The length of a rectangle is four times the width. The perimeter of the rectangle is 45 inches. Write a system of
equations that represents this problem. What is the area of the rectangle?

Answers

Answer 1

Answer:

81 square inches.

Step-by-step explanation:

Draw a diagram to represent what you know.

You don't know the values of the lengths so represent them algebraically.

You know the perimeter is 45 inches and that the perimeter is calculated by the sum of all of the sides of a shape.

You can rearrange to find the value of a side you've denoted as some unknown variable.

The area is given by the product of the sides. Express this algebraically and then input the value you found.

The Length Of A Rectangle Is Four Times The Width. The Perimeter Of The Rectangle Is 45 Inches. Write

Related Questions

Jake buys yards of cloth. He uses yard for a craft project. How much cloth, in yards, does Jake have left?

Answers

Answer:

i think Its 5/8

Step-by-step explanation:

this one is tricky for me at least

I doing vertical angles and I'm way too confused to even understand​

Answers

Erotically angles are opposite each other and equal the same degree.

In the image 5x and 120 are vertical angles so 5x needs to equal 120.

X = 120/5

X = 24

Answer:

X=24 degrees.

Step-by-step explanation:

120/5=24. You divide by 5, because the angles will be congruent, and the top angle is 5*_=120. And 5*24=120, so x=24

Round 199,609 to the nearest thousand.

Answers

Answer:

200,000

Step-by-step explanation:

have a good day! ;-)

Answer:

199,609,000

Step-by-step explanation:

Hope this helps!!!

Simplify the expression to a polynomial in standard form:
(
3
x
+
5
)
(
2
x
2
+
x
+
5
)
(3x+5)(2x
2
+x+5)

Answers

Answer:

9x

4

+120x

3

+550x

2

+1000x+100x2

2

+500x2+625+18x

3

x2+150x

2

x2+350×2+50x2x+60×2

2

+30x

2

x2+150×2+36x

2

x2

2

+18x

3

x2+90x

2

x2+60×2

2

+30x

2

x2+150×2

Step-by-step explanation:

(3x+5)(2x2+x+5)(3x+5)(2x2+x+5)

 

