17. The length of a rectangle is 3 inches greater than its width. The perimeter is 28 inches.
Find the dimensions of the rectangle.

Answers

Answer 1

Answer:

[tex] \boxed{ \bold{ \sf{ width \: of \: a \: rectangle = 5.5 \: inches}}}[/tex]

[tex] \boxed{ \bold{ \sf{length \: of \: a \: rectangle =8.5 \ \: \: inches}}}[/tex]

Step-by-step explanation:

Let the width of a rectangle be 'w'

Length of a rectangle = w + 3

Perimeter of a rectangle = 28 inches

To find : dimensions of the rectangle ( length and width )

Finding the width of a rectangle ( w )

[tex] \boxed{ \sf{perimeter \: of \: a \: rectangle = 2(l + w)}}[/tex]

[tex] \dashrightarrow{ \sf{28 = 2(w + 3 + w)}}[/tex]

[tex] \dashrightarrow{ \sf{28 = 2(2w + 3)}}[/tex]

[tex] \dashrightarrow{ \sf{28 = 4w + 6}}[/tex]

[tex] \dashrightarrow{ \sf{4w + 6 = 28}}[/tex]

[tex] \dashrightarrow{ \sf{4w = 28 - 6}}[/tex]

[tex] \dashrightarrow{ \sf{4w = 22}}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{4w}{4} = \frac{22}{4} }}[/tex]

[tex] \dashrightarrow{ \sf{w = 5.5 \: inches}}[/tex]

Width of a rectangle = 5.5 inches

Now, replacing / substituting the value of w in order to find the length of a rectangle

[tex] \sf{ length = 3 + w}[/tex]

[tex] \dashrightarrow{ \sf{length = 3 + 5.5}}[/tex]

[tex] \dashrightarrow{ \sf{length = 8.5 \: \: inches}}[/tex]

Length of a rectangle = 8.5 inches

Hope I helped!

Best regards! :D


Related Questions

Please help is due in 15mins​

Answers

Answer:

40. neither

41. Perpendicular

42. Parallel

43.  y= -4x+1

44. 2x-y=5

45. y=-3/2x-2

46.  -1/4x+y=5

Step-by-step explanation:

How do you do diamond problems

Answers

Heres a video link on that:


https://youtu.be/4lFIjfafySE

Hoped it Helped !!

Please help if you can. Mandy used the input and output in this table to write ratios. She concluded that because they are not all equivalent, this is not a proportional relationship. Is she correct? Explain.

Answers

Yes because proportional is another word for equivalent for example x times 5 = y would be the same as y divided by 5 = x hope this helped

Answer:

he last ratio is written incorrectly.

Mandy reversed the input and output in the numerator and denominator.

The correct ratio is 50/10.

The relationship is proportional.

The Johnson family is going to build a new home. They need to have working drawings of their house plans created by a design firm. They will choose between Rock the House Digital Designs and Elegant Home Architects. Rock the House Digital Designs charges $500.00 for the initial consultation with the Johnson family, plus $50.00 for every additional hour of work for the house plans. Elegant Home Architects charge $75.00 per hour for the house plans. Let ℎ represent the number of hours for which the Johnson family hires the design firm. Which of the following statements are true? Select all that apply.

Answers

Answer:

Statements B, D, E are TRUE

Step-by-step explanation:

A. The expression 50ℎ represents the total charge for Rock the House Digital Designs.

NOT TRUE

The expression 500 + 50h represent total charge for Rock the house digital design

B. The expression 75ℎ represents the total charge for Elegance Home Architects.

TRUE

Elegance Home Architects

75h

C. The cost for using Rock the House Digital Designs for an initial consultation only is $550.

NOT TRUE

The cost for using Rock the House Digital Designs for an initial consultation only is $500

D. If the Johnson family hires the design firm for 15 hours, then Elegance Home Architects will be cheaper.

TRUE

Rock the house digital designs

$500 + $50h

= 500 + 50(15)

= 500 + 750

=$1,250

Elegant home architect

$75h

= 75(15)

