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

Each of 7 students reported the number of movies they saw in the past year. Here is what they reported.
13, 8, 18, 19, 13, 14, 12
Find the mean number of movies that the students saw.
If necessary, round your answer to the nearest tenth.

Answers

Answer:

13.9

Step-by-step explanation:

The mean of a set of numbers is the sum divided by the number of terms

Interest earned on 5000 with a rate of 6.4% for 4 years

Answers

Answer:

1280

Step-by-step explanation:

I = p x r x t

I = 5000 x 6.4/ 100 x 4

I = 5000 x 0.064 x 4

I =1280

Why do we use coordinate planes to do
transformations and dilations?

Answers

Answer: a coordinate plane is used in order to track the location of the object.

Translations are congruence transformations that move an object, without changing its size or shape

Dilations are transformations that generate an enlargement

Step-by-step explanation:

is 3/4 less than,greater than,or equal to -1/2 ?​

Answers

Answer: Greater than

3/4 greater than -1/2

3/4 > -1/2

Any positive number is always larger than any negative number

On a number line, stuff on the right side is always larger than stuff on the left side.

Answer:

it"s greater then

An architect wants to build a scale model of a building that is in the shape of a rectangular prism. The building has a height of 500 ft., a width of 120 ft., and a length of 600 ft.The scale model is 1% of the size of the building based off its length and width, so the length of the scale model is and the height of the scale model is .

Answers

Height: 5ft.

Legnth: 6ft.

Width: 1.2 ft.

1% of 500 is 5ft

1% of 600 is 6ft

1% of 120 is 1.2ft

create a equation that the answer is 64

Answers

Answer:

8x8

Step-by-step explanation:

Answer:

I have multiple.

Step-by-step explanation:

16x4=64

8x8=64

4x16=64

Y = x Squared - 2x - 15

Answers

Answer:

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y. x-intercept(s): (5,0),(−3,0)y-intercept(s): (0,−15)

The function that represents the amount of caffeine in milligrams remaining

Answers

Answer:

Step-by-step explanation:

The function that represents the amount of caffeine, in milligrams, remaining in a body after drinking two mountain dew sodas is given by f(t) = 110(0.8855)^t, where t is time in hours.

Answer:

If you are referring to a logarithmic function with a continuous rate of decrease(as implied by remaining), then here is your answer:

A(t) = c×e^(dt)

where c is the starting amount of caffeine in miligrams, e is euler's number (base of a natural logarithm), and d is continuous rate of logarithmic change(as a percentage decay(negative)) per t(time) in standard unit of time(i.e hours)

I.e(for instance): if you are given a cup of coffee with an initial 190 mg of caffeine, leaving the body at a rate of 36% every hour.

This relationship solving for the remaining miligrams can be given by:

A(t) = 190 mg × e ^ (-.36t)

Where t is the amount of hours.

7. A crew of electricians can wire 6 houses in 243 hours. How many hours will it take them to wire
13 houses?

Answers

Answer:

243*2=486

243/6=40.5 Or how many hour it would take to wire one house.

486+40.5=526.5Hrs

The length of a rectangle is (3x − 5) inches, and its width is 2x inches. Find the area of the rectangle.

Hint: Area of a rectangle = length × width.

Answers

Answer:

A = 6x² - 10x

General Formulas and Concepts:

Area of a Rectangle: Length × Width

To expand, use FOIL - First, Outside, Inside, Last

Step-by-step explanation:

Step 1: Define variables

l = 3x - 5

w = 2x

Step 2: Find area

Substitute:                   A = (3x - 5)(2x)Expand (FOIL):            A = 6x² - 10x

Answer: A=6x^2-10x ✅

Step-by-step explanation:

Hii, do you need to find the area of the rectangle? Let me help you out! (:

Luckily, there's a formula to find this! (:

Area

To find the area of a rectangle, multiply its length times its width. This is shown below.

[tex]\LARGE\boldsymbol{A=L W}[/tex]

Here, "A" denotes the area

"L" denotes the length

"W" denotes the width

NB : "L" and "W" are interchangeable

Next, it's just a matter of sticking in the known values...

[tex]\twoheadrightarrow\sf A=2x(3x-5)[/tex]

===> it's perfectly legal to stick in the values the other way around, because they are interchangeable

Alright, the next step is to multiply the values...

[tex]\twoheadrightarrow\sf A=(2x\cdot3x)-(2x\cdot(-5)[/tex]

Then we need to simplify...

