Leon is posting 12 flyers for the science club and 18 for the music club. He wants to make all the locations identical, with the same combination of science club flyers. In addition, he wants to make sure that no flyers are left over. What is the greatest number of locations that Leon can post at?

Answers

Answer 1

Answer:

Leon will post 2 science club flyers in each location

Leon will post 3 music club flyers in each location

The greatest number of locations that Leon can post at is 6 locations

Step-by-step explanation:

Science club flyers = 12

Music club flyers = 18

He wants to make sure that no flyers are left over.

Find the highest common factor of 12 and 18

12 = 1, 2, 3, 4, 6 and 12

18 = 1, 2, 3, 6, 9 and 18

The highest common factor of 12 and 18 is 6

The greatest number of locations that Leon can post at is 6 locations

Science club flyers = 12

= 12 / 6

= 2

Leon will post 2 science club flyers in each location

Music club flyers = 18

= 18 / 6

= 3

Leon will post 3 music club flyers in each location

Leon will post 2 science club flyers in each location

Leon will post 3 music club flyers in each location

The greatest number of locations that Leon can post at is 6 locations


Related Questions

Giovanni justifies whether the expression -4x-8 is equivalent to -2(x+1)-2(x+3) by letting x=3 in both expressions. What is the value of each expression when x=3.
3 and -20
4 and 4
-20 and -20
3 and 4

Answers

Answer:

The value of each expression when x=3 will be -20 and -20.

Step-by-step explanation:

Given the expression

-4x-8

setting x=3

= -4(3)-8

=-12-8

=-20

Given the expression

-2(x+1)-2(x+3)

setting x=3

=-2(3+1)-2(3+3)

=-2(4)-2(6)

=-8-12

=-20

so we conclude that the value of both the expressions was -20 when we substituted the value x=3.

Therefore, the value of each expression when x=3 will be -20 and -20.

A worker is promised a salsry of 40000 per year. Ignoring deductions to the salary, find the amount the worker will receive if paid on a weekly, biweekly, or monthly basis

Answers

Answer:

$3,333.33 a month

$1,538.46 biweekly

$769.23 weekly

Step-by-step explanation:

40,000/12

40,000/26

40,000/52

Answer:

Division!

40000

40,000 ÷ 12 = 3,333.33 monthly

40,000 ÷ 26 = 1538.46 biweekly

40,000 ÷ 54 = 769.23 weekly

Brainliest appreciated

. Determine if the lines are parallel, perpendicular, or neither to the given line 24x + 12 y = 24
a. y = 3x – 5 b. y =5-x/3

Answers

Answer:

a -  neither b - perpendicular

Step-by-step explanation:

put them in desmos and look at the lines

please help me yall

Answers

the coordinates of D is (3,-1) i’m pretty sure if not i’m sorry.

Hal owns a printing company. Last Christmas, he charged $8 for a set of 25 greeting cards and $14 for a set of 50. a. Find two ordered pairs that represent the situation. (8,25) (14,50)

Answers

Answer:

(8, 25) and (14, 50)

Step-by-step explanation:

Total cost of a set of cards = price per unit x number of cards

                                             = p x n

Thus, the total cost of printing each set of cards depends on the price per unit and number of cards. So that it can be represented in ordered pair as: (p, n).

For the first set of greeting cards,

the cost of printing a card = $8.0

number of cards printed = 25

This can be represented in ordered pair as (8, 25)

                                                 

For the second set of greeting cards,

the cost of printing a card = $14.0

number of cards printed = 50

This can be represented in ordered pair as (14, 50)

Thus, the two ordered pairs that can represent the situations are (8, 25) and (14, 50).

I need to find the slope for the question: 6y-14x=2

Answers

Answer:

Step-by-step explanation:

In a triangle ABC,AB=5.8 cm BC=4.2cm and CA=3.6cm,name the greatest and smallest angles of the triangle.​

Answers

Step-by-step explanation:

c is greatest angle

where as b is smallest

what is the domain of the function
y =squarerpot of x​

Answers

Answer: [0,+infiniti)

Step-by-step explanation:

Solve the following system of equations using the elimination method. 9x – 5y = –16 and –3x + 7y = –16
A)

(–4,–4)

B)

(–2,–3)

C)

(4,4)

D)

(0,–5)

Answers

B) (-2,-3) you have to multiply one of the equations to eliminate one of the numbers..i multiplied -3x+7y=-16 by -3.

Answer (-2,-3)

Step-by-te exnation:

multiply the equation by number

A population of kangaroos is growing at a rate of 2% per year, compounded continuously. If the rate continues, how many years will it take of the population to reach 150% of its current size according to the exponential growth function?