= $1,125

Elegant home architect is cheaper

E. If the Johnson family hires the design firm for 40 hours, then Rock the House Digital Designs will be cheaper.

TRUE

Rock the house digital designs

$500 + $50h

= 500 + 50(40)

= 500 + 2,000

= $2,500

Elegant home architect

$75h

= 75(40)

= $3,000

Rock the House Digital Designs will be cheaper.

a cab company charge s a flat rate of $2 plus and additional $0.50 for every mile traveled when Sara arrived at her destination her cab fare $7.50 write and solve and equation to determine how many miles sara traveled

Answers

s+0.50m=7.50
2+0.50m=7.50
subtract from both sides
(2-2)+0.50m=7.50-2
0.50m=5.50
0.50m/0.50=5.50/0.50
divide 0.50 from both sides
m=11
Sarah traveled 11 miles.

why is the quotient -100/(-5) the same as the quotient 100/5

Answers

Answer:The quotient of -100 and -5  is the same as the quotient of 100/5 because if you divide a negative number by a negative number, you will get a positive number and the same way if you divide a positive number by a positive number you will get a positive number.

Step-by-step explanation:

-100/-5 = 20

100/5 = 20

?????,?,????????????????,"&_#£$£¥$£$???​

Answers

B explination ?????????,????,? &#£$£$£$£$£$???
The answer is B?amandiodosoenwjdid

Ray KN is the angle bisector of angle JKL.
Explain how you could find m angle JKN
if you know m angle JKL.

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

Angle: JKL

Bisector: KN

Required

How to determine JKN if JKN is known

When a line bisects an angle into two, the angle are divided into two equal parts.

In this case, JKL is bisected by KN;

The resulting angles are JKN and NKL

So:

[tex]JKL = JKN + NKL[/tex] --------- (1)

From the explanation, we can understand that JKN and NKL hold the same value.

i.e. [tex]JKN = NKL[/tex]

So, (1) becomes

[tex]JKL = JKN + JKN[/tex]

[tex]JKL = 2JKN[/tex]

Divide by 2

[tex]JKN = \frac{JKL}{2}[/tex]

Take for instance; JKL =8

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

Sebastian compra una bicicleta en $8562; una pantalla de tv. Que cuesta el doble de la bicicleta y un refrigerador que cuesta $ 1500 más que el doble de la tv. ¿Cuánto gastó en total.?

Answers

Answer:

$61.434

Step-by-step explanation:

Teniendo en cuenta que el enunciado señala que la pantalla de tv cuesta el doble de la bicicleta, debes multiplicar el valor de la bicicleta por 2 para encontrar su precio:

Precio pantalla de tv=$8.562*2=$17.124

Además, el enunciado señala que el refrigerador cuesta $1.500 más que el doble de la tv, por lo cual para encontrar su precio debes multiplicar el valor de la tv por 2 y sumarle $1500:

Precio del refrigerador=($17.124*2)+$1.500

Precio del refrigerador=$34.248+$1.500

Precio del refrigerador=$35.748

Finalmente, el gasto total es igual a la suma de los precios de la bicicleta, la tv y el refrigerador:

$8.562+$17.124+$35.748=$61.434

De acuerdo a esto, la respuesta es que Sebastian gastó $61.434.

black panther ran 567.6km to the east 2.3 hours then turned around and ran 221.8km to the west in 1.2 hours. what was his average velocity during the trip in km/h?

Answers

Answer:

98.8 km/h

Step-by-step explanation:

Given that:

Distance traveled towards east, [tex]D_1[/tex] = 567.6 km

Time taken towards east, [tex]t_1[/tex] = 2.3 hours

After turning back:

Distance traveled towards west, [tex]D_2[/tex] = 221.8 km

Time taken towards west, [tex]t_2[/tex] = 1.2 hours

To find:

Average Velocity during the trip in km/h = ?

Solution:

First of all, let us consider the image attached in the answer area:

Let the black panther runs to point I from G and the turns back to point H.