[tex]\twoheadrightarrow\sf A=6x^2-10x[/tex]

Voila! There's the area of this rectangle! (:

Cheers! (:_______________

Hope I helped! Best wishes.

⚜ Reach far. Aim high. Dream big. ⚜

_______________

Kari is building a rectangular garden bed. The length is 6 feet. She has 20 feet of boards to make the sides. Write and solve an inequality to find the possible width of her garden bed.

Answers

Answer:

ahe using 12 feet of boards and threre 8 ft of board left so i guess the with will be 4.

Step-by-step explanation:

6+6 =12 for the lenghth

4+4=8= for the with

What is the slope of a line that is perpendicular to the line y =-1/5

Answers

Answer:

The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 0 0 . All lines that are parallel to y=−15 y = - 1 5 have the same slope of 0 .

In 1980, the number of high school dropouts in a country was 5217 thousand. By 2008, this number had decreased to 3120 thousand. Find and interpret the average rate of change

per year in the number of high school dropouts.

Answers

Answer:

74893 students per year

Step-by-step explanation:

The Average rate of change is calculated as

= Difference in number of students / Difference in years

= 3120 thousand - 5217 thousands/ 2008 - 1980

= (3120000 - 5217000)/(2008 - 1980)

= -2097000/28

= -74892.857143 per year

Therefore, the average rate of change

per year in the number of high school dropouts is approximately 74893 students per year

What is the slope of a line that is perpendicular to the line y = x + 4?

The slope of the line is

Answers

Answer:

-1

Step-by-step explanation:

Answer:

- 1/6 is correct

perpendicular refers to the opposite of 1/6 therefor being negative 1/6

Step-by-step explanation:

Select two ratios that are equivalent to 27:927:927, colon, 9. Choose 2 answers: Choose 2 answers: (Choice A) A 3:13:13, colon, 1 (Choice B) B 9:39:39, colon, 3 (Choice C) C 6:36:36, colon, 3 (Choice D) D 9:69:69, colon, 6 (Choice E) E 12:312:3

Answers

Answer:

A. [tex]Ratio = 3:1[/tex]

B. [tex]Ratio= 9:3[/tex]

Step-by-step explanation:

Given

[tex]Ratio= 27:9[/tex]

Required

Determine equivalent ratios:

[tex]Ratio= 27:9[/tex]

First, we simplify the ratio to the least possible

[tex]Ratio = 27/9:9/9[/tex]

[tex]Ratio = 3:1[/tex]

By comparison with the given options, we have A and B as answer.

See Proof Below

Proof: A

Compare this to the simplified ratio (given), we have:

[tex]Ratio = 3:1[/tex] = [tex]Ratio = 3:1[/tex]

Proof B

[tex]Ratio= 9:3[/tex]

Simplify the ratio to the least possible

[tex]Ratio= 9/3:3/3[/tex]

[tex]Ratio= 3:1[/tex]

Compare this to the simplified ratio (given), we have:

[tex]Ratio = 3:1[/tex] = [tex]Ratio = 3:1[/tex]

Answer:

9:3 and 3:1

Step-by-step explanation:

I just did this lesson

Simplify using order of
operations.
7(6 + 3) – 4 x 5
P
E
MD
AS

Answers

6+3=9
7(9)-4x5
63-4x5
63-20
Answer: 43

Answer:

[tex]43[/tex]

Step-by-step explanation:

If you dont know what PEMDAS means

P= Parenthesis

E= Exponents

M= Multiplication

D= Division

A= Addition

S= Subtraction

[tex]7(6 + 3) - 4 \times5[/tex]

[tex]6 + 3 = 9[/tex]

[tex]7(9) - 4 \times 5[/tex]

No exponents but there is multiplication

[tex]7 \times 9 = 63[/tex]

[tex]63 - 4 \times 5[/tex]

[tex] - 4 \times 5 = - 20[/tex]

[tex]63 - 20 = 43[/tex]

[tex]43[/tex]

Which area of this sound wave represents a compression?

A)A

B)B

C)C

D)D

Answers

Section E because as u can see it is compacted

Answer:

c

Step-by-step explanation:

on usa test prep

A product's demand per period follows a normal distribution with mean of 60 and standard deviation of 10. The lead time is 3 periods. What order-up-to level should be used to achieve at least a 90% in-stock probability?

Answers

Answer:

209

Step-by-step explanation:

Since the lead time is 2 periods at the time of order, the stocks should last for 3 periods with the 90% probability.