Answers

Answer:

75 years.

Step-by-step explanation:

Divide 150 by 2, that gives you the years.

find 2 consecutive integers whose sum is -97

Answers

Answer:

The first integer is: -49

The second integer: -49+1 = -48

Solution Check:

-49+(-48) = -97

Step-by-step explanation:

Let the first integer: [tex]x[/tex]

As we are looking for a consecutive integer, so

The second integer would be: [tex]x+1[/tex]

We know the sum of these two integers is -97. Thus, we can write this equation and solve for 'x'.

[tex]x+\left(x+1\right)=-97[/tex]

[tex]x+x+1=-97[/tex]

[tex]2x+1=-97[/tex]

[tex]2x=-98[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}=\frac{-98}{2}[/tex]

[tex]x=-49[/tex]

Therefore,

The first integer is: -49

The second integer: -49+1 = -48

Solution Check:

-49+(-48) = -97

how many unique 3 digit codes can be created from the 5 digits {1, 2, 3, 4, 5} if repeats are possible?

Answers

Answer:

53

Step-by-step explanation:

5 choices × 5 choices × 5 choices = 53 possible 3 digit codes including repeats

 [tex]\boldsymbol{125}[/tex] unique [tex]3[/tex] digit codes can be created from the [tex]5[/tex] digits.

Number of arrangements

Given that digits are [tex]=\boldsymbol{\{1,2,3,4,5 \}}[/tex].

Number of digits [tex]=\boldsymbol{5}[/tex]

With repetition" means that repetition is allowed. Thus, in each of the three places, we have five choices.

Therefore,

Number of unique three digit codes can be created from the five digits [tex]=5\times 5\times 5[/tex]

[tex]=\boldsymbol{125}[/tex]

So, [tex]\boldsymbol{125}[/tex] unique [tex]3[/tex] digit codes can be created from the [tex]5[/tex] digits.

Find out more information about permutations here:

https://brainly.com/question/26852614?referrer=searchResults

please help, thank you
-4w – 4 = 8, w = ?

Answers

Answer:

-3

Step-by-step explanation:

Answer:

w = -3

Step-by-step explanation:

-4w - 4 = 8 (add 4 on both sides)

-4w = 12 (divide by -4 on both sides)

w = -3

Hope this helps!!

Rewrite the quadratic expression in vertex form by completing the square. You must show all work.
y = (x^2)-2x + 7

Answers

Answer:

[tex]f(x)=(x-1)^{2}+6[/tex]

Step-by-step explanation:

First, subtract 7 from each side.

[tex]-7=x^{2} -2x[/tex]

Now, add in a blank on each side so you can write in your new term that will complete the square. We'll call that term 's' for now.

[tex]-7+s=x^{2} -2x+ s[/tex]

The next step is to take half of the b term, and then square that. In this case, half of '[tex]-2[/tex]' is [tex]-1[/tex]. If we square that we get [tex]1[/tex]. So that is the term we will put in for [tex]s[/tex].

[tex]-7+1=x^{2} -2x+1[/tex]

Simplify:

[tex]-6=x^{2} -2x+1[/tex]

If you look at the right side of the equation, we can factor. That's because we completed the square. We can use the 'guess and check' method to factor. Remember, this is where we use 2 sets of parentheses and fill in the blanks.

[tex]-6=(x-1)(x-1)[/tex]

If we were to FOIL the right side we would end up with [tex]x^{2} -2x+1[/tex].  

Since we have 2 '(x-1)' terms next to each other, we can simplify to:

[tex]-6=(x-1)^{2}[/tex]

Now, all we need to do is add 6 to both sides and we have the vertex form.

[tex]f(x)=(x-1)^{2}+6[/tex]

I hope this helps!

A bee flies at 15 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 14 ​minutes, and then flies directly back to the hive at 9 feet per second. It is away from the hive for a total of 16 minutes. A. What equation can you use to find the distance of the flowerbed from the​ hive? B. How far is the flowerbed from the​ hive?

Answers

9514 1404 393

Answer:

  A) d/900 +14 +d/540 = 16

  B) 675 feet

Step-by-step explanation:

A) The times are all given in minutes, so it is convenient to use units of feet and minutes in this problem. There are 60 seconds in a minute, so the bee's speeds can be rewritten as ...

  15 ft/s = (15 ft/s)(60 s/min) = 900 ft/min

  9 ft/s = (9 ft/s)(60 s/min) = 540 ft/min

We know that time is the ratio of distance to speed, so for distance d, we have a total time of ...

  d/900 +14 +d/540 = 16

B) To solve the equation, we can subtract 14, then combine the fractions. Here, we choose to combine the fractