The area of a rectangle is 24 square inches. Determine both dimensions if the length is 6 inches less than three times the width

Answers

Answer 1

Answer:

width is 4 inches

length is 6 inches

Step-by-step explanation:

the length is 6 inches less than three times the width

l = 3w - 6

a = l * w

a = (3w - 6)w

a = 3w^2 - 6w

area of the rectangle is 24 square inches

3w^2 - 6w = 24

subtract 24 from both sides

3w^2 - 6w - 24 = 0

Divide both sides by 3

w^2  - 2w - 8 = 0

Factor

(w - 4)(w + 2) = 0

w = {-2, 4}

disregard the negative root since measurement must be positive

w = 4

l = 3w - 6

l = 3(4) - 6

l = 6


Related Questions

Glasses cost $0.50. You buy 2. How much do you pay?

Answers

Answer:

1 dollar

$1.00

$1

Step-by-step explanation:

Plot the image of quadrilateral ABCD under a reflection across line L

Answers

                          hope this helps                                    

Step-by-step explanation:

The coordinates of the reflection of a point (x, y), across the y-axis is the point (-x, y)

Please find attached the plot of the image of quadrilateral ABCD under a reflection of the line l

Method:

The coordinates of the vertices of the given quadrilateral ABCD are as follows

A(-2 0), B(-3, 4), C(0, 4), and D(-1, 1)

Due to its orientation, the line l can be taken as being equivalent to the y-axis

The coordinates of the image of (x, y) following a reflection across the y-axis is (-x, y)

Therefore, for the image of the quadrilateral ABCD following a reflection across the y-axis to give the quadrilateral A'B'C'D', the coordinates of A'B'C'D' are;

A(-2 0), reflected across the y-axis gives the image A'(2, 0)

B(-3, 4), reflected across the y-axis gives the image B'(3, 4)

C(0, 4), reflected across the y-axis gives the image C'(0, 4)

D(-1, 1), reflected across the y-axis gives the image D'(1, 1)

The coordinates with which the image of the of the quadrilateral ABCD can be plotted are therefore;

A'(2, 0), B'(3, 4), C'(0, 4), and D'(-1, 1)

The plot of the quadrilateral ABCD and the image A'B'C'D' can be created using MS Excel presented in the attached graph

Learn more about transformations here:

brainly.com/question/21388875

laminiaduo7 and 1 more users found this answer helpful

A circle has a diameter of 18 inches. Which is the following is closet to the circumference of the circle?

Answers

Answer:25.13

Step-by-step explanation:

use the formulas

C=2πr

d=2r

Tell whether the sequence is arithmetic. If it is, what is the common difference?
2, 7, 13, 20...

a. yes; 5
b. yes; 6
c. yes; 2
d. no

Answers

Answer:

No

Step-by-step explanation:

7 - 2 = 5

13 - 7 = 6

20 - 13 = 7

Second Graph problem! Can anybody please help me out with this? (Almost done for today) (Algebra graph problem)​

Answers

Answer:

  x = -2

Step-by-step explanation:

The expression f(x) = 1 corresponds to the point on the graph that is 1 unit above the x-axis. You can locate that horizontal line and see where it intersects the graph. That point of intersection  is 2 grid squares to the left of the y-axis, where x = -2.

  f(-2) = 1

  x = -2

What is 5m + 5n where m = 10 and n = -5?

A. 25
B. 26
C. 62
D. 52

ADD EXPLANATION IF NECESSARY. TYSM! :D​

Answers

Answer:

A

Step-by-step explanation:

5 times 10= 50

5 times -5= -25

50-25=25

Relatively Simple Math, pls lend a hand. 50 points and Brainliest

Answers

B is the correct answer ,,,

Answer: B

Step-by-step explanation:

Lauren spends her allowance $50 a month on make up and CDs. She spends $10 more a month on CDs than she does on make up. How much money does she spend every month on each product

Answers

Answer:

$30 on CDs

$20 on Makeup

hope it helps

Step-by-step explanation:

The money spent on each product is $20 and $30 respectively.

How to solve a linear equation?

A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.

Given that,

The money spent by Lauren on make up and CDs is $50.

Suppose the money spent on CDs be x.

Then, the money spent on make up is  x + 10.

