. The difference between the length and width of a rectangle is
7 cm. The perimeter of the rectangle is 22 cm. Find the length
and the width. (Remember, P= 21 + 2w.)

Answers

Answer 1

Answer:

Rectangle

Solve for length

l=4cm

w Width

7

cm

P Perimeter

22

cm

Using the formula

P=2(l+w)

Solving forl

l=P

2﹣w=22

2﹣7=4cm


Related Questions

I need help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

3

Step-by-step explanation:

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

Given Question

For the expression [tex]2x-5[/tex], evaluate it for [tex]x = (0, 1, 2, 3, 4, 5)[/tex].

From the evaluated set of values the mean absolute deviation rounded off to the nearest tenth is:

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

Evaluating the expression for the given values of x:

[tex]x=0 \implies 2(0)-5=-5[/tex]

[tex]x=1 \implies 2(1)-5=-3[/tex]

[tex]x=2 \implies 2(2)-5=-1[/tex]

[tex]x=3 \implies 2(3)-5=1[/tex]

[tex]x=4 \implies 2(4)-5=3[/tex]

[tex]x=5 \implies 2(5)-5=5[/tex]

Evaluated set of values: -5, -3, -1, 1, 3, 5

To find the Mean Absolute Deviation (MAD):

Calculate the mean (by summing the data values and dividing by the number of values)Subtract the mean from each value in the data set and take the absolute value of each result.Sum the absolute values from step 2.Divide by the number of values.

[tex]\sf Mean=\dfrac{(-5)+(-3)+(-1)+1+3+5}{6}=0[/tex]

Absolute values:

[tex]\sf|-5-0|=5[/tex]

[tex]\sf|-3-0|=3[/tex]

[tex]\sf|-1-0|=1[/tex]

[tex]\sf|1-0|=1[/tex]

[tex]\sf|3-0|=3[/tex]

[tex]\sf|5-0|=5[/tex]

Sum of absolute values = 18

[tex]\sf \implies MAD=\dfrac{18}{6}=3[/tex]

2(3/5x+3). How would I get that answer

Answers

Answer: [tex]\frac{6}{5}[/tex]x + 6

Step-by-step explanation:

       We will use the order of operations, also known as PEMDAS. See attached. Please note that we cannot do what is in the parentheses first because we have a variable, so we will distribute the 2 into it. Since this is an expression, I do not believe we can fully solve for x, but can only simplify.

       Given:

2(3/5x+3)

       Distribute:

2 * (3/5x) + (2 * 3)

6/5x + 6

       Answer:

[tex]\frac{6}{5}[/tex]x + 6

Hello, I am a little confused on how to do this problem. If anyone can help and explain also that will be awesome.

Answers

Answer:

4(5x-2)= 6(x+8)

20x-8=6x+48

20x-6x=48+8

14x=56

[tex]x = \frac{56}{14} [/tex]

x=4

Step-by-step explanation:

hope this helps you!!

XXITSCHOCOLOVERXX

Answer:

x = 4

Step-by-step explanation:

[tex]\frac{5x-2}{6}=\frac{x+8}{4} < == cross\ multiply\\\\4(5x-2)=6(x+8) < ==distribute\\\\4(5x)+4(-2)=6(x)+6(8)\\\\20x-8=6x+48 < ==subtract\ 6x\ from\ both\ sides\\-6x\ \ \ \ -6x\\\\14x-8=48 < == add\ 8\ to\both\ sides\\\ \ \ +8 \ \ \ \ \ \ \ +8\\\\14x=56 < ==divide\ both\ sides\ by\ 14\\/14 \ \ \ /14\\\\x=4 < ==final\ answer[/tex]

Check your answer:

[tex]\frac{5x-2}{6}=\frac{x+8}{4}\\\\\frac{5(4)-2}{6}=\frac{4+8}{4}\\\\\frac{20-2}{6}=\frac{12}{4}\\\\\frac{18}{6}=\frac{12}{4}\\\\3=3[/tex]

This statement is correct

Hope this helps!

