Mathematics College

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

12(x+1/6)=8 solve for x

Answers

X = 1/2 or X = 0.5.
The value of x is 1/2
Working shown below:

Three decimals between 8.6 and 9.2?

Answers

Answer:

8.7, 8.9, 9.0

Step-by-step explanation:

Answer:

8.7, 8.9, & 9.1

Step-by-step explanation:

The decimal places go up by tens like all other numbers. Therefore, 8.7, 8.9, and 9.1 are all in between 8.6 and 9.2

Help me.. People who are just trying to get points by just spamming peoples questions, will be reported

Answers

Answer:

I'd say half

Step-by-step explanation:

Convert 205% to a decimal

Answers

Answer:

2.05

Step-by-step explanation:

Divide 205 by 100

Please help me with this. I give brainliest and give ratings. Don't answer just to take my points or you're getting reported

Answers

Answer:

3/4

Step-by-step explanation:

You have to Subtract 6 ¼ by 5 ½

10 Determine the area of the figure. 9 cm 6 cm 12 cm​

Answers

Answer:

Area= 648

Step-by-step explanation:

Area formula: L times W times H

9 times 6 times 12        :)

When the length, width, and the height is given so the area of the figure is considered to be 648.

Calculation of an area:

Since the length is 9cm

The width be 6 cm

And, the height is 12 cm

So, the area be like

= (9) (6) (12)

= 648

Hence, When the length, width, and the height is given so the area of the figure is considered to be 648.

Learn more about an area here: https://brainly.com/question/20882229

Carrie is 36 years old. She has worked in the same store for 12 years. Today, she had 63 customers. How old was Carrie when she began working in the store?
A. 24
B. 27
C. 48
D. 51

Answers

Answer:

A. 24

Step-by-step explanation:

A. 24
36-12=24
This is the final answer for this question.

Percent of change
Find the Percent of decrease for the following problems:
1. Chad played three hours of Pokémon Go per day during the summer. Since
school began, he is only allowed to play one hour per day.
2. Karen has 7 Eevees in her Pokémon stash. She transferred some in to the
Professor and now only has 2 Eevees.
3. It takes 200 coins to get a bag upgrade in Pokémon Go. The creators
decided to throw a sale on bag upgrades. For one day only, anybody can
upgrade their bag for 125 coins.

Answers

Answer:

1. 33%

2. 28

3. 62.5

Step-by-step explanation:

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Answers

Answer:

x= -1/3

y= -3 1/3

Step-by-step explanation:

Make both of them into y=Mx+b form

y=-x-3

y=(-x-7)/2

Substitute the x-3 in the first equation for the y in the second one.

x-3=(-x-7)/2

2x-6=-x-7

3x=-1

x=-1/3

Now that we have x, we can solve for y.

y=-x-3

y=-1/3-3

y=-3 1/3

Answer: x=6

Step-by-step explanation:

Write the equation 12 = -3x + 6 in the form ax + b = c, with c = 12. What are the values of a and b?

Answers

sorry I don't know Ab = cd and bc = ad

Using SAS postulate triangles formed by ABC = abd

Opposite sides are equal and each angle is 90 degrees so by definition it is a rectangle.Ab = cd and bc = ad

Using SAS postulate triangles formed by ABC = abd

Opposite sides are equal and each angle is 90 degrees so by definition it is a rectangle.

Answer:

I think the answer is .

Step-by-step explanation:

C= 12

Hope this helps

The next day the gas tank in dad’s car holds 24 gallons. The gas tank in mom’s truck holds 50% less than that. How much gas does the truck’s tank hold?

Answers

24 gallons * 50%

24 gallons * .5

=12

24-12

= 12

thy answer is 12 .

Answer:

Mom's truck would hold 12 gallons.

Step-by-step explanation:

If you take 24 and divide it into 2 parts you would get your answer because 50% would be half of the whole number of that makes any sense

Find the value of x so that the ratios are equivalent.
3:x and 12:40
X=
help pls

Answers

Answer:

10

Step-by-step explanation:

Divide both sides by 4

I want to know if I’m right?

Answers

Answer:

Yes because length  x with x height, which equals 90

Step-by-step explanation:

Which of the following is equal to 4.8 ÷ 2?

Answers

DIVISION

Let's divide:

4.8 ÷ 2 = 2.4

Another option:

Shift the decimal point one space for both:

4.8  →  48

2.0  →  20

Now we can divide easily:

48 ÷ 20 = 2.4

It will give the same result.

‎      ‏‏‎

Answer. 2.4

In simplest form what is 2/7 + 2/5

Answers

24/35.................

given y= 1/3x+5, find y when x = -3

Answers

answer: y = 4

explanation:
y = 1/3(-3) + 5
y = (-3)/3 + 5
y = -1 + 5
y = 4

Hi! My teacher shows us a video and thats it, so I'm really struggling on our math test today. Can you help me answer this question? Thank you :)

Answers

Answer:

A and E

Step-by-step explanation:

For the requirements of a report Suzy has to write for school, she has a choice of wide-rule or narrow-rule paper and three different pen colors in which to write the report. How many different possibilities does Suzy have to write the report? Enter a numerical answer only.

