Learning Task 2: Solve each problem using the application of LCM and
GCF
1.) In Art class, Mrs. Lucia had 36 sheets of green paper and 42 sheets of
blue paper. If Mrs. Lucia wanted to give an equal number of each type of
paper, how many sheets of paper should each pupil get?​

Answers

Answer 1

Answer:

Each pupil get 6 sheet

Step-by-step explanation:

Given:

Number of green sheet = 36

Number of blue sheet = 42

Find:

Common factor

Computation:

36 = 6 x 6

42 = 6 x 7

So, 6 is a common factor

Each pupil get 6 sheet

Answer 2

Each student should get 6 papers

The lowest common multiple is the smallest factor of a set of numbers.

The highest common factor is the biggest factor of a set of numbers.

A multiple of a number is a number that can divide another number without a remainder.

Factors of 36 =1, 2, 3, 4, 6, 9, 12, 18, and 36

Factors of 42 = 1, 2, 3, 6, 7, 14, 21, and 42.

The common factors of both numbers are : 1,2,3,6

Each student should get 6 papers

To learn more about highest common factor, please check: https://brainly.com/question/18650233?referrer=searchResults


Related Questions

Write the number in
standard form
6 tens+7=

Answers

6 x 10 + 7 = 67.

When the refer to tens, they’re meaning (said number) x 10.

Answer:

67

Step-by-step explanation:

question 8 i mark as brainliest ​

Answers

Answer:

195 tickets

Step-by-step explanation:

If the dance teacher spent the whole budget, then that means you can just divide the budget by the cost of tickets:

5,460 / 28, which is 195 tickets.

To determine the number of trout in a​ lake, a conservationist catches 174 ​trout, tags them and throws them back into the lake.​ Later, 22 trout are​ caught; 11 of them are tagged. How many trout would the conservationist expect to be in the​ lake?

Answers

Answer:

348 trouts in the lake

Step-by-step explanation:

Since this is basically a ratio problem and we are given three values we can use the rule of three to solve for the missing variable which would be the total amount of trouts in the lake. To do so we multiply the total amount trouts tagged by the number of trouts caught later. Then we multiply that product by the amount that were found to be tagged later.

22 total trouts caught later  <=========>  11 trouts were tagged

x total trouts  <=========> 174 trouts tagged

(174 * 22) / 11 = 348 total trouts in the lake

Finally, we can see that the conservationist would expect there to be around 348 trouts in the lake.

Find the x- and y-intercepts of the graph of the linear equation −4x+3y=−30

Answers

Answer:

y-int = -10, x-int = 15/2

Step-by-step explanation:

y int:

-4(0)+3y=-30

3y=-30

y=-10

x int:

-4x+3(0)=-30

-4x=-30

x=30/4=15/2

which expression is equivalent to the following complex fraction?

(pls help me out)​

Answers

Answer:

B. [tex] \frac{-4x + 7}{2(x - 2)} [/tex]

Step-by-step explanation:

Simplify the given expression to determine its equivalent expression in the given options.

[tex] \frac{\frac{3}{x - 1} - 4}{2 - \frac{2}{x - 1}} [/tex]

[tex] \frac{\frac{3}{x - 1} - \frac{4}{1}}{\frac{2}{1} - \frac{2}{x - 1}} [/tex]

[tex] \frac{\frac{3 - 4(x - 1)}{x - 1}}{\frac{2(x - 1) - 2}{x - 1}} [/tex]

[tex] \frac{\frac{3 - 4x + 4}{x - 1}}{\frac{2x - 2 - 2}{x - 1}} [/tex]

[tex] \frac{\frac{-4x + 7}{x - 1}}{\frac{2x - 4}{x - 1}} [/tex]

[tex] \frac{-4x + 7}{x - 1} * \frac{x - 1}{2x - 4} [/tex]

(x - 1) cancels (x - 1)

[tex] \frac{-4x + 7}{1} * \frac{1}{2x - 4} [/tex]

[tex] \frac{(-4x + 7)1}{1(2x - 4)} [/tex]

[tex] \frac{-4x + 7}{2x - 4} [/tex]

[tex] \frac{-4x + 7}{2(x - 2)} [/tex]

What is 27 5/6 - 2/7?

