The length of a rectangle is two thirds its width. the area is 12 square meters. find its width. round your answer to two decimal places.

Answers

Answer 1
L = [tex]( \frac{2}{3} )[/tex]w
a = 12 
Length times width = area 
L · w = a
[tex]( \frac{2}{3} )[/tex]w · w = 12
[tex]( \frac{2}{3} )[/tex] [tex] w^{2} [/tex] = 12
Divide both sides by [tex] \frac{2}{3} [/tex] or mulitply both sides by [tex] \frac{3}{2} [/tex] (either one is fine)
[tex]( \frac{2}{3} )[/tex] ÷ [tex]( \frac{2}{3} )[/tex] [tex] w^{2} [/tex] = 12 ÷ [tex]( \frac{2}{3} )[/tex]
or
[tex]( \frac{3}{2} )[/tex] [tex]( \frac{2}{3} )[/tex] [tex] w^{2} [/tex] = 12 [tex]( \frac{3}{2} )[/tex]
[tex] w^{2} [/tex] = 18
Square root both sides to get rid of the squared on the w
[tex] \sqrt{w^{2} } [/tex] = [tex] \sqrt{18} [/tex]
w = 4.24

Related Questions

Kevin earns $15 per hour for working 8 hours then he earns $18 per hour for working overtime for 4 hours a day what is the average time he works

Answers

Your awnser is 192 I just Timesd

HELP ME PLS!!


The function graphed shows the total cost for a taxi cab ride for x miles.

Select from the drop-down menus to correctly identify the taxi cab ride information provided by the graph.

The slope is
5, 3, 2.5, 0.2

The slope represents
1)the total cost of the taxi ride
2)the total number of miles traveled
3)the cost per miles traveled
4)the initial cost of the ride

Answers

Your answer would be C. The cost per miles traveled. 

Hope this helps! 

Have a great day. 

~ ShadowXReaper069

The slope of the line between cost of taxi and distance is 2.5 and it represents the cost of taxi per mile of distance travelled.

What is slope of line ?

Slope of line is the angle made by the line from positive x-axis in anticlockwise direction, it also denoted the steepness of the line.

The function graphed shows the total cost for a taxi cab ride for x miles the cost in taxi is shown in y axis and the distance covered by taxi in x axis. Now, to find put the slope we must two coordinates which can be found out from the graph easy by observation as (0,3) and (2,8).

How using slope formula to find the slope of line :

[tex]\begin{aligned}\frac{y_{2}-y_{1}}{x_{2}-x_{1}}&=\frac{8-3}{2-0}\\&=\frac{5}{2}\\&=2.5\end{aligned}[/tex]

It represents the cost of taxi per mile of distance travelled.

Therefore, the slope of the line between cost of taxi and distance is 2.5 and it represents the cost of taxi per mile of distance travelled.

check and know more about slope of line here :

https://brainly.com/question/3605446

#SPJ2

If Michelle walked 5 meters how many inches did she walk

Answers

196. 85 inches. This is because 1 meter is around 39.37 inches

The noise rating of an air conditioner is 50 decibels, and the noise rating of a washing machine is 65 decibels. Determine how many time greater the washing machine's intensity of sound is.

Use the formula , β = 10log I/I 0 where β is the sound level in decibels, I is the intensity of sound you are measuring, and Io is the smallest sound intensity that can be heard by the human ear (roughly equal to 1 x 10^-12 watts/m2).

The washing machine's intensity of sound is (blank) times greater than that of the air conditioner.










Answers

The decibels of the air conditioner is 50, therefore its intensity of sound, I₁, is given by
[tex]10 log \frac{I_{1}}{I_{0}}=50 \\\\ log \frac{I_{1}}{I_{0}}=5 [/tex]

The decibels of the washing machine is 65. Its intensity of sound, I₂, is given by
[tex]10log \frac{I_{2}}{I_{0}}=65 \\\\ log \frac{I_{2}}{I_{0}}=6.5 [/tex]

Therefore
[tex] \frac{I_{1}}{I{0}}=10^{5} \\\\ \frac{I_{2}}{I_{0}}=10^{6.5} \\\\ \frac{I_{2}}{I_{1}}= \frac{10^{6.5}}{10^{5}}=10^{1.5}= 31.6[/tex]

Answer:
The washing machine's sound intensity is 31.6 times greater than that of the air conditioner.