As per the question the following equation can be formed,

x + x + 10 = 50

=> 2x + 10 = 50

=> 2x = 40

=> x = 20

Thus, money spent on make up is 20 + 10 = 30 dollars.

Hence, the money spent on CDs and make up is $20 and $30 respectively.

To know more about linear equation click on,

https://brainly.com/question/11897796

#SPJ2

PLEASEE HELPP I WILL GIVE BRAINLIEST

Answers

Answer:

p=0.4

Step-by-step explanation:

6(p+2.25)=15.9

6p+13.5=15.9

6p=2.4

p=0.4

6(p+2.25)=15 9/10
6p+13.5=159/10 (convert to improper frac)
6p=159/10-13.5
6p=159/10-27/2
6p=12/5

So p=2/5! :)

In the past, Marcie's father rode his bike 108 miles in 7.5 hours. Her mother rode the same distance in 8 hours. Marcie plans to ride her bike 108 miles at a steady rate of 18 mph for y hours. Will she match her father or mothers time? Use the equation 108÷y=18 to justify your answer.​

Answers

Using the speed - distance relationship, Marcie's time will be 6 hours. Hence, she'll match her parents time.

Recall :

Speed = distance / time

To obtain Marcie's time :

18 = 108 / y

We can solve for y thus :

y × 18 = 108

y = 108 / 18

y = 6 hours

Since, Marcie's will cover the same distance in 6 hours, the she'll match and surpass her parents time.

Learn more : https://brainly.com/question/25449918

Determine the ordinary simple interest on a 90-day loan of Php8000 at 8 ½ % interest rate.

Answers

Answer:

$170

Step-by-step explanation:

Please help WILL GIVE BRAINLIEST! find the missing triangle measurements

Answers

ABC=50

DCE=65

DEF= I think 115

I hope that helps I would appreciate brainliest if possible :)

Which ordered pair is a solution of the
equation?
Y= 32x+5

Answers

Step-by-step explanation:

where are the ordered pairs?

solve pls brainliest

Answers

Answer:

23.4

Step-by-step explanation:

23.4

Answer:

23.40

Step-by-step explanation:

You are going on vacation to england. you have $1,000 and would like to know how much this amount is worth in their currency. england's currency is the pound sterling, which is denoted by the symbol £. you find that the exchange rate is £1 = $1.28. fill out your excel calculated using this exchange ratio to find the pound sterling equivalent of your $1000. then, submit your project on the next page.

Answers

Answer:

yo good luck I dont know the anwsee

16.12 divided by 52 QUICK

Answers

0.31

Ok Hope it’s correct ;)

A coin is tossed 4 times. What are the odds against the coin showing tails all 4 times?

Answers

It’s 50/50 so maybe 2 times? IM NOT SURE SORRY

Answer:

1/16

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] * [tex]\frac{1}{2}[/tex] * [tex]\frac{1}{2}[/tex] * [tex]\frac{1}{2}[/tex]

Kelly watches 3/5 of a movie in 5/8 of an hour. How much time wil it take her to watch the entire movie?

Answers

well, putting the movie in fifths, she watched 3/5, the whole movie will be 5/5 = 1.

[tex]\begin{array}{ccll} \stackrel{movie}{fraction}&hour\\ \cline{1-2} \frac{3}{5}&\frac{5}{8}\\[1em] \underset{whole}{1}&x \end{array}\implies \cfrac{~~ \frac{3}{5}~~}{1}=\cfrac{~~ \frac{5}{8}~~}{x}\implies \cfrac{3}{5}x=\cfrac{5}{8}\implies \cfrac{3x}{5}=\cfrac{5}{8} \\\\\\ 24x=25\implies x = \cfrac{25}{24}\implies x = 1\frac{1}{24}\qquad \textit{1 hour, 2 minutes and 30 seconds}[/tex]

1.1 is the result of finding the product of 1/2 and 3 minus a number. What is the number?
A. 5 1/5
B. 2 9/20
C. 4/5
D. -19/20

Answers

Answer: i think the answer is B.

Step-by-step explanation:

D can’t be correct cause it’s a negative and there’s no negatives in the question , if you look at B 2 9/20 can go into 1/2.

Answer:

C. 4/5

Step-by-step explanation:

k12

Plz help I need help

Answers

Answer:

7q + 12

Step-by-step explanation:

simply arrange the given expressions into the traditional way of adding numbers like 1 + 1 but vertically like : 1

1 +

which is equivalent to

6q + 1 +

q + 11

______

7q + 12

why? because 6q plus q is equal to 7q and 1 + 11 is equal to 12

good day.