Answers

Your answer would be 27 23/42

Answer:

my calculator says 1159/35

Step-by-step explanation:

Two student clubs plan to share a bus on a trip to the capital.Transportation and lunch for one day is 12 bucks per student.One club has 25 members and the other club has 18 members.What is the total cost of the trip

Answers

Answer:

516

Step-by-step explanation:

add 25 and 18 and you get 43 students if you have to pay 12 for every student you'd have to multiply 43 × 12 = 516 so the trip would be 516 in total

Un paracaidista que pesa 70 N es lanzado de un avión. halla su masa​

Answers

Answer:

La masa del paracaidista es 7.14 Kg

Step-by-step explanation:

Peso y Masa

La masa de un objeto es una medida de la cantidad de material que el objeto posee. Sus unidades más comunes son el Kg, gr, lb, Ton.

El peso de un objeto de masa m es la fuerza con la cual la Tierra atrae al objeto a través de la aceleración de gravedad g. Sus unidades son iguales a las de cualquier fuerza, es decir, Nw, Kgf, Dina. Su fórmula es:

P=m.g

Si tenemos el peso P=70 N, podemos calcular la masa, despejándola de la fórmula:

[tex]\displaystyle m=\frac{P}{g}[/tex]

Sustituyendo los valores:

[tex]\displaystyle m=\frac{70}{9.8}=7.14\ Kg[/tex]

La masa del paracaidista es 7.14 Kg

jessica edits the school year book she says that the dimensions of the student photo are proportional to the dimensions of the small photo medium photos large photos found throughout the year book. is she correct explain your reasoning.

Answers

9514 1404 393

Answer:

  no

Step-by-step explanation:

The ratio of width to height for the different photos are ...

  student: 1 : 3/2 = (2/2):(3/2) = 2 : 3

  small: 2 : 5/2 = (4/2):(5/2) = 4 : 5

  medium: 4 : 5 . . . (same as small)

  large: 8 : 10 = 4 : 5 . . . (same as small and medium)

The small, medium, and large photos all have proportional dimensions, but those are not proportional to the dimensions of the student photo.

4Flaming Hoop Jump of Awesome Daredevil Danny attempts the feat of jumping his motorcycle through the Flaming Hoop Jump of Awesome. In order for Daredevil Danny to pass through the hoop, he will need a safe path to travel. Let’s explore the parabolic trajectory that he will need for a safe journey. Directions Complete each of the following tasks, reading the directions carefully as you go. Be sure to show all work where indicated, including inserting images of graphs. Be sure that all graphs or screenshots include appropriate information such as titles, labeled axes, etc. If your word processing program has an equation editor, you can insert your equations here. Otherwise, print this activity sheet and write your answers by hand. In addition to the answers you determine, you will be graded based on the work you show, or your solution process. So, be sure to show all your work and answer each question as you complete the task. Type all your work into this document so you can submit it to your teacher for a grade. You will be given partial credit based on the work you show and the completeness and accuracy of your explanations. Your teacher will give you further directions about how to submit your work. You may be asked to upload the document, e-mail it to your teacher, or print it and hand in a hard copy. Now, let’s get started! Step 1: Analyze the graph. Daredevil Danny takes a practice jump as shown on the graph below. Complete the steps to determine the equation for the parabolic trajectory of his practice jump. a) What are the key aspects of any parabola? What do the key aspects tell you about the graph? (5 points) b) What are the key aspects of Daredevil Danny’s practice jump shown in the graph provided? Describe each value and how it is determined. (10 points) Step 2: Solve for coefficient a. a) What equation is used to find the vertex form of a parabola with the vertex (h, k)? (5 points) b) Solve for the coefficient a in the vertex form for the parabola in Daredevil Danny’s practice jump using key aspects from step 1. As you solve for the coefficient, explain each step of the process in detail. (15 points) c) What is the vertex form of the parabola from Daredevil Danny’s practice jump? (5 points) Step 3: Change from vertex form to standard form. To get Daredevil Danny through the Flaming Hoop Jump of Awesome, you will need to know the values of a, b, and c, which are the coefficients of the quadratic equation in standard form. a) What is the equation for a parabola in standard form? (5 points) b) Describe how to convert from vertex form to standard form. (10 points c) Convert the vertex form of the equation you wrote above to standard form. (10 points) d) What are the values for coefficients a, b, and c in the quadratic equation for Daredevil Danny’s practice jump? (5 points) Step 4: Calculate the equation for the flaming hoop jump. Using the same method for the practice jump, write the standard form of the equation that will get Daredevil Danny safely through the Flaming Hoop Jump of Awesome! a) Write the vertex form by substituting in values for x, y, h, and k, and then solve for a. Show your work. (10 points) b) Determine the values of a, b, and c. Show your work. (10 points) c) Using your values of a, b, and c, did Daredevil Danny successfully pass through the Flaming Hoop Jump of Awesome? If not, describe what happened. Then, go back to critique your work and revise it. Write about your revision. (5 points) d) Once you have determined the correct values of a, b, and c, verify algebraically that Daredevil Danny will successfully pass through the Flaming Hoop Jump of Awesome. (5 points)