John has 1010 items in his backpack, including 66 books. What is the probability that a randomly selected item from his backpack is a book?

Answers

Answer:

~6.534653% of randomly selected a book from his bag (I don't know how many decimals you need)

Step-by-step explanation:

Basically you just do (66 (books) /1010 (total items)) * 100 to find your answer because out of the total 1010 items in that bag there is only 66 that are books so its (66/1010)*100 to find your answer, the *100 is added to find the percentage.

9. A cooler contains 4.5 gallons of water and is filling up
at a rate of 0.1 gallons per second. A second cooler
contains 7 gallons of water and is draining at a rate of
0.25 gallons per second. Which could be used to
determine the number of seconds it would take for each
cooler to contain the same amount of water?

Answers

The equation that can be used to determine when each cooler would contain the same amount of water is 2.5 = 0.75t.

When the coolers would have the same amount of water?

Equation that can be used to determine the amount of water in the first cooler at time t : 4.5 + 0.1t

Equation that can be used to determine the amount of water in the second cooler at time t : 7 + 0.25t

Where t represents seconds

When they have the same amount of water, the two above equations would be equal

4.5 + 0.1t = 7 + 0.25t

Combine similar terms

7 - 4.5 = 0.1t - 0.25t

2.5 = 0.75t

To learn more about mathematical equations, please check: https://brainly.com/question/26427570

the diagram shows the cross-section of a wall of a cinema.

Answers

Answer:

280 m²£133

Step-by-step explanation:

The area of the wall is the sum of the areas of the different sections of the wall. The cost to paint it will be the product of the cost of a tin of paint and the number of tins required.

__

Here, the shape of the wall can be divided into two trapezoids and a rectangle. Each shape has a corresponding area formula. Left-to-right, their areas are ...

Left Trapezoid

  A = 1/2(b1 +b2)h

  A = 1/2(10 m +11 m)(4 m) = 42 m²

Middle Rectangle

  A = LW

  A = (13 m)(11 m) = 143 m²

Right Trapezoid

  A = 1/2(b1 +b2)h

  A = 1/2(11 m +8 m)(10 m) = 95 m²

Wall Area

The total area to be painted is the sum of the above areas:

  total area = 42 m² +143 m² +95 m² = 280 m²

The area that needs to be painted is 280 m².

__

A tin of paint covers 15 m², so the number of tins needed is ...

  (15 m²)t = 280 m²

  t = 280/15 = 18 2/3 . . . . . . divide by the coefficient of t

We can only buy whole tins, so we need to buy 19 tins. Their cost will be ...

  (£7 /tin)(19 tins) = £133

It will cost £133 to paint the wall.

Does anyone know if this is right?

In the diagram below, m//n. Select all of the angles that are congruent to 21

Answers

Not sure about Angle. 13

An outlet has a current of 10 amperes and a resistance of 14 ohms. Find the voltage difference.

Answers

V = IR
V = (10 amperes • 14 ohms)
V = 140 volts

The voltage difference for an outlet will be 140 volts.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

For an outlet,

Current (I) = 10 ampere

Resistance (R) = 14 ohms

Now,

Since, We know that;

The current is the ratio of the potential difference and resistance.

That is,

⇒ I = V / R

⇒ V = I R

Thus, Substitute all the values, we get;

⇒ V = I R

⇒ V = 10 x 14

⇒ V = 140 Volts

Therefore, The voltage difference for an outlet will be 140 volts.

Learn more about the multiplication visit:

https://brainly.com/question/28964278

#SPJ2

Write an algebraic expression in simplest form for the perimeter of a rectangle with side lengths (-3x + 1) and(2x - 5). Remember Perimeter = the sum of all sides. Rectangle has four sides.
Please I really need help

Answers

Answer:

Perimeter of a rectangle = 2W + 2L (where W is the width and L is the length)

Given:

width = (-3x + 1)length = (2x - 5)

⇒ perimeter = 2(-3x + 1) + 2(2x - 5)

                     = -6x + 2 + 4x - 10

                     = -2x - 8

Where is the blue dot on the number line?

