the length or a rectangle is 11 centimeters less than 4 times it width its area is 20 square centimeters find the dimension of the rectangle use formula aera = length*width the width is cm

Answers

Answer 1
Width = W
Length = 4W-11

Area = L*W = W(4W-11)

4W2 - 11W = 20
4W2 - 11W - 20 = 0

We can attempt to factor this by grouping:
Multiply the coefficient of the squared term .. 4 ..
by the constant -20... 4(-20) = -80
We need to see if there are factors of -80 that add to
the coefficient of the middle W term... -11.
The factors of -80 that add to -11 are 5(-16)

Replace -11W with -16W + 5W in our equation

4W2 - 16W + 5W - 20 = 0
4W(W-4) + 5(W-4) = 20
(4W+5)(W-4) = 0

Either 4W + 5 = 0 or W-4 = 0
4W = -5 W = 4
W = -4/5

Since the width cannot be a negative number
Our width is 4cm

The length is given by L = 4W-11
= 4(4)-11
= 16-11
= 5cm

Related Questions

Simplify the expression. 7(6x – 4) + 1 1. Distribute the 7 through the parentheses. 2. Combine like terms.

Answers

Answer:

42x+−17

Step-by-step explanation:

(7)(6x)+(7)(−4)+11

42x+ −28 + 11

(42x)+(−28+11)

42x+−17

Prove that two triangles on the same base and between the same parallels are equal
in area.​

Answers

follow me please .........

Answer:

............................

Step-by-step explanation:

.,.,.,.,.,.,.,.,.,,,,,.,.,.،.،.،.،.،.

Help please I’ll give brainlist

Answers

Answer:

easy

Step-by-step explanation:

the 1stone goes on the 1st one

the 4th ( on the side) one is for the 2nd one

the 5th one (on the side) is for the thrid one

and that goes for

change

Answer:

The hat is

Change: $5 increase

Proportion: 5/20= x/100

The shirt is

Change: $5 decrease

Proportion: 5/35= x/100

The shoe is:

Change: $10 increase

Proportion: 10/25= x/100

Step-by-step explanation:

Do you guys know this?

Answers

Answer:

Here it is

Step-by-step explanation:

If you have any questions feel free to ask :)

PLEASE HELP ME I NEED THIS DONE SOON AND I DKNT UNDERSTAND IT

Answers

Answer:

Step-by-step explanation:

1/2 + b + h

Okay so we know that b is 6 and that h is 10 so we can change the question to this : 1/2 + 6 + 10. We know that 1/2 is also writen as 0.5 , now all you need to do is 0.5 + 6 + 10 = 16.5 . The question asks to round to the nearest 10th so you need to add a 0 after the 5 so you can round up or down.

16.50

Now you need to look at the 10th number which is 5 and to round it up you need to look at the number after that which would be 0, we know that anything that is 4 or below gets rounded down so your answer for this question is simply 16.5.

I hope that helped you and good luck!

-3x + 10y = 11
-8x + 2y = -20

Answers

Answer:

(3, 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

-3x + 10y = 11

-8x + 2y = -20

Step 2: Rewrite systems

-8x + 2y = -20

Add 8x to both sides:                    2y = 8x - 20Divide 2 on both sides:                 y = 4x - 10

Step 3: Redefine systems

-3x + 10y = 11

y = 4x - 10

Step 4: Solve for x

Substitution

Substitute in y:                         -3x + 10(4x - 10) = 11Distribute 10:                            -3x + 40x - 100 = 11Combine like terms:                37x - 100 = 11Add 100 to both sides:            37x = 111Divide 37 on both sides:         x = 3

Step 5: Solve for y

Define original equation:                    -3x + 10y = 11Substitute in x:                                     -3(3) + 10y = 11Multiply:                                                -9 + 10y = 11Add 9 to both sides:                             10y = 20Divide 10 on both sides:                       y = 2

Step 6: Graph system

Check the system.

Dilate a square with vertices (0,0). (0,4). (4,4), and (4,0) using the scale factor k=0.5. What is the value of the ratio (new to original) of the
perimeters? the areas?
The ratio of the perimeters is
The ratio of the areas is

Answers

Perimeter: 1\2

Area: 1\4

The length of each side of a square was increased by 6 inches, so the perimeter is now 52inches. What was the original length of each Side if the square?

