The length of a rectangle is 7 feet less than three times the width, and the area of the rectangle is 66ft^2 . Find the dimensions of the rectangle.

Answers

Answer 1

Answer:

Step-by-step explanation:

w = width

3w = three times the width

3w-7=7 feet less than three times the width

l = length = 3w-7

A=length × width (lw)

66 = (3w-7) × (w)

66 = 3w^2 - 7w

3w^2 - 7w -66 =0

factor

3 = 3 × 1 and 66 = 6 × 11,

6 × 3 = 18,  11 × 1 = 11,  18 - 11 = 7

(3w   )(w   )=0 so far

(3w   )(w  6)=0 so far

(3w   11)(w   6)=0 so far

(3w+11)(w-6)=0

w-6=0

w=6

3w=3*6=18

3w-7=3*6-7=18-7=11

w=6 feet

l=11 feet


Related Questions

If g(3) = 5 and g(-1) = 5, explain why g(x) does not have an inverse.

Answers

g(x) cannot have an inverse because it gives the same output value for two individual input values.

In this case, g(x) is 5 when x is both 3 and -1. Hence, g(x) does not have an inverse.

Let me know if you have any questions, thanks!

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

y = -3x +7

Step-by-step explanation:

how is this college level ?

HELP LAST ATTEMPT !!!!!?

Answers

Answer:

180=34+4x+90

180=124+4x

4x=56

X=14

Find the derivatives.

Answers

f ' (0) exists if the limit,

[tex]\displaystyle \lim_{h\to0}\frac{f(0+h)-f(0)}h[/tex]

exists, and f ' (0) has the value of this limit.

In order for this limit to exist, both limits from either side of h = 0 must exist.

Suppose h < 0. Then 0 + h is also negative, so by definition of f(x) we have

f (0 + h) = ((0 + h) + 1)² = h ² + 2h + 1

Then in the limit, if h is approaching 0, it must be from below or from the left:

[tex]\displaystyle \lim_{h\to0^-}\frac{f(0+h)-f(0)}{h} = \lim_{h\to0^-}\frac{(h^2+2h+1)-1}{h} = \lim_{h\to0^-}(h+2) = 2[/tex]

Now suppose h > 0, so that 0 + h is positive and h approaches 0 from above or from the right. Then

f (0 + h) = 2 (0 + h) + 1 = 2h + 1

and

[tex]\displaystyle \lim_{h\to0^+}\frac{f(0+h)-f(0)}h = \lim_{h\to0^+}\frac{(2h+1)-1}{h} = \lim_{h\to0^+}2 = 2[/tex]

Both one-sided limits match, so f ' (0) = 2.

which expression is equivalent to 2 (3g-4)-(8g+3)​

Answers

Answer:

-2g-11

Step-by-step explanation:

=6g-8-8g-3=-2g-11

What is the value of each expression 12 x 1/8 in simplest form?

Answers

Answer:

1 1/2

Step-by-step explanation:

12 x 1/8 =

12/1 x 1/8 =

12/8 =

3/2 =

1 1/2 (1.5)

*At Step #3, 4 goes into both numbers to get 3/2. But, The simplest form is 1 1/2 (1.5)

The graphs below have the same shape. What is the equation of the blue
graph?
GO) = ?
6
F(x) = x2
5
-5
G(x) =
A. G(X) = (x - 1)
B. G(X) = x2 + 1
C. G(x) = x2 - 1
D. G(X) = (x + 1)2
100 points !!!!

Answers

Answer:

D

Step-by-step explanation:

The graph G(x) is moved to the left by 1.

So it would be G(x) = (x+1)^2

The equation of the blue graph is,

⇒ g (x) = (x + 1)²

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The equation of the red graph is,

⇒ f (x) = (x)²

Since, The blue graph is shift 1 unit from red graph.

Hence, The equation of the blue graph is,

⇒ g (x) = (x + 1)²

Thus, The equation of the blue graph is,

⇒ g (x) = (x + 1)²

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

The diameter of Jupiter is about 1.4 x 10 5 kilometers. The diameter of Mars is snout 6.8 x 10 3 kilometers. About how many times greater is Jupiter’s diameter of Mars

Answers

Answer:

Jupiter's diameter is "about" 21 times greater than Mars with an exact answer of around 20.588

Step-by-step explanation:

Jupiter = 1.4 x [tex]10^{5}[/tex] = 140,000

(1.4 "plus 5 places" is how I think of it to make it easier)

Mars = 6.8 x 10³ = 6,800

To find how many times greater Jupiter is than Mars we can divide tje diameter of Jupiter by Mars:

140,000 / 6,800 = 20.588235 etc

I am not sure how far you are rounding, but Jupiter's diameter is "about" 21 times greater than Mars

pwease help i also giving another brainliest

Answers

Answer:

9.45 (Jill)

Step-by-step explanation:

2.7 x 3.5 = 9.45

Lisa put the decimal in the wrong spot.

Use a calculator to approximate cos 43° and round to
four decimal places.

Answers

Answer:

.7314

Step-by-step explanation:

I plugged this number into the calculator and got .7313537016, and then rounded it to the fourth decimal place, which gave me my answer

Tell whether each fraction, [tex]\frac{1}{n}[/tex], is written as a terminating
decimal or a repeating decimal for the given values
of n. Write T for terminating or R for repeating.

Answers

Answer:

ANSWER EQUALS NUMBER MULTIPLY BY TWO

PLEASE MARK ME BRAINLIST

Answer:

n = 2 ⇒ 1/n = 1/2 = 0.5 Tn = 3 ⇒ 1/n = 1/3 = 0.(3) Rn = 4 ⇒ 1/n = 1/4 = 0.25 Tn = 5 ⇒ 1/n = 1/5 = 0.2 Tn = 6 ⇒ 1/n = 1/6 = 0.1(6) Rn = 7 ⇒ 1/n = 1/7 = 0.(142857) Rn = 8 ⇒ 1/n = 1/8 = 0.125 Tn = 9 ⇒ 1/n = 1/9 = 0.(1) Tn = 10 ⇒ 1/n = 1/10 = 0.1 T

A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for every 5 milliliters of compound B. If a chemist wants to make 408 milliliters of the drug, how many milliliters of compound A are needed?

Answers

Answer:

153

Step-by-step explanation:

The formula is 3 mL of A to 5 mL of B.

Let's say the chemist uses just the numbers in the formula.

Add 3 mL of A to 5 mL of B.

3 mL + 5 mL = 8 mL

The chemist ends up with 8 mL of the drug.

He really want 408 mL.

408 mL is how many times greater than 8 mL?

408/8 = 51

He needs to use 51 times the numbers in the formula.

51 * 3 mL of A + 51 * 5 mL of B =

= 153 mL of A + 255 mL of B

= 408 mL of the drug

Answer: 153

Question 4: In a certain organization 20% of the men and 40% of the women attended. the program review meeting that was held in Abuja last Dec 2018. If 35% of all the employees are men. What % of all the employee went to the program review meeting?​

Answers

Answer:

.33

Step-by-step explanation:

m=male

f=female

a=attended the review

P(A|M)= .2

P(A|F)= .4

We want: F∩A+M∩A

Recall the conditional probability formula (A|B)=(A∩B)/B

.2*.35+.4*.65= .33

Find the value of x......

Answers

Answer:

100

Step-by-step explanation:

Since, line a is parallel to line t ( from diagram ).

x - 30 and 70 are alternate interior angles.

Reason : -

Alternate interior angles are equal when two lines are parallel and cut by a transversal line.

x - 30 = 70

x = 70 + 30

x = 100

the answer above is correct

Joseph is reading a 32 page book. he reads 6 pages in 15 minutes. if he continues to read at the same rate how long it takes to read the entire book

Answers

Answer:

80 minutes

Step-by-step explanation:

Time taken to read 1 page = 15/6 = 2.5 minutes

time taken to read 32 page = 2.5 * 32 = 80 minutes

At a diving competition, Allison scored 78.5 on her first dive. Hannah's score on her first dive was 74.65. How many more points did Allison score on her first dive than Hannah? Show your work. ​

Answers

Answer:

78.5-74.65=3.85

Step-by-step explanation:

7. You earn $7.80 an hour working as a dog sitter. You work 12.5 hours
during the weekend. How much money do you makely
7.8
PLEASE SHOW THE WORK

Answers

Answer:

la app es la mejor gracias

Step-by-step explanation:

kzemwmqoqlwmlzosmiw k wlwlqmwnqlqnqnnqnw b ww wnqkq n1 11nn1n1k1k1kwnwmwnwy7juhhhjuyyhhhhhyujhhhyjyyyyyynwnqkwnbu. u u. ininikwmwmw

What is the equation of this line?

y=3/4x+2

y=4/3x−2

y=3/4x−2

y=−3/4x−2

Answers

Answer:

y=3/4x-2

Step-by-step explanation:

Y-Intercept is -2 so it can't be the first option.

Then for the slope it goes up 3 and over 4. So the slope is 3/4.

So the equation is y=3/4x-2

In the diagram shown, C is the midpoint of BD. What is the
length of AC?
Set up an equation based on the given information, solve
for x, and plug answer back in to answer the question

Answers

Answer:

AC = 20

Step-by-step explanation:

C is the midpoint of BD.

That means that BC = CD

BC = x + 4

CD = 3x - 10

x + 4 = 3x - 10                       Subtract x from both sides

4 = 3x - x - 10                       Combine

4 = 2x - 10                            Add 10 to both sides

4 + 10 = 2x - 10 + 10            Combine

14 = 2x                                 Divide by 2

14/2 = 2x/2                          Combine

7 = x

AC = AB + BC

AC = 2x - 5 + x + 4

AC = 3x - 1

AC = 3*7 - 1

AC = 21 - 1

AC = 20

Determine the value of x.
X 1
X 1.5

A)x=1
B)x=2.5
C)x=2
D)x=2.9​

Answers

Answer:

The correct option is C. (x=2)

Step-by-step explanation:

Given

Length of the hypotenuse of the right angled triangle (h) = 2.5 cm

Length of one of the side (a) = 1.5 cm

Let the length third side be 'b' cm

By Pythagoras theorem

h² = a² + b²

Adding Values on both sides

⇒ (2.5)² = (1.5)² + b²

⇒ 6.25 = 2.25 + b²

⇒ 6.25 - 2.25 = b²

⇒ 4 = b²

⇒ √4 = b

⇒ 2 = b

b = 2

3/4 divided 2/5
Let me know as fast as possible

Answers

Answer:

1 7/8

Step-by-step explanation:

thankyousm!! please help me

Answers

4x10^8 = 400,000,000 so that’s your answer

The Students on each team who drew the greatest number will be the captain of that team. Place the players of the Lions team in order from Least to Greatest.

Who was the captain of the Lions Team?

Answers

Chan, Caleb,Lydia,Ryan, Anya .

Hi! I am giving the community a chance, will give brainliest if you answer this question for 20 points

Answers

Answer:

Step-by-step explanation:

Lol, so you start by looking at two of your fingers.

You pull up two more fingers.

To find the answer, you add those two numbers (two and two), which gives you four.

Final Answer: 'Four' in words or 4 in numbers.

Hope you found this helpful, or at least amusing.

Find the value of g for which MATH is a parallelogram.
A. 5
B. 6
C. 7
D. 10

Answers

Answer:

the answer is b.6

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

First correct answer gets Brainliest

Answers

Answer:

2nd option is the correct answer

Simplify.
320 (1/2)^5
A. 10
B. 50
C. 32
D. 160

Answers

Answer: A

Step-by-step explanation:

Answer:

[tex]320\left(\frac{1}{2}\right)^5=10[/tex]

Step-by-step explanation:

[tex]320\cdot \frac{1}{2^5}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}[/tex]

[tex]=\frac{1\cdot \:320}{2^5}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:1\cdot \:320=320[/tex]

[tex]=\frac{320}{2^5}[/tex]

[tex]Factor 320: 2^{6}*5[/tex]

[tex]=\frac{2^6\cdot \:5}{2^5}[/tex]

[tex]cancel \frac{2^{6}*5}{2^{5} }:2*5[/tex]

[tex]=2\cdot \:5[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:2\cdot \:5=10[/tex]

[tex]=10[/tex]

Hope it helps pls mark me as brainliest

Simplify, then solve

Answers

Answer:

Where is equation to solve??

Evaluate the expression.

Answers

{ [ (20-32)÷(-6) ]² -11 }÷(-7)= { [ -12÷(-6) ]² -11 }÷(-7)= { [ 2 ]² -11 }÷(-7)= { 4-11 }÷(-7)= -7÷(-7)= 1

please mark this answer as brainlist

Question 10 of 10
Simplify 43.45
A. 168
B. 16.15
C. 48
O O
D. 415
SUBMIT

Answers

Answer:

C

Step-by-step explanation:

4^3 x 4^5 =4^8

You add the exponents together because they have the same base and it's multiplication sum.

Other Questions
what are buffers and why are they important to cells discuss how the proper ties of water hole earth super life Pls help me with this question and explain thx!! Which of the following cities is regularly among the top 5 highest homicide rates?O a New York, NYO b. Oakland, CAO c. Detroit, MIO d. Memphis, TN Someone plz help me :( ___% of 75 is 25Please help help asap, 20 points Write an equation in point-slope form of the line that passes through the given point and with the given slope m. (-7,5); m = 6 HELP ME OUT PLEASE! Carina loved running, and she loved winning too. She was the captain and star athlete of her track and field team. Although Carina wasnt an excellent runner when she first joined the team two years earlier, she practiced all the time and soon began to win almost every race in which she competed. Carina was doing so well that she thought she might become the winningest track and field athlete in her schools history! 2One afternoon at track practice, Coach Winder nabbed everyones attention to introduce a new athlete. This is Roberto," he said. "He just transferred to our school from Greensboro Middle School. Please welcome Roberto to the team! 3The members of the team clapped and jostled each other as they tried to shake Robertos hand. As the team captain, Carina shook Robertos hand first. She introduced herself and told Roberto that she was excited to have another team member. Roberto told Carina that he had been reluctant about joining the team, but Carina assured him that he would have a marvelous time. 4The next day, the members of the track team stretched before running some sprints. Carina told Roberto that he could race with her. Dont worry, she said. Ill go easy on you because its your first practice. 5Carina and Roberto lined up at the starting blocks. When they heard the CRACK of the starting pistol, Roberto and Carina started. After a short distance, Carina realized that Roberto was no longer beside her. She turned to see how far behind he had fallen, but to her amazement, Roberto was not behind her. She looked up and saw Roberto surging ahead. His feet moved as fast as lightning! When Carina realized that she was about to lose, she ran as vigorously as she could; however, it wasnt enough. Roberto triumphed. Carina seemed almost paralyzed with shock, but she managed to smile and congratulate him. 6Over the next few weeks, Roberto became a phenomenon on the track. No matter how hard Carina trained, she could never beat Roberto. 7One evening after a track meet, Carina was desolate. Roberto had won first place, and Carina had come in third! She considered hanging up her running shoes and quitting the team. Just as she was about to call Coach Winder, her father entered the living room. Carina explained her situation to him. 8If winning is so important to you that you cant merely have fun being a member of the team, said Carinas father, then I guess quitting is your only option. But, before you make your decision, think about why you originally joined the team. 9The next day, Carina walked into Coach Winders office and handed him a slip of paper. Coach Winders eyes widened as he read it. Then, he closed the note and shook his head approvingly. 11Thats right, Carina said with a smile, Id like Roberto to serve as co-captain of the team.What happens in the RESOLUTION of this story? A) Carina goes to the coach to suggest that she and Roberto become co-captains. B) Roberto joins the track team and quickly becomes competition for Carina. C) Carina loses a race to Roberto and decides to quit track for good. D) Over the past couple of years, Carina has improved her racing skills through lots of practice. PLEASE HELP 100 POINTS AND BRAINLEST TO WHOEVER CAN HELP ME!!!!!Precalculus: Use Function Notation and Describe Graphs ProjectDescriptionIn this project you will use words and function notation to describe the connection between the transformation of a functions graph and the affect on the functions equation. Then you will explain how the Point-Slope equation for a line can be explained as a transformation of the parent function.RequirementsYou may submit a Word document, or Powerpoint file or pdf. Name your file: Last name first name Use Function Notation and Describe Graphs Project. (My project done in Word would be name Parker Carla Use Function Notation and Describe Graphs Project.docx) Projects that are not named properly will be reset for you to resubmit your project. Blank projects or irrelevant files will result in the project being reset and the student losing access to auto-progression.Answer the following questions using words and the appropriate equation from the Transformation Equations Bank.What must be done to a functions equation so that its graph is shifted vertically upward?What must be done to a functions equation so that its graph is shifted horizontally to the rightWhat must be done to a functions equation so that its graph is stretched vertically?Describe what the graph of looks like.Explain how the Point-Slope equation, is a transformation of . explain the changes over time that occured during the paleolithic to neolithic period Laptop is a small computer which may run with battery.True or false.... EVALUATE THE FUNCTION REQUESTED. WRITE YOUR ANSWER AS A FRACTION IN LOWEST TERMSI WILL GIVE BRAINLIEST I NEED THIS ANSWER ASAPP! Plz help I need help This language is spoken in the country that is shaped like a boot.A. GermanicB. RomanceC. Slavic christian ran 112.8 ft in 6 minutes. how many feet did christian run in 1 minute HELP ME PLEASE What is 6,728 16 Explain how conditions in the mantle crate a conventional current Steven has $50 yend on drinks for his coworkers. Thecholces are fresh orange juice, which costs $2 75 percup, and coffee, which costs $2.50 per cup. I Stevenspends $31 and purchases twice as many cups of coffeeas cups of orange juice, how many ops of orange julcedoes he buy?A-1B-2C-6 D-8E-16 Reya is a neuroscientist who studies behaviors in mice. She is working on a project in which the mice are given a snack when they push a small button on the wall of their enclosure. At first, the mice don't understandthe connection between thebutton and the snack. In time, they leam to push the button whenever they want a snack. Reya's experiment an example of what type of conditioning?A. operantB. classicalC. magicalD. phantom