♪Answer : 6q + 1 + q + 11= (6q + 1q) + (1 + 11)= 7q + 12

the local library raised money by having a used book Rebecca volunteered to help. her task was to stick price labels on each of the 198 books on a bookshelf in 5 minutes Rebecca labeled 18 books at this rate what was the total number of minutes rebecca needed to label all 198 books

Answers

Answer:

the local library raised money by having a used book Rebecca volunteered to help. her task was to stick price labels on each of the 198 books on a bookshelf in 5 minutes Rebecca labeled 18 books at this rate what was the total number of minutes rebecca needed to label all 198 books

Mikey's family is taking a road trip. Their car can travel no more than 260 miles without needing to refill the gas tank. They have traveled 112 miles since they last filled the gas tank.

Mikey knows that the inequality representing this situation is 112+x≤260.

Select from the drop-down menu to correctly interpret the solution of this inequality.

Mikey's family can drive
at most 148
more miles before they need to refill the gas tank.
Answers choices are:
More than 372
More than 372
at most 148
at least 148

Answers

The solution to the inequality is that Mikey's family can drive at most 148

Inequality shows the non equal comparison of numbers or expressions.

Given that Mikey situation can be represented by the inequality:

112 + x ≤ 260

Solving the inequality:

112 + x ≤ 260

Subtract 112 from both sides of the equation:

112 + x - 112 ≤ 260 - 112

x ≤ 148

Hence from the inequality, we can see that Mikey's family can drive

at most 148

Find out more at: https://brainly.com/question/25285332

Based on the diagram, which is a true statement?
o If a student plays in the band, then he/she is an
honor student.
Olfa student is an honor student, then he/she plays in
the band.
O If a student is not an honor student, then he/she
cannot play in the band.
O If a student is an honor student, then he/she may
also be a band member.

Answers

Answer:

top god's menu back door distract 9 call scars double knot thunderous gone away gone day SKZ ALL AROUND THE WORLD

Answer:

Step-by-step explanation:

if a student is an honor student, he/she may also be a band member

What is the value of x?

Answers

Answer:

41º

Step-by-step explanation:

As this is an isosceles B and D are congruent.

The sum of the angles in a triangle is 180º

Therefor

2x = 180 - 98

2x = 82

x = 41º

Graph the line with slope 7 and y-intercept -7

Answers

Given :-

To graph the line with slope 7 and y intercept -7.

To Find :-

The graph of the line .

Solution :-

Here since the slope of the line is 7 and y intercept is -7 , we can use the slope intercept form of the line to find the equation of the line . The slope intercept form of the line is ,

[tex]\longrightarrow[/tex] y = mx + c

On putting the respective values ,

[tex]\longrightarrow[/tex] y = 7(x) + (-7)

[tex]\longrightarrow[/tex] y = 7x - 7

For the graph see attachment .

OMG HELP RN

Amelia had 29 sea shells. Then, she collected 10 more sea shells. After that, she gave S sea shells to her little sister. Which of the following shows how many sea shells she has currently?
A.
29 - 10 - S
B.
29 + S + 10
C.
29 + 10 - S
D.
29 + S - 10

Answers

Answer: It should be C

Step-by-step explanation: This is because since She has 29 seashells then got 10 more that would add it and since she gave some to her little sister we subtract there

Answer:

I think that it would be C 29+10-S

Step-by-step explanation:

I say this because she had 29 then got 10 which would be 29+10 and she gave S away that's 2o+10-S

Help help help help help pleases pelass thank you

Answers

Answer:

a' (-6,7) b' (-5,3) c'(-2,4)

Step-by-step explanation:

Jacob travels to the shops 5 miles from his home, then he travels to the
post office 3 miles from the shops. Afterwards he travels home. What is
the total distance Jacob traveled? What is the total displacement of
Jacob?*
Distance 8 miles : Displacement 8 Mlles

Distance 16 Miles: Displacement 0

Distance 8 Miles: Displacement 8 Miles

Distance 6 miles : Displacement 8 miles

Answers

Answer:

[tex]\huge\boxed{Distance:16mi}\\\huge\boxed{Displacement: 0mi}[/tex]

Step-by-step explanation:

Because Jacob starts and ends at his house, his total displacement is 0mi, because the distance from his house to his house is 0 mi.

