The rectangle below has an area of 30k3 + 6k2.
The width of the rectangle is equal to the greatest common
monomial factor of 30k3 and 6k2.
What is the length and width of the rectangle?

Answers

Answer 1

9514 1404 393

Answer:

length: (5k +1)width: 6k^2

Step-by-step explanation:

The GCF of the two terms is the second term: 6k^2. When that is factored out, you have ...

  area = (6k^2)(5k +1)

According to the problem statement, this is interpreted as ...

  width: 6k^2

  length: 5k+1


Related Questions

Mrs. Woodworth brought 50 pies to a bake sale. She sold 42 of them and donated the rest to a local food shelter. What percent of the pies did she sell?​

Answers

Answer:

the percent of the pies did she sell is 84%

Step-by-step explanation:

The computation of the percent of the pies did she sell is as follow;

= Number of pies sold ÷ total number of pies purchased

= 42 ÷ 50

= 84%

Hence, the percent of the pies did she sell is 84%

We simply divided by the number of pies sold from the total number of pies purchased so that the selling percentage could come


A store pays $119 for a scooter. The store marks up the price by 40%.
What is the new price (nearest penny)?

Answers

Answer:

Step-by-step explanation:

if the store marks up the price by 40%

119*(40/100)=47.60

119+47.60=166.60

Can some help thx.

Eva has x dimes and y quarters. She has at most 18 coins worth a minimum
of $3 combined. Solve this system of inequalities graphically and determine
one possible solution.

Answers

Answer: Eva could have 6 dimes and 10 quarters.

y≤18−x

y≥12− 2/5x

Step-by-step explanation:

x+y≤18

0.10x+0.25y≥3

Find the slope of each line.

Answers

Answer:

D

Step-by-step explanation:

I need help with this problem, you don't have to tell me the answer as long as you can explain to me how to do it :)

Answers

Answer:

1.7miles

Step-by-step explanation:

You have to multiply 14 by 3 and divide 14 by 8

Something like this

14x3/8

which would give you around 1,7miles

The length of a rectangle is 7.8 cm more than 4 times the width. If the perimeter of the rectangle is 94.6 cm, what
are its dimensions?
Select one:
O a. length = 23.8 cm; width = 15.7 cm
O b. length = 39.4 cm; width = 15.7 cm
O c. length = 39.4 cm; width = 7.9 cm
O d. length = 7.9 cm; width = 39.4 cm

Answers

Answer:

C, Length = 39.4 cm; width = 7.9 cm

Step-by-step explanation:

The permimeter of a rectangle is 2 times the width + 2 times the length or 2(l + w)

The length is 4 times w plus 7.8.

So:  2w+2(4w+7.8)=94.6

=  2w+8w+15.6=94.6  (Factor out the brackets)

=  10w+15.6=94.6  (Combine like terms)

=  10w=79  (Subtract 15.6 from both sides)

=  w=7.9  (Divide both by 10).

So, the width is 7.9 cm and the length is 39.4 cm (4 * 7.9 + 7.8)

Yea it’s c I agree with first answer

If I triple ____ and divide the result by 6,the quotient is 18
options
32
36
63
64

Answers

Answer:36

Step-by-step explanation: i did the math

The answer is 36 because you just simple reverse the equation3y/6=18 which is 18x6/3=y 18x6=108 108/3=36

In 2013 Skittles changed the flavor of green from lime to sour apple (big mistake!!). Mrs. Rowland takes a small handful of 5 Skittles from a bin of 10,000 Skittles and gets ALL GREEN (terrible)! If 20% of the Skittles are green, what is the probability of this happening

Answers

Answer:

0.032% probability of this happening

Step-by-step explanation:

Since the distribution is very large(10,000 skittles), and there are only two possible outcomes(either the Skittles is green or it is not) we can use the binomial probability distribution as an approximation.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Handful of 5 skittles:

This means that [tex]n = 5[/tex]

20% of the Skittles are green

This means that [tex]p = 0.2[/tex]

What is the probability of this happening?

Probability of all skittles being green, so [tex]P(X = 5)[/tex].

