The perimeter of a rectangle is 48 inches. If the length is 2 more than the width, what is the length and width?

Only an algebraic solution is accepted

Answers

Answer 1

Answers:

Length = 13 inches

Width = 11 inches

=====================================================

Work Shown:

w = width, some positive number

w+2 = length, since it is 2 inches more than the width

P = perimeter of the rectangle

P = 2(width + length)

P = 2(w + w+2)

P = 2(2w+2)

P = 4w+4

We're told that the perimeter is 48 inches. So we'll set the previous result equal to 48 and solve for w.

P = 48

4w+4 = 48

4w = 48-4

4w = 44

w = 44/4

w = 11

The width is 11 inches.

w+2 = 11+2 = 13

The length is 13 inches.

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

Checking the answers:

P = 2(L+W)

P = 2(13+11)

P = 2(24)

P = 48

The answers are confirmed.

Answer 2
2L + 2W = 48

L + W = 24

(W + 7) + W = 24

W = 8.5 inches

L = 15.5 inches

Related Questions

Dan is 2 times the age of Thomas the sum of ages is 75 what is thomas age

Answers

Answer:

25

Step-by-step explanation:

thomas age = x

2x + x = 75

3x = 75

x = 25

Answer: Dan is 50, Thomas is 25

Step-by-step explanation: 75 divided by 3 = 25. 75 - 25 is 50

multiplacation of fractions
c solve (3/9) (-2/3) =

explain​

Answers

Step-by-step explanation:

(3/9) × (-2/3

=> {3×(-2)}/(9×3)

=> (-6/27). Ans.

Or

(3/9) × (-2/3)

=> -2/9 Ans.

Good Stuff is giving away free pens to each of the first 500 people who come in the store today. In the first hour, they gave away 30% of the pens. How many is this?

Answers

Answer:

150 pens given away

Step-by-step explanation:

10% of 500 is 50

50x3=150

500-150=350

Simplify
5(x + 3) - x + 2

Answers

Answer:

[tex]4x+17[/tex]

Step-by-step explanation:

1) Distribute

[tex]5(x+3)-x+2\\5x+15-x+2[/tex]

2) Add the numbers

[tex]5x+15-x+2\\5x+17-x[/tex]

3) Combine like terms

[tex]5x+17-x\\4x+17[/tex]

Answer:

4x+17

Step-by-step explanation:

So first we are going to have to use the distributive property

so

5*x and 5*3

Which is

5x and 15

So then we have,

5x+15-x+2

Now we just combine like terms

=4x+17

Hope this helps!! :)

Increase 100kg by 10%

Answers

Answer:

110 kg

Step-by-step explanation

a simple way is to just do 100 plus 10= 110

Kyle collects rainwater in two barrels. Last week one barrel collected 1.46 gallons of rainwater. The other barrel collected 0.751 gallon of rainwater.

What was the total amount of rainwater that Kyle collected last week?

Answers

Answer:

2.211 gallon of rainwater

Step-by-step explanation:

1.46 gallon + 0.751 gallon = 2.211 gallon


Let f(x)=x^2-4 and h(x) =x-5 find (f-h) (2)​

Answers

9514 1404 393

Answer:

  (f -h)(2) = 3

Step-by-step explanation:

(f -h)(2) = f(2) -h(2) = (2^2 -4) -(2 -5) = 0 -(-3)

(f -h)(2) = 3

-2x+y=1 solve with steps

Answers

Answer:

x=1 and y=3

Step-by-step explanation:

-2x1=-2

-2+3=1

So this answer makes sense

Answer:

y = 2x + 1

Step-by-step explanation:

Given: -2x+y=1

Add 2x to both sides: y=1+2x

Reorder: y = 2x + 1

I am not sure exactly what you need for this point, but here is the equation in y=mx+b form aka slope-intercept form

m = slope = 2

b = y-intercept = 1

Hope this helps, have a nice day :D

The daily change in barometic pressure for 4 days are: .05, .09, .04, and .18 inches. What is the mean change?​

Answers

Answer:

It means like swicthing up thing 09, 18, 04

Step-by-step explanation:

Simplify by rationalizing the denominator.
(4√15)/√5

Answers

I personally believe the answer would be 20 square root 3

The simplified form of the numerical expression (4√15) / √5 will be 4√3.

What is the value of the expression?

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

The ratio is given below.

⇒ (4√15) / √5

Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction are all part of the PEMDAS formula. To answer the problem properly and accurately, this rule must be followed.

⇒ (4√15) / √5

⇒ [4 × √(3 x 5)] / √5

⇒ (4 × √3 × √5) / √5

⇒ 4 × √3

⇒ 4√3

The simplified form of the numerical expression (4√15) / √5 will be 4√3.

More about the value of the expression link is given below.

brainly.com/question/23671908

#SPJ5

find the distance between (2,4) and (-2,-4)

Answers

Answer:

[tex]8.9444 = \sqrt{80} [/tex]

Step-by-step explanation:

the distance is equal to the magnitude or modulus of the vector between the coordinates,

to find the distance, find the vector then the magnitude,ie

vector=

[tex] \frac{4}{2} - \frac{ - 4}{ - 2 } = \frac{8}{4} [/tex]

distance=

[tex] | \sqrt{{8}^{2} + {4}^{2} } | = | \sqrt{64 + 16 } | \\ | \sqrt{80 } | = \sqrt{80} = 8.944[/tex]

kindly give me a brainliest

Here is a table of daily births of babies (per 100,000 people) for 12 of the most populous states in the US.



