The dimensions of a rectangle are √50a^3b^2 and √200a^3. What is the students error?

The Dimensions Of A Rectangle Are 50a^3b^2 And 200a^3. What Is The Students Error?

Answers

Answer 1

Answer:

The student incorrectly simplified [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] .

Thus, option D is correct.

Step-by-step explanation:

The formula to determine the Perimeter of a rectangle of width w and length l is expressed as:

[tex]P = 2l + 2w[/tex]

In other words, the perimeter can be determined by multiplying the length and width by 2 and adding the result.

In our case, the dimensions of a rectangle are [tex]\sqrt{50a^3b^2}[/tex]  and  [tex]\sqrt{200a^3}\:\:[/tex].

Here is the student's solution:

[tex]2\sqrt{50a^3b^2}+2\sqrt{200a^3}=2\cdot 5ab\sqrt{2a}+2\cdot 10a\sqrt{2a}[/tex]

                                 [tex]=10ab\sqrt{2a}+20a\sqrt{2a}[/tex]

                                 [tex]=30ab\sqrt{2a}[/tex]          

The student made an error in calculating [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] , because [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] are not like terms.

Hence, [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] can not be simplified to [tex]30ab\sqrt{2a}[/tex]

Therefore, the student incorrectly simplified [tex]30ab\sqrt{2a}+20a\sqrt{2a}[/tex] .

Thus, option D is correct.

Here is the correct Solution:

[tex]2\sqrt{50a^3b^2}+2\sqrt{200a^3}=2\cdot 5ab\sqrt{2a}+2\cdot 10a\sqrt{2a}[/tex]

                                 [tex]=10ab\sqrt{2a}+20a\sqrt{2a}[/tex]

Answer 2

Answer:

D. The student incorrectly simplified 10ab sqrt2a+ 20a sqrt2a

Step-by-step explanation:

Just did it.


Related Questions

what does 108 × 1/3 equal?​

Answers

Answer:

It would be 36

Explanation:

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

108/1 ×1/3

Applying the fractions formula for multiplication,

=108×1/1×3 = 108/3

Simplifying 108/3, the answer is

=36

hope it helped. :)

A game is packaged in a box. Each game cube has a side length of 2 inches.
How many games can be packed inside of a box whose dimensions are 1 foot by 1 foot by 2 feet?

3456 games

8 games

432 games

8 cubic inches​

Answers

Answer:

432

Step-by-step explanation:

6 games x 6 games x 12 games = 432 games

On a certain map 4 inches represents 26 miles. What distance does 11 inches represent?

Answers

11 inches represents 71.5 miles

4. A varies directly as r. If A = 12, when r = 2, calculate:
a) the value of A, when r=5

Answers

Answer:

The value of A ,when r=5 then A = 14

A varies directly to r means that A= kr
Substitute the given value : 12 = 2(k) —> k=6
Eqn : A=6r
When r=5,A= 6(5)= 30 thus A= 30

Evaluate p(18,3) probability

Answers

Answer:

what?

Step-by-step explanation:

Pls answer allllll! I really need it

Answers

Answer:

7) I believe it is "The sum of the large rectangle is equal to the sum of the two smaller rectangles. 3 (x + 4)" But I am not sure.

8) Make it shorter and simpler by combining like terms

9) 5x , 2a + 3 + a + 4 , 6 + 2x + x2 + 1 + x

10) ac + bc = (a + b) c

Step-by-step explanation:

Hadley had $25,000 he had lost 30%. what does he have left​

Answers

The answer is $17,500 in US dollars tho hope this helped have a good dayyyy

which has a greater quantity 50% or 30%​

Answers

Answer:

50%

Step-by-step explanation:

50% is half of a quantity, while 30% is less than half.

Answer:

..

50% is greater than 30%

Step-by-step explanation:

ooooo

Help me pls I don’t want to fail math

Answers

Answer: They are proportional.

Explanation: To determine whether a table is proportional just simply notice if there is a number you can get to the next number.

