A rectangle has a length of 17 less than 6 times it's width. If the area of the rectangle is 7585 square feet find the length of the rectangle​

Answers

Answer 1

9514 1404 393

Answer:

  205 ft

Step-by-step explanation:

Let w represent the width of the rectangle. Then the length is (6w-17) and the area is ...

  A = LW

  7585 = (6w-17)(w)

  6w² -17w -7585 = 0

Perhaps most straightforward is using the quadratic formula to solve this.

For ax² +bx +c = 0, the solution is x = (-b±√(b²-4ac))/(2a). For the above quadratic, the solution is ...

  [tex]x=\dfrac{-(-17)\pm\sqrt{(-17)^2-4\cdot6\cdot(-7585)}}{2\cdot6}=\dfrac{17\pm\sqrt{182329}}{12}\\\\x=\dfrac{17\pm427}{12}=\{-34\frac{1}{6},37\}[/tex]

The width is 37 feet, so the length is ...

  6(37) -17 = 205 . . . feet

The length of the rectangle is 205 feet.


Related Questions

1 A local college rents calculators to students
taking math classes. The cost to rent the
calculator is $5 per month plus a
nonrefundable fee of $10. Write an equation
to represent the cost, c, of renting a
calculator for m months.
2
Fleanor hart

Answers

link is scam dont use it or put it in pls :)))) it’s like. boy

How much is 2/9th of 234.900?

Answers

Given:

The number is 234.900.

To find:

The [tex]\dfrac{2}{9}[/tex]th of 234.900.

Solution:

We need to find the [tex]\dfrac{2}{9}[/tex]th of 234.900. So, multiply [tex]\dfrac{2}{9}[/tex] and 234.900 to get the required value.

[tex]\text{Required value}=\dfrac{2}{9}\times 234.900[/tex]

[tex]\text{Required value}=\dfrac{469.800}{9}[/tex]

[tex]\text{Required value}=52.200[/tex]

Therefore, the [tex]\dfrac{2}{9}[/tex]th of 234.900 is 52.200 or it can be written as 52.2.

Given = x= [b a 4 a ] Y =[c d a b] and z = [a c 16 b] What is Y if x-2y=Z?​

Answers

Answer:

a  [2, -4, -6, -2]

Step-by-step explanation:

The calculated value of the matrix Y is : Y = [tex]\left[\begin{array}{ccc}2&-4\\-2&-6\end{array}\right][/tex]

What is matrix?

In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.

Here, we have,

Calculating the matrix Y

From the question, we have the following parameters that can be used in our computation:

Given that

X - 2Y = Z

So, we have

b - 2c = a

a - 2d = c

4 - 2a = 16

a - 2b = b

So, we have

4 - 2a = 16

-2a = 12

a = -6

Next, we have

a - 2b = b

-6 - 2b = b

3b = -6

b = -2

Next, we have

b - 2c = a

-2 - 2c = -6

-2c = -4

c = 2

Lastly. we have

a - 2d = c

-6 - 2d = 2

-2d = 8

d = -4

The matrix Y is given as: Y =[c d a b]

So, we have

Y = [tex]\left[\begin{array}{ccc}2&-4\\-2&-6\end{array}\right][/tex]

Read more about matrix at

brainly.com/question/11989522

#SPJ2

2) Shannon and Lisa start running at the same time
in the same direction
3
Shannon can run 1 - miles in 1/2 of an hour.
4
2
Lisa can run 2 1/2 miles in of an hour.
3
They both continue running at a constant rate.
WIN
How far apart will they be after 3/4 of an hour?

Answers

Answer:

0.1875 miles (or 3/16 of a mile)

Step-by-step explanation:

In order to make the math easier for calculating the distance, the values have to be calculated to whole hours.

1.75*2 = 3.5

2.5 * 3 = 7.5, 7.5/2 = 3.75

Now, I divide the whole hours into quarters

3.5/4 = 0.875

3.75/4 = 0.9375

Multiply both values by 3 to get the distance after 3/4 of an hour

0.875 = 2.625

0.9375 = 2.8125

remove the smaller value from the larger value

2.8125 - 2.625 = 0.1875

I might have used a more over-complicated method than what you might have been taught, but it should be just as efficient. Good luck with your assignment!

10 ft
А
- “不
6 ft
v
10 ft -
12 ft
B
C | 12 ft
4 ft
4 ft

Answers

Answer:

58

Step-by-step explanation:

case I added it and I m right

A popcorn cup is in the shape of a cone. The slant height of the cone is 9 inches, and the diameter is 6.2 inches. What is the volume of the cone? Use pi equals 3.14. help

Answers

Answer:

V = 262.61 m³

Step-by-step explanation:

Given: Slant height of the cone is 9 inches, the diameter is 6.2 inches.  

To find: Volume of the cone

Formula: The formula for the volume of a cone is V = 1/3hπr².  

Solve: The base area of the cone. π defines the ratio of any circle's circumference to its diameter and is approximately equal to 3.141593, however, the value 3.14 is often used.

V = π × r² × h / 3

π × r²

V = 262.610935 m³

In the nearest tenths, the volume of the cone is V = 262.61 m²

Can someone please help me with Systems of Equation. If so please comment here and friend me at fmilluzionz#1521. I am in 8th grade math

Answers

Answer:

The FitnessGram PACER Test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The test is used to measure a student's aerobic capacity as part of the FitnessGram assessment. Students run back and forth as many times as they can, each lap signaled by a beep sound.

Step-by-step explanation:

HELP PLS HURRY! The graph shows the proportional
relationship between the total cost and the
number of pounds of cashews purchased.
What would the total price in dollars be for
11.5 pounds of cashews?

Answers

Answer:

57.5$

Step-by-step explanation:

5$ a pound, 11.5 pounds, multiply them and you get 57.5$

Answer:

45

Step-by-step explanation:

Solve the following inequality.
-4x + 5 2 25 + 6x
A. X2
B. XS2
C. XS-2
OD. XX-2

Answers

It’s b I hope this work for you b.9 g.3 g.4

help it's due today ​

Answers

Answer:

0.000096

Step-by-step explanation:

Answer:0.000096

Step-by-step explanation:

i looked it up good luck on your khan academy xD!

help me pls i don't have many points pls help if you don't believe me go to my acc and look at my points i only have 13

Answers

Answer:

1. 14

2. 17.5

3. 60

4. 238

5. 91.4375

6. 58.065

Step-by-step explanation:

Sorry, I'm only doing 6, GOOD LUCK!!!

(05.03 LC)A polygon is shown:

A polygon MNOPQR is shown. The top vertex on the left is labeled M, and rest of the vertices are labeled clockwise starting from the top left vertex labeled, M. The side MN is parallel to side QR. The side MR is parallel to side PQ. The side MN is labeled as 3 units. The side QR is labeled as 7 units. The side MR is labeled as 3 units, and the side NO is labeled as 2 units.

The area of polygon MNOPQR = Area of a rectangle that is 9 square units + Area of a rectangle that is ___ square units. (Input whole numbers only, such as 8.)

Numerical Answers Expected!

Answers

Answer:

Do u have a picture? I can answer it better where its correct

Step-by-step explanation:

triangle A' B' C' is the result of dilating ABC about point C by a scale factor of two. Determine whether each claim about the properties of A' B' C' and ABC is true or false​

Answers

True because all properties are preserved under dilation from triangle ABC to A'B'C'.

We have given a triangle ABC is dilated by a factor of 2/3 , result triangle A'B'C'

We have to determine after dilation,  the properties of triangle ABC and A'B'C' is true or false.

What is the transformation?

A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.

Dilation of a triangle are results in either decreases or increases in the corresponding length of the triangle, it depends on by which scale factor triangle is dilated ,and dilation does not affect the angle measures of the triangle.

here scale factor is 2/3 so the corresponding sides of the triangle A'B'C' decreases.

So, the dilation of the triangle is not congruent but similar to the original triangle ABC

Therefore, the basic properties of triangles are preserved under the dilation of triangle by a scale factor.

To learn more about the transformation visit:

https://brainly.com/question/4289712

#SPJ2

Answer:

Step-by-step explanation:

The answer is FALSE for the first one AB and A'B' are on the same line.

and TRUE for the second one The measures of B and B' are equal.