=(6×2+3x

2

+15x+10x2+5x+25)(3x+5)(2x2+x+5)=

=(3x

2

+20x+10x2+25+6×2)(3x+5)(2x2+x+5)=

=(9x

3

+15x

2

+60x

2

+100x+30×2+50x2+75x+125+6×2⋅3x+6×2⋅5)(2x2+x+5)=

=(9x

3

+15x

2

+60x

2

+100x+30×2+50x2+75x+125+18x

2

x2+6×2⋅5)(2x2+x+5)=

=(9x

3

+15x

2

+60x

2

+100x+30×2+50x2+75x+125+18x

2

x2+30×2)(2x2+x+5)=

=(9x

3

+75x

2

+175x+50x2+125+30×2+18x

2

x2+30×2)(2x2+x+5)=

=18x

3

x2+9x

4

+45x

3

+150x

2

x2+75x

3

+375x

2

+350×2+175x

2

+875x+100x2

2

+50x2x+250x2+250x2+125x+625+30×2⋅2x2+30×2x+30×2⋅5+18x

2

x2⋅2x2+18x

2

x2x+18x

2

x2⋅5+30×2⋅2x2+30×2x+30×2⋅5=

=18x

3

x2+9x

4

+45x

3

+150x

2

x2+75x

3

+375x

2

+350×2+175x

2

+875x+100x2

2

+50x2x+250x2+250x2+125x+625+60×2

2

+30×2x+30×2⋅5+18x

2

x2⋅2x2+18x

2

x2x+18x

2

x2⋅5+30×2⋅2x2+30×2x+30×2⋅5=

=18x

3

x2+9x

4

+45x

3

+150x

2

x2+75x

3

+375x

2

+350×2+175x

2

+875x+100x2

2

+50x2x+250x2+250x2+125x+625+60×2

2

+30x

2

x2+30×2⋅5+18x

2

x2⋅2x2+18x

2

x2x+18x

2

x2⋅5+30×2⋅2x2+30×2x+30×2⋅5=

=18x

3

x2+9x

4

+45x

3

+150x

2

x2+75x

3

+375x

2

+350×2+175x

2

+875x+100x2

2

+50x2x+250x2+250x2+125x+625+60×2

2

+30x

2

x2+150×2+18x

2

x2⋅2x2+18x

2

x2x+18x

2

x2⋅5+30×2⋅2x2+30×2x+30×2⋅5=

=18x

3

x2+9x

4

+45x

3

+150x

2

x2+75x

3

+375x

2

+350×2+175x

2

+875x+100x2

2

+50x2x+250x2+250x2+125x+625+60×2

2

+30x

2

x2+150×2+36x

2

x2

2

+18x

2

x2x+18x

2

x2⋅5+30×2⋅2x2+30×2x+30×2⋅5=

=18x

3

x2+9x

4

+45x

3

+150x

2

x2+75x

3

+375x

2

+350×2+175x

2

+875x+100x2

2

+50x2x+250x2+250x2+125x+625+60×2

2

+30x

2

x2+150×2+36x

2

x2

2

+18x

3

x2+18x

2

x2⋅5+30×2⋅2x2+30×2x+30×2⋅5=

=18x

3

x2+9x

4

+45x

3

+150x

2

x2+75x

3

+375x

2

+350×2+175x

2

+875x+100x2

2

+50x2x+250x2+250x2+125x+625+60×2

2

+30x

2

x2+150×2+36x

2

x2

2

+18x

3

x2+90x

2

x2+30×2⋅2x2+30×2x+30×2⋅5=

=18x

3

x2+9x

4

+45x

3

+150x

2

x2+75x

3

+375x

2

+350×2+175x

2

+875x+100x2

2

+50x2x+250x2+250x2+125x+625+60×2

2

+30x

2

x2+150×2+36x

2

x2

2

+18x

3

x2+90x

2

x2+60×2

2

+30×2x+30×2⋅5=

=18x

3

x2+9x

4

+45x

3

+150x

2

x2+75x

3

+375x

2

+350×2+175x

2

+875x+100x2

2

+50x2x+250x2+250x2+125x+625+60×2

2

+30x

2

x2+150×2+36x

2

x2

2

+18x

3

x2+90x

2

x2+60×2

2

+30x

2

x2+30×2⋅5=

=18x

3

x2+9x

4

+45x

3

+150x

2

x2+75x

3

+375x

2

+350×2+175x

2

+875x+100x2

2

+50x2x+250x2+250x2+125x+625+60×2

2

+30x

2

x2+150×2+36x

2

x2

2

+18x

3

x2+90x

2

x2+60×2

2

+30x

2

x2+150×2=

=9x

4

+120x

3

+550x

2

+1000x+100x2

2

+500x2+625+18x

3

x2+150x

2

x2+350×2+50x2x+60×2

2

+30x

2

x2+150×2+36x

2

x2

2

+18x

3

x2+90x

2

x2+60×2

2

+30x

2

x2+150×2

Round 8265 to the nearest ten?

Answers

8270



Step by step explanation:

Arturo is driving at a speed of 50 miles per hour. At 2:00 he
sees the following sign.
Applebee
11 miles
Beauville
41 miles
Caanan
62 miles
Denton
98 miles
Arturo continues at the same speed. At 2:30 how far from
Caanan will he be?
A.
12 miles
B.
16 miles
C.
25 miles
D.
26 miles
E.
37 miles

Answers

Answer:

Your answer is 37

Step-by-step explanation:

Caanan is 62 miles away and since he drives at 50 miles per hour, and if it is 2:30 then 30 minutes is half a hour, which means you divide 50 in half by 2 and get 25. After you do that then you subtract 62 and 25 to get your answer 37. Have a good day!!! :)

Find 25% of 80 kg A 40kg B 10kg C 8kg D 20kg help me plss​

Answers

Answer:

25% of 80 is D. 20kg

Step-by-step explanation:

50% of 80 is 40 and we know that 25% is half of 50%, so half of 40 would be 20.

So, the answer is D. 20kg

Hope this helps! :)

On a circle graph, a section that represents 80% of the graph has a central angle measure of 288º.
True
False

Answers

Answer: true

Hope this helps (:

Write these numbers in order, starting with the smallest.
0.78
0.607
5.6
0.098
4.003

Answers

Answer:

0.098-0.607-0.78-4.003-5.6

Step-by-step explanation:

The numbers in orders that starting with the smallest should be considered as the 0.098-0.607-0.78-4.003-5.6.

