The length of a rectangle is 6 centimeters less than twice its width. The perimeter of the rectangle is 48 cm. What are the
of the rectangle?


Answers

Answer 1

Answer:

the length is 12 and the width is 9.

Step-by-step explanation:

The first step is always to assign letters to the variables.  We can call length L and width W.

Since all units are in cm, unit conversion is unnecessary.

Next, set up some equations.  L=2W-6 because of the first sentence of the problem.  Length times width equals area, so L*W=108.

Now that there are two equations and two variables, the next step is to solve the system.  I'm going to solve it by plugging in the right side of the first equation in for L in the second equation.  This gives me (2W-6)*W=108.  Distributing the W gives me 2W^2-6W=108, or W^2-3W-54=0.  Using the quadratic formula, I get that W=9.  Using the first equation, L=2*9-6=12.  So the length is 12 and the width is 9.


Related Questions

Un depósito de agua se llena en 5 horas empleando el grifo A, y, en 2 horas empleando el grifo B. Si se emplean ambos grifos simultáneamente. ¿Cuánto se demoran en llenar el depósito de agua?

Answers

Answer: Sí papi

Step-by-step explanation:

3/4 +z greater than or equal to -3/4 I’m am looking for what Z equals

Answers

Answer:

z is greater than or equal to negative three halves

Step-by-step explanation:

subtract 3/4 from each side then simplify.

17. What is the annual salary for a person who earns a
weekly
salary of $560.00?

Answers

Answer:

$29120

Step-by-step explanation:

There are 52 weeks in a year.

52 x 560 = $29120

_____are agents that can cause infection and disease.

Answers

It could be any of the five groups: viruses, bacteria, fungi, Protozoa, and helminths (worms).

The function f(x) = 4x + 10 models the amount of money Francis makes when babysitting for x hours. How much money will he make
for 2 hours of babysitting work?
18
-3
-2
2

Answers

Answer:

18

Step-by-step explanation:

You plug in 2 hours as your x value. You get 4(2) + 10 = 18.

The amount of money he will make for 2 hours of babysitting work is 18 dollars.

What is a function?

The function is a type of relation, or rule, that maps one input to a specific single output.

We have been given that the function f(x) = 4x + 10 models the amount of money Francis makes when babysitting for x hours.

Plug in 2 hours as x value.

f(x) = 4x + 10

f(2) = 4(2) + 10

f(2) = 8 + 10

f(2) = 18

Hence, he will make 18 dollars for 2 hours of babysitting work

Learn more about function here:

https://brainly.com/question/2253924

#SPJ2

True or false? The graph represents a function

Answers

Answer:

False. This is not a function.

Step-by-step explanation:

By using the vertical line test, it shows that this graph is not a function. The imaginary vertical line would go through the graph twice. To be a function, the imaginary vertical line can only go through once.

The statement is false because if the red line had a vertical line going through it the line would hit it twice as shown in the picture below

Factor x^2 -5x - 14 ??

Answers

Answer:

=(x-7)(x+2)

Step-by-step explanation:

Answer:

[tex]x {}^{2} - 5x - 14 \\ = x {}^{2} - (7 - 2)x - 14 \\ = x {}^{2} - 7x + 2x - 14 \\ = x(x - 7) + 2(x - 7) \\ = (x - 7)(x + 2)[/tex]

Thank you ☺️☺️

Solve 5x – 2y = 11 for y.​

Answers

answer
42

step by step
5 times 11 - 2 times 11

Marla is solving the equation shown below. Two of her friends, Peter and
Uma present equations that they claim are equivalent to Marla's. Which
statement is correct about their equations.
=
Marld's equation :
[(x + 5) + x ] + 8 15
Peter's equation : (x + (5 + x)] + 8
+ 8 = 15
Uma's Equation : (x + 5) + (x + 8]
= 15
Only Peter's equation is equivalent to Marla's
Only Uma's equation is equivalent to Marla's
Both Peter and Uma have written equations that are equivalent to Marla's.
Neither Peter nor Uma's equations are equivalent to Marla's.

Answers

Answer:

2(2x +4y) +(3x -y) = 2(10) +(8)

.. 7x +7y = 28

Marla has incorrectly calculated the constant as 12. It should be 28.