GI = 567.6 km

IH = 221.8 km

Formula for Average Velocity is given as:[tex]\text{Average Velocity= }\dfrac{\text{Displacement}}{\text{Total Time Taken}}[/tex]

Here, Displacement will be GI - IH = [tex]D_1-D_2[/tex] =567.6 - 221.8 = 345.8 km

Total time taken = t_1+t_2 = 2.3 + 1.2 = 3.5 hours

[tex]\text{Average Velocity= }\dfrac{345.8}{3.5} = \bold{98.8\ km/h }[/tex]

The answer is:

Average Velocity = 98.8 km/h

Raymond built a “rocket" made from a cylinder and a cone. He filled the rocket
completely with water. What is the maximum number of gallons of water the rocket can
hold?
(231 in 3 = 1 gallon)
14in
16in
4in

Answers

Answer:

Rocket can hold maximum 4.5 gallons of water.

Step-by-step explanation:

Volume of the rocket = Volume of the cone on the top + Volume of the cylinder at the bottom

Volume of the cone = [tex]\frac{1}{3}\pi r^{2}h[/tex]

Here r = radius of the circular base

h = height of the cone

Volume = [tex]\frac{1}{3}\pi (4)^{2}(14)[/tex]

             = [tex]\frac{224\pi }{3}[/tex] cubic inch

Volume of the cylinder = [tex]\pi r^{2}h[/tex]

Here r = radius of the base

h = height of the cylinder

Volume = [tex]\pi (4)^{2}(16)[/tex]

             = 256π cubic inches

Volume of the rocket = [tex]\frac{224\pi }{3}+256\pi[/tex]

                                   = [tex]\frac{992\pi }{3}[/tex]

                                   = 1038.82 cubic inches

Since 231 cubic inches volume of a rocket can hold water = 1 gallon

Therefore, 1038.82 cubic inches space can hold water

= [tex]\frac{1038.82}{231}[/tex]

= 4.497

4.5 gallons

Rocket can hold 4.5 gallons of water.

URGENT! find the smallest whole number when divided by 4 gives a remainder of 3, when divided by 3 gives remainder of 2, when divided by 2 gives a remainder of 1

Answers

Answer:

11 is the smallest whole number when divided by 4 gives a remainder of 3, when divided by 3 gives remainder of 2, when divided by 2 gives a remainder of 1

. Answer:1.when divide by 4 and gives a remainder of 3 = 12

2 .when divided by 3 gives a remainder of 2 = 6

3. when divided by 2 and gives a remainder of 1 = 2

Step-by-step explanation:

1. 12 ÷ 4 = 3

2. 6 ÷ 3 = 2

3.2 ÷ 2 = 1

If someone can guess whether I live in an apartment condo or house? Also, what floors do I have? 3, 2, and 4. Choose ALSO, I'll mark as brainliest

Answers

Answer:

house 3 floors

Step-by-step explanation:

i'm totally guessing i'm most likely wrong

Please show all work and not just the answers.

Answers

Answer:

(-1, 6)

Step-by-step explanation:

Midpoint formula:

xm = (x1 +x2)/2ym = (y1+y2)/2

For G(-7, 3) and H(5, 9) the midpoint:

((-7+5)/2, (3+9)/2) = (-1, 6)

Answer:

(-1,6)

Step-by-step explanation

use the midpoint formula:

(x 1 + x2 /2 , y1 + y2/2)

(-7+ 5 /2, 3+ 9 /2)

after simplfying

(-1,6)

Continue each pattern with the next two numbers.
1.7,14,8,16,10,20,14,

Answers

Answer:

7, 14, 8, 16, 10, 20, 14, 28, 22...

7 times 2 is 14, 8 times 2 is 16, 10 times 2 is 20, and so on.

hope this helps

Identify the converse of the conditional statement below. If it is a shirt, then it has sleeves. Sleeves are found on shirts. O Shirts have sleeves. If it is a shirt, then it does not have sleeves. If it has sleeves, then it is a shirt.​

Answers

the answer is: if it has sleeves, then it is a shirt

The complement of an angle is 10 less than 4 times the angle itself. What is the measure of the angle and its complement?