Answer:

the answer is 31.6 on PLATO

A scuba diver used the expression below to describe his position in relation to sea level.

2 + (–20) + 8

Which statement could describe the diver’s movements?
Starting on a platform 2 feet above sea level, dive down to a location that is 18 feet below sea level, and then rise 8 feet.
Starting on a platform 2 feet above sea level, dive down to a location that is 20 feet below sea level, and then rise 8 feet.
Starting 2 feet below sea level, dive down 20 more feet, and then rise to a location that is 8 feet below sea level.
Starting 2 feet below sea level, dive down 18 more feet, and then rise to a location that is 8 feet below sea level.

Answers

2 + (-20) + 8.....when sea level is 0.

starting on a platform 2 ft above sea level....so it is 2
dive down 20 ft....so this is below sea level...so it is -20
rise 8 ft...so it is 8

so ur answer is : 2nd answer choice

Answer:

Starting on a platform 2 feet above sea level, dive down to a location that is 20 feet below sea level, and then rise 8 feet.

Step-by-step explanation:

A scuba diver used the expression below to describe his position in relation to sea level.

2 + (–20) + 8

positive number is the feet above the sea level

negative number is the feet below the sea level (deep)

starting at 2 , 2 feet above sea level then down the sea 20 feet down,

finally rise 8 feet above the sea level

So, Starting on a platform 2 feet above sea level, dive down to a location that is 20 feet below sea level, and then rise 8 feet.

9+7r>r–3≥7r+3

Gonna' have to spam this and make it more points, PLEASEEE!, ALSO GONNA' TALK IN ALL CAPS FOR BETTER UNDERSTANDING!

Answers

I just answered this one

Each exterior angle of an equilateral triangle has which measure?

Answers

Answer:

60 degrees

Step-by-step explanation:

The sum of two numbers is 62 . the larger number is 22 more than the smaller number. what are the numbers?

Answers

Let the smaller number be x. 

larger number: 22+x 

x+(x+22)=62 
2x+22=62 
2x=62-22
2x=40 
x=40/2 
x=20 

The smaller number is 20 and the bigger number is 22+20= 42

Hope I helped :)
the larger number is 42 and the smaller is 20

You purchased a shirt on sale for $17.55. The discount on the shirt was $5.85. What was the original price of the shirt?

Which equation best models the scenario above?



x + 5.85 = 17.55


x - 5.85 = 17.55


x + 17.55 = 5.85


x - 17.55 = 5.85

Answers

The original price of the shirt is simply the sum of the purchased price and the discount price, that is:

original price = $17.55 + $5.85

original price = $23.40

 

The equation that best model this scenario is:

x - 5.85 = 17.55

where x is the original price

PLEASE HELP !!! JIM :)

1. Determine whether the origin is included in the shaded region and whether the shaded region is above or below the line for the graph of the following inequality:

y < two thirdsx + 2

The origin is not included in the shaded region and the shaded area is above the line.
The origin is not included in the shaded region and the shaded area is below the line.
The origin is included in the shaded region and the shaded area is above the line.
The origin is included in the shaded region and the shaded area is below the line.

Answers

Problem 1

Plug (x,y) = (0,0) into the inequality
y < (2/3)x + 2
0 < (2/3)*0 + 2
0 < 0 + 2
0 < 2
The last inequality is true so we do shade the entire region that has the origin in it. In other words, the origin is in the shaded region. For this function, the origin is below the boundary line so the shaded region is below the line

Answer: choice D

==============================================================

Problem 2

x = number of liters of fruit syrup
y = number of liters of water

"The total number of liters of syrup (x) and water (y) is 7 liters" so x+y = 7 which leads to y = -x+7

This graph is the line through (0,7) and (7,0). Every choice seems to have this graph shown.

"Three times the number of liters of water he mixed was 6 more than twice the number of liters of syrup" so we have the equation 
3x = 2y+6
which solves to
y = (3/2)x - 3
This line goes through the points (0,-3) and (2,0)

Choice D looks cut off but it looks like choice D is the answer as its the only one with (0,-3) on the line

Write a polynomial function in factored form with zeros at −2, 0, and 3.