Step-by-step explanation:

6 pack of soda costs $2.40. A 12 pack of the same soda costs $5.40. Which is the better deal? Explain your reasoning.

Answers

Answer:

The 6 pack

Step-by-step explanation:

I say this mainly because if you buy two 6 packs of soda that will add up to 4 dollars and 8 cents which is cheaper than the 12 pack.

How much would you have to deposit today to have an accumulated amount of $20,000 in 20 years if yearly interest is 4.75% compounded continuously?

Answers

Answer: $7734.82

Step-by-step explanation:

You would use the equation F=Pe^rt because the interest is continuous.

What we know:

F= 2000

r= 4.75%

t= 20

Plug in the information to the equation: 2000=Pe^.0475*20.

Because we need P by itself, you would divide the e^rt on both sides so then they cancel out and you get 2000/e^.0475*20 = 7734.820469.

Rounding it to the hundredth place, you’ll get $7734.82

Hope that this helps :)

What does E =mc2 equal

Answers

Answer:

E=mc2 ................

E=mc2 is Energy equals mass times the speed of light squared.

Mind-BLOWN lol

The Homerun Hitter’s Academy charges thirty-five dollars per hour for batting lessons, with a registration fee of fifteen dollars per year. Janice’s parents paid $155 in the month of August.

Answers

Answer:

h==4

Thank me later :)

Answer:

15+35h=155

h=4

Step-by-step explanation:

Please Help!! I don’t understand this!!

Answers

Answer:

d=3

Step-by-step explanation:

so yu do 18+18 and yu get 36 and then you do 43+3 vause that is how muvk the lockers cost

Answer:

$2

Step-by-step explanation:

Fees = $18

Locker fee =$d

Total cost for 2 people,including locker for 2 people

=$40

2($18 + d) = $40

$36 +2d = $40

2d = $4

d = $2

if you want to check

Fees for one people =$18

Two people =$18 × 2 = $36

Total cost for 2 people - locker for 2 people = $40 - $ 2($2) = $40 - $4 = $36

Solve -4 x (- 10.5 )
40.5
14.5
42.4
42

Answers

It’s 42 if you need work tell me

A man has 27 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 525 cents, how many dimes and how many quarters does he have?
Your answer is
number of dimes equals=

number of quarters equals=

Answers

Answer:

17(quarters)

10(dimes)

Step-by-step explanation:

Hi there !

dimes = 0.1$ = 10c

quarters = 0.25$ = 25c

d + q = 27 => d = 27 - q

10d + 25q = 525

replace d

10(27 - q) + 25q = 525

270 - 10q + 25q = 525

25q - 10q = 525 - 270

15q = 255

q = 255 : 15

q = 17(quarters)

d = 27 - q

= 27 - 17

d = 10(dimes)

Good luck !

PLS HELP ME! I HAVE NO IDEA HOW TO WORK THIS ;-; will mark brainliest!

Answers

Hope I got them all. No mistakes. Hope it helped!!

What is the sum of 3b(b - 4) and 6 (b – 8)?
A
36(1 – 26 – 16)
B
36(6 – 2 – 16)
3(62
2b - 16)
3(62 – 2 – 166)

Answers

B= 6 +/- square root of negative 28 /2

Can someone help me with this? I don’t understand this that well.

Thank you.

(P.S, will give Brainliest to whomever gets it correct first.)

Answers

Answer: 1, 3, and 5 I think

Step-by-step explanation:

Rational numbers are numbers that can be written as quotients

8th grade math: Mr. Giles has 6 horses; each horse eats about 85 pounds of feed per year.
How many pounds of feed will 6 horses eat in 1 years?

Answers

Answer:

510 pounds

Step-by-step explanation:

6x85=510

Which figure is symmetric with respect to a point?

Answers

Answer:

B.

Step-by-step explanation:

I just did it on edg

Answer:

B

Step-by-step explanation:

Did it on edge

Q2 - Expected and observed frequencies

It is beleived that a 6-sided dice is biased so that:

If you roll the dice 360 times, what is the expected frequency for each score?