Answers

Answer:

-2.1

Step-by-step explanation:

its a 0.1 step.

hope you understand

Please answer the one you would like. I’m very bad at math :(

Answers

Answer:

The answer for question one is 162 cm

Solve for x. Leave your answer in simplest radical form

Answers

Answer:

sqrt213

Step-by-step explanation:

Attached photo might help you out

Answer:

x = √213

Step-by-step explanation:

Step 1 : Solve for hypotenuse in the right triangle.

h² = 7² + 10²h² = 149

Step 2 : Solve for x.

x² = h² + 8²x² = 149 + 64x² = 213x = √213

The measures of the angles of triangle PQR can be represented in terms of x
The measure of angle P is (2x)
The measure of angle Q is
(x+17)
The measure of angle R is (x-21)
Create an equation that can be used to find the measure of each angle.

Answers

Answer:2x+(x+17)+(x-21)=180

Step-by-step explanation:

Angles in a triangle add to 180 degrees.

The equation that can be used to find the measure of each angle is 2x + x + 17 + x - 21 = 180

How to create an equation to determine the angles?

The given parameters are:

P = 2x

Q = x + 17

R = x - 21

The sum of angles in a triangle is 180.

So, we have:

P + Q + R = 180

Substitute known values

2x + x + 17 + x - 21 = 180

Hence, the equation that can be used to find the measure of each angle is 2x + x + 17 + x - 21 = 180

Read more about triangles at:

https://brainly.com/question/2217700

#SPJ2

A bird flies up and then down again, approximately following the
parabola y = -0.5x^2 + 15x. y measures height in feet.
Approximately what is the highest height that the bird flew to?

Answers

Answer:

112.5 ft

Step-by-step explanation:

The maximum is achieved at vertex of parabola.

The x- coordinate of the vertex is determined by x = - b/(2a).

x = - 15/(-0.5*2) = 15

The maximum height is the corresponding y- coordinate

y = - 0.5(15²) + 15(15) = 112.5 ft

Find vertex

x coordinate

-b/2a-15/-115

Y coordinate (Max height)

y=-0.5(15)²+15(15)y=-0.5(225)+225y=112.5ft

bro i need help with this 8th grade math work

Answers

Answer:

look it up

Step-by-step explanation:

The solution of system of equations is (3.5, 3.5).

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

1) 1/2 (12x+8) -1/3 (24)=1/4 (16x+40)

6x+4-8=4x+10

6x-4=4x+10

6x-4x=10+4

2x=14

x=7

Therefore, the value of x is 7.

3) y=3x-7 -------(i) and -y=x-7 -------(ii)

Substitute equation (i) in equation (ii), we get

-(3x-7)=x-7

-3x+7=x-7

x+3x=7+7

4x=14

x=14/4

x=3.5

Substitute x=3.5 in equation (i), we get

y=3×3.5-7

y=10.5-7

y=3.5

So, the solution is (3.5, 3.5)

4) Production of chairs from Anthony

(2, 10) and (5, 25)

Here, m=(25-10)/(5-2)

= 15/3

= 5

Substitute m=5 and (x, y)=(2, 10) in y=mx+c, we get

10=5(2)+c

c=0

Substitute m=5 and c=0 in y=mx+c, we get y=5x

Production of chairs from Billy

(1, 2) and (4, 8)

Here, m=(8-2)/(4-1)

= 6/3

= 2

Substitute m=2 and (x, y)=(1, 2) in y=mx+c, we get

2=2(1)+c

c=0

Substitute m=2 and c=0 in y=mx+c, we get y=2x

When y=18

Production of chairs from Billy 18=5x

x=3.6

When y=18

Production of chairs from Anthony

18=2x

x=9

Therefore, the solution of system of equations is (3.5, 3.5).