Answers

Answer:

7

Step-by-step explanation:

6×4=24

52-24=28

28÷4=7

PLEASE HELP ME!!!!!!!!!!!!!!!!!A class room took a survey and asked how many students like spicy food, Below is their ratio of boys to girls that like spicy food.
Plot the points based on the ratio table below
Boys Girls
3. 2.
6. 4.
12. 8.
15. x

Answers

Answer: x = 16

Step-by-step explanation: The y values keep going up by multiplying 2. 2x2=4, 4x2=8, so 8x2=16.

To plot the points just put the point coordinated with the x values and y values.

Mia has 12 boxes of cookies. Each box contains 36 cookies. she has another 258 cookies in the pantry. How many cookies does she have in all?

Answers

690

12×36 + 258 = 690 For extending to 20 characters

What are the coordinates of point P? (I will give brainliest) Edge 2020

Answers

Answer:

P = ( -2, -4.5 )

Step-by-step explanation:

-2 on the x axis;

-4.5 on the y-axis.

2.

The change, in yards, in a football team's position on the field for each of their last four plays is

shown below.

-4, 7, -7,0

Which list correctly compares the changes, in yards, in the football team's position on the field?

A. -7<-4< 0 < 7

B. -4 <-7 <0 <7

C. 0<-7<-4 <7

D. 0<-4 <-7<7

Answers

Answer:

[tex]-7 < -4 < 0 < 7[/tex]

Step-by-step explanation:

Given

Change: -4, 7, -7 and 0

Required

Compare them

From the list of given options, we can observe that the inequality < is used in all options.

This implies that we arrange from least to highest

The least is -7

Then, -4

Then 0

And lastly, 7

So, we have:

[tex]-7 < -4 < 0 < 7[/tex]

Answer: is it –7<–4<0<7

Answer needs to be in rational for, do not use mixed numbers.[tex]\frac{1}{2} \sqrt{98}-6\sqrt{72}[/tex]

Answers

Answer:

[tex] \frac{1}{2} \times 7 \sqrt{2} - 36 \sqrt{2} \\ \frac{7 \sqrt{2} }{2} - 36 \sqrt{2} \\ \frac{65 \sqrt{2} }{2} \\ - 45.96[/tex]

Answer:

Step-by-step explanation:

You can't get a rational result. √2 does not go away.

√98  = √(49 * 2) = √7 * 7 * 2 = 7√2

6*√72 = 6 * √(2 * 2 * 2 * 3*3) = 6 * 2 * 3 √2 = 36√2

1/2 * 7√2 - 6*6*√2

√2 (3.5 - 36)

√2 * (-32.5) or

-32.5 * √2

EDG. The universal set in this diagram is the set of integers from 1 to 15. Place the integers in the correct place in the Venn diagram.v (Not a question just an answer lol ;) )

Answers

Answer:

A=1,3,5,15

B=1,3,5,7,9,11,13,15

C=3,6,9,12,15

U=1,2,3,4,5,6,7,8,9,10,11,12,13,14,15

Solve the inequality 19

Answers

Answer:

nsnsuieieiwiwiweuejjeejeje

To estimate μ, the mean salary of full professors at American colleges and universities, you obtain the salaries of a random sample of 400 full professors. The sample mean is ¯x = $73,220 and the sample standard deviation is s = $4400. A 99% confidence interval for μ is:A.) 73220 ± 11440B.) 73220 ± 577C.) 73220 ± 431D.) 73220 ± 28.6

Answers

Answer:

73220±566.72

Step-by-step explanation:

The formula for calculating the confidence interval is expressed as;

CI = xbar ± z*s/√n

xbar is the sample mean =  $73,220

z is the z score at 99% CI = 2.576

s is the standard deviation = $4400

n is the sample size = 400

Substitute the given values into the formula;

CI = 73,220 ± 2.576*4400/√400

CI = 73,220 ± 2.576*4400/20

CI = 73,220± (2.576*220)

CI = 73220±566.72

Hence a 99% confidence interval for μ is 73220±566.72

25 yd
22 yd
The height is approximately
yards. (Round to the nearest tenth.)