P(1) = 0.1 P(2) = 0.15 P(3)= 0.05 P(4) = 0.2
P(5) = 0.2 P(6) = 0.3


Score | 1 2 3 4 5 6
expect| ***6 boxes are here**
-ed |
frenqu|
-ency |

—————————

In fact the observed frequencies are as follows:

Score 1. 2. 3. 4. 5. 6
Observed. 39 59. 17. 71. 78. 96
frequency

What does this tell you?
1. the model seems reasonable
2. the model is wrong
3. you need to buy a new dice

Answers

Answer:

1 and 3. For 1, look below. You really do need to buy new dice.

Step-by-step explanation:

For the sake of simplicity let's turn all these decimals to ratios.

Divide all by 0.05, then let's add the observed frequency on top. Then we can divide the big number by the small one.

2 - 39: 20

3 - 59: 20

1 - 17: 17

4 - 71: 18

4 - 78: 20

6 - 90: 15

It's up to you to decide if the model is reasonable. To me, it is.

If m∠ABC=7x-2 and ∠CDE=5x+16 are congruent, find m∠ABC?

Answers

Answer: m∠ABC = 61°

Step-by-step explanation: Since angles are congruent, make the equation

7x-2 = 5x + 16

7x-5x = 16 +2

2x = 19

x = 9

Substitute 9 for x

7(9) -2 = m∠ABC .    and      5(9) + 16 = m∠CDE

63-2 = 61° = m∠ABC             45 + 16 = 61   True!

FIRST TO ANSWER GETS BRAINLIEST!

Answers

35= -160/9 is the answer

What is the equation and the slope of each of the following lines ?

Answers

Answer:

create a graph

Step-by-step explanation:

like this

X Y

-3

0

3

and solve for y

Y=3x I just know so yea

A bike shop has 11 1111 red bikes, 3 33 blue bikes, 4 44 orange bikes, and 12 1212 silver bikes. For every 1 11 orange bike, there are 3 33 _ _ _ _ _ _ _ _ _ _________\_, \_, \_, \_, \_, \_, \_, \_, \_. Choose 1 answer: Choose 1 answer: (Choice A) A Red bikes (Choice B) B Blue bikes (Choice C) C Silver bikes

Answers

Answer:

C. Silver bikes

Step-by-step explanation:

Given that:

Number of red bikes at the bike shop = 11

Number of blue bikes at the bike shop = 3

Number of orange bikes at the bike shop = 4

Number of silver bikes at the bike shop = 12

Let us find the ratio of each bike with orange bikes to find the answer.

Orange bikes: Red bikes = 4 : 11

i.e. for every 4 orange bikes, there are 11 red bikes.

Orange bikes: Blue bikes = 4 : 3

i.e. for every 4 orange bikes, there are 3 blue bikes.

Orange bikes: Silver bikes = 4 : 12 = 1 : 3

i.e. for every 1 orange bike, there are 3 silver bikes.

Therefore, the answer is:

C Silver bikes

given the functions
question in attachment

Answers

The answer shows in the picture

Solve for x.
32 – 8 < 23
OR
4x + 26 > 6

Answers

Answer:

32-8< 23

24< 23

4x + 26>6

4X +26> 6 + 26 move the constant to the right

4x =32  divide both sides by 4

  x=  8

Step-by-step explanation:

20 POINTS HURRY

What is the value of c in the equation 3/5x=-45

Answers

Answer:

x= -1/75

Step-by-step explanation:

Answer:

there is no c

Step-by-step explanation:

What is the goal of solving an equation

Answers

Answer:

To get your variable to one side of the equation and a number on the other side to solve your problem.

