Mathematics Middle School

If the area of a rectangle is 24a2b and the length is 8ab2, what would be the width of the rectangle, given that width is found by dividing area by length? Simplify the answer.

the quantity of 3 times a all over b
b over the quantity 3 times a
3 over the quantity a times b
3ab

Answers

Answer 1

Answer:

Option the quantity of [tex]3[/tex] times a all over b

Step-by-step explanation:

we know that

The area of rectangle is equal to

[tex]A=LW[/tex]

where

L is the length side of rectangle

W is the width side of rectangle

In this problem we have

[tex]A=24a^{2}b\ units^{2}[/tex]

[tex]L=8ab^{2}\ units[/tex]

Remember that

[tex]W=\frac{A}{L}[/tex]

substitute

[tex]W=\frac{24a^{2}b}{8ab^{2}}=\frac{3a}{b}\ units[/tex]

Related Questions

if a polynomial has one root in the form a+√b , it has a second root in the form of a_√b

Answers

When roots of polynomials occur in radical form, they occur as two conjugates.
That is,
The conjugate of (a + √b) is (a - √b) and vice versa.
To show that the given conjugates come from a polynomial, we should create the polynomial from the given factors.

The first factor is x - (a + √b).
The second factor is x - (a - √b).

The polynomial is
f(x) = [x - (a + √b)]*[x - (a - √b)]
      = x² - x(a - √b) - x(a + √b) + (a + √b)(a - √b)
      = x² - 2ax + x√b - x√b + a² - b
      = x² - 2ax + a² - b

This is a quadratic polynomial, as expected.

If you solve the quadratic equation x² - 2ax + a² - b = 0 with the quadratic formula, it should yield the pair of conjugate radical roots.
x = (1/2) [ 2a +/- √(4a² - 4(a² - b)]
   = a +/- (1/2)*√(4b)
   = a +/- √b
x = a + √b, or x = a - √b, as expected.

Answer:

a - √b

Step-by-step explanation:

If you solve the quadratic equation x² - 2ax + a² - b = 0 with the quadratic formula, it should yield the pair of conjugate radical roots.x = (1/2) [ 2a +/- √(4a² - 4(a² - b)]   = a +/- (1/2)*√(4b)   = a +/- √bx = a + √b, or x = a - √b, as expected.

Eight states in the united states start with the letter M. What fractions of states in simplest form,begins with the leter M?

Answers

50 total states....8 start with M

fraction of states beginning with M = 8/50 reduces to 4/25 <==

A woman bought a dress at a discount of 16 2/3. If the woman paid 32.50, what was the original price of the dress

Answers

the original price = what the woman paid + discount
                           = 32.50 + 16 2/3
                           = 32.50 +  50/3

convert to one form of fractions (improper or decimal)
                           = 49 1/6
                           = 49.16


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

In case of 16 2/3 % discount of the original price:

price after discount = price before discount - discount
                               = x - 16 2/3 % of x
                               = x -  01667x
                               = 0.833 x
                       32.5 = 0.833 x

then x = 32.5/0.833 = 39.015 =~ 39


hope that helps


A peregrine falcon can fly 332 kilometers per hour. How many meters per hour can the falcon fly?

Answers

Well, there are 1,000 meters in a kilometer, so you just need to multiply 1000 by 332.

332 x 1000 = 332,000

A peregrine falcon can fly 332,000 meters per hour. Hope this helps!

~Ash


3 because u would have to divide it up.

Five scouts took a white water rafting trip. The total cost of the trip was $721. Each person in the group received a student discount of $6. Write and solve an equation to find out how much each student paid before discount.

Answers

cost per student before discount = 721/5+6

721/5 = 144.20 +6 = 150.20

Write the equation of a linear function in point-slope form and slope-intercept form for a line that passes through point A(3,-7) and has an undefined slope.

Answers

y+7=? (×-3) is the answer to your question

Jennifer can clean her room in 2 hours, while John can clean the same room in 5 hours. How many hours would it take for them to clean the room together?

