=2x

Letter A is the correct answer

Find x y and ABHG for brainliest

Answers

Answer:

because AB//EF//CD, using thales theorem in ABEF, we have:

[tex]\frac{12}{21}=\frac{15}{y}\\\\<=>y=\frac{15.21}{12}=26.25[/tex]

we also have: CD//EF//GH => using thales theorem in CDGH:

[tex]\frac{21}{x}=\frac{y}{10}\\\\<=>x=\frac{210}{y}=\frac{210}{26.25}=8[/tex]

with y = 26.25 => AB = 26.25 - 14 = 12.25

        x = 8 => GH = 5.8 - 3 = 40 - 3 = 37

+) the perimeter of ABHG = AB + AC + CE + GE + GH + HF + DF + BD

= 12.25 + 12 + 21 + 8 + 37 + 10 + 26.25 + 15

= 141.5

Step-by-step explanation:

2t + 9 + 4 + 3t = 23
full answer no word

Answers

Answer:

t = 2

Step-by-step explanation:

Simplify the expression (please)

Answers

Answer:

9(v-8)

[line]

v+6

Step-by-step explanation:

1. expand 4³
2.find the square of 49
3.list factors of 16
4.draw an array for the square number 16
5.calculate 6²
6.calculate 1⁴+2²=
7.calculate 2²+3²
here are my questions please help​

Answers

Answer:

1. 64

2. 7

3. 1, 2, 4, 8, 16

4.

5. 36

6. 5

7. 13

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