Answers

Answer:

Flaming Hoop Jump of Awesome

Roslyn Bertley

Q : A) What are the key aspects of any parabola? What do the key aspects tell you about the graph?

A : It goes up to its max point and comes down. The max point is 32 and how far it went was from 15 to 35

Q : A) What are the key aspects of Daredevil Danny’s practice jump shown in the graph provided? Describe each value and how it is determined.

A : Its a standard form graph , and Danny needs to figure out the speed he is ganna go and the its angle

Step 2: Solve for coefficient a.

Q : A) What equation is used to find the vertex form of a parabola with the vertex (h, k)?

A : F(x)=ax2+bx+c

Q : b) Solve for the coefficient a in the vertex form for the parabola in Daredevil Danny’s practice jump using key aspects from step 1. As you solve for the coefficient, explain each step of the process in detail.

A : The picture lets us know that the equation of a vertical parabola in vertex form is given by wher A is the leading coefficient. (h,k) is the vertex. looking at the graph we have a vertical paraboola opening downward . The vertex is a maximum The vertex is the point (25.32) substitute in the equation

Q : c) What is the vertex form of the parabola from Daredevil Danny’s practice jump?

f(x)=-12/25(x-25)^2+32

Step 3: Change from vertex form to standard form.

Q : a) What is the equation for a parabola in standard form?

A : y = ax^2 + bx + ct

b) Convert the vertex form of the equation you wrote above to standard form.

f(x)= -0.48xˆ2+24x-268

c) What are the values for coefficients a, b, and c in the quadratic equation for Daredevil Danny’s practice jump?

Step-by-step explanation:

that’s all i got

The temperature rose by 3°C. Suppose it fell from -2°C to -10°C. Predict whether the change in temperature would be positive or negative.

Answers

Answer:

Probably negative.

Step-by-step explanation:

It fell 8 degrees celsius. That's a lot!

Simplify 2k^8×3k^3

Answers

Answer:

[tex]6k^{11}[/tex]  

I hope this helps!

Answer:

6 k^ 11

Step-by-step explanation:

2k^8×3k^3

2*3  * k^8 * k^3

6 * k^8 * k^3

When multiplying exponents with the same base, we can add the exponents

6 k^( 8+3)

6 k^ 11

3. Find the slope of the line described by the equation.
5x = 90 – 9y

Answers

Answer

x= -9y/5 +18

y= -5x/9 +10

Step-by-step explanation:

Step-by-step explanation:

5x=90-9y

9y=-5x+90

y= (-5/9)x+10

Slope= -5/9

THIS IS DUE TODAY! PLEASE ANSWER!: Find the value of 'X' in the triangle below

Answers

Answer:

Step-by-step explanation:

First find the angle in the lower left.

