Party. Elena is buying cups and plates for her party. Cups are sold in packs of 8 and plates are sold in packs of 6. She wants to have the same number of plates and cups.
Find a number of plates and cups that meet her requirement.

How many packs of each supply will she need to buy to get that number?

Name two other quantities of plates and cups she could get to meet her requirement.

​Tiles. A restaurant owner is replacing the restaurant’s bathroom floor with square tiles. The tiles will be laid side-by-side to cover the entire bathroom with no gaps, and none of the tiles can be cut. The floor is a rectangle that measures 24 feet by 18 feet.
What is the largest possible tile size she could use? Write the side length in feet. Explain how you know it’s the largest possible tile.

How many of these largest size tiles are needed?

Name more tile sizes that are the whole number of feet that she could use to cover the bathroom floor. Write the side lengths (in feet) of the square tiles.

Stickers. To celebrate the first day of spring, Lin is putting stickers on some of the 100 lockers along one side of her middle school’s hallway. She puts a skateboard sticker on every 4th locker (starting with locker 4), and a kite sticker on every 5th locker (starting with locker 5).
Name three lockers that will get both stickers.
After Lin makes her way down the hall, will the 30th locker have no stickers, 1 sticker, or 2 stickers? Explain how you know.

Kits. The school nurse is assembling first-aid kits for the teachers. She has 75 bandages and 90 throat lozenges. All the kits must have the same number of each supply, and all supplies must be used.
What is the largest number of kits the nurse can make?
How many bandages and lozenges will be in each kit?

What kind of mathematical work was involved in each of the previous problems? Put a checkmark to show what the questions were about.

Evaluation: What Kind of Problem?
1. For each problem, tell whether finding the answer requires finding a greatest common factor or a least common multiple. You do not need to solve the problems.
a. Elena has 20 apples and 35 crackers for making snack bags. She wants to make as many snack bags as possible and wants each bag to have the same combination of apples and crackers. What is the largest number of snack bags she could make?

b. A string of holiday lights at a store has three colors that flash at different times. Red lights flash every fifth second. Blue lights flash every third second. Green light flashes every four seconds. The store owner turns on the lights. After how many seconds will all three lights flash at the same time for the first time?

c. A florist orders sunflowers every 6 days, starting from the sixth day of the year, and daisies every 4 days, starting from the fourth day of the year. When (or on which day) will she order both kinds of flowers on the same day?

d. Noah has 12 yellow square cards and 18 green ones. All the cards are the same size. He would like to arrange the square cards into two rectangles—one of each color. He wants both the yellow and green rectangles to have the same height and to be as tall as possible. What is the tallest possible height for the two rectangles?

2. Explain how you know which problem(s) involves finding the greatest common factor.

Answer:

Plain is $7 and Holiday is $15

Step-by-step explanation:

Castel: 2p + 5h = 89

Kali: 9p + 10h = 213

Double Castel's: 4p + 10h = 178

Subtract fro Kali's   9p + 10h = 213

                              - 4p + 10h = 178

5p = 35

p = 7  Plain is $7

Substitute 7 into one of the equations and solve for h:

2(7) + 5h = 89

14 + 5h = 89

5h = 75

h = 15  Holiday is $15

The kind of symmetry that it forms is vertical line symmetry, only

Line of symmetry is the line that. divides a figure into two equal halves. The axis of the shape which divides the shape into two identical halves, vertically, is called a vertical line of symmetry.

According to the word given TOOT, this word can only form mirror images of each other along the y-axis TO | OT, hence the kind of symmetry that it forms is vertical line symmetry, only

Learn more on vertical line symmetry here: https://brainly.com/question/1527799

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The number 1000 represents the amount of trash originally in the landfill.

Given that,

The same amount of trash is dumped into a landfill every day.

The function below shows the total number of tons of trash n in the landfill after x days:

n = 2000x + 1000

We have to determine,

What does the number 1,000 represent?

According to the equation,

The function is,

n = 2000x + 1000

The initial value of a function is defined as the started value of the function independent of any variables present in the function.

Here, n represent the amount of trash and x represents the number of days.

Therefore,

n = 2000x + 1000

In the equation 1000 is the number of days elapsed and 2000 represents the quantity of trash dumped each day.

Hence, The number 1000 represents the amount of trash originally in the landfill.

For more information about Equation refer to the link given below.

https://brainly.com/question/7383794

The correct answer would be A, the amount originally in the landfill.

Answer:

The lizard is 11.43 centimeters long.

F(4)4 is the x value 4. Find where the line is on th y axis at x = 4

The dot is between 60 and 70 so the answer would be 64

Answer: D. 64

Answer:

the answer is d

Step-by-step explanation:

if you look on the graph where the x-value equals 4, the y-value of that point is your answer and d is the only value in that range

Answer:

what grade are you??.......

Answer:

15

Step-by-step explanation:

The median is the "middle" number between a range of numbers. In this question, 15 is the median because is the number that is between the minimum number (5) and the maximum number (19) Hope this helps :)

Answer:

  (a)  Line 1

Step-by-step explanation:

The given point is only a solution to the equation for Line 1. This is shown in the attached graph.

__

You can put those values into each equation to see if it is satisfied.

1: -4 +2 = -2 . . . . this equation is satisfied.

2: 3(-4) -(2) = -14 ≠ 2 . . . . this equation is not satisfied

(-4, 2) is a solution to the Line 1 equation only.