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ7

Of the last 20 trains to arrive at Wildgrove Station, 12 were on time. Considering this data, how many of the next 5 trains would you expect to be on time?

Answers

Answer:

Late because 12 were on time so 5 would be late

Find the area of a regular decagon (10 sides) with perimeter 100 units. Show all work

Answers

Answer:

What's the complex name

Pd(co2) (me3p)2

please help me I need help please​

Answers

Answer:

p = 4

Step-by-step explanation:

Given equation:

[tex]x^2+(p-3)y^2-4x+6y-16=0[/tex]

Standard equation of a circle:

[tex](x-a)^2+(y-b)^2=r^2[/tex]

(where [tex](a,b)[/tex] is the centre of the circle, and [tex]r[/tex] is the radius)

If you expand this equation, you will see that the coefficient of [tex]y^2[/tex] is always one.

Therefore, [tex]p-3=1[/tex]

[tex]\implies p=1+3=4[/tex]

Additional information

To rewrite the given equation in the standard form:

[tex]\implies x^2+y^2-4x+6y-16=0[/tex]

[tex]\implies x^2-4x+y^2+6y=16[/tex]

[tex]\implies (x-2)^2-4+(y+3)^2-9=16[/tex]

[tex]\implies (x-2)^2+(y+3)^2=16+4+9[/tex]

[tex]\implies (x-2)^2+(y+3)^2=29[/tex]

So this is a circle with centre (2, -3) and radius √29

What does 48906478×78955680 equal to

Answers

Answer:

3861444226895040

Step-by-step explanation:

You do not want to know.

2x² + 3x - 1 =0 by make quadratic equation​

Answers

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

1/2

What is the value of x in the right triangle below? Show your work and round your answer to the nearest hundredth. ​

Answers

The length of the hypothenuse or the value of x is equal to 19.53

This is a right angle triangle and since we have a missing side, we should list our data first and find an option to solve this.

Data;

hypothenuse = xadjacent = 11.2opposite = 16Pythagoras's Theorem

To solve this problem, we have to use Pythagoras's theorem which is used to find the missing side in a right angle triangle if we have at least two sides.

The formula for this is

x^2 = y^2 + z^2

Let's substitute the values and solve for the missing side.

[tex]x^2 = 16^2 + 11.2^2 \\x^2 = 256 + 125.44\\x^2 = 381.44\\x = \sqrt{381.44} \\x = 19.53[/tex]

The length of the hypothenuse or the value of x is equal to 19.53.

Learn more Pythagoras theorem here;

https://brainly.com/question/3317136

HELPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

Set 1: 6

Set 2: 4.5

Step-by-step explanation:

To find the mean you would add them all up and divide by the total number of points, found by counting the x's. You have one 4; three 5's, two 6's, three 7's, and one 8. You would then add this up. This adds up to 60, and there are 10 points. The mean for set one is 6.

Repeat this process for set b. For this one you would get 4.5

A game at the fair involves ping-pong balls numbered 1 to 18. you can win a prize if you correctly choose the 5 numbers that are randomly drawn. what are your chances of winning?

Answers

Answer:

5/18

Step-by-step explanation:

Here,

total numbering balls n(S) = 18

total number of winning balls n(B) = 5

Therefore,

Probability or winning chances P(B)=

n(B)/n(S)

= 5/18

Someone help me please

Answers

A is the correct answer darling

Simplify the radical expression-



I’ll give Brainliest to the first person

Answers

Answer:

2ײY²¹ is the Answer

Thank you:)


What is the area of a sector of a circle with a radius of 8 inches and formed by a central angle that measures 80 degrees?

