A teacher writes the expression 3 (6m + 3) and asks for students to write equivalent expressions. The table shows the students' responses.
Student
1
2
3
4
Response
9m + 6
18m + 3
18m + 9
21m
Select the best answer from the choices below:
Student 1 is correct because distributing the 3 in the teacher's expression yields Om + 6
Student 2 is correct because distributing the 3 in the teacher's expression yields 18m + 3
Student 3 is correct because distributing the 3 in the teacher's expression yields 18m + 9
Student 4 is correct because distributing the 3 in the teacher's expression, and then adding the two terms together yields 21m

Answers

Answer 1
Student 3 is correct. This is because you can distribute 3. You would do 3x6m, or 18m, and you can do 3x3, or 9. This means that Student 3 is correct. Since m is not defined as an integer, it can’t be any of the other choices.
Answer 2
Student 3 is correct because distributing the 3 in the teacher's expression yields 18m+9. Basically, everything in the parentheses was equally multiplied by 3, and you cankt add a variable and a number without one together, so it is the final and correct answer.

Related Questions

Diane flipped a coin 600 times and it landed heads up 240 times. What is the relative frequency of the coin landing heads up based on the results of this experiment?

4%
6%
40%
60%

Answers

Answer:

40%

Step-by-step explanation:

Flips 600 times, that's the total flips. ###/600

Heads flipped 240 times, and that's what you're looking for. 240/600

240/600 simplified is 2/5 (0.4)

You're looking for a frequency/percentage so you're looking at the decimal

Decimal number = Percentage

So it'll be 40%

Please I need help with this problem

Answers

Step-by-step explanation:

First problem looks right. Although he started with 145, not 25. Savings and checking combined is the total amount of cash he had before he started working, which is why it's added to the total amount of money he has.

He saves 55 every week. because the multiplier on w, which is weeks is 55. So for every week 55 is added to the multiplication. Ex 2 weeks is 110, 3 is 165, 4 is 220 etc..


He wanted a total of 650 usd. Doesn't matter where it is the total is what matters. Doesn't matetr if hes spending,  storing or even burning the money..
So first make 55w+145=650 then solve

Minus 145 from both sides

55w = 505

About 9 weeks one day and 6 hours. This is a rough estimate since the answer is 9.18181818 weeks.

Which data set does the box-and-whisker plot represent?

Answers

Answer:

2nd choice

Step-by-step explanation:

A carpenter has wood that is 5x+2 feet long. How long is the wood after 2x-5 feet have been cut off. (type in your solution so i can learn from it thanks)

Answers

5x+2 - (2x - 5)

= 5x + 2 - 2x + 5

= 3x + 7

I am pretty sure that it is 3x+7

I need this question answered

Answers

Answer:

-40

Step-by-step explanation:

HOPE THIS HELPS BRAINLIST

-40, because 5 can go into 200 40 different times. But since it’s negative you need to make 5 negative. Either way, -200/5=-40

Line m passes through points (10, 4) and (1, 6). Line n passes through points (1, 11) and (10, 9). Are line m and line n parallel or perpendicular

Answers

Answer:

Parallel

Step-by-step explanation:

Answer:

parallel

Step-by-step explanation:

Please help I will mark brainliest

Answers

Answer:

Hey dude! Im not sure how to figure out the angle on my own so try using math-way algebra it works most of the time!

sorry i cant help any more!

X= 106.6 degrees

Formula: a^2=b^2+c^2-2bcCosx
a=5.3
b=5.3
c=8.5

.
What is the name of the perimeter of a circle?
Length
Circumference
Perimeter
Width

Answers

Answer: circumference

Step-by-step explanation: you’re welcome

Answer:

circumference because it

Beth has 380 pages left to read in her literature book. She has decided to read 40 pages every three days. What is the slope of the
line that represents this function?

Answers

Answer:

slope = 1/-13

Step-by-step explanation:

Solve for y
2(y + 2) = 62(y+2)=6

Answers

Answer:

y=-8

Step-by-step explanation:

2y+4=62y+124=6

2y-62y=124-4=6

-60y=120=6

divide both side by -60

y=120/-60=6

y=-2=6

y=-2-6

y=-8

A right triangle is shown with a base of 6 cm and a height of 14 cm, what is the area in square cm of the right triangle

Answers

Answer:

42 square cm

Step-by-step explanation:

6 x 14 = 84. 84 divided by 2 = 42.

a = b x h divided by 2

1. The table shows the prices of 3 boxes of laundry detergent of different sizes. Which size box costs the least per ounce? Explain your answer. Size Price 150 OZ 100 oz $18.97 $11.97 $8.97 56 OZ​

Answers

The table is an illustration of unit rates

Box 2 has the least price per ounce

How to determine the least per ounce

The given parameters are:

Box 1 = $18.97 per 150 Oz

Box 2 = $11.97 per 100 Oz

Box 3 = $8.97 per 56 Oz

Divide the price by the sizes, to get the rates

[tex]Box 1 = \frac{18.97}{150} =0.126}[/tex]

[tex]Box 2 = \frac{11.97}{100} =0.1197}[/tex]

[tex]Box 3 = \frac{8.97}{56} =0.160[/tex]

By comparison, 0.1197 is the least

Hence, box 2 has the least price per ounce

Read more about unit rates at:

https://brainly.com/question/19493296

3rd time posting this question first time was 2 hours ago, someone please help

Answers

Answer:

What math level is this?