State

Daily births (per 100,000 people)

California

292

Texas

556

New York

288

Florida

28

Illinois

299

Pennsylvania

135

Ohio

193

Georgia

334

Michigan

239

North Carolina

130

New Jersey

214

Virginia

27



Assume that σ = 216.83 for the entire population of the United States. Calculate the standard error.

Answers

Answer:

uhhhh can you simplify better and show the actual graph

Step-by-step explanation:

Can someone help with a step by step?

Answers

Answer:

Pick option a and then write this in the box --> x^3(x - 1) (x - 83)

Step-by-step explanation:

x^5 − 84x^4 + 83x^3

= x^3(x - 1) (x - 83)

Answer:

x^3(x - 1) (x - 83)

Step-by-step explanation:

option a

use the distributive property to write an expression that is equivelent to 8(a+4).

8(a+4) = ___ a + ____

Answers

Expand 8(a+4)

Hence, 8a + 32

If there is a 75 x 50 hardwood top and bottom rail in this fence to connect the posts, how many 5.4 m long lengths of timber rail are needed to build the fence? No. of lengths 05 -​

Answers

Answer:

3,750

Step-by-step explanation:

because you need to do 7 * 75 * 50 and you will get the answer but it will be 3007 715 so that would be 7 3750h fences

Which equation has the correct sign on the product?

O A. (-9)(-8)= -72
O B. 35(-5) = -175
O C. 13.3 =-39
O D. (-15)4 = 60

No links plsss:()

Answers

Answer:

B

Step-by-step explanation:

(+)x(-)=(-)

(-)x(-)=(+)

Write an equation that expresses the relationship. Use k as the constant of variation.

x varies inversely as m.

Answers

Step-by-step explanation:

x = k/m

hope this helps. good luck!

Given the points (7, 6) and (-3, -4) find the slope.

Answers

the slope is y = x – 1 !!! you can find this by using the formula y2-y1/x2-x1 . but if ur lazy u can just use calculator.net’s slope calculator :)

I need help please thanks

Answers

Yes they are congruent.

Which graph represents the System of inequalities shown below? y < -2x + 2
y > x - 1

Answers

Answer:

The second one (Top right)

You already got it. Left bottom

HELP IM GIVING 20 BRAINLEIST PLZZZ

Answers

Answer:

oh no I don't no the answer boss and

I have a idea to solve this

kanna Sprite kudi answere yosi

Answer:

f(0) = -1

f(1) = 2

f(2) = 4

Step-by-step explanation:

umm math

Math Question For Math00999

Answers

the answer is y = -4/5x

HELP! find the value of x

Answers

Answer:

x = 12°

Step-by-step explanation:

To find the value of x, you have to subtract 65 from 180.

This is because angles on a straight line add upto 180 degrees, and 65 is the supplementary angle of 11x -17.

Hence,

11x - 17 + 65 = 180

11x + 48 = 180

11x = 132

x = 12

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solve pls brainliest

Answers

Answer:

2n-61

twice a number means 2 x n

61 less is just subtracting 61

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]2n - 61[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

Twice a number means that a number would be multiplied two times. '61 less than XYZ' means that 61 would be taken away from XYZ.

⸻⸻⸻⸻

"61 less than twice a number" would be: 2n - 61

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

10. The table below shows coordinate points
that model a proportional relationship. What is
the missing value in the table?
х
0
1
1.5
2
3
5
?
y
0
A. 4.5
B. 5
C. 6
D. 7.5

Answers

Answer:

— The table below shows coordinate points that model a proportional relationship. What is the missing value in the table? х 0 1 1.5 2 3 5 ? y

Step-by-step explanation:

Robert played baseball 14 times. Each time he played, he used 4 yellow balls and 3 white balls

Answers

What's the question?
no question? that’s just a statement

PLS HELP WILL MARK BRAINLIEST!! TY

Answers

Answer: x=23

Step-by-step explanation:

180=(3x+18)+93

x=23

Answer:

x = 23°

Step-by-step explanation:

(180° - 93° - 18°) ÷ 3 = (87° - 18°) ÷ 3

= 69° ÷ 3

= 23°

your welcome :)

most people lose 100 to 200 hairs per.day if you were to.lose 150 hairs per day for 10 days what would be the change in the numbers of hair you have​

Answers

Your cutting the numbers in half

Evaluate f(x)=x+6 when x = -2, 0, and 5.

Answers

Answer:

f(5) = 11 , f(0) = 6 , f(-2) = 4

Given expression:

f(x) = x + 6

Find:

f(−2), f(0), f(5)

Computation:

f(x) = x + 6

When x = -2

f(-2) = -2 + 6

f(-2) = 4

When x = 0

f(0) = 0 + 6

f(0) = 6

When x = 5

f(5) = 5 + 6

f(5) = 11

Step-by-step explanation:

For f(x) = px +q and g(x) =
X-9), p70, find (fog)(x) and (g of)(x). Then determine whether (fog)(x) = (gof)(x).

Answers

Answer: f(x) = 2x

g(x) = x + 3

First let us find (fog)(x)

(fog)(x) = f(g(x)

= f(x+3)

= 2(x+3)

= 2x + 6

==> (fog)(x) = 2x + 6

Now let us find (gof)(x):

(gof)(x) = g(f(x)

= g(2x)

= 2x + 3

==> (gof)(x) = 2x + 3

Step-by-step explanation:

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