Answers

using x for the variablex = -2, x = 0, and x = 3
so x(x + 2)(x - 3) = 0
x(x^2 + 2x - 3x - 6) = 0
x(x^2 - x - 6) = 0
x^3 - x^2 - 6x = 0
answer
x^3 - x^2 - 6x = 0

hope it helps

Which system is represented by the graph?

a. y > 2x
x + 2y ≤ –8

b. y ≥ 2x
x + 2y < –8

c. y < 2x
x + 2y ≥ –8

d. y ≤ 2x
x + 2y > –8

Answers

Hi again!

The correct answer is option A

See the graph below

To determine the system of two inequalities which is represented by the graph, you have to do such steps:

1 step. The dashed blue line represents sign > or <. The line has the equation y=2x, then the inequality should be y>2x or y<2x. Since point (-1,1) belongs to the blue shaded region, then the inequallity y>2x is true.

2 step. The solid red line represents sign ≤ or ≥. The line has the equation x+2y=-8, then the inequality should be x+2y≤-8 or x+2y≥-8. Since the origin  (0,0) doesn't belong to the red shaded region, then the inequallity x+2y≤-8 is true.

Thus, the system is

[tex]\left\{\begin{array}{l}y>2x\\x+2y\le-8.\end{array}\right.[/tex]

Answer: correct choice is A.

Let the random variable x denote the natural numbers selected at random from one to one hundred. find the mean of x.

Answers

The answer is 50.5. Since X will consist of a random selection of the numbers from 1 to 100, the mean will be the middle of the set of numbers from 1 to 100 (so between 50 and 51). Imagine the set of whole numbers 1 to 100. To calculate the mean, we have to sum all the numbers, then divide by n=100. That gives 50,500/100= 50.5.

The test that gives a list of the possible rational zeros of a polynomial function is called the test.

Answers

Answer:

rational zero

Step-by-step explanation:

How do I solve this??

Answers

You want to use the Pythagorean Theorem: a squared+b squared=c squared


A student’s construction of the perpendicular bisector of is shown below. What is the student’s error?

Answers

The student did not make the opening of each arc drawn from S and T greater than half the length of the line ST. When drawing a perpendicular bisector, the arcs should go past the center of the line segment.

Find an equation for a line that passes through the point (0, –3) and parallel to another line whose slope is 1.2.

Answers

Parallel lines have the same slope, therefore the line we are looking for has a slope of 1.2.

y=1,2x+b

Now, we can plug in the point to solve for the intercept.
-3=1.2(0)+b
-3=0+b
b= -3

Finally, we can fill in the equation with all the information we've uncovered.
y=1.2x - 3

Final answer:

The equation of the line that passes through the point (0, -3) and is parallel to another line with a slope of 1.2 is y = 1.2x - 3.

Explanation:

To find an equation for a line that passes through the point (0, –3) and is parallel to another line with a slope of 1.2, we use the fact that parallel lines have the same slope. Since a line's equation can be written in the form y = mx + b, where m is the slope and b is the y-intercept, and we already know the slope (m = 1.2) and the y-intercept (b = -3, since the line passes through (0, -3)), our equation becomes:

y = 1.2x - 3

This means that any line parallel to one with a slope of 1.2 and passing through (0, -3) will also have a slope of 1.2, but the y-intercept will be unique to the point it passes through.

Find the side length of a square with the same perimeter as a equilateral triangle with side 7 cm.

Answers

We first have to find the perimeter of the triangle.
Since it's a equilateral triangle, which means all the sides of the triangle is the same length.
Perimeter of triangle = 7 x3
= 21
And there r 4 sides in a square,
So just divide 21 by 4
21 ÷ 4 = 5.25
So the answer is 5.25 cm

Final answer:

The side length of a square with the same perimeter as an equilateral triangle with side 7 cm is 5.25 cm.

Explanation:

To find the side length of a square with the same perimeter as an equilateral triangle with sides of 7 cm, first calculate the perimeter of the triangle, which is 7 cm x 3 = 21 cm. Since a square has four equal sides, divide the perimeter by 4 to get the side length of the square. Thus, the side length would be 21 cm ÷ 4 = 5.25 cm.

∠1 is a complement of ∠4, and m∠1=33∘m. Find m∠4.

Answers

Complementary angles equal 90°.

This means that if ∠1 is complementary to ∠4, then 
∠1 + ∠4 = 90°

33 + x = 90
x = 57

m∠4 = 57°
complement , sum = 90
m∠1=33∘
then m<4 = 90 - 33 = 57

answer
m<4 = 57

Which of the following is a function equivalent to f(x) = 5(1.9)3x?

f(x) = 34.29x
f(x) = 5(6.86x)
f(x) = 5(6.86)x
f(x) = 328.51x

Answers

Final answer:

The function equivalent to f(x) = 5(1.9)3x is f(x) = 5(6.86)x.

