The perimeter of a rectangle is 38". If the
length is 3" more than the width, find the
width:
9-A 17 1/2"
9-B 8"
9-C
11"
9-D 14 1/2"

Answers

Answer 1

Answer:

Length = 11"  and  width = 8".

Step-by-step explanation:

let L be the length of the rectangle

and w be its width.

Formula (perimeter P of a rectangle) :

P = 2 × (L + w)

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

Then

L = w + 3

and

P = 2 × (L + w)

  = 2 × (w + 3 + w)

  = 2 × (2w + 3)

  = 4w + 6

Solving the equation P = 4w + 6  for w :

P = 4w + 6

38 = 4w + 6

32 = 4w

w = 32 ÷ 4

   = 8

Determining the length L :

L = w + 3

L = 8 ÷ 3

  = 11

Conclusion:

L = 11  and  w = 8

Answer 2

Answer:

Width = 8"

Step-by-step explanation:

2(t+w) = 38              Eq. 1

t = w+3                     Eq. 2

t = length

w = width

From Eq. 2:

t+w = 38/2

t+w = 19

t = 19 - w                    Eq. 3

Replacing Eq. 3 in Eq. 2:

19 - w = w + 3

19 - 3 = w + w

16 = 2w

16/2 = w

w = 8

Frm Eq. 2:

t = w + 3

t = 8 + 3

t = 11

Check:

From Eq. 1

2(t+w) = 38

2(11+8) = 38

2(19) = 38


Related Questions

A child can choose one stuffed animal. She can choose from a dog or a bear. Each comes in brown, gray or white. You can also choose green eyes or blue eyes. How many possible stuffed animal choices does the child have?

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Step-by-step explanation:

[tex]2 \times 3 = 6 \\ 6 \times 2 = 12[/tex]

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Answer:

-1 is the remainder

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945

Step-by-step explanation:

tell weather the ordered pair is a solution of the equation y=7x;(2,21)

Answers

Answer:

3,21 is

2,21 is not a proper ordered pair.

Step-by-step explanation:

Remark

It's not a solution

You can either use the x value to find out the proper y value

or

You can use the y value to find out the proper x value

Proper y value

Let x = 2

y = 7*2

y = 14

So the proper y value given that x = 2 is 14.

Proper x value

Let y = 21

21 = 7x                    Divide both sides by 7

21/7 = 7x/7

3 = x

But (2,21) is not a solution. (3,21) is.

What if the value of <5

Answers

Answer:

any number from -infinity to 4 is the value less then 5

Im im baby need help give crayons for answer 1+1=????

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Answer:1+1=2

Step-by-step explanation:

Yeah Bio

Suppose you receive a postcard from a good friend with a picture of the Golden Gate Bridge in San Francisco. The postcard is 3.5 inches high and 5.5 inches wide. The fine print on the postcard states that the scale of the picture is 1:19,600. Based on the scale, what's the actual length of the Golden Gate Bridge? O

A. 10,760 feet O B. 21, 552 feet O C. 8,980 feet O D. 8,167 feet​

Answers

Actual length of the Bridge = 8983.33 feet.

The scale is 1 unit = 19,600.

Height of the postcard is 3.5 inches.

So, original height of the bridge = 3.5 × 19,600 = 68,600 inches

= 5716.67 feet

Width of the postcard is 5.5 inches.

So, original width of the bridge = 5.5 × 19,600 = 107,800 inches

= 8983.33 feet

hope it helps

The correct option is (c) 8980 feet.

What is length ?The measurement or size of something from end to end is referred to as its length. To put it another way, it is the greater of the higher two or three dimensions of a geometric shape or object.  For example - A rectangle, for instance, has length and breadth as its dimensions. Two hours is an example of length for a movie. 12 inches is an illustration of length.

Given,

               length of the Bridge = 8983.33 feet.

                The scale is 1 unit = 19,600.

                Height of the postcard is = 3.5 inches.

So,

     Original height of the bridge = 3.5 × 19,600 = 68,600 inches

                                                       = 5716.67 feet

Width of the postcard is 5.5 inches.

So, original width of the bridge = 5.5 × 19,600 = 107,800 inches

                                                     = 8983.33 feet

Therefore, the original width of the bridge is 8983.33 feet .

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Which of these shows the complete factorization of 6x^2y^2-9xy-42

Answers

Answer:

3 • (2xy - 7) • (xy + 2)

Step-by-step explanation:

(((2•3x2) • y2) -  9xy) -  42

6x2y2 - 9xy - 42  =   3 • (2x2y2 - 3xy - 14)

The complete factorization of 6x^2y^2-9xy-42 is 3 (2x^2y^2 - 3xy - 14).

What is factorization?

factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.

The given expression is

[tex]6x^2y^2-9xy-42[/tex]

= [tex](((2\times3x^ 2) \times y^2) - 9xy) - 42[/tex]

The factorized form will be

=  [tex]3 (2x^2y^2 - 3xy - 14)[/tex]

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A bird is at the top of a tree 8 meters tall. You are on the ground, 10 meters away from the bird. How far are you
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Answers

Answer: 6 meters

Step-by-step explanation:

I had this question and got the answer right.

The distance from the base of the tree will be 6 meters.

What is a Pythagorean theorem?

The Pythagorean theorem says that the sum of the square of the perpendicular and the base will be equal to the square of the hypotenuse of the right-angle triangle.

Given that a bird is perched eight meters up in a tree. The bird is 10 meters away from you where you are standing.