The z-value of 90$ in stock probability = 1.7

Mean of the demand over is (1 + 1 + 1 )  or (2+1 which is 3)

                                                           = 60 x 3 = 180

Now the standard deviation of demand over the three periods = 17.3

Therefore, the order up level would be  = 180 + ( 1.7 x 17.3 )

                                                                   = 209

Which two numbers both round to 1,500 when rounded to the nearest hundred?

Answers

Answer:

C

Step-by-step explanation:

Just take it lol

The two numbers where  both round to 1,500 when rounded to the nearest hundred is option c. 1457 and 1547.

What is Rounded number?

The rounded number should be that where the number should be rounded to the nearest tenth, hundred or thousand

Since the number is 1500

So for hundred the number should be likely 1457 and 1547.

hence, the option c is correct.

learn more about number here: https://brainly.com/question/21474983

Jill has not been able to maintain the $1,000 minimum balance required to avoid fees on her checking account. She wants to switch to a different account with a fee of $0.20 per check and a $12.50 monthly maintenance fee. Jill wants to estimate the fees for her new account. Below is a summary of the checks she has written from May to August. What is the mean number of checks Jill wrote per month during the last four months? Based on the mean, estimate how much Jill expects to pay in per-check fees each month after she switches to the new account. Estimate the total monthly fees Jill will pay each month for the new checking account.

Answers

Step-by-step explanation:

 Kindly find attached a summary of the checks she has written from May to August.

A. What is the mean number of checks Jill wrote per month during the last four months

mean= (14+19+23+24)/4

mean= 80/4

mean= 20 checks

B.  Based on the mean, estimate how much Jill expects to pay in per-check fees each month after she switches to the new account.

the expression for the total is given as

y=12.50+0.2x

y=12.50+0.2(20)

y=12.50+4

y=16.5

=$16.5

C. Estimate the total monthly fees Jill will pay each month for the new checking account.

May= 12.50+0.2(14)

May=12.5+2.8= 15.3

June= 12.50+0.2(19)

June=12.5+3.8= 16.3

July= 12.50+0.2(23)

July=12.5+4.6= 17.1

August= 12.50+0.2(24)

August=12.5+4.8= 17.3

total will be = 15.3+16.3+17.1+17.3= $66

A:20

B:$4.00

C:$16.50

A: 14+19+23+24/4 = 20

B: 20/.2 = 4

C: 12.50+4= 16.50

Find f’(2) for f(x)=5e^-xln(x^2+5x)

Answers

9514 1404 393

Answer:

  f'(2) ≈ −1.3508

Step-by-step explanation:

The derivative of the function is ...

  f'(x) = 5(-e^-x·ln(x^2 +5x) +e^-x·(2x +5)/(x^2 +5x))

Then ...

  f'(2) = 5e^(-2)(-ln(14) +9/14) ≈ -1.3508

The probabilities that stock A will rise in price is 0.42 and that stock B will rise in price is 0.58. Further, if stock B rises in price, the probability that stock A will also rise in price is 0.14. a. What is the probability that at least one of the stocks will rise in price? (Round your answer to 2 decimal places.)

Answers

Answer:

0.92

Step-by-step explanation:

a. What is the probability that at least one of the stocks will rise in price? (Round your answer to 2 decimal places.)

P(A) = 0.42

P(B) = 0.58

P(A|B) = 0.14

Step 1

P(A|B) × P(B) = 0.14 × 0.58

= 0.0812

The probability that at least one of the stocks will rise in price

P(A) + P(B) - 0.0812

0.42 + 0.58 - 0.0812

= 1 - 0.0812

= 0.9188

Approximately to 2 decimal place = 0.92

A research center is interested in investigating the height and age of children who are between 5 to 9 years old. In order to do this, a sample of 15 children is selected and the data are given below. Age (in years) Height (inches) 7 47.3 8 48.8 5 41.3 8 50.4 8 51 7 47.1 7 46.9 7 48 9 51.2 8 51.2 5 40.3 8 48.9 6 45.2 5 41.9 8 49.6 How much of the variation in the sample values of height does the model estimate

Answers

Answer:

0.940

Step-by-step explanation:

Given the data:

Age in years(X) _____Height(Y)

7 _________ 47.3

8 _________48.8

5 __________41.3

8 _________ 50.4

8 ___________51

7 __________47.1

7 __________46.9

7 ___________48

9 __________51.2

8 __________51.2

5 __________40.3

8 __________48.9

6 __________45.2

5 __________41.9

8 __________49.6

The proportion of Variation explained by the line of best fit in a regression model can be determined by calculating the Coefficient of determination (R²) of the model.