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{5,5}.(0.2)^{5}.(0.8)^{0} = 0.00032[/tex]

0.032% probability of this happening

URGENT PLEASE HELP 30-60-90 DUE TODAY PLEASE HELP IMPORTANT MATH

Answers

Answer:

Step-by-step explanation:tha answer is -120

Question 11 (1 point)
Use the following data to solve the problem.
Corn Field = 400 feet by 60 feet
Wheat Field = 700 feet by 200 feet
Barley Field = 200 feet by 200 feet
What is the area of the corn field?
Use square feet as your label and put a space between the number and
the label. Be sure to include a comma in your answer.
Blank 1:

Answers

the area of a shape is given by: length*width

400*60 is 24000

So, 24000f feet^2 is the area

Solve the inequality.
140 < -20j

Answers

Answer:

              J < -7

Explantion:

Rewrite so J is on the left side

                  -20j > 140

               Divide each term by -20 and simplify

                   j < -7          

help pls due today pls

Answers

Answer:

6.5y + 10

Step-by-step explanation:

Combine like terms:

0.5y + 6.5y - 0.5y + 10.5 - 0.5

= 6.5y + 10

Answer:

Step-by-step explanation:

0.5y+10.5+6.5y-0.5-0.5y=

6.5y+10

PLSSSS HELLPPPP MEEEEE I WILLL GIVEEE BRAINLIESSSTTT!!!!

Answers

Answer:

[tex]\displaystyle m=3[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (6, 8)

Point (5, 5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [SF]:                     [tex]\displaystyle m=\frac{5-8}{5-6}[/tex][Fraction] Subtract:                              [tex]\displaystyle m=\frac{-3}{-1}[/tex][Fraction] Divide:                                 [tex]\displaystyle m=3[/tex]

Answer:

3

Step-by-step explanation:

-3/-1 = 3

the slope of a line passing through (6,8) and (5,5) is 3.

Mary is paid $600 for 5 days of work. How much is she paid per day

Answers

Answer:

$120

Step-by-step explanation:

John read 1/3 of his book on the first day and 1/4 of the book on the second day. What fraction of the book does John have left to read?

Answers

Answer:

5/12

Step-by-step explanation:

The whole book is 1.

So This will be your equation.

1/3 + 1/4 = 1

4/12 +3/12 = 1

7/12 = 1

Now you minus 7/12 from 1

1-7/12 is how much is left

12/12-7/12= 5/12

The fraction that represents the book john has left to read is 5/12.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is that John read 1/3 of his book on the first day and 1/4 of the book on the second day.

Assume that the fraction that represents the book john has left to read is [x/y]. Then, we can write -

1/3 + 1/4 + x/y = 1

x/y = 1 - 7/12

x/y = 5/12

Therefore, the fraction that represents the book john has left to read is 5/12.

To solve more questions on Equation Modelling, visit the link below -

brainly.com/question/14441381

#SPJ2

> Find the slope of the line passing through the points (-3, -8) and (5.6).

Answers

Answer:

y=1.75x-2.75 slope would be 1.75

Step-by-step explanation:

Use a Regression Calculator

Enter the correct answer in the box.
Consider this expression.
I2+ i - 72
Replace the values of a and b to rewrite the glven expression.

(x + a)(x+b)

Answers

Answer:

(x-4.72)(x+5.72)

Step-by-step explanation:

I2+ i - 72

is it i^2+i-72?

(x-4.72)(x+5.72)

What decimal represents 1/4

Answers

0.25 is the decimal that represents 1/4

the observations 7,15,x-1,x+1,24,28 have been arranged in ascending order. if the median of the data is 21. find the value of X.​

Answers

Answer:

x = 21

Step-by-step explanation:

The following data were obtained from the question:

Set of data => 7, 15, x–1, x+1, 24, 28

Median = 21

x =?

Median is simply defined as the middle term of a given data arranged either in ascending or descending order.

Next, we shall determine the median of the set of data. This can be obtained as follow:

7, 15, x–1, x+1, 24, 28

Median = [(x–1) + (x+1)]/ 2

Finally, we shall determine the value of x as follow:

Median = [(x-1) + (x+1)]/ 2

Median = 21

21 = [(x-1) + (x+1)]/ 2

21 = [x – 1 + x + 1] /2

21 = [x + x – 1 + 1] /2

21 = 2x / 2

21 = x

Thus, x is 21

****Check****

Median = 21

x = 21

Median = [(x–1) + (x+1)] / 2

21 = [(21 – 1) + (21 + 1)] / 2

21 = [20 + 22] / 2

21 = 42/2

21 = 21

PLS HELP WILL MARK BRAINIEST

Determine which car gets the better gas mileage (picture below)

Answers

Answer:

Car A

Step-by-step explanation:

All you have to do is find the rate of change

Distance            Gallons

300                     8

320                    10

Car A

300 : 8

37.5 : 1

Car B

320: 10

32  :   1

37.5 > 32

So Car A gets the better gas mileage.