6x - ? = x
whats the answer

Answers

Answer:

5x

Step-by-step explanation:

6x - ? = x

? = 6x - x

? = 5x

Hope it helps ⚜

[tex]6x - ? = x\\-?=x - 6x\\-?=-5x\\\Longrightarrow \: \: ?=5x[/tex]

[tex]\heartsuit \: \sf\: Jenkai \: \bigstar[/tex]

Please need the answer

Answers

Answer:

A. True

B. True

C. False

Step-by-step explanation:

Hope that helps!

Help please!!! I really don’t know how to do this!

Answers

Answer:

I'm going to do 1 as an example and using what I've taught you, you have to do the rest. Hope my explanation helps.

Step-by-step explanation:

We are given the points (-2, -4) and (-1, -1)

We need to find the slope.

The equation to do so is y2 - y1 / x2 - x1

lest say:

-2 is x1

-4 is y1

-1 is x2

-1 is y2

-1 - (-4) / -1 - (-2)

3/1 = 3

slope (m) = 3

We already know the y-intercept is 2

The equation of a line is y = mx + b

For this problem we just have to substitute what we already know.

y = (slope)x + y-intercept

y = 3x + 2

*TIP*

If the y-intercept is negative, let's say: b = -5  (using slope 8)

the equation will be y = 8x - 5

Hope this helps. I wish you all the best. :)

Select the equivalent expression.

Answers

Answer:

c

Step-by-step explanation:

the exponent 5 is multiplied by 4 then the other exponent 2 is also  multiplied by 4

Answer:

C

Step-by-step explanation:

using the rule of exponents

[tex](a^{m})^n[/tex] = [tex]a^{mn}[/tex]

[tex](\frac{2^{5} }{x^2})^4[/tex]

= [tex]\frac{2^{5(4)} }{x^{2(4)} }[/tex]

= [tex]\frac{2^{20} }{x^{8} }[/tex] → C

:>) The senior class at Wildgrove High School is graduating. The number of students
receiving diplomas dictates the duration of the graduation ceremony.
)) s = the number of students receiving diplomas
d = the duration of the graduation ceremony
=
)) Which of the variables is independent and which is dependent?
1)
s is the independent variable and d is the dependent
variable
d is the independent variable and s is the dependent
variable
Submit

Answers

Answer:

s is the independent variable and d is the dependent variable.

Step-by-step explanation:

--------- :)

2x² + 3 = 39 extracring square roots

Answers

Answer:

x=9

Step-by-step explanation:

first, subtract 3 from both sides so 2x^2=36, then, divide both sides by 2 so x^2=18 and divide 18 by 2 and 9^2=18

Answer:

x = ± 3[tex]\sqrt{2}[/tex]

Step-by-step explanation:

2x² + 3 = 39 ( subtract 3 from both sides )

2x² = 36 ( divide both sides by 2 )

x² = 18 ( take square root of both sides )

x = ± [tex]\sqrt{18}[/tex] = ± [tex]\sqrt{9(2)}[/tex] = ± ( [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] ) = ± 3[tex]\sqrt{2}[/tex]

I need help with this

Answers

Answer: B

Step-by-step explanation:

We can see that the graph is being compressed, so f(x) is being transformed into f(ax), where 0<a<1.

The only option that satisfies this is y=f(x/2).


Please help me with the math

Answers

40, 12
20, 8
0.5, 4.1
hope this helps!!

The area of this polygon is 228 square meters
What is the length of the side labeled with a question mark
Enter your answer in the box

Answers

Answer: 7

Step-by-step explanation:

Let the unknown length be x

Cut the polygon into 2 pieces

6 * 24 + x * (18 - 6) = 228

144 + 12x = 228

12x = 84

x = 7

The length of the side labeled with a question mark in the given polygon is 7 meters.

What is area?

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

Given that, the area of this polygon is 228 square meters.

We know that, the area of a rectangle is Length×Breadth

Area of a large rectangle = 24×6

= 144 square meters

Let the length of unknown side be x.

Area of a small rectangle = 12×x

Total area = Area of a large rectangle+Area of a small rectangle

228=144+12x

12x=228-144

12x=84

x=84/12

x=7 meters

Therefore, the length of the side labeled with a question mark is 7 meters.

Learn more about the area here:

https://brainly.com/question/27683633.

#SPJ3

)) A cylinder has a height of 9 meters and a diameter of 34 meters. What is its volume?
Use a = 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

Volume of a sphere is (pi)*(r^2)*(h), where r is raduis, h is height, and pi is 3.14.