Answers

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =80 \end{cases}\implies \begin{array}{llll} A=\cfrac{(80)\pi (8)^2}{360}\implies A=\cfrac{128\pi }{9} \\\\\\ A\approx 44.68~in^2 \end{array}[/tex]

The population of a town is expected to grow by 6% each year.

In 2017 the population was 27,000.

What will the be population in 2018?

Answers

Answer:

28620

Step-by-step explanation:

→ Find the multiplier

( 100 + 6 ) ÷ 100 = 1.06

→ Multiply by the original amount

27000 × 1.06 = 28620

The Answer Is :28620

Felix buys five vests for $22 each, three pairs of shoes for $50 each, and six hats for $17 each.

What is the mean amount that he spent?

$34.62

$32.81

$25.86

$22

Answers

Its 25.86

Because if you times 22 by five, it will be 110 & 50 times it by 3 will be 150 & 17 times it by 6 will be 102
So 110+150+102=162
& he bought 14 things in total
So 162 divided by 14 is 25.86

The 400-meter race times recorded in the boys track meet was normally distributed with a standard deviation of 3 seconds If David finished the race in 51.2 seconds with a -score of -2.6 , what was the mean time ?

Answers

Answer:

7AM was 8PM for a few days but 3the 3only 3and 3and 3and 3was is a little too much to me because I am not a fan of the cold and cold 4th

What is the value of the following expression?
23 + 5 • (10 - 9) - 12

Answers

Answer:

16

Step-by-step explanation:

Use the method of PEMDAS (Parenthesis, Exponent, multiplication, division, addition and then subtraction.)

When using this order you would do 10-9 first

23 + 5 * (10-9) - 12

23+ 5 * 1 - 12

then 5 times 1

23 + 5 * 1 - 12

23 + 5 - 12

then 23 + 5 and subract 12 from the solution

23 + 5 - 12

28 - 12 =

16

Other Questions
You are pushing a 30 crate along a rough surface by applying a horizontal force. The coefficients of frictions between the surface and the crate are 0.3 and 0.6. Sketch the situation and create a Free Body diagram from it, then Calculate:a. The normal force on the crate by the floor.b. The force required to get the crate to move.c. Determine the kinetic friction force that the floor applies on the object.d. Determine the acceleration of the crate. in what part of south africa was voting not restricted by race in the 19th century What happens when a mixture is separated A) A substance is lostB) A new substance is formedC) The substances stay the sameD) The mass of the substances change can viruses save lives Select the correct answer.A paper cup in the shape of a cone is used to get water from a water cooler. It has a height of 3 inches and a diameter of 22 inchesWhat is the lateral surface area of the paper cup to the nearest square Inch?OA 15 square InchesOB.19 square Inches.14 square InchesOD. 18 square Inches Find the interest on a loan with Principal =$1000, Rate = 6%, Time = 2 years Solve 5(x 4) = 2(x + 5) for x.Question 9 options:x = 5x = 10x = 10x = 5 Roberta, a customer service manager, tracks monthly complaints and has been trying over the past six months to reduce complaints to less than 1 percent through additional training for her staff. She is engaged in Your aunt sells magazine subscriptions by telephone. If each call she makes takes about 1/16 of an hour, how many calls can she make in 1/8 hours? Dark matter article summary How many children did individuals l-1 and l-2 have. What is the value of the expressionbelow?8 - 3116A. -40-B. -4C.2D.20 Can someone solve this so that i can confirm that Im doing it right? show how to use the unit circle to find tan60 Pythagorean Theorem (Rounding)Find the length of the third side. If necessary, round to the nearest tenth. SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER AND POINTS!!!! IMAGE DOWN BELOW!! Which number is rational?Ov2MO 10O 16 Overgrazing of grasslands can lead to reduced range quality. Two of the major effects of overgrazing are:. The play about Tony and Maria is an example of a tragedy.TrueFalse How was industrialization similiar in the United States and japan In order to figure out the distance, what do I do?