Other Questions
Vandalay Industries manufactures two products: toasters and blenders. The annual production and sales of toasters is 2100 units, while 1600 units of blenders are produced and sold. The company has traditionally used direct labor hours to allocate its overhead to products. Toasters require 1.25 direct labor hours per unit, while blenders require 1 direct labor hours per unit. The total estimated overhead for the period is $149,315. The company is looking at the possibility of changing to an activity-based costing system for its products. If the company used an activity-based costing system, it would have the following three activity cost pools: Expected activity EstimatedActivity cost Overhead pool cost Toasters Blenders Total Setup costs $8,585 215 batches 450 batches 665 batchesEngineering costs $73,980 870 engineering 820 engineering 1,690 engineering hours hoursMaintenance costs $66,750 2,7250 direct 1,195 direct 3,945 direct labor hours labor hours labor hoursTotal $149,315The overhead cost per Blenders using the traditional costing system would be closest to:____.A. $28.27.B. $37.85.C. $93.32.D. $19.40. [tex]7\1 \times 28\9[/tex]ya I need some help here If 8+x* = 57, then x = ? Organelles in cells work together to contribute to the function of a cell as a system. Which of the following provides the best explanation of organelles working together to make food through photosynthesis?A. The cell membrane takes in water and carbon dioxide, and mitochondria absorb sunlight energy.B. Chloroplasts absorb sunlight energy, and the cell membrane takes in water and carbon dioxide.C. The cell membrane takes in water and oxygen, and chloroplasts absorb sunlight energy.D. Mitochondria absorb sunlight energy, and vacuoles provide water. The following is an example of aThe music festival was a great success, the organizers made a lot of money.a fragmentb. fused sentencec. comma spliced. complete sentence A rock is thrown upward with a vertical speed of 35 m/s and a horizontal speed of 12 m/s onlevel ground. How far away does it land? 1. How a car looks like it is moving slow as it passes you in another moving car is an example of _____.2.The reading you see on your cars speedometer is an example of _____.3. An object _____ is the distance and direction of the object change in position. It is not the same as distance. 4. If you are not showing down or spending up you are going at ____. this is for H and gigi Select all the true statements given the figure.A. m4 = m2B. m4 = m1 + m2C. m4 = 180 m3D. m4 = m1 + m2 + m3E. m4 = m3 + m1 How areMary Maloney and The Landlady different from each other? If you were to create an empire right now, in 2020, how would you gain power, and why? Yall please help quickIll give you points! In which ways does the moderator demonstrate appropriate behavior? Check all that apply. Why is it important to be able to give steps, directions, or useful information about a topic? If you are 5 foot 10 inches, how tall are you in meters? Meters ( write you answer 4 significant figures e.g. 2.852) Read the excerpt from "The Secret Life of Walter Mitty."The Commander . . . walked over and twisted a row of complicated dials. "Switch on No. 8 auxiliary!" he shouted. "Switch on No. 8 auxiliary!" repeated Lieutenant Berg. "Full strength in No. 3 turret!" shouted the Commander. "Full strength in No. 3 turret!" The crew, bending to their various tasks in the huge, hurtling eight-engined Navy hydroplane, looked at each other and grinned. "The Old Manll get us through," they said to one another. . . ."Not so fast! Youre driving too fast!" said Mrs. Mitty. "What are you driving so fast for?""Hmm?" said Walter Mitty. He looked at his wife, in the seat beside him, with shocked astonishment. She seemed grossly unfamiliar, like a strange woman who had yelled at him in a crowd.How does the contrast between Mitty's view of himself and the reader's view of Mitty affect the story in "The Secret Life of Walter Mitty"? It makes Mitty seem humble because he imagines himself as an average man, while readers see him as a daring adventurer. It adds pathos to the story because Mitty imagines himself still serving in the Navy, while the reader sees him as suffering from battle fatigue. It adds humor to the story because Mitty imagines himself as a brave hero, while readers see him as meek and henpecked. It fuels the reader's outrage because Mitty imagines himself as a safe and careful driver, while the reader sees him as deliberately reckless. Basic job Costing 1. Our company makes customized jewelry Customer 101 orders a ring (job 101). 2. It requires 2 grams of 14k gold, 1 diamond and 3 rubies. c. Customer 102 orders a pendant (job 102). It requires 4 grams of 14 k gold, and 1 ruby. d. Purchasing buys 1,000 grams of 14k gold for $24,000. 10 diamonds for $28,000, and 10 rubies for $14,000. e. For the month, the company had factory labor costs of $280,000 and 10,000 hours.Required:Prepare the journal entry for the purchases/receivings.Prepare the journal entry for the direct materials requisitions (by job).Prepare the journal entry for factory payroll. what is 2 1/4 +3 1/4 what is the answer for this Why do some people love avant garde fashion? How does the eccentricity of a typical cometary orbit compare to that of a typical planet