Diameter is 24/2 = 12

We just need to plug everything in.

(3.14)*(12^2)*(14) = 6330.24

I hope this helped. :)))

=^._.^=

Segment EF is tangent to Circle H at Point F and Segment EG is tangent to Circle H at Point G. Determine the value of the variable and the length of Segment EF.​

Answers

Bro they didn’t even teach me this in middle school I I can help you maybe try asking someone for help

Plz help! Due tonight!
Recycled​ CDs, Incorporated, offers a choice of 5 used CDs for ​$20​, with each additional CD costing ​$6. Write a cost function for purchasing 5 or more CDs. What will the cost of buying 9 CDs​ be? Let x represent the number of CDs over 5.

Answers

the answer will be

48$ dollars

Answer:

20 + 6x

$44

Step-by-step explanation:

So 5 CD's for 20 dollars is $4 ea. then each one added will be +6 with the variable (x).

so you can't have the first 5 becuase x is used for every one OVER 5.

So

$ or price = 20 + 6x

plug 4 in because 9-5 = 4

20 + 6(4)

20 + 24

$44

find the radius of cylinder with a volume of 108pi ft3 and height of 12 ft​

Answers

The volume of a cylinder is the amount of space in it

The radius of the cylinder is 3 feet

How to calculate the radius

The volume of a cylinder is:

[tex]V = \pi r^2 h[/tex]

Where r represents the radius, and h represents the height

So, we have:

[tex]108\pi = \pi r^2 * 12[/tex]

Divide both sides by 12pi

[tex]9 = r^2[/tex]

Take the square roots of both sides

3 = r

Rewrite as:

r = 3

Hence, the radius of the cylinder is 3 feet

Read more about volume at:

https://brainly.com/question/10171109

Choose the correct simplification and demonstration of the closure property given: (3x3 2x2 − 5x) − (8x3 − 2x2). 5x3 2x2 5x; is a polynomial 5x3 2x2 5x; may or may not be a polynomial −5x3 4x2 − 5x; is a polynomial −5x3 4x2 − 5x; may or may not be a polynomial.

Answers

The resultant polynomial which is the correct simplification and demonstration of the closure property of give expression is,

[tex]-5x^3 +4x^2- 5x[/tex]

This resultant expression is polynomial.

What is polynomial?

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

The given expression in the problem is,

[tex](3x^3 +2x^2 - 5x) - (8x^3 - 2x^2).[/tex]

Let the resultant polynomial of the above expression is f(x). Therefore,

[tex]f(x)=(3x^3 +2x^2 - 5x) - (8x^3 - 2x^2).[/tex]

To solve the above polynomial, open the bracket by multiplying the sign with inside values as,

[tex]3x^3 +2x^2 - 5x - 8x^3 +2x^2[/tex]

Separate the same power terms of the variables as,

[tex]f(x)=3x^3- 8x^3 +2x^2 +2x^2- 5x\\f(x)=-5x^3 +4x^2- 5x[/tex]

The resultant polynomial which is the correct simplification and demonstration of the closure property of give expression is,

[tex]-5x^3 +4x^2- 5x[/tex]

This resultant expression is polynomial.

Learn more about polynomial here;

https://brainly.com/question/24380382

Enter answer as a decimal ex: 42.53

Answers

21 rounded to the nearest hundredth is 21.00!

Answer:

The probability of pulling a green marble is 0.58 (58%).

Step-by-step explanation:

Total marbles: 36

Purple marbles: 15Green marbles: 21

[tex]\frac{21}{36} = 0.58[/tex]

Finding angles , please help

Answers

Answer:

m∠C = 43.6°, m∠B = 107.4°, b = 51.2

Step-by-step explanation:

Use the law of sines:

a / sin ∠A = c / sin ∠C26 / sin 29° = 37 / sin ∠Csin ∠C = 37 sin 29° / 26sin ∠C = 0.6899m∠C = arcsin 0.6899m∠C = 43.6°

Find the missing angle:

m∠B = 180° - 29° - 43.6° = 107.4° (rounded)

Use the law of sines to find the length of b:

a / sin ∠A = b / sin ∠B26 / sin 29° = b / sin 107.4°b = 26 sin 107.4° / sin 29°b = 51.2 units (rounded)

Use the graph of speed versus time to answer the questions about acceleration.



Which of the cars is speeding up? ______



Which of the cars is slowing down? ______



Which of the cars is maintaining a constant speed? ______

Answers

The car that is speeding up is car A.

The car that is slowing down is car C.

The car that is maintaining a constant speed is car B.

What is speed?

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

We have,

From the graph, we see that,

Car A speed is increasing with time.

Car B is maintaining a constant speed with time.

Car C is decreasing its speed with time.

Thus,

Car A is speeding up.

Car C is slowing down

Car B is maintaining a constant speed.

Learn more about speed here:

https://brainly.com/question/7359669

#SPJ1

Answer:

Step-by-step explanation:

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