Answers

Answer:

6

Step-by-step explanation:

You first have to choose from Wide and Narrow.

Let's call them W and N

Then you have to choose 3 different pen colors.

Let call them, 1, 2, 3

So There are two choices from W and N.

Then we pick the number: 1, 2, 3.

so If you pick W, you will have 3 choices. Same for N.

So in total: 6 choices.

W= 3 choices, W1, W2, W3

N= 3 choices, N1, N2, N3

so 6 in total.

which graph represents exponential decay​

Answers

The top one. Exponential decay means going down very quickly, like a steep line.

Exponential growth is going up, by the way.

What is the y intercept of the line?

4


-1


3


-2

Answers

Answer:-2 because the y intercept is when the x axis is zero

Step-by-step explanation:

Find the measure of angle4

A.113
B. 33.5
C.67

Answers

Answer:

B

Step-by-step explanation:

Took it

find the values of x and y in the diagram

Answers

Answer:

y=2, x=3

Step-by-step explanation:

We can see that because triangle EHF has all 3 of the angles the same, EFH is an equilateral triangle and all of the sides are the same. So, we now know that y+2=4. if we simplify that, we find that y=2. Now, because the angles FHG and angle FGH are the same, triangle FHG is an isosceles triangle, and y+2=x+1. we now know that y+2=4, so x+1=4. simplify and x=3

how many miles per gallon does the car get

Answers

Answer:

25 miles for 1 gallon

Step-by-step explanation:

Looking at the graph, for 1 gallon of gas, is about 25 miles. For 2 gallons, it is 50 miles. For 3 gallons, it is 75 miles. So based on the graph and the pattern, we can assume 1 gallon of gas will take the car 25 miles.

what is 3/4 as a fraction out of 100, a decimal,and a percentage​

Answers

Fraction: 75/100
Decimal 0.75
Percentage: 75%

jtftfjjvvjvghchvjufvyffytrcf
please help quick

Answers

Answer:

The one on the top right

Step-by-step explanation:

It displays 8 steps each with a length of 1/2 to represent 8 x 1/2.

HTH :)

The length of a rectangular frame is 4 inches longer than twice the width. If the perimeter is 38 inches, find the dimensions of the frame.
WILL GIVE WHOEVER ANSWERS BRAINIEST

Answers

Answer:

The width of the rectangle is 20 inches, and the length is 36 inches.

Step-by-step explanation:

2(2x-4) + 2x = 112

4x - 8 + 2x = 112

6x - 8 = 112

6x = 120

x = 20

I hope this helps️️

Rectangle RSTW has diagonals RT and SW that intersect at Z. If RZ=5x+8 and SW=11x−3, find the value of x.(1 point) x=13 x=19 x=116 x=11

Answers

Here’s my answer and the process of how I solved it.

A box contains 48 marbles. Two-thirds of the marbles are red. Three-fourths of the red marbles in the box are red and striped. How many of the marbles in the box are red and have stripes?
A.24 marbles
B.12 marbles
C.32 marbles
D.16 marbles

Answers

Answer:

C

Step-by-step explanation:

Answer: 24

Step-by-step explanation: 24

Simply multiply all of the fractions with the total number of marbles

48(2/3)(3/4)

If this figure is dilated by a scale factor of 3, what would the new coordinates be?

Answers

Answer:

J (-3,3), G (0,3), H (4,9), I (3,3)

Step-by-step explanation:

When your dilating a figuring it either gets larger or smaller. Since this is a positive number, and it is not a fraction then the figure is getting larger. Now you multiply each of the original coordinates by 3 to get the dilated coordinates.

(For learning purposes only)

The following function is probability Distribution function.
F(x)=6x+1/25, x=0, 1, 2, 3, 4.
Determine the mean, μ, and variance, σ2, of the random variable. Round your answers to two decimal places.

Answers

Answer:

9.60 ; - 60.96

Step-by-step explanation:

Given the function :

F(x)=6(x+1) /25, x=0, 1, 2, 3, 4.

x = 0

F(0)=6(0+1)/25 = 6/25 = 0.24

x = 1

F(1)=6(1+1)/25 = 12/25 = 0.48

x = 2

F(2)=6(2+1)/25 = 18/25 = 0.72

x = 3

F(2)=6(3+1)/25 = 24/25 = 0.96

x = 4

F(2)=6(4+1)/25 = 30/25 = 1.2

X ______0 _____ 1 ______ 2 ______ 3 ____ 4

P(x) ___ 0.24 __ 0.48 ___ 0.72 ____ 0.96 __ 1.2

Mean, μ = Σx*p(x) :

(0*0.24) + (1*0.48) + (2*0.72) + (3*0.96) + (4*1.2)

= 9.60

Variance : Σx²*p(x) - μ²

(0^2*0.24) + (1^2*0.48) + (2^2*0.72) + (3^2*0.96) + (4^2*1.2) - 9.6^2

= 31.2 - 92.16

= - 60.96

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