180 - 100 = 80

3x + 2x + 80 = 360

solve for x

5x = 280

5x/5 = 280/ 5

x = 56

Plug this in to make sure the equation is true

3(56) + 2(56) + 80 = 360

168 + 112 + 80 = 360

360 =360

Therefore x = 56

You are testing fertilizers on plants. One plant is 11 cm tall and growing at a rate of 2 cm/day. Write an equation that can be solved to find the number of days, d, it will take for the plant to be 65 cm tall.

Answers

I would consider for you to use Socratic

The required equation  that can be solved to find the number of days, d, it will take for the plant to be 65 cm tall is d=  [tex]\frac{5.5\times 65}{11}\\[/tex]

From the question given, we are told that when testing fertilizers on a plant that is 11 cm tall, it is growing at a rate of 2 cm/day. This can be expressed as:

11cm = 2cm/day

We can get the number of days it will take the 11cm plant to grow:

11cm = x

2cm = 1 day

[tex]2x = 11 * 1\\2x = 11\\x = 11/2\\x = 5.5 days\\[/tex]

Since it will take 5.5days for 11 cm plant tall to grow, to calculate the number of days 'd' it will take a 65cm plant tall to grow, we can say:

11cm = 5.5days

65cm = "d"

Cross multiply

[tex]11d = 5.5 \times 65\\d = \frac{5.5\times 65}{11}\\[/tex]

Hence the required equation  that can be solved to find the number of days, d, it will take for the plant to be 65 cm tall is d=  [tex]\frac{5.5\times 65}{11}\\[/tex]

Learn more here: https://brainly.com/question/23557548

(1) Kareem pumped 28 gallons of water in her pool.This was done over a period of 4 minutes at a constant rate. What was the change in the amount of water in the pool each minute?

Answers

Answer:

7 Gallons of water get pumped into the pool every minute.

Step-by-step explanation:

28 Divided by 4= 7 so it is 7 gallons per min.

STUCK AGAIN PLEASE HELP !

-18,762=-3z-540

Answers

Answer:

z = 6074

Step-by-step explanation:

-18762 = -3z - 540

-3z = -18762 + 540

-3z = -18,222

z = 6074

Answer:

Your answer is: ↓

Step-by-step explanation:

Hope this helped : )

Susan read 40 pages of a novel in 80 minutes. How long will it take her to read 210 pages of the novel?​

Answers

Answer: It will take Susan 420 minutes to read 210 pages of her novel.

Which expression is equivalent to
(2x4y)3

2x7y4
2x12y3
8x7y4
8x12y3

Answers

The correct answer would be 8x12y3

Answer:

D

Step-by-step explanation:

Already did it.

The 7 a.m. flight from Dallas to Chicago is on time 75% of the time. Fran created this spinner to simulate the scenario. A spinner with 4 equal sections. 3 sections are shaded. Fran spun the spinner three times to predict whether the flight will be on time or late next Monday, Tuesday, and Wednesday. How should she interpret this outcome of the three spins: shaded-shaded-unshaded? The flight will be late all three days. The flight will be on time all three days. The flight will be late on one of the three days. The flight will be on time on one of the three days.

Answers

Answer:

CORRECT OPTION is (C) The flight will be late on one of the three days.

Step-by-step explanation:

The 7am flight from Dallas to Chicago is on time 75% of the time.

A spinner with four sections was created by Fran to simulate this scenario.

Since the 4 sections were equal, it means each section was 25% of the spinner.

3 sections were shaded. That implies 25 × 3 = 75% of the spinner was shaded area.

This coincides with the 75% probability that the flight is on time on a given day.

In other words, if the spinner's pointer lands on shaded area, the flight will be on time. If the pointer lands on an unshaded portion, the flight will be late.

Now Fran spun the spinner 3 times so she has 3 outcomes. The outcomes are:

- Shaded   - Shaded   - Unshaded

CORRECT OPTION is (C) The flight will be late on one of the three days.