Calculation of the listing numbers:

Since the list of the number should be like

0.78

0.607

5.6

0.098

4.003

So here we sequence the numbers from the smallest to the largest

So it should be like 0.098-0.607-0.78-4.003-5.6.

Hence, The numbers in orders that starting with the smallest should be considered as the 0.098-0.607-0.78-4.003-5.6.

Learn more about numbers here: https://brainly.com/question/24571514

2x+6y=21 and -2x+3y=24 using the elimination method and write as an ordered pair

Answers

Answer:

(-0.5,7.66)

Step-by-step explanation:

2x+6y=21

-2x+3y=24

so 3y=24+2x

reduce

y=(24+2x)/3

substitute for y

2x+6(24+2x/3)=21

2x+(72+12x)/3=21

2x+24+4x=21

6x=-3

x=-0.5

y=(24+-1)/3=7.66

margo has sandwich cut into 1/3 pieces . if she needs to serve 11 people how many whole sandwiches will she need?

Answers

Answer:

she needs 4 and will have 1/3 of a sandwich left

Step-by-step explanation:

Answer:

12 pices remainder 1

Step-by-step explanation:

Because if u split a sandwich in 12 pices u get 1 extra sandwich left over and 12 is good enough for 11 ppl hope I helped

Brianna had a garden Box that is 8' by 12' this summer she decided that it is too big and wants to reduce it by a scale factor of 1/2 find the area of her new garden​

Answers

Given:

Brianna had a garden Box that is 8' by 12'.

She decided to reduce it by a scale factor of [tex]\dfrac{1}{2}[/tex].

To find:

The area of her new garden.

Solution:

Let the length and width  of the original garden are 8 ft by 12 ft respectively.

Reduce the dimensions by a scale factor of [tex]\dfrac{1}{2}[/tex].

Length of the new garden is

[tex]\dfrac{8\ ft}{2}=4\ ft[/tex]

Width of the new garden is

[tex]\dfrac{12\ ft}{2}=6\ ft[/tex]

Now, the area of the new garden is

[tex]Area=Length\times Width[/tex]

[tex]Area=(4)\times (6)[/tex]

[tex]Area=24[/tex]

Therefore, the area of the new garden is 24 sq. ft.

I need help *********

Answers

Answer:

a

Step-by-step explanation:

bc x 2 is 10× 10

so x is 10

I hope this helped

x=10

Take the root of both sides and slove




















each side on a sticky note measures 9 centimeters. what is the srea of the sticky note?

Answers

Answer:

Step-by-step explanation:

All sides are equal. So sticky note is in the shape of square.

Area = side * side  = 9 * 9 = 81 sq.cm

10. Write a polynomial in factored form with a single root at 0 and a double


root at 3 that decreases as x approaches infinity.

Answers

Answer:

One possible polynomial is given by: [tex]f(x) = -x(x-3)^2[/tex]

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.

Single root at 0, double root at 3:

This means that:

[tex]f(x) = a(x - 0)(x - 3)(x - 3) = ax(x-3)^2[/tex]

Decreases as x approaches infinity.

This means that the leading coefficient should be negative. I am going to use -1. So

[tex]f(x) = -x(x-3)^2[/tex]

Marco has a bag of red, blue, and green tiles. Which set of events would be considered independent?

A) A tile is drawn and replaced, and then a second tile is drawn.
B) A tile is drawn and removed, and then a second tile is drawn.
C) A red or blue or green tile is drawn.
D) Two tiles are drawn at the same time.

Answers

Answer:

45

Step-by-step explanation:

Hi can someone explain to me this question or help thank you

Answers

Answer:

1. 5x = 10

5x-1 = 9

2. 5x = 50

5x-1 = 49

3. 5x = 60

5x-1 = 59

4. x = 5

5x-1 = 24

5. x = 7

5x = 35

6. x = 20

5x = 100

Step-by-step explanation:

substitution x in each one

for example

x = 2

5x = 5×2 (×2 because x = 2)

so, 5x = 10

about question number 4

5x=25

x = 25÷5 (change side change mark)

x = 5

questions that I don't show you how to think

let's get it by yourself

change side change mark. it's mean

if in equation is plus change to minus

if in equation is minus change to plus

if in equation is divided by change to multiply

if in equation is multiply change to divide by

hope it helps you ☺️

Answer:

You need to look at the value of x which is already given and insert it into the other values

Step-by-step explanation:

fore example

                                        if x=2                  

then        5x                                       5x-1

              5(2)                                     5(2)-1

            = 10                                       10-1

                                                          =9                                                          

(you put the value of x where x is supposed to be, since x was 2 I replace it with 2 and got the answer).

where we have value of 5x which is 25 we will substitute to get value of x.