Find 0% of 60:

Find 100% of 60:

Find 50% of 60:

Find 25% of 60:

Find 75% of 60:

Answers

Answer:

Find 0% of 60: 0

Find 100% of 60: 60

Find 50% of 60: 30  

Find 25% of 60: 15

Find 75% of 60: 45

Step-by-step explanation:

In developing a new gasoline additive, researchers randomly select 10 cars and drive them both with and without the additive. The sample mean difference in gas mileage (mpg with additive - mpg without additive) is 0.41 mpg with a sample variance of 0.16. Assume the differences are from an approximately normal distribution. We want to test the hypothesis that the fuel additive has mean mpg less than the mean mpg without the additive. Calculate the test statistic.

Answers

Answer:

The test statistic is t = 3.24.

Step-by-step explanation:

We want to test the hypothesis that the fuel additive has mean mpg less than the mean mpg without the additive.

This means that the null hypothesis is that the difference is less than 0, while the alternate hypothesis is that the difference is 0 or more.

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]s[/tex] is the standard deviation of the sample and n is the size of the sample.

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

Randomly select 10 cars

This means that [tex]n = 10[/tex]

The sample mean difference in gas mileage (mpg with additive - mpg without additive) is 0.41 mpg with a sample variance of 0.16.

This means that [tex]X = 0.41, s = \sqrt{0.16} = 0.4[/tex]

Calculate the test statistic.

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{0.41 - 0}{\frac{0.4}{\sqrt{10}}}[/tex]

[tex]t = 3.24[/tex]

The test statistic is t = 3.24.

What is the maximum number of boxes that can be purchased with $65.00?

Answers

What is the price of the individual boxes?
How ever much the boxes are


The cost to rent a U-Haul is $30 per day plus $0.75 per mile driven. What is the
maximum number of miles that can be driven in one day if the total rental cost cannot
exceed $135?

Answers

Answer: 140 miles

let me know if this is wrong

Step-by-step explanation:

135-30=105

105÷0.75=140

Carissa recently retired, and has $540,000 in savings. She wants to invest as much as possible in a safe CD account paying 1.2% interest, and as little as possible in a riskier bond paying 4.7% interest. She needs to earn $14,880 a year in interest to cover expenses above SSI. How much should she invest in each account?

Answers

Answer:

Don't awnser the bots

Step-by-step explanation:

They will try ro scam you

What is the range of the function graphed below?

A. Y>-1
B X< -1
C X>-1
D Y< -1

LOOK AT THE GRAPH.

Answers

Answer:

Option A

Step-by-step explanation:

Range of a function is defined by the set of y-values (output values).

From the given graph,

Y-values of the exponential function given in the graph vary from y = -1 to y = ∞ (excluding both the points)

Therefore, Range of the given exponential function will be y > -1

Option A will be the correct option.

Find the mean of the data in the bar chart below.

Answers

Answer:

2.5

Step-by-step explanation:

Please help !!!! Please help!!!!! I gave extra points, if you put a link I will report you !

Answers

Answer:

7x+7+5x+14=13x+10

12x+21=13x+10

-12x       -12x

21=x+10

-10    -10

x=11

13(11)+10

angle 4=153

Step-by-step explanation:

I solved it by using my big brain.

Write 3 equivalent ratios for each ratio given.
6.25 to 1.25

Answers

Answer:

3 equivalent ratios are: [tex]\frac{62.5}{12.5}, \frac{625}{125}, 5[/tex]

Step-by-step explanation:

Ratio of a to b:

The ratio of a to b is given by:

[tex]\frac{a}{b}[/tex]

Finding equivalent ratios:

To find equivalent ratios, we multiply or divide both a and b by the same value.

6.25 to 1.25

[tex]\frac{6.25}{1.25}*\frac{10}{10} = \frac{6.25*10}{1.25*10} = \frac{62.5}{12.5}[/tex]

[tex]\frac{6.25}{1.25}*\frac{100}{100} = \frac{6.25*100}{1.25*100} = \frac{625}{125}[/tex]

[tex]\frac{\frac{6.25}{1.25}}{{\frac{1.25}{1.25}}} = 5[/tex]

3 equivalent ratios are: [tex]\frac{62.5}{12.5}, \frac{625}{125}, 5[/tex]

find the value of x.