Using the online R² calculator, the variation in the sample values of height which is estimated by the model is 0.9696² = 0.94012416.

Hence about 0.94 or 94% variation in sample values of height is estimated by the model while (1 - 0.94 = 0.06 or 6%) is explained by other factors.

Can someone help me solve this?

Answers

Answer:

2313

Step-by-step explanation:

is -4 greater,less than or equal to +4 ?​

Answers

Less than.

The sequential order would be -4, -3, -2, -1, 0, 1, 2, 3, 4

The cost of parking a motor home in a state park includes a one time fee of $180, plus a daily rate of $55 per day. Anthony prepaid for his stay and paid the state park commission a fee of $565. This paid for the one time fee as well as for a number of days. How many days of parking did Anthony pay for? Group of answer choices

Answers

Answer:

Anthony paid for 7 days of parking.

Step-by-step explanation:

From the information given, the cost of parking a motor home in a state park would be equal to the one time fee plus the result of multiplying the daily rate for the number of days:

c=180+55x, where c is the cost of parking the motor home and x is the number of days.

Now, you can replace c with 565 that is the amount Anthony prepaid and you can solve for x to be able to find the number of days he paid for:

565=180+55x

565-180=55x

385=55x

x=385/55

x=7

According to this, Anthony paid for 7 days of parking.

Which of the expressions below will have a 8 in the thousandths place of the quotient? Select all that apply.

A) 765.812 ÷ 100
B) 98.14 ÷ 1,000
C) 18.723 ÷ 100
D) 22.38 ÷ 10

Answers

I’m pretty sure it’s A. Sorry if it’s not. :(

Answer:

A

Step-by-step explanation:

Compute a 99% confidence interval for the mean weight of toxic substance per gram of mold culture. State the assumption you make about the population.

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

The  99% confidence interval is  [tex]2.4309 <  \mu <   4.9328[/tex]

Step-by-step explanation:

From the question we are told that

   The data is   3, 2,5, 3, 2, 6, 5,4.5, 3, 3, and 4

    The sample size is  n  =  11

Generally the sample mean is mathematically represented as

     [tex]\= x  =  \frac{\sum x_i}{n}[/tex]

=>  [tex]\= x  =  \frac{3+ 2+5+ \cdots +4 }{11}[/tex]

=>  [tex]\= x  =  3.6818 [/tex]

Generally the sample standard deviation  is mathematically represented as

    [tex]\sigma  =  \sqrt{\frac{\sum [ x_i - \= x ] }{n} }[/tex]

=>  [tex]\sigma  =  \sqrt{\frac{[ 3 - 3.6818 ]^2 +[ 2 - 3.6818 ]^2 + \cdots + [ 4 - 3.6818 ]^2   }{11} }[/tex]

=>  [tex]\sigma  =  1.3091[/tex]

Given that the confidence interval is 99% then the level of significance is mathematically represented as

         [tex]\alpha= (100 - 99) \%[/tex]

=>      [tex]\alpha= 0.01[/tex]

Given  that the sample size is small we will making use of t distribution table  

Generally from the t distribution table the critical value  of   at a degree of freedom of  is  

   [tex]t_{\frac{\alpha }{2} , 10 } =3.16927267   [/tex]

Generally the margin of error is mathematically represented as  

      [tex]E =  3.16927267  *  \frac{1.3091 }{\sqrt{11} }[/tex]

     [tex]E = 1.251[/tex]

Generally 99% confidence interval is mathematically represented as  

      [tex]3.6818 -1.251 <  p < 3.6818 + 1.251 [/tex]

=>    [tex]2.4309 <  \mu <   4.9328[/tex]

A recipe calls for 18 ounces of cream cheese with 15 ounces of sugar." How many ounces of cream cheese are there per ounce of sugar?
PLEASE HELP

Answers

Answer:

1.2

Step-by-step explanation:

Just divide

Answer:

1.2

Step-by-step explanation:

Divide 18 by 15 and get the answer.

solve ??? If any1 can

Answers

Answer:

125

Step-by-step explanation:

180-75-50=55 180-55=125

Answer:

s=130

Step-by-step explanation:

the flat line is 180 so to find out S you have to subtract 50 from 180

hope this helps:)

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