5x= 25

x= 25/5

x= 5

Now we have the value of x

Where we have the last value we will substitute it like

5x-1= 34

5x= 34+1

5x= 35

x= 35/5

x= 7

Now we have value of x

The radius of a circle is 10 feet. What is the area of a sector bounded by a 45° arc?

Answers

45°
r=10 m







Hope that helps

Answer:

39.25 square ft

Step-by-step explanation:

[tex]Area \: of \: sector = \frac{45 \degree}{360 \degree} \times \pi {r}^{2} \\ \\ = \frac{1}{8} \times 3.14 \times {10}^{2} \\ \\ = \frac{3.14 \times 100}{8} \\ \\ = \frac{314}{8} \\ \\ = 39.25 \: {ft}^{2} [/tex]

The cost of five books is $36.25. What is the unit price?​

Answers

Step-by-step explanation:

Cost of 5 books = $ 36.25

Cost of 1 book = $36.25 / 5 = $ 7.25

The unit price is $ 7.25

Hope it will help :)

PLEASE HELP ME match the equations at the bottom of the screen to the graph.TYSM

Answers

Answer: It's given in the equations.

Step-by-step explanation:

First One

f(x) = -2^x

Second

f(x) = -4(2)^x

Third

f(x) = 4(2)^x

Fourth

f(x) = 2^x

What is the value of x in the equation -2/9x2/5 ?

A. -1 4/5

B. -5/9

C. 5/9

D. 1 4/5

Answers

Answer:

-1 4/5

Step-by-step explanation:

-2/9x = 2/5

(multiply both equations by 9 and 5)

So

-10x = 18

(divide both equations by -10)

x = - 18/10

Simplify:

x= - 9/5

= - 1 4/5

C
Explanation because i think it’s right

please help!!! Ill give brainliest

Answers

Answer:

the answer is C

you will calculate the area of the wall and also the window. Then you subtract the area of the window from the wall. the answer is 152 ft square

REAL LIFE A cylindrical hazardous waste container has a diameter of 1.5 feet and a height of 1.6 feet. Abo
azardous waste can the container hold? Round your answer to the nearest whole number. (1 ft 7.5 gal)

Answers

Answer:

It can hold up to [tex]1.256ft^3[/tex] of waste

Step-by-step explanation:

Given

[tex]D = 1.5ft[/tex] -- Diameter

[tex]h = 1.6ft[/tex] -- height

Required

Determine the amount of waste it can hold

This simply means that we calculate the volume of the cylindrical container.

And this is calculated using:

[tex]Volume = \pi r^2h[/tex]

Where

[tex]\pi = 3.14[/tex]

and

[tex]r = \frac{D}{2}[/tex]

[tex]r = \frac{1.5}{2}[/tex]

[tex]r = 0.75[/tex]

So, we have:

[tex]Volume = 3.14 * 0.5^2 * 1.6[/tex]

[tex]Volume = 1.256ft^3[/tex]

Hence, it can hold up to [tex]1.256ft^3[/tex] of waste

The amount of waste a cylinder can hold nearest to the whole number is 3 cubic feet.

What is a cylinder?

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

A cylindrical hazardous waste container has a diameter of 1.5 feet and a height of 1.6 feet.

The amount of waste a cylinder can hold will be given by the volume of the cylinder.