7
10
seven tenths
ten sevenths


I think the answer is tenth sevenths but im not sure! Please Help ASAP

Answers

Ten sevenths. Hope this helps

Answer: ten sevenths

Step-by-step explanation:

Given: Time taken by Jennifer to clean her room [tex]t_1= 2 \text[ hours}[/tex]

Time taken by John to clean same room [tex]t_2= 5\text[ hours}[/tex]

If they work together to clean the room , then the total time taken by them is given by :-

[tex]\dfrac{1}{t}=\dfrac{1}{t_1}+\dfrac{1}{t_2}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{2}+\dfrac{1}{5}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{5+2}{10}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{7}{10}\\\\\Rightarrow\ t=\dfrac{10}{7}\text{ hours}[/tex]

Determine the range of: f(x) = 13 - 20x - x^2 -3x^4. Also, find the max. And min. Values and state where those values occur

Answers

To know the range of the equation, you must first see the graph by plotting arbitrary points. Set values of x in any interval and substitute it to the equation. You would get a corresponding value of f(x) or y. When you plot the points, the graph would look like that in the picture.

The range of the graph refers to the coverage of y-values of the curve. From the picture, we could see that it covers most of the negative y-axis. To know at which value, let's find the maxima. There is no minima for this graph as you can see because it extends downwards infinitely at both sides.

To find the maxima, differentitate f(x) with respect to x and equate to 0
f'(x) = 0 = -20-2x-12x^3=0
You can find the roots easily by using a scientific calculator using the mode EQN. For this equation, there are 2 complex root and 1 real root. Thus, x = -1.14. Substitute this to the original equation:

y = 13 - 20(-1.14) - (-1.14)^2 -3(-1.14)^4
y = 29.433

Thus, the maxima is at point (-1.14,29.433). It can't be seen clearly in the graph because of the close intervals.

what's the Least common multiple for 2,6,8?

Answers

2= 2*1

6= 2*3

8= 2*4
8= 2*2*2

The lcm of these three numbers equals 2*2*2*3*1. Notice how we only multiply 3 sets of 2. This is because 2 is a common factor between all 3 of the numbers.

2*2*2*3*1= 24

Final answer: 24

Answer this please image below

Answers

The answer is D.

A histogram never provides information regarding how many for an exact number. A histogram measures frequency by looking at and comparing several ranges.
D or the last answer would be correct.

The last answer includes information that can't be drawn from the histogram.
It ask for a specific number of bottles when the histogram utilizes a range to sort the amount of bottles collected.

Hope this helps! 
 

factors of 212 like finding a common factor its really hard because the number is so high please please HELP ME!!!!!!!

Answers

Answer:

1.2..17.5

Step-by-step explanation:

i had been singing for the operpopitay

Stuart is buying a pair of jeans that regularly cost $40. They are on sale for 20% off. If the tax rate is 8%,what is the sale price of the jeans including tax?

Answers

The sale price of the jeans including tax is going to add up to be $34.56.

Find the measure of angle AOE in the diagram below.
Help will be appreciated!

Answers

i believe the answer is c) 120

Answer:

We choose D

Step-by-step explanation:

Given that:

∠BOA = (3x -28) degrees ∠COD = (66 -x) degrees ∠BOC = 90 degrees

As we know that ∠BOA + ∠COD + ∠BOC= 180 degrees because AD is a straight line, so we have:

(3x -28) + (66-x) +90 = 180

<=> 2x = 52

<=> x = 26 degrees.

=> ∠BOA = 3*26 - 28 = 50 degrees

As we can see that, ∠BOA = ∠DOE (The properties of two straight lines intersect)

<=> ∠DOE  = 50 degrees

Once again, the  AD is a straight line, so we have:

∠DOE + ∠AOE = 180

<=> ∠AOE = 180  - ∠DOE

<=>  ∠AOE = 180  - 50 = 130 degrees

We choose D

Where is the answer to the expression 4 − 8 located on a horizontal number line? 4 units to the left of 4
4 units to the right of 4
8 units to the left of 4
8 units to the right of 4

I need the answer asap whoever answers first and gets it right gets brainliest

Answers

4 - 8 = -4

A negative number is alwats at the left in a horizontal line.

Let's try to rapresent it.

-4 -3 -2 -1 0 +1 +2 +3 +4

So, you count from +4 to -4

Your answer is "8 units to the left of 4"

The temperature at 9 a.m. is 2 degrees. The temperature rises 3 more degrees by noon. Which expression describes the temperature at noon?
2 + 3
2 + (–3)
–2 + (–3)
–2 + 3

Answers

it starts at 2 degrees which is not a negative number and temperature rises so it isn't a negative number either

 so it would be 2+3

An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is A, 2+3.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given that the temperature at 9 a.m. is 2 degrees. Further, the temperature rises 3 more degrees by noon.

As two whole numbers are added together, the total quantity or sum of those values is obtained. Therefore, the expression that describes the temperature at noon is 2 + 3.

This is because the temperature is positive and after the temperature rises, the temperature will be added.