From the Pythagorean theorem, the base will be calculated as:-

H² = P² + B²

B = √ ( H² - P² )

B = √ ( 10² - 8² )

B = √36

B = 6 meters

Hence, the 6 meters will separate you from the tree's base.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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A (34 + 25) ÷ 1/4

B 34 ÷ 25

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Answer:

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Step-by-step explanation

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

C. 40 and 50

Step-by-step explanation:

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Kyle bought some boxes of donuts. There were 4 donuts in each box, and Kyle bought 76 donuts in all. Write an equation, that when solved, will tell how many boxes, b, of donuts Kyle bought?

Answers

Answer:

b=76/4

Step-by-step explanation:

Since there are 4 donuts in each box, and 76 boxes total, then you know that you need to divide the number of donuts by the amount of donuts in each box. b= 19 if u needed that. Cheers

Answer:

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Step-by-step explanation:

Since there were 4 donuts in each box all you have to do is divide 76 by 4 since there is 76 donuts in all 76 ÷ 4 = 19 boxes (79 equally distributed into 19 boxes)

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Hi! The answer to your question is in the picture below

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Amiyah has two coupons from Macy's Department Store, one for $20 off
and another for 20% off. She wants to purchase a shirt for $64. Her
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Answer:Jermaine

Step-by-step explanation:

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TO
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Figure M

Answers

Answer:

rotation of 90° counterclockwise, then translation 3 down

The given figure has a rotation of 90° counterclockwise, then translation 3 down.

What is translation?

A translation moves a shape left, right, up, or down without turning it. The translated (or picture) shapes appear to be the same size as the original shape, showing that they are congruent. They've just moved in one or more directions.

The two figures given in the image are plotted on the coordinate plane having axis x and y.

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Which expressions are equivalent to the one below? Check all that apply. 5^3 • 5^x
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Answers

Hi there, I'll help you out :)

The expression that is equivalent to 5^3 • 5^x is A. If you solve the expression given in the question, you get 5^3 + x, which is exactly the same as the first choice.

- B gives you 15625

- C gives you 125x^3

- D gives you 15625^x

- E gives you 148,877^x

- F can't really be solved

Because none of the other answer choices match up, that leaves A as your only answer.

Hope this helps!

The expressions which are equivalent to the one given below are 5³⁺ˣ and 125 (5ˣ).

What are Expressions?

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given expression is,

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We have the product rule of exponents that,

xᵃ . xᵇ = xᵃ⁺ᵇ

Using the same here,

5³ . 5ˣ = 5³⁺ˣ ------(1)

Now the value of 5³ = 5 × 5 × 5 = 125

So, 5³ . 5ˣ = 125 (5ˣ) --------(2)

Hence the equivalent expressions are 5³⁺ˣ and 125 (5ˣ).

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Answers

They can because of zero property. If we set them equal to zero we get their roots which is 3 and -2. This is the same on the x axis which is goes through. We can mark these points.

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Answers

Answer: ITS 100% D.)12

Step-by-step explanation:

2x * 12 = 24 = 36

3x * 13 = 36

therefore, x= 12

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brainliest plz?

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Answers

B is correct

Converted and written correctly, your options are
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Answers

The answer is c because a triangle measures 180 but in this case it’s two so it’s 360 so first you add up all the given measurements and then you can subtract it from 360

David rode his bike a total of 214 miles from his house to the store. First he rode 34 mile from his house to his school. Then he rode 14 mile from his school to the library. Finally he rode from the library to the store. How many miles did David ride between the library and the store?

Answers

Answer:

166 miles

Step-by-step explanation:

Add the 34 miles he rode from home to school and the 14 miles he rode from school to the library.

34 + 14 = 48.

Subtract 48 from 214 to get 166

214 - 48 = 166

David rode 166 miles between the library and the store.

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Answers

Answer: The mean height of women in a country ages 20 29

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An experiment reported in Popular Science compared fuel economies for two types of similarly equipped diesel mini-trucks. Let us suppose that 12 Volkswagen and 10 Toyota trucks were tested in 90- kilometer-per-hour steady-paced trials. If the 12 Volkswagen trucks averaged 16 kilometers per liter with a standard deviation of 1.0 kilometer per liter and the 10 Toyota trucks averaged 11 kilometers per liter with a standard deviation of 0.8 kilometer per liter, construct a 90% confidence interval for the difference between the average kilometers per liter for these two mini-trucks. Assume that the distances per liter for the truck models are approximately normally distributed with equal variances.

Answers

Answer:

CI= [4.324 , 5.6758]

Step-by-step explanation:

The 90 % confidence interval for the normal distribution is given by

(x`1- x2` ) ± t ∝/2 (υ) .Sp √1/n1 + 1/n2

where Sp = √[n1-1 (s1)² + n2-1 (s2)²]/n1+n2-2

and n1= 12 n2=10

x1`= 16 km x`2 = 11km

s1= 1km s2= 0.8km

and degrees of freedom υ= n1+n2-2= 20

Here ∝/2 = 0.05

From the table we get the value of t∝/2 (υ) to be 1.725

Putting the values

Sp = √[n1-1 (s1)² + n2-1 (s2)²]/n1+n2-2

Sp= √11(1) + 9(0.8)²/20

Sp= √0.838=0.915

CI = (x`1- x2` ) ± t ∝/2 (υ) .Sp √1/n1 + 1/n2

CI = (16-11)± 1.725 * 0.915√1/12+ 1/10

CI = (5) ± 0.675819

CI=[ 4.324 , 5.6758]

Amanda spent half of her weekly allowance to play arcade games. To earn more money her parents let her mow the lawn for $8. What is her weekly allowance if she ended with $12

Answers

Answer:

two dollars

Step-by-step explanation:

12-8=4/2=2

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