Answers

Answer:

5

Step-by-step explanation:

5y+155=180

5y=180-155=25

y=5

5y+13x=90

13x=90-25=65

x=5°

y=3x+5


you have to graph it

Answers

Try using m4thway or photom4th

what is the area of the side of this house?

Answers

Answer:

25

Step-by-step explanation:

You are an interior designer being hired to redecorate your client's bedroom and home office. You are confident that you can finish the job with 16 hours of labor and you're going to charge your client $400. What will be your hourly rate of pay?

A. $20

B. $22.50

C. $25

D. $18.50

Answers

Answer:

C

Step-by-step explanation:

Givens

Total Cost = 400 dollars.

Time Taken = 16 hours

Hourly rate = ?

Formula

Hourly Rate = Total Cost / Number of hours

Solution

Hourly Rate = 400 / 16

Hourly Rate = 25

A triangle has angles measuring 23 and 48 degrees. What is the measure of the third angle?

Answers

Answer:

109

Step-by-step explanation:

Hope this helped :)

Answer: The answer is 48 degrees hope this helped

Step-by-step explanation:

Help if you can :)
Also, show work!

Plz dont add any type of link

thxx <3

Answers

there is no question

What is the answer ? What value is missing from the table?

Answers

Answer A. 17

Step-by-step explanation: The cost, in dollars is increasing by $1.05 by 1’s. To get from 1.05 to 2.10 is 1.05. So to find the Gallons of Gas, you would keep adding 1.05 until you get 17.85 or you can multiply the numbers in the answer choice by 1.05 to get your answer.

Answer choices

A) 0.16

B) 0.475

C. 0.84

D. 0.975

Answers

Answer:

I think it's B)

Step-by-step explanation:

Other Questions
Find the mean, median, and mode(s) of the data. Do not round.12, 13, 40, 95, 88, 7, 95 All compounds that have been found to be mutagenic in the Ames test are also carcinogenic. View Available Hint(s) All compounds that have been found to be mutagenic in the Ames test are also carcinogenic. True False Submit Part B Why are liver extracts used in the Ames test? View Available Hint(s) Why are liver extracts used in the Ames test? A liver extract is necessary for the bacteria to produce histidine revertants. Liver enzymes activate the bacterial enzymes. Liver enzymes may activate some innocuous compounds, making them mutagenic. The bacteria require the nutrients present in the liver extract for growth. HELP PLZzzzzzzzzzzzzzzzzzzzzzzzzzzz Today, there are ____ GMO crops currently produced in the US.A. 120B. 10C. 55D. 1000 please help find the missing angles !!!! ____dinero cuesta la pluma? What type of noun is the word Saturns as it is used in the following sentence?Saturns rings are made almost entirely of ice, though they have traces of rocky material.a.Singular nounb.Plural nounc.Possessive nound.Not a noun Help anybody? If so thanks Three interior angles of a polygon are,100degrees,120degrees,and 108degrees.Find the remaining two sides,if one of them is three times the other sinatAccelerationa2 2.847 34TABLEin Elinationt2 t3 T2 21=0.042.29 1.25 1.28 1.271.612 460 = 0.00 4.59 1.16 1.081.12 1-253 so = 0.12 6.89 0.88097 0.534. = 0.16 9.210.89.21 0.850.796. 82/0.67(So0.72 0.77 0.75 l 0-56/0.2849. al27. 4913 11%.41. 2L= 0.2 11.54 1. In 1952 what book became a sensation? Write two numbers that have the given absolute value.22 A machine designed to stretch a stiff spring uses 1,550 J of energy to stretch the spring. If the work output is 1,200 J, what is the machines efficiency? 5 4 2 2 2 2 1 1 3 2 2 3 3 2 1can someone find the median mode and please show how you got it :)you will get top answer the head of state in a parliamentary system What is 45% of 62 please help Read the story :THE MASQUE OF THE RED DEATH and answer this question! How does the description of the clock contribute to the development of the storys theme(s)? Cite evidence in your answer. Who does Schenck compare a drafted soldier to? Do you agree disagree? Why? Economics is focused on the problem of __________, which is created by a world with limited resources and people with unlimited needs and wants.A.scarcityB.terrorismC.abundanceD.extractionPlease select the best answer from the choices providedABCD 1. Find the area13 ft3 ft