Hence, the expression that describes the temperature at noon is 2 + 3.

Learn more about Expression:

https://brainly.com/question/13947055

#SPJ6

If f(x)=6x and g(x) = 4x+1, find ( f o g)(x)

Answers

(f○g)(x)=f(g(x))

(f○g)(x)=6(4x+1)

(f○g)(x)=24x+6
The answer would be 24x+6

Solve:

y^6 (y^5)

plz i put eleven idk why se says it's wrong :c

Answers

[tex]y^6(y^5)=y^{6+5}=y^{11}[/tex]

Ralph sold brownies for ​$0.27 a piece in order to earn money to buy baseball cards. If the cards cost ​$0.54 per​ pack, and if Ralph had no money left over after buying​ them, what is the least number of brownies he must have​ sold?

Answers

Ha must have sold at least 2 pieces of brownies.
2 because $0.27 times 2 is $0.54.

Use the law of cosines to find the missing third side

Answers

a^2=b^2+c^2-2bccosA

a^2=7.4^2+15.8^2-2(7.4)(15.8)cos54°

a^2=304.4-233.84cos54°

a=√(304.4-233.84cos54°) units

a≈12.92 units (to the nearest hundredth of a unit)


The missing third side BC is approximately 16.93 units. To use the Law of Cosines to find the missing third side (BC), we'll use the formula:

[tex]c^2 = a^2 + b^2 - 2ab * cos(C)[/tex]

where:

c is the side opposite angle C (BC in this case)

a and b are the known sides (AC and AB, respectively)

C is the angle opposite side c (angle BAC in this case)

Given values:

Angle BAC (C) = 54 degrees

AC (a) = 7.4

AB (b) = 15.8

Now, we can plug the values into the formula and solve for BC (c):

[tex]BC^2 = 7.4^2 + 15.8^2 - 2 * 7.4 * 15.8 * cos(54)[/tex]

To find cos(54), we can use a calculator:

[tex]cos(54 degrees) \approx 0.5878[/tex]

Now, we can continue the calculation:

[tex]BC^2 = 54.76 + 249.64 - 2 * 7.4 * 15.8 * 0.5878\\BC^2 = 54.76 + 249.64 - 17.44\\BC^2 = 286.96[/tex]

Now, find the square root of both sides to get the value of BC:

[tex]BC = \sqrt{286.96} \\BC \approx 16.93[/tex]

So, the missing third side BC is approximately 16.93 units.

To know more about Cosines:

https://brainly.com/question/34375338

#SPJ2

need help, thank you!

2x+3y=5x−y

y=0

x=?

Answers

2x + 3y = 5x - y
2x -5x = -y - 3y
-3x =-4y
X=4\3 y

Answer:

X=4\3

Step-by-step explanation:


Evaluate the expression : (0.4)^3=

Answers

.064 is the evaluation for (0.4)^3

The expression when evaluated, can be found to be 0. 064.

How to evaluate the expression ?

( 0 . 4 ) ³ means raising the number 0. 4 to the power of 3 , which is the same as multiplying 0. 4 by itself three times. This is how the expression is evaluated.

Start with:

0 . 4 * 0 . 4 * 0 . 4

Calculate each multiplication step:

1st multiplication: 0 . 4 * 0 . 4 = 0 . 16

2nd multiplication: 0 . 16 * 0 . 4 = 0 . 064

So, when you multiply 0. 4 by itself three times ( 0 . 4  * 0 . 4 * 0 . 4), you get the result of 0 . 064.

Find out more on expression at https://brainly.com/question/4344214

#SPJ3

Daisy works at an ice-cream parlor. She is paid $10 per hour for the first 8 hours. She works for x hours in a day and x is greater than 8, the expression giving her net earnings for the day is
A. x(80+1.5)
B. (x-8)1.5
C. 80+15 (x-8)
D. (8)(15)(x-8)

Answers

Some information is missing. The logical assumption is that you forgot to write that the rate for the hours worked over 8 hours is 50% more than the regular rate or, what is the same 1.5 times.

With that this is the solution step by step:

1) Number of  hours worked: x

2) Rate for the first 8 hours: $10 per hour

2) Pay for the first 8 hours = $10 * 8 = $80

3) Number of hours worked over 8 hours = x - 8

4) Rate for the hours worked over 8: 1.5 times $10 per hour = $15 per hour

5) Pay for the hours worked over 8 = $15 (x - 8) = 15 (x - 8)

6) Total pay = 80 + 15 (x - 8)

That is the option C.