Explanation:

The function equivalent to f(x) = 5(1.9)3x is f(x) = 5(6.86)x.

An aluminum recycling center pays0.08 per pound for cans how much will make receive for 21.5 pounds of cans

Answers

hey you I don't know so bye

Which form details how much money an employer has withheld for taxes? w-2 a-5 t-10 m-9?

Answers

W-2 Form I Have Personnel Finance so I already Took The First Half of The Course

Answer:

The answer is W-2 form.

Step-by-step explanation:

The answer will be the W-2 Form.

The W-2 form is basically a wage and tax statement. This form is sent by an employer to his employees and to IRS at each year end.

This form tells about the employee's annual wages and the amount of taxes withheld from his paychecks.

Solve the system by substitution, show all steps.
-x-y-z=-8
-4+4y+5z=7
2x+2z=4

Answers

from the third equation      2z=-2x+4
                                          z=-x+2
plug into the second equation    -4+4y+5(-x+2)=7
                                                   -4+4y-5x+10=7
                                                   4y-5x=1
                                                    y=5/4x+1/4
plug both of these into the first equation     x+y+z=8
                                                                    x+5/4x+1/4+(-x+2)=8
                                                                     5/4x+2.25=8
                                                                      5/4x=5.75
                                                                           x=4.6
now plug back into the substitution equations.
z=-x+2= -4.6+2= -2.6
y=5/4x+1/4=5.75+1/4=6

the answer is (4.6, 6, -2.6)

Answer:

In Point Form: (x,y,z)= (3,6,-1)

In Equation Form: x=3, y=6, z=-1

Step-by-step explanation:

1) Solve for x

           2x+2z=4 (Subtract 2z from both sides)

           -2z  -2z

           2x= 4-2z  (Divide 2 from both sides)

           /2      /2

           x=2-z

2) Substitute 2-z for x in

                       -x-y-z=-8

                       -(2-z)-y-z=-8

                       -2+z-y-z=-8  (Combine Like Terms)

                       -2-y=-8 (Add 2 to both sides)

                       +2     +2

                       -y=-6  (Divide -1 from both sides)

                       /-1   /-1

                       y=6

3) Substitute 2-z for x & 6 for y in

                          -4x+4y+5z+=7

                          -4(2-z)+4(6)+5z=7  (Get rid of parentheses)

                          -8+4z+24+5z=7   (Combine Like Terms)

                          9z+16=7  (Subtract 16 from both sides)

                               -16  -16

                          9z+=-9  (Divide 9 from both sides)

                          /9     /9

                          z=-1

4) Now find x by substituting -1 for z in

                                          x=2-z

                                          x=2-(-1)  

                                          x=2+1

                                          x=3  

Therefore the answer is:

In Point Form: (x,y,z)= (3,6,-1)

In Equation Form: x=3, y=6, z=-1

Is the point (−7,1) a solution to the inequality

y < 0.5x + 9 ?

Question 1 options:
True
False

Answers

question 1 true not false

The given point (−7,1) is a solution to the inequality.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

We must determine if the inequality holds for a certain set of ordered pairs in order to determine which ordered pairs constitute the answer to the inequality.

We have been given inequality is:

⇒ y < 0.5x + 9

To determine the point (−7,1) a solution to the inequality

Substitute x = -7 and y = 1 in the inequality, we get

⇒ y < 0.5x + 9

⇒ 1 < 0.5(-7) + 9

⇒ 1 <  -3.5 + 9

Apply the subtraction operation in the above inequality, we get

⇒ 1 < 5.5

This is true.

Hence, the given point (−7,1) is a solution to the inequality.

Learn more about the inequalities here:

brainly.com/question/20383699

#SPJ2

PLEASE HELP!!!!!!!!!!! 35 POINTS
Please solve the following inequality, showing all work and then list 3 numbers that are in the solution set.
-4x – 3 < 29

Answers

-4x-3<29

-4x-3+3<29+3

-4x<32

-4x/-4<32/-4

X<-8

Kayla claims that the absolute value of a number is always greater than the number itself. Which statement about her claim is true? Kayla is correct. Any positive number is greater than a negative, and absolute value of a number is always positive. Kayla is correct. The distance between 0 and a number is always more than the number. Kayla is incorrect. The absolute value of a positive number is negative, and negative numbers are less than positive numbers. Kayla is incorrect. The absolute value of 0 or a positive number is equal to the number.