Because Jacob travels 5 miles to the shops, then (N.B. I'm inferring here) in a straight line, 3 more miles to the post office, a total distance of 8 miles, then another 8 backwards, he travels a total distance of 16mi.

Hope it helps :) and let me know if you want me to elaborate.

what's
- 5 3/4 + (-4 5/6) in simplest form​

Answers

Answer:

-(127/12)

Step-by-step explanation:

-23/4 -29/6 = -254/24

-254/24 = -127/12

What fraction of the rectangle is shaded? PLS PLS PLS help ASAP! Ty

Answers

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Calculate the total area of the rectangle:

21 x 12 = 252

Half of the rectangle is unshaded so:

252 ÷ 2 = 126

For clarification, side A is the top, side B is the left hand side and side C is the bottom.

Now, find the area of the unshaded side of the other triangle. As the length of side C is 21 and the shape is a rectangle, side A is also 21. We need to calculate the amount is unshaded on this side so:

21 - 14 = 7

(7 x 12) ÷ 2 = unshaded

84 ÷ 2 = 42

So now we know the total of the shape that is shaded, we can now subtract this from the total area of the shape:

252 - 126- 42 =   84

Which in fraction form is:

[tex]\frac{84}{252}[/tex]

This can be simplified down by dividing both the numerator and the denominator by 3:

[tex]\frac{84 \div 3}{252 \div 3}[/tex]

=[tex]\frac{1}{3}[/tex]

Hope this helps!

Other Questions
Observe how people communicate. Think about the clarity, and/or efficacy of:What their key message is: _______________________________________________________________Who the audience is: _______________________________________________________________What their goal is: _______________________________________________________________What medium was used: _______________________________________________________________How effective the process was and why: _______________________________________________________________ Which do you think is easiest and hardest to keep track of: hazardous waste that is present as a gas, liquid, or solid? Why? PLEASAE HELP ME YOU GUYS!!!!!!!!!!!!!!! 40 POINTS IF YOU ANWSER ALL!!!!What do fear-based marketing messages and advertisements focus on? (Select the best answer.)Question 1 options:Threats to the company's businessThe company's competitors and their pricesThe bad things that will happen to people who don't buy the productNegative changes in the market that have reduced demand for the product Question 2 (1 point) Jacob is a marketer at Gamer Way Video Games. He is currently working to develop four different color versions of their latest video game console. Which of the four Marketing Mix strategies is Jacob working on?Question 2 options:ProductPlacePricePromotionQuestion 3 (1 point) If a product is difficult to find or only carried by high-end retailer, this adds to it's prestige. This always benefits your marketing message. Question 3 options: True FalseQuestion 4 (1 point) Which of the following can help you evaluate the performance of your ads and other marketing strategies?Question 4 options:Sending out a press release multiple timesCollecting secondary data about your target marketAsking customers how they found out about your company or productAsking competitors what they think of your advertising strategy If you were told an atom was an ion, you would know the atom must have a?A neutral chargeB chargeC negative chargeD positive charge f(x)=2x-6 answer please if an organism is a protostome, what else can you conclude about its body plan? How does Ben Franklin react when Charles, Dr. Mesmers assistant, tries to memorize him? 2. How many tens are in 9 hundreds? Which of the following statements must be true about the polynomial function f(x)?. Why is tourism a service oriented industry? [tex]-\sqrt{3} + \sqrt{(\sqrt{3}-1)^2 }[/tex] the term that refers to an acute infection of the fold of skin around a nail is If you are preparing lemons for guests drinks or garnish you must? W]hen a cryptographic system is used to protect data confidentiality, what actually takes place? the offspring resulting from a cross between two organisms differing in one or more genes Which type of environment would experience the greatest amount of weathering and erosion of rock?Select one:a.A rainforestb.An arid desert c.The polar tundrad.A mountain rangeI will give brainliest to first answerer. Order the integers from least to greatest7, -3, -25, 25, 0, -10,5A 0.-3.-10.-25.5.7.25B -25.-10. -3.0.5.7.25C -3.-10.-25, 0.5.7.25 explain why the asassination of franz ferdinand was important during WW1 The sun, fire, lightnings and fireflies are all