The width of a rectangle, in centimeters, is 17 less than 4 times its length, in centimeters. The area
of the rectangle is 15 square centimeters. What is the width, in centimeters, of the rectangle?

Answers

Answer 1

Answer:

Step-by-step explanation:

W = 4L-17

LW = 15

L(4L-17) = 15

4L^2-17L-15= 0

L = [17 ±√(17^2-4(4)(-15))]/[2(4)] = 5,-3/4

-3/4 is an extraneous solution

L = 5 cm

W = 4L-17 = 3 cm


Related Questions

Jack Lawler, a financial analyst, wants to prepare an article on the Shadow Stock portfolio developed by the American Association of Individual Investors (AAII). A list of the 30 companies in the Shadow Stock portfolio as of March is contained in the Excel Online file below. Use the spreadsheet to answer the following questions.

Jack would like to select a simple random sample of 5 of these companies for an interview concerning management practices.

a. The Shadow Stock companies are listed in column A of the Excel worksheet provided above. In column B we have generated a random number for each of the companies. Use these random numbers to select a simple random sample of 5 of these companies for Jack by finding the smallest random number, the second smallest random number, etc. in column B using an Excel function.

The random numbers corresponding to the first 5 companies selected are (to 5 decimal places):

First company (smallest random number) ____

Second company (2nd smallest random number) ____

Third company (3rd smallest random number) _____

Fourth company (4th smallest random number) _____

Fifth company (5th smallest random number)______

0.15106
0.78664
0.46736
0.31288
0.05743
0.96845
0.70824
0.43701
0.68709
0.49262
0.69531
0.04123
0.51061
0.23796
0.92181
0.91875
0.97469
0.78824
0.30299
0.61512
0.83291
0.05894
0.76809
0.85076
0.61597
0.42998
0.92434
0.36411
0.72285
0.29854

Answers

Last one of the first one try the last one first

A circle has a radius of 3.6 calculate the area of circle use 3.14 round your answer th the nearest hundredth of a square meter

Answers

Answer:

40.72units^2

Step-by-step explanation:

Given data

Radius= 3.6 units

The area is given as

A=πr^2

substitute

A=3.142*3.6^2

A=3.142*12.96

A=40.72units^2

Hence the area is 40.72units^2

What is the smallest possible value x could take given that it must be an integer?
x>−3

Answers

Answer:

The smallest possible value that x could take is -2.

Step-by-step explanation:

Integer values:

Integer values can be either positive or negative, with no decimal parts. The integer set is given by:

{...,-3,-2,-1,0,1,2,3,....}

x>−3

We want the first integer on the number line that is greater than -3. This is -2.

So the smallest possible value that x could take is -2.

In AGHI, GI is extended through point I to point J, mZGHI = (2x - 3)º,
mZIGH = (2x + 15)°, and m_HIJ = (7x – 18)'. Find mZGHI.

Answers

Answer:

m<GHI = 17°

Step-by-step explanation:

m<GHI = (2x - 3)°

m<IGH = (2x + 15)°

m<HIJ = (7x - 18)°

<HIJ is an exterior angle of ∆GHI

<GHI and <HIJ are both interior angles of ∆GHI that are opposite to the exterior angle.

Therefore, based on the exterior angle theorem of a triangle, we would have the following equation:

m<GHI + m<IGH = m<HIJ

(2x - 3)° + (2x + 15)° = (7x - 18)° (substitution)

Solve for x

2x - 3 + 2x + 15 = 7x - 18

Add like terms

4x + 12 = 7x - 18

4x - 7x = -12 - 18

-3x = -30

Divide both sides by -3

x = 10

✔️m<GHI = (2x - 3)°

Plug in the value of x

m<GHI = 2(10) - 3 = 20 - 3

m<GHI = 17°

A football is originally priced at $15. In this state, the sales tax rate is 7%. What was the total price of the football?

Answers

Answer:

107%=16.06

Step-by-step explanation:

im pretty sure that's it, if its not please correct me.

Find the slope of the graphed line below. Help please!

Answers

Answer:

3,4

Step-by-step explanation:

up 3 and right 4. your welcome

Help ASAP! I’m confused. Thanks!!

Answers

Answer:

B

Step-by-step explanation:

Answer: B

Step-by-step explanation: Adjacents are two angles that equal 180 I think.

quickly please im very confused

Answers

Answer:

A: -16/3

B: 16/3

C: -6

D: -6

E: 6

Step-by-step explanation:

A would be -16/3 because you multiply -2 time 8 which is 116. And the denominator is 3.

B would be 16/3. It is the same as problem A but there are two negatives which make positive.

C is -6. You just divide -18/3.

D is the exact same as C. It just has parenthesis but the answer is still -6.

E is 6 because there are two negatives which make a positive.

pls help this is due today whoever anders the most questions gets brainliest ​

Answers

Answer:

4. percent...........


5th grade math. Correct answer will be marked brainliest.