Answer: option C. 80 + 15(x - 8)

the answer is option C

find the area of the circle with diameter of 11mm leaving answer in terms of pi

Answers

area=πr^2
r=d/2=11/2=5.5
area=π*30.25=30.25π

Find the height of a triangle with an area (A) of 35 square inches and base (b) of 7 inches. Use the formula for the area of a triangle, A=1/2bh

Answers

A=bh/2 

2A=bh

h=2A/b, we are given that A=35 in^2 and b=7 in

h=2(35)/7

h=10 in

Height of the triangle is 10 inches

What is Triangle ?

A triangle is a polygon with three edges and three vertices.

What is Area?

Area is the quantity that expresses the extent of a region on the plane or on a curved surface.

Given,

Area of the triangle = 35 square inches

Base of the triangle = 7  inches

Area of the triangle = [tex]\frac{1}{2}bh[/tex]

where,

b is the base length and h is the height

Substitute the values in the equation

[tex]35=\frac{1}{2}(7)(h)\\ 35=3.5h\\h=\frac{35}{3.5}[/tex]

Height h = 10 inches

Hence, the height of the triangle is 10 inches

Learn more about triangle and area here

https://brainly.com/question/19305981

#SPJ2


help someone plz

A student needs to make a rectangular cardboard piece that is 12 inches long. The area of the cardboard piece should be between 60 square inches to 300 square inches. The function f(w) relates the area of the cardboard, in square inches, to the width w in inches. Which of the following shows a reasonable domain for f(w)?

A: 2 ≤ w ≤ 5

B: 5 ≤ w ≤ 25

C: 25 ≤ w ≤ 60

D: 60 ≤ w ≤ 300

Answers

area = L x w

60 = 12 x w

w=60/12 = 5

300 = 12 x w

w = 300/12 = 25

so B is the correct answer

Answer:

Option B

[tex]5 \leq w \leq 25[/tex]

Step-by-step explanation:

Let

L------> the long of the cardboard piece

W-----> the width of the cardboard piece

The area of cardboard piece is equal to

[tex]A=L*W[/tex]

In this problem we have

[tex]L=12\ in[/tex]

so

[tex]A=12W[/tex]

[tex]f(W)=12W[/tex]------> equation A

[tex]f(W)\geq 60\ in^{2}[/tex] ------> inequality B

[tex]f(W)\leq 300\ in^{2}[/tex] ------> inequality C

Substitute equation A in the inequality B

[tex]12W\geq 60\ in^{2}[/tex]

[tex]W\geq 60/12[/tex]

[tex]W\geq 5\ in[/tex]

Substitute equation A in the inequality C

[tex]12W\leq 300\ in^{2}[/tex]

[tex]1W\leq 300/12[/tex]

[tex]1W\leq 25\ in[/tex]

The domain for the function f(W) is equal to the interval------> [tex][5,25][/tex]

The dot plot below shows the hourly rate of some babysitters in a city: A number line is shown from 1 dollar to 7 dollars in increments of 1 dollar for each tick mark. The horizontal axis label is Dollar per hour. There are 2 dots above 4 dollars, 3 dots above 5 dollars, 3 dots above 6 dollars, and 2 dots above 7 dollars. The title of the line plot is Babysitting Rates. Which statement best describes the shape of the data? It is symmetric and has no gaps. It is not symmetric and has a peak at $7.00. It is a cluster from $1.00 to $7.00 and has no gaps. It is a cluster from $1.00 to $7.00 and has a peak at $6.00.

Answers

A dot plot is like a histogram but it uses dots instead of bars. Like histogram, a dot plot also presents the frequency of data points. The dot plot as described by the problem is shown in the picture. A bell shape is drawn for a symmetrical data. From the choices, the answer is: It is symmetric and has no gaps. The other statements are wrong because the peak is at $5 or $6.

Answer:

D

Step-by-step explanation:

it did this test

Please help :) :) :)

Answers

A motorboat travels 222 km in 6 hours going upstream.
Rate = distance/time = 222/6 = 37 km/hr
----------------------
It travels 390 km going downstream in the same amount of time.
Rate = distance/time = 390/6 = 65 km/hr
---------
What is the rate of the boat in still water and what is the rate of the current?
Equations:
Upstream: b-c = 37 km/hr
Downstrm: b+c = 65 km/hr

Add and solve for "b":
(2)b = 102 km/hr
b = 51 km/hr (speed of the boat in still water)
-----
Solve for "c":
b+c = 65
51 + c = 65
c = 14 km/hr (speed of the current)


If matrix A has dimensions 3 x 2 and matrix B has dimensions 3 x 2, can matrix A and matrix B be multiplied?