Answer:

C

Step-by-step explanation:

I did the test

20 penguins on a ice berg 9 jump in the water 8 move to a island how many are left on the ice berg​

Answers

Answer:

3

Step-by-step explanation:

20-9=11

11-8=3

3 is the final answer

HELP ASAP GIVING BRAINLIEST AND 11 POINTS PLS HELP!!!!!! THANK U SM HOWEVER HELPS IT MEANS A LOT AND ITS DUE IN 20 MINS PLS HURRY AND TYSM AGAIN

Answers

Answer:

Slope= 2 / 10 = 1 / 5 = 0.2

y-intercept= (0, -4/5) or (0, -0.8)

Step-by-step explanation:

Bill was looking through a microscope. He called Sue over to tell her what he saw. He showed her a cell wall, nucleus, mitochondria, and chloroplast. What type of cell was he looking at?

A. Prokaryotic cell B. Plant cell
C. Animal cell
D. Red blood cell

Answers

Answer:

B. Plant cell

Step-by-step explanation:

Prokaryotic cells do not contain an enclosed nucleus or chloroplast

Red blood cells do not contain chloroplast

Animal cells do not contain chloroplast

What’s this formula used to calculate?

Answers

Answer : definitely sampling error

Select the correct answer.

A recent survey reported that 9.7% of Virginia's population worked in the construction industry. Which is equivalent to 9.7%?



Question 8 options:

970


97


0.97


0.097

Answers

Answer:

0.097

Step-by-step explanation:

Solve for x. 3(2x - 3) + 3 = 24

Answers

Hey :)

x= 5

First use distributive property to multiply 3 with 2x and 3 with -3
6x-9 + 3 = 24

Find like terms, which are -9 and 3
6x-6 = 24

Take the -6 to the other side, now it’s positive
6x = 24+6

Now add them together
6x= 30

Now take 6 to the other side, it becomes division
x = 30/6
x = 5

Hope this helps!

Answer:

[tex] \huge{ \bold{ \boxed{ \tt{x = 5}}}}[/tex]

Step-by-step explanation:

[tex] \text{3(2x - 3) + 3 = 24}[/tex]

[tex] \text{Step \: 1 \: : \: Distribute \: 3 \: through \: the \: parentheses\: }[/tex]

[tex] \text{ ➳\: 3 * \: 2x - 3 * 3 + 3 = 24}[/tex]

[tex] \text{➳ \: 6x - 9 + 3 = 24}[/tex]

[tex] \text{Step \: 2 : \: Subtract \: 3 \: from \: 9}[/tex]

[tex] \text{➳ \: 6x - 6 = 24}[/tex]

[tex] \text{Step \: 3 : Add \:6 \: on \: both \: sides}[/tex]

[tex] \text{➳ \: 6x - 6 + 6 = 24 + 6}[/tex]

[tex] \text{➳ \: 6x = \: 30}[/tex]

[tex] \text{Step \: 4 : Divide \: both \: sides \: by \: 6}[/tex]

[tex] \text{➳ 6x / \: 6 \: = \: 30/ \: 6}[/tex]

[tex] \text{➳ \: x = 5}[/tex]

[tex] \text{The \: value \: of \: x \: is \: 5}[/tex]

[tex] \text{Hope \: I \: helped!}[/tex]

[tex] \text{Best \: regards!}[/tex]

~[tex] \text{TheAnimeGirl}[/tex]

There are two pear trees in Charles’s backyard. The height of the rst tree is two more than three times taller than the other. If the dierence in height between the two trees is 14.5 feet, calculate the height of the shorter pear tree?

Answers

Answer:

Lol Charles from Brooklyn nine-9

Step-by-step explanation:

Y=2.25 +1.75(x-1) rate of change

Answers

Answer:

I think its -2/7

Step-by-step explanation:

if I'm wrong I'm sorry

40 POINTS!!! Answer asappp!!!!!!
Solve the following proportion for u.
3 U
— = —
13 7

Round your answer to the nearest tenth.

Answers

Answer:

Th value of u is 1.6

Step-by-step explanation:

In order to find the value of u, you have to multioly both sides by 7 :

[tex] \frac{u}{7} = \frac{3}{13} [/tex]

[tex] \frac{u}{7} \times 7 = \frac{3}{13} \times 7[/tex]

[tex]u = 1.6 \: (near. \: tenth)[/tex]

1 quart= 4cups=1.96, Each cup coat?

Answers

Answer:

Step-by-step explanation:

Sorry but please give detailed question

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