Example: on the x values you multiply from left to right by 2 and get the next number. on the y values you multiply by 1. This table is proportional

Simplify.
289
A)
17
18
C)
19
D)
20
I need help

Answers

Answer:

add my sc = bmic ava, no spaces

or add my discord = XoXo_ava

Step-by-step explanation:

have a good day bro

Thorton's department store has a 30% off sale this week what is the sale price for a pair of $24 jeans

Answers

Answer:

The Sale Price is $16.80 Dollars

Step-by-step explanation:

First I find out what 30% of 24 is.

24 * 30% = 7.2

Next we subtract.

24 - 7.2 = 16.80

So, the answer is 16.80

Hope this helps! :)

plz help me this is 7th grade math

Answers

Answer:

6, 19, 23?  girl im in 7th and i didnt learn this yet

Step-by-step explanation:

If the figure is a regular polygon solve for x 7x + 3

Answers

Answer:

The answer is 7 x + 3 =24 because its a problem solving

The requried simplified value of the 12 sided-polygon is given as 21.

What is a polygon?

Polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,

Examples of polygons, equilateral triangles, squares, pentagons, etc

Here,
The polygon given has 12 sides,
The angle of the polygon is given as,
7x + 3 = (n - 2) × 180/n
7x + 3 = (12 - 2) × 180/12

7x + 3 = 10×15
7x = 150 - 3
x = 147/7
x = 21

Thus, the requried simplified value of the 12 sided-polygon is given as 21.

Learn more about polygon here:

https://brainly.com/question/24464711
#SPJ5

The following are the last 10 run scores Colin got in cricket:
23, 20, 4, 19, 28, 35, 25, 0, 1, 30
a) Work out Colin's mean score.
b) Colin plays cricket again on Sunday. He gets 35 runs.
What is his new mean score?

Answers

Answer:

a)18.8

Step-by-step explanation:

Basically, you have to add all the numbers from the data set (188) then divide them by 10 and that equals 18.8

The second part you have to add 32 to 188 ( which equals 210) and that by 11 which equals 20

What is the total area? Use 3 for Pi.
Answer fast pls!! xx

Answers

To find out area of circle bit u do (pi x r^2) /4

(3 x 6^2)/4
(3x 36) / 4
108/4 = 27

So area of circle bit is 27

For square you do:
6x6 = 36

ANSWER:

36+27 = 63

The answer is 63m^3
The answer is 63 because when you do the area of each shape and add them you get 63.

James bought a television that was on sale for 3/4 of the original price, the original price was 749.99 what was the sale price in dollars of the tv round your answer to the nearest cent

Answers

Answer:
3/4 x 749.99 ( 750 ) = 562 1/2
562 1/2 = 562.5
Nearest cent 562.10 = 563

What is the slope of the line: Y= -5x subtract 15?

Answers

Answer:-5

Step-by-step explanation:

m is considered the slope

y=mx-15

And in this situation m=-5

So slope = -5

According to the graph, what is the experimental probability of selecting the letter C?

Number of occurrences of letters


16.7%


24%


16%


20%

Answers

Answer:

16%

Step-by-step explanation:

50 events and C shows 8

50/8 = 16%

Answer:

The Answer is 0.16 = 16%

The length l of a 200-square-foot rectangular vegetable garden is 4 feet less than twice the width w. Find the length and width of the garden.

Answers

Answer:

L=18.1, W=11.0

Step-by-step explanation:

A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.

Which one is it??

Answers

Black F 19. I HOOKUP ! $100 & less. Deposit required . I CAN VERIFY

solve x^2-3x+1=0 using completing the square method​

Answers

This won't be the easiest way to do this problem but as your teacher requires it I will do it that way. But at the end I will show another way to do it with the quadratic formula.

First complete the square

x^2-3x+1=0

(x^2-3x+9/4)+1=9/4

(x-3/2)^2=9/4-1

(x-3/2)^2=5/4

x-3/2=±[tex]\sqrt{\frac{5}{4}[/tex]

x= 3/2±[tex]\frac{\sqrt5}{2}[/tex]

Done!

*Now this next way is not the way your teacher wants you to do it but I personally think its easier.