Hope this helped!

Find the slope of the line.
у
3
|(2, 1.5)
N
1
1
-4-3-2
1 2 x
-2
(-4, -3)

Answers

Answer: m = 0.75

Step-by-step:

In Roman Numerals, a bar means to multiply that number by 1000. What is 99 004 in roman numerals?

Answers

I’m pretty sure it’s XCIX IV I hope this helped

What is 30 ÷ 14 written as a fraction?

Answers

Answer: A fraction is Quite literally division so 30 divided by 14 is 30/14 as a fraction, you can also simplify that to 15/7

The value of the expression is 15/7.

What is division?

Division is the process of dividing a number by a given number.

The given expression is 30 ÷ 14.

Solve the expression as follows:

30 ÷ 14

= 30/14

= 15/7

Hence, the value of the expression is 15/7.

To learn more about division, click here:

https://brainly.com/question/10571790

#SPJ2

At the store for every 2 movies sold there 8 books sold. What is the radio of books sold to movies sold?

Answers

Answer:

The ratio of books sold to movies sold at the store is 4:1.

Step-by-step explanation:

Given that:

Number of movies sold at the store = 2 movies

Number of books sold at the store =  8 books

Ratio of books sold to movies sold at the store is

Books sold : Movies sold

8 : 2

[tex]\frac{8}{2}:\frac{2}{2}[/tex]

4 : 1

Hence,

The ratio of books sold to movies sold at the store is 4:1.

Fill in the blanks of the equation from the
given information.
The slope of the line is -3 and
goes through the point (13, 4).

Answers

Answer:

We conclude that the line of equation containing the point (13, 4)  with the slope m =-3 will be:

[tex]y=-3x+43[/tex]

The graph of the line is also attached.

Step-by-step explanation:

Given

The slope of the line = m = -3The point = (13, 4)

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where

m is the slope of the line(x₁, y₁) is the point

substituting the values m = -3 and the point (13, 4)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - 4 = -3(x-13)[/tex]

Add 4 to both sides

[tex]y-4+4=-3\left(x-13\right)+4[/tex]

Simplify

[tex]y=-3x+43[/tex]

Therefore, we conclude that the line of equation containing the point (13, 4)  with the slope m =-3 will be:

[tex]y=-3x+43[/tex]

The graph of the line is also attached.

does anyone know this i will give brainliest

Answers

Answer: 1/4 is the answer I was given in my work.

Step-by-step explanation:

Please help me asap thank you!

Answers

Answer:

6 and 7

Step-by-step explanation:

--_45"gfsu. tc. jkk

Answer:

6x-7

Step-by-step explanation:

1/3x12x=4x

1/3x6x=2x

1/3x21=7

4x+2x=6x

- A bakery received 2 shipments of
sugar, each weighing 22.56 pounds.
If the manager divided all the sugar
equally among 24 canisters, how
many pounds of sugar did the
manager put in each one?

Answers

Answer:

1.88 pounds

Step-by-step explanation:

First, find the total amount of sugar, since there were 2 shipments

22.56(2)

= 45.12

Then, divide this by 24:

45.12/24

= 1.88

So, each canister had 1.88 pounds of sugar

Helppp this is timed!!

Answers

Answer:

The answer must be D

Step-by-step explanation:

When a shape like a trapezoid is rotated, the figure will remain the same which means that a rotation will not change the measure of the angles, or the measure of the sides, therefore d must be correct because a rotation is a rigid transformation.

Find the x- and y-intercepts of the equation x – 5y = –15. Question 16 options: A) x-intercept: (0,3), y-intercept: (–15,0) B) x-intercept: (0,–15), y-intercept: (3,0) C) x-intercept: (–15,0), y-intercept: (0,3) D) x-intercept: (3,0), y-intercept: (0,–15)

Answers

answer:c)x-intercept:(-15,0) and y-intercept(0,3)

Step-by-step explanation:

x -5y= -15

x = -15

(-15,0)

y = -15 / -5

=3

(0,3)

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