Answers

Answer:

30 and 20

Step-by-step explanation:

A ping pong ball has a diameter of 4cm. How many ping pong balls will fit in a room that is 9.5 meters long, 7.5 meters wide, and 3 meters high?(Hint: 1 meter = 100 centimeters)

Answers

Answer:

6042915 balls.

Step-by-step explanation:

Volume of a ping pong ball is;

V = (4/3)πr³

diameter of ping pong ball is given 4cm = 0.04 m

Radius; r = 0.04/2 = 0.02 m

V = (4/3)π(0.02³)

V = 0.00003351032 m³

Room is 9.5 meters long, 7.5 meters wide, and 3 meters high.

Volume; V = 9 × 7.5 × 3 = 202.5 m³

Number of ping pong balls that will fit into the room = volume of room/volume of ping pong balls = 202.5/0.00003351032 = 6042914.540956151

Approximately 6042915 balls.

Bernard and Alex get 15% commission on everything they sell. Last month Bernard trained Alex who is new, so Bernard will also receive half of all Alex's commissions. If Bernard's sales were $35,750 and Alex's sales were $21,300 last month, how much will Bernard make in commissions?

Answers

Answer:

6960

Step-by-step explanation:

Write a equation
3. slope = 5, goes through the point (2,7)

Answers

Answer:

y=5x-3

Step-by-step explanation:

Slope intercept form is y=mx+b and you know the slope so you can get y=5x+b

Then you are given a point, (2, 7), so you can plug that into the equation to find the y-intercept

7=5(2)+b

Then you just solve for b

7=10+b

-10

-3=b

So the final equation is y=5x-3

The required equation of the line passing through the point (2, 7) and having a slope of 5 is y - 5x = -3

The standard equation of the line using the point-slope form is expressed as:

y-y0 = m(x-x0)

m is the slope of the line

(x0, y0) is the point on the line

Given the following parameters

m =  5

(x0, y0) = (2, 7)

Substitute the given expressions into the formula as shown:

y - 7 = 5(x-2)

y - 7 = 5x - 10

y - 5x = -10 + 7

y - 5x = -3

Hence the required equation of the line passing through the point (2, 7) and having a slope of 5 is y - 5x = -3

Learn more here: https://brainly.com/question/17003809

Eddie is reading a novel for English class. He has read 168 out of 480 pages. What percent of the book has he read?

Answers

Answer:

0.35%

Step-by-step explanation:

Cara's new car holds 13.5 gallons of gas. If gas costs $2.98 per gallon, how much would it
cost her to fill the gas tank from empty?
Submit
O
Lenovo

Answers

Answer:

$40.23

Step-by-step explanation:

Answer:

40.23

Step-by-step explanation:

easy just do 13.5*2.98

A pediatrician prescribes an infant patient 2.5 mL of Vistaril bid for 10 days. The label

on the medication indicates that the bottle contains 25mg/5mL of the oral suspension.

How many teaspoons full should the infant receive daily?

Answers

Answer: 1 teaspoon

Step-by-step explanation:

The calculation on the number of teaspoons full that the infant should receive daily should be:

Ordered dose = 2.5 ml bid and this should be given twice a day.

Since it's take twice, the total dose for the day will be:

= 2.5 × 2

= 5.0ml

Since 1 teaspoon is equal to 5ml, it means that the teaspoon that the infant should receive daily is 1 teaspoon.

HELP PLEASE I ONLY HAVE A FEW MINS

Answers

Answer:option D for the first one

Step-by-step explanation:

It adds up to what they bought

Which system of equations can be used to find the roots of the equation 4 x Superscript 5 Baseline minus 12 x Superscript 4 Baseline + 6 x = 5 x cubed minus 2 x?
StartLayout Enlarged left-brace 1st Row y = negative 4 x Superscript 5 Baseline + 12 x Superscript 4 Baseline minus 6 x 2nd row y = 5 x cubed minus 2 x EndLayout
StartLayout Enlarged left-brace 1st Row y = 4 x Superscript 5 Baseline minus 12 x Superscript 4 Baseline + 5 x cubed + 4 x 2nd row y = 0 EndLayout
StartLayout Enlarged left-brace 1st row y = 4 x Superscript 5 Baseline minus 12 x Superscript 4 Baseline + 6x 2nd row y = negative 5 x cubed + 2 x EndLayout
StartLayout Enlarged left-brace 1st row y = 4 x Superscript 5 Baseline minus 12 x Superscript 4 Baseline + 6x 2nd row y = 5 x cubed minus 2 x EndLayout

Answers

Answer:

D. on Edg 2020

Step-by-step explanation:

You are welcome, I helped better than that other guy!!!