Answers

Answer:

Below.

Step-by-step explanation:

If the angle is x degrees then its complement is 90-x degrees.

So 90-x = 4x - 10

90 + 10 = 4x + x

5x = 100

x = 20.

and the complement is 90-20 = 70.

A page in Johanie’s workbook is torn, and one of the questions is cut off. She can read only the first part of the question: “In which quadrant would you find point P if the coordinates of P are (–5, ...” Assuming that P is not on an axis, what are the possible answers to this question?

Answers

Answer:

Quadrant 3 and Quadrant 4

Step-by-step explanation:

If the point is negative, then it will definetely be on the left side of the graph. The two quadrants on the left side are 3 and 4. Hope this helps!

How to find midpoint

Answers

Answer:

Midpoint of a Line Segment

Step-by-step explanation:

Add both "x" coordinates, divide by 2.

Add both "y" coordinates, divide by 2.

A store purchased an emerald pendant and marked it up 100% from the original cost of
$465. A week later, the store placed the emerald pendant on sale for 20% off. What was the
discount price?

Answers

Answer: $744

Explanation: to mark it up 100% they would double the price. The price was $930. 20% of 930 is 186. 930 minus 186 equals 744.

I can explain in 2 - 3 sentences why the interger -2 has a greater value than the integer -5. In order to solve 2 - 3 you __________________. The reason -2 has a greater value than -5 is because ________________________________________________.

Answers

Answer:

I can explain in 2 - 3 sentences why the interge,r -2, has a greater value than the integer, -5. In order to solve, 2 - 3, you SUBTRACT. The reason, -2, has a greater value than, -5, is because, -2, is a negative so, -2  is  bigger number than -5.

What is the solution to -4y=28 (please explain)

Answers

Answer:

y=-7

Step-by-step explanation:

when you multiply a negative by a negative, it turns into a positive. -4 x -7 will equal 28, so y=-7, hope this helps

What would c need to be for this equation to be no solutions? l x+8 l = c

Answers

Answer:

Basically  , anything  negative number.

The absolute value can not be less than 0

Step-by-step explanation:

Example

[tex]\left|x+8\right|=-8\\\\\mathrm{Absolute\:value\:cannot\:be\:less\:than\:0}\\\mathrm{No\:Solution\:for}\:x\in \mathbb{R}\\[/tex]

State a rule for multiplying and dividing unlike sign integers

Answers

Answer:

just multiply the absolute values and make them positive or negative

Step-by-step explanation:

for example:

2×2=4

-2×2=-4

Answer:

just multiply the absolute values and make them positive or negative

Step-by-step explanation:

for example:

2×2=4

-2×2=-4

Identify the real number that corresponds to the point plotted on the real number line.

Answers

The real number would be 1.5 or 3/2 or 1 1/2

what quadrant is -2 (radians) in?​

Answers

Answer:

From unit Symbol Equals Result To unit Symbol

1 quadrant quad. = 1.57 radians rad

Step-by-step explanation:

What is the answer. What is the unknown length

Answers

Answer:

9 cm

Step-by-step explanation:

i think 9 cm is the answer

The square of a number minus twice the number is 48. What is the number? (An explanation would be appreciated)

Answers

Step-by-step explanation:

The square of a number minus TWICE the number is 48

let the number be" X "

X^2-2X-48 = 0

(X - 8)(X + 6) = 0

x = 8 ᴏʀ X = -6

mark brainliest

Enter the decimal 0.56 as a fraction in simplest form. The simplest form of the decimal 0.56 as a fraction is

Answers

Answer:

7/25

Step-by-step explanation:

0.56 move two times to get rid of the point that will give you 56/100 divide by an digit that can go equally in both of them to the lowest form start from 2

3x-2 is less than or equal to -20

Answers

3x - 2 ≤ -20

Add 2 to both sides:

3x ≤ -18

Divide both sides by 3:

x ≤ -6

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