Answers

Kayla is incorrect. The absolute value of 0 or a positive number is equal to the number.

Solution:

The Claim that Kayla has made that absolute value of a number is always greater than the number itself is  not true.

The correct statement should be, :

The Absolute value of a number is always greater than or equal to the number itself is a true statement.

Symbolically, | x | ≥ x , if x is a real number.→→True statement

Out of four options, given

Option(D)→ The Claim made by Kayla is incorrect.As, The absolute value of 0 or a positive number is equal to the number.

Find the missing angles: you may have to find missing angles that are not labeled.

Answers

b= 55 
angle b +50+75 = 180 ( sum of angles in a triangle )
b= 180-50-75 =55 

b= c = 55 ( vertically opposite angles )
 
d= 125
d= 125 - b ( supplementary angles 
d= 180 - 55 = 125

Step-by-step explanation:

f = 50 (parallel lines)

180 - 50 = a (angle sum of straight line)

a = 130

50 + 75 + b = 180 (angle sum of triangle)

125 + b = 180

b = 180 - 125

  = 55

c = 55 (vertically opposite angles)

e = 55 (alternate angles)

d= 180 - 55 (angle sum of straight line)

 = 125

a jar of coins contains dimes pennies and quarters there are 88 pennies in a jar. There are 5 dimes for every 4 pennies and there are 7 quarters for every 11 dimes how many coins are in the jar? A 180 B 258 C 268 D 350

Answers

I think it is C 268.

Answer:

c 268

Step-by-step explanation:

i did the test on the home school time for learning

How do you write this number in standard form

15,000+7000+400+9

Answers

I believe that the answer to your question is: 2.2409 x 10^4

Find the value of x and y.

A. X=73.3, Y=15.3

B. X=73.3, Y=20.7

C. X=100, Y=10

D. X=100, Y=26

Thank You!

Answers

X is equal to 100 and Y is equal to 16
Other Questions
What is the area of a rectangle with vertices at (6, 3) , (3, 6) , (1, 2) , and (2, 1) ? Enter your answer in the box. Do not round any side lengths. Are these correct? Thank you! Which of the following should the destination of a persuasive speech be?A.) A feeling of apathy and boredomB.) An emotional state or opinionC.) A thorough and neutral understanding of a topicD.) A sense of having been lied to Erik erikson proposed that at each stage of life people face a psychosocial task that needs resolution. according to this theory, the first task that infants wrestle with is Does reading the abstract of an article give you enough information about its contents? What steps does the supreme court take in selecting, hearing, and deciding cases? What is(are) your role(s) in the economy? What do geographers use to indicate the absolute location of any place on earth? The world's breadbaskets refers to which biome? find the sum and express it in simplest form. (ab+4a-6)+(ab+6) This isosceles triangle has two sides of equal length , a, that are longer than the length of the base , b. The perimeter of the triangle is 15.7 cm. The equation 2a + b = 15.7 models this information. If one of the longer sides is 6.3 cm, which equation can be used to find the length of the base ? When a buyer, pursuant to a sale of goods contract, accepts nonconforming goods, the buyer's measure of damages is:? Name all sets of numbers to which each real number belongs. Need answers from 54-59. Thank you. Which three continents was the seven years' war fought on?a.north america, europe, and asiab.north america, europe, and africac.south america, europe, and africad.north america, south america, and europe? The molar mass of the compound was found to be 30.069 g/mol. what is the molecular formula? express your answer as a chemical formula. How is the Burmese python impacting the Everglades ecosystem? The purpose of a subpoena duces tecum is to A. require a health care worker to testify about a patient's condition. B. command a plaintiff to witness during his or her trial. C. limit the amount of information that can be released from a medical record. D. command a witness to produce documents or things. Who said when a man is a traveler, the world is his house & the sky is his roof, where he hangs his hat is his home, & all the people are his family? An english author wrote'' The preaching of sermons is speaking to a Few of mankind, but printing books is talking to the whole world.'' How does this statement suggest a relationship between two of the key events discussed in this chapter? What is the expanded form of the first factor?43 59 A.43 + 0 B.40 + 3 C.54 + 5 D.59 + 0 Steam Workshop Downloader