Answers

Matrix A has 3 rows, 2 columns
Matrix B has 3 rows, 2 columns

The number of columns in matrix A (which is 2) does not match up with the number of rows in matrix B (which is 3). 

So the matrix multiplication A*B is undefined. We cannot multiply the matrices.

Answer:

we can not multiply matrix A and B.

Step-by-step explanation:

We have been given that

dimension of matrix A = 3 x 2

dimension of matrix B = 3 x 2

Rule of multiplying two matrices:

Two matrix can be multiplied if the column of first matrix is equal to the row of second matrix.

column of first matrix = row of second matrix

Here, we have

Column of first matrix A = 2

Row of second matrix b = 3

Since,, column of matrix A ≠ Row of matrix B

Hence, we can not multiply matrix A and B.

A baseball was pitched at a speed of 75.2 miles per hour. a tennis ball was served at a speed 1.5 times faster than this. how much faster was the speed of the tennis ball than the speed of the baseball?

Answers

75.2*1.5=112.8
112.8+75.2=188
188-75.2=112.8

Answer:

75.2*1.5=112.8

112.8+75.2=188

188-75.2=112.8

25/150 in simplest form

Answers

The answer i came up with was 1/6
The GCF between 25 and 150 is 25.
Divide bothe the numerator and denominator by 25 to get the simplest form.
25/25=1
150/25=6
Final answer: 1/6
Other Questions
Which of the following is not a correct chemical equation for a double replacement reaction? 2 HNO3 + Mg(OH)2 yields 2 H2O + Mg(NO3)2 H3PO4 + 3 NaF yields 3 HF + Na3PO4 2 KNO2 + BaSO4 yields K2SO4 + Ba(NO2)2 Ca + 2H2O yields Ca(OH)2 + H2 Our football coach gathered us together and told us to run laps, and then he made us lift weights, and then he said we had to scrimmage. which revision corrects the faulty coordination in the sentence? People who are placed in psychiatric institutions because they show abnormal behaviors and are deemed to be a threat to themselves or others are committed through a process of ______ commitment. Why is the word translation used for protein production? What does the middle slit represent? What occurs in the region? Hemingway most likely wrote this story ______________________. a. based on his own experiences c. to console a friends lost love b. to honor small mill towns The General Diploma program is intended for students who: A. wish to continue their education at a two-year community college B. wish to continue their education at a technical school. C. wish to continue their education at a four-year university. D. either A or B Reset Selection genital human papillomavirus is the most common sexually transmitted infection. What, if any, treatment options exist for HPV, and what are the risk and complications of this type of infection The wildflowers at a national park have been decreasing in numbers. There were 300 wildflowers in the first year that the park started tracking them. Since then, there have been one fourth as many new flowers each year. Create the sigma notation showing the infinite growth of the wildflowers and find the sum, if possible.I chose C, but can someone check for me? Thanks :) Explain why you would want to keep some, but not all, receipts as part of your financial records. Changes in the density of the white matter in the corpus callosum may also underlie the advances seen in _____ during late childhood. What is the simplified form of the quantity of x plus 5, all over the quantity of 9 the quantity of x plus 4, all over the quantity of x plus 6 A nurse is providing community education regarding risk factors for ovarian cancer. identify five (5) risk factors associated with the development of ovarian cancer. (review the med surg rm) The volume of a prism is the product of its height and area of its base, V = Bh. A rectangular prism has a volume of 16y4 + 16y3 + 48y2 cubic units. Which could be the base area and height of the prism? a base area of 4y square units and height of 4y2 + 4y + 12 units a base area of 8y2 square units and height of y2 + 2y + 4 units a base area of 12y square units and height of 4y2 + 4y + 36 units a base area of 16y2 square units and height of y2 + y + 3 units Fathi wants to print out a PDF document that is 48 pages long. To save paper, he decides to print on both sides of each sheet and to print two pages on each side of the sheet. Explain how complex fractions can be used to solve problems involving ratios Given A = {a, e, i, o, u} and B = {a, l, g, e, b, r}, find A B.(A ) - {}(B) - {a,e}(C ) - {a, b, e, g, i, l, o, r, u} PLEASE HELP WITH MATH VOCAB THX!! _______ is a condition that is characterized as long, narrow trunk, short limbs, and a large head. down syndrome turner syndrome jacob's syndrome achondroplastic dwarfism What is important to remember when grouping ideas into an outline Steam Workshop Downloader