Answer:

D. [tex]\left \{ {{y=4x^{2} } \atop {y=x^{3}+2x }} \right.[/tex]

2. 18x – 3y =21
y=6x - 7

Answers

Answer:

x,y=(0,-7)

Step-by-step explanation:

Multiply eq2 by 3:

[tex]18x-3y=21\\18x+3y=-21[/tex]

Subtract:

[tex]-6y=42\\y=-7[/tex]

Substitute:

[tex]x=0[/tex]

Hope this helps :D

12k-15=35+2k

answer pleasseeeeeeeee thank youu!!

Answers

Answer:

K=5

Step-by-step explanation:

12k-15=35+2k

12k=50+2k

10k=50

k=5

Answer:

[tex]k = 5[/tex]

Step-by-step explanation:

[tex]12k - 15 = 35 + 2k[/tex]

Our goal is to isolate k

[tex]12k - 15 = 35 + 2k\\\;\;\;\;+15 \;\;\;\;\;\;\; +15[/tex]

[tex]12k = 50 + 2k\\-2k \;\;\;\;\;\;\;\; -2k[/tex]

[tex]10k = 50[/tex]

Now we have k isolated to one side. Our final step is to have k be just k, no coefficient. We can do this by dividing each side by the coefficient.

[tex]\large\frac{10k}{10} = \frac{50}{10} \\\\10k\;\div\;10 = k\\50\;\div\;10 = 5\\[/tex]

[tex]\large\boxed {k \;=\;5}[/tex]

~[tex]InLoveWithPugs[/tex]

[tex]Moderator\\Math\ Enthusiast[/tex]

Based on △GHI below, which of the following inequalities is true?

Answers

Answer:

C. [tex] \overline{GI} < \overline{GH} < \overline{HI} [/tex]

Step-by-step explanation:

In a triangle, the longest side is opposite to the largest measure of angle. The medium side is opposite to the medium angle, while the shortest side is opposite to the smallest angle.

In ∆GHI,

✍️m<G = 95°, it is opposite to [tex] \overline{HI} [/tex]

<G is the largest angle, therefore, [tex] \overline{HI} [/tex] is the longest side.

✍️m<I = 180 - (95 + 38) = 47°.

<I is opposite to [tex] \overline{GH} [/tex]

<I is the medium angle, therefore, [tex] \overline{GH} [/tex] is the medium side.

✍️m<H = 38°, it is opposite to [tex] \overline{GI} [/tex]

<h is the smallest angle, therefore, [tex] \overline{GI} [/tex] is the shortest side.

✅This means:

[tex] \overline{GI} < \overline{GH} < \overline{HI} [/tex]

What is the value of 3 five dollar bills and 3 ten dollar bills?

Can someone help me with this please

Answers

Answer:

$45

Step-by-step explanation:

5*3=15
10*3=30
30+15=45

A bus traveled on a level road for 2 hours at an average speed 20 miles per hour faster than it traveled on a winding road. The time spent on the winding road was 4 hours. Find the average speed on level road of the entire trip was 310 miles

Answers

Answer:

The average speed on level road is 65 mph

Step-by-step explanation:

Let the speed on the winding road be x mph

So the speed on the straight road will be x +20 mph

Mathematically, distance = speed * time

Distance on level road will be;

(x + 20)2

Distance on winding road will be;

x* 4 = 4x

Thus, we have;

2(x + 20) + 4x = 310

2x + 40 + 4x = 310

6x + 40 = 310

6x = 310 - 40

6x = 270

x = 270/6

x = 45 mph

The average speed on the level road is x + 20

That will be 45 + 20 = 65 mph

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