Just use the quadratic formula x=[-b±sqrt(b^2-4ac)]/2

x=[3±sqrt(9-4*1*1)]/2

x=(3±sqrt5)/2

x=3/2±sqrt5/2

We get the same answer but I think this way is easier. Now if your teacher ask for the top way just do the top way don't do the bottom because you will lose points, its just a shorter way to do things. Now I hope this helped and any additional questions about this just ask me in the comments.

Solve the equation: 3x - 2/4 = 2x – 8 Explain your reasoning / show work:​

Answers

X= -15/2
Reduce the fraction
Move terms
Collect like terms and calculate
X=-15/2 is the answer

Seven more than two times a certain number is 181. Find the number

Answers

Answer:

87

Step-by-step explanation:

181-7=174

174/2=87

HELP ME PLEASE The roots of a quadratic equation can be found using the graph what are the roots of these equations?

Answers

Answer:
(-1,4)
Explanation:
On the left if you estimate it brings to a -1 and on the right if you count boxes bring to a 4
Hope its correct

Answer:

the roots of this quadratic expression are: x = -1 and x = 4

Step-by-step explanation:

You need to find at which x-values the graph crosses the x-axis (this is when y = 0, and therefore the roots of the quadratic equation represented via the graph).

In our case notice that the graph crosses the x-axis at the points:

x = -1 (on the left), and x = 4  (on the right)

Therefore the roots of this quadratic expression are: x = -1 and x = 4.

Solve the formula for the specified variable.
I = Prt
P=

Answers

to isolate variable P, you would divide rt on both sides, leaving you with I/rt=P

Step-by-step explanation:

I= PRTP=I/RT

................

What does circumference mean?


Distance around a circle


Space a circle takes up


Line from one side of a circle to another


Line from center of circle to side

Answers

Answer: Distance around a circle
are you in college?

I need help with math problem: 5(2x+6)

Answers

Hey there!

5(2x + 6)

= 5(2x) + 5(6)

= 10x + 30

Answer: 10x + 30 ☑️

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

10x + 30

Step-by-step explanation:

When there is a number before parenthesis it means we have to multiply, so we will apply the distribution property.

5(2x) + 5(6)

Then we just multiply

10x + 30

Because we do not know the value of "x" we will leave it like this.

Hope it was helpful ;)

Determine which of the following words best describes the underlined word(s) in the context.
The President of a mobile phone manufacturer wants to know what color mobile phone users prefer. The company sells mobile phones throughout the world. There are 5.16 billion unique mobile phone users in the world. A Statistician for the manufacturer conducts a random sample of 1,000 mobile phone users throughout the world and from the sample determines that 23.6% prefer white and 34.6% black.
variable, population, statistic, sample, data, parameter

Answers

Answer:

Population - All 5.16 billion mobile phone users

Sample - subset of 1000 chosen from 5.16 billion

Variable - white and black mobile preference

Parameter - statistical characteristics of the population

Statistic - statistical characteristic of the sample ; 23.6% white preference ; 34.6 black preference

Data - facts and figures gathered for the study

Step-by-step explanation:

The population is the total observations who fit into a certain area of interest.

Sample refers to subset of the population which is meant to be representative of the larger population.

Variable refer to groups of characteristics with relates to observations within a dataset.

Parameter - statistical characteristics of the population

Statistic - statistical characteristic of the sample

Data - facts and figures gathered for the study

Oliver said, "To the nearest hundred, I’ve attended drama club for 900 days of my life!” Write three numbers that could be the actual number of days Oliver has attended drama club.

A. 743, 970, 933

B. 870, 933, 780,

C. 780, 849, 761,

D. 867, 870, 933

Answers

the answer is D dnsgkstbranat

PLS HELP I’LL MARK BRAINLIEST!!! ALSO THE ANSWER IS NOT 118!

Answers

Answer:

B. 128

Step-by-step explanation:

so the sum of the interior angle is 180

180 - 76 is 104

since both sides are the same divide 104 with 2 to get 52

to find x = 180 - 52 = 128

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