Answer:

x-intercept = 3, 0

y-intercept = 0, -4

Step-by-step explanation:

Answer:

Step-by-step explanation:

3(m-2)+2(m-2)

3m-6+2m-4

3m+2m-6-4

5m-6-4

5m-10

The expressions 3(m-2)+2(m-2) and 50m-2 are not equivalent expressions.

After simplifying the first expression 3(m-2)+2(m-2) in part (a), we got 5m-10, which is different from the second expression, 50m-2.

Answer:

$108.50 for the 30% off an 1 hour and 35 min without the coupon 155 x 0.3 = 46.5. 155-46.5=108.50

Answer:

25/50 + 13/26

Step-by-step explanation:?????Not sure, please have someone else answer i dont want to be the cause of your incorrect answer:(

Answer:

A

Step-by-step explanation:

This is because it is discounting however in the others it's increasing VAT=Value added Tax,

gain, 45-25=£20 profit therefore it's A.

Answer:

Gadget of 5000 with 5% discount price

Step-by-step explanation:

This is the only option with a discount, not an additional extra on top.

======================================================

Explanation:

There are two approaches.

Method 1)

20% of 40 = 0.20*40 = 8

Since 8 students are participating, this means 40-8 = 32 are not participating.

-----------

Method 2)

20% are participating, so 100% - 20% = 80% are not participating

80% of 40 = 0.80*40 = 32

Answer:

390 inches long

Step-by-step explanation:

The string = x

[tex]\frac{x}{30} = 13[/tex]

[tex]30 (\frac{x}{30} ) = 30(13)[/tex]

    x = 390 inches

Answer:

A≈228.13in²

Step-by-step explanation:

Using the formulas

A=4πr2

V=4

3πr3

Solving forA

A=π⅓(6V)⅔=π⅓·(6·324)⅔≈228.12916in²

that's the answer

Answer:

A≈228.13in²

Step-by-step explanation:

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

✌️❤️✌️

Answer:

48 g - 40 h + 64

Step-by-step explanation:

you take the 8 and multiply it by the numbers that are in the paraentheses. keep the variables the same

Answer:

The second number is 90.

Step-by-step explanation:

The first statement isn't at all helpful when you start the problem.  Three numbers add up to 185.  Big deal.  Hold that thought for later.

You need a place to start:  think about some quantity to assign a variable name (letter) to.   Look at the second statement.

The second number is 5 times the first.  If  x  represents the first number, then 5 times that is 5x.  So far, you have this:

x = first number

5x = second number

Next:  The third number is 13 less than the second number.  "13 less than" means to subtract 13 from something.  But what?  The second number.

5x - 13 = third number

Now the first statement is useful.  All three numbers add up to 185.

x + 5x + (5x - 13) = 185

Combine like terms.

11x - 13 = 185

Add 13.

11x = 198

Divide by 11.

x = 18

Wait!  Trick question.  The problem asks for the second number, not the first.

5x = 5(18) = 90

Using the hypergeometric distribution, it is found that there is a 0.0002 = 0.02% probability that 4 of those containers are the same flavor.

The flavors are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability of choosing all containers of one flavors is P(X = 4).

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 4) = h(4,52,5,4) = \frac{C_{4,4}C_{48,1}}{C_{52,5}} = 0.000018469[/tex]

13 x 0.000018469 = 0.0002

0.0002 = 0.02% probability that 4 of those containers are the same flavor.

A similar problem is given at https://brainly.com/question/25743676

The probability that 4 of those containers are the same flavor is 0.02% and this can be determined by using the Hypergeometric distribution.

Given :

The probability according to the Hypergeometric distribution is given by:

[tex]\rm P(X=x) = h(x,N,n,k)=\dfrac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]     --- (1)

where the total number of successes is 'x', population size is 'N', the sample size is 'n', and the total number of desired outcomes is 'k'.

Now, substitute the values of known terms in the expression (1).

[tex]\rm P(X=4) = h(4,52,5,4)=\dfrac{C_{4,4}C_{48,1}}{C_{52,5}}[/tex]

[tex]\rm P(X=4) =0.000018469[/tex]

Now, multiply the above result by 13.

[tex]13\times 0.000018469=0.0002[/tex]

So, the probability that 4 of those containers are the same flavor is 0.02%.

For more information, refer to the link given below:

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It would be √2 x n - 5 = 10.

The slash is an oblique slanting line punctuation mark /. Once used to mark periods and commas, the slash is now most often used to represent exclusive or inclusive or, division and fractions, and as a date separator.

Step-by-step explanation:

7x - 3x=5 + 7

we will plus --

10x =12

x=12÷10 or 10 /12

x=12.2

Answer:

$7.50 per hour

Step-by-step explanation:

after 2 hours, she earns $15

after 4 hours, she earns $30

after 8 hours, she ears $60

15/2 = 30/4 = 60/8 = 7.5/1

Answer:

a = 6

b = 3/4

Step-by-step explanation:

They both need to have the same slope.

The slope in the first equation is 6

That means that the second equation must have a = 6

They both need to have the same y intercept

The second equation has a y intercept of 3/4

Therefore b in the first equation, must be 3/4

Using proportions, it is found that the old minimum wage was of $8.50.

The equation for the relationship between these wages is:

[tex]1.029412x = 8.75[/tex]

[tex]x = \frac{8.75}{1.029412}[/tex]

[tex]x = 8.50[/tex]

The old minimum wage was of $8.50.

To learn more about proportions, you can take a look at https://brainly.com/question/24372153