The volume of the cylinder will be

[tex]\rm Volume = \dfrac{\pi}{4} d^2 h[/tex]

We have

d = 1.5 ft

h = 1.6 ft

Then

[tex]\rm Volume = \dfrac{\pi}{4} * 1.5^2 * 1.6\\\\\rm Volume = \dfrac{\pi}{4} *2.25 * 1.6\\\\\rm Volume = 2.82 \approx 3 \ ft^3[/tex]

More about the cylinder link is given below.

https://brainly.com/question/3692256

15 points and brainliest! Solve for x. 7x + 3 = 17

A: x= 2

B: x=7

C: x=20

D: x=27

Answers

Answer:

Its A

Step-by-step explanation:

7x + 3 =17

            -3  ( 17 -3 = 14)

7x =  14.  (14 divided by 7)

u get x=2

How did Washington DC become the capital of USA?​

Answers

Answer:

The Residence Act of July 16, 1790, put the nation's capital in current-day Washington as part of a plan to appease pro-slavery states who feared a northern capital as being too sympathetic to abolitionists

Step-by-step explanation:

Answer:

Because of its central location

Step-by-step explanation:

What is the y-intercept of the following equation? y=2x+5

Answers

5 because y=mx+c or y=mx+b if your american the c is the y intercept

Slove the following:​

Answers

Answer:

let required no be x

[tex] \frac{1}{7} = \frac{x}{42} [/tex]

by doing crisscrossed multiplication

[tex]42 \times 1 = 7 \times x[/tex]

42=7x

dividing both side by 7

[tex] \frac{42}{7} = 7x \div 7[/tex]

6=x

therefore x=6

therefore value of remaining no.is 6

Step-by-step explanation:

solution

here,

let, the required number be x

1/7=x/42

or, 42= 7x

or, x= 42/ 7

therefore, x= 6

hope this helps u...

Give the result of 3(x-2).

Answers

Answer:

3x-6

Step-by-step explanation:

3(x-2)

3 multiply both x and -2

3x-6

hope it's helpful ❤❤❤❤

THANK YOU.

a dog walks 696 steps in 12 minutes. how many steps in 12 minutes

Answers

Answer:

696 steps

Step-by-step explanation:

PLEASE HELP PLEASEEE THANKS!!

Answers

its A. hipe this helps
It’s B! Look up online graphing calculator and type in the equation and it will graph it for you and give you a table (:
Other Questions
help I need help ASAP 3rd grade math PLEASE HELP!!!What areas were part of the empire rules by the Austrian Habsburgs during 1500-1750? I will mark brainliest!!!MilanSwitzerlandHanoverHungarySerbia Although the Spanish were the first Europeans to explore present-day South Carolina, the earliest settlements herewere built by the____A)Dutch and FrenchB)Dutch and EnglishC)French and EnglishD)Portuguese and French. Indicate the substance that is NOT an element.A)ironB)oxygenC)waterD)carbonE)hydrogen What is the area?? Plz I need help and there are still 18 questions left The dates shown in the diagram above refer to ages of ______ what are the policies and programmes of health sectorHAPPY TEDDY DAY Identify the most abundant cell type making up the epidermis and provide evidence to support your claim Escriba los tipos de textos con los que se a trabajado a lo largo del segundo quimestre y ponga un ejemplo de cada uno. A aguien que le ayan enviado la misma tarea que me ayude, no entiendo de que ejemplos habla. Ed buys a box of eggs costing 2.80, two packs of bacon for 2.40 each and two tins of baked beans. He pays with a 10 note and gets 80p change. How much does a tin of beans cost in pounds, ? Help asap please!! I will mark you as brainliest :) Paragraph 1: Introduction - Write 5 sentences about how knowing our rights helps usin our daily lives. (hint: who, what, when, where, why, and how)bill of rights plzzzz helppp I need answer Determine the number of decimals places in each decimal1. 0.3782. 8.18673. 9419.44. 77.645. 9.05072 question in picture thanks The first American colony to legally recognize slavery wasMassachusetts. Pennsylvania.O Virginia. Georgia. Answer:Massachusetts I take the test ;) HELP QUICK! The last one is Jane Austen wrote about womens role in society but it got cut out At a restaurant, you and your threefriends received a bill for $57.70a. What is the total bill if you want toinclude a 20% tip? Choose the graph of the solution to this inequality. c 12 16 A number line with a closed dot at negative 4 shaded to the right. A number line with a closed dot at 4 shaded to the left. A number line with a closed dot at 4 shaded to the right. A number line with a closed dot at negative 2 shaded to the right. Please help I will put Brainliest!!!!