Answers

Answer:

part a is 3500

Step-by-step explanation:

n-10 +9n -3= ggggggggggggggggggggggggggggggggggg

Answers

Answer:

1.428571428571429

Step-by-step explanation:

Answer:

n-10 +9n -3= ggggggggggggggggggggggggggggggggggg

Step-by-step explanation:

n-10 +9n -3= ggggggggggggggggggggggggggggggggggg

Figue out the measures

Answers

Answer:

Angle 1 is 134 and Angle 2 is 46

I don’t get this Need help asap

Answers

Answer:

Step-by-step explanation:

x - 2y =8

   -2y = -x + 8

      [tex]y = \frac{-1}{-2}x+ \frac{8}{-2}\\\\y =\frac{1}{2}x - 4[/tex]

When x = 4,

     [tex]y = \frac{1}{2}*4-4\\\\ = 2-4\\\\y = -2[/tex]

(4, - 2)

When x = -4,

    [tex]y =\frac{1}{2}*(-4) - 4\\\\ = -2 - 4\\\\= - 6[/tex]

(-4, -6)

Plot the points (4, -2) and (-4 , -6) in the graph and Join the points

a car is traveling at a speed of 83 mph. what is the cars speed in miles per minute? how many miles will the car travel in 2 minutes?

Answers

It’s 1.4 miles per min and 1.8 miles in 2 minutes :)

After a discount of 30%, the sale price of a ride
pass at a fun park is $35. What was the original
price?

Answers

Answer:

Step-by-step explanation:

Its simple really, its 45.5

Since its a mark down and you want to find the original number, you have to multiply 35 by 1.3

35 x 1.3 = 45.5

Which then gives you 45.5

I just need a little help ​

Answers

The answer is B your welcome

. Of the 200 students surveyed in 5th grade, 120 prefer bananas and 80 prefer apples. what is the part to whole ratio?​

Answers

120:200 prefer bananas, 80:200 prefer apples

Tanvi finds that her robot vacuum can clean her 150-square-foot kitchen in 1 of an hour. How
many square feet could the robot vacuum clean in 1 hour?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
square feet
Submit
X X Practice in the app
Wariant

Answers

Answer:

300

Step-by-step explanation:

hurry I am timed Which part of the cell holds genetic information in the molecule DNA?

ribosome


chromosomes


Golgi body


vacuole

Answers

Answer:

Chromosomes

Have a great day!

Answer:

chromosomes are genetic materials found in the Nucleus of a cell, and hence it holds DNA .

What place is the digit 3 in the number 6,257.839

Answers

Answer:

tenths

Step-by-step explanation:

Hundredths place

0.tenths hundredths thousandths

value of b in the quadratic equation 3x/4=1/x

Answers

Is 0 one of your answer options? If so the answer is 0.

15. A private swimming club
ges $2.50
After the first hour, swimmers have to pay an additional $1.50 for each h.
hour, or part of a half hour thereafter. Georgina and her friend swam int
pool for x hours.

Answers

Answer:$11.00

Step-by-step explanation:

Which fraction is represented by point A on the number line?
20 points please help me! If your just gunna say points then nobody even bother actually answering my question.

Answers

Answer:

It would be 1

Step-by-step explanation:

because after the number 0 would restart to back to 1

does any one know the correct answer that is good in math

Answers

The answer is B!! :))
The answer is B because linear is constant

I'm learning how to write equations of lines and I'm not sure how to answer this problem. can someone please help me?​

Answers

Answer:

sorry... i think i have never seen a problem like this..3

Answer:

y = -½x - 8

Step-by-step explanation:

You can see that (0,-8) and (2,-9) are points on the line. Use their coordinates to find the slope of the line.

Then use the slope and one of the points to write an equation in point-slope form.

The tables show the amount earned by James and Paco working at the same store.

James's Hours Amount Earned
3 $35.40
5 $59.00
8 $94.40

Paco's Hours Amount Earned
2 $24.00
4 $48.00
7 $84.00
What are the two equations that can represent James and Paco's hourly wages, where h is the number of hours worked and d is the amount of money earned?

Compare the equations to determine if there is any difference between what James and Paco make each hour.

Answers

its pacos hour because as you can see he makes more i just know trust me its pacos

Evaluate the expression when x=4, y=-6, and z= -3.

3x – 2y
----------------
Z​

Answers

Answer:

3x-2y=3(4)-2(-6)

12+12=24

Now, we divide the result of 3x-2y by z

Therefore, we have 24 divide - 3

-8

Therefore, the answer is - 8

plz help me i will give 14 points!!!

Answers

$7420, I’m pretty sure.

What is an equation of the line that passes through the points (4, -8) and (-4, 2)?
Put your answer in fully reduced form.

Answers

When you use slope formula to find the slope, (4,-8) and (-4,2) it equals M = -5/4

Pls help me this is 7th grade (ADVANCED)

Answers

Answer:

Step-by-step explanation:

Any line will add up to 180 degrees. If you subtract the 165 degrees from 180 (total), you will get the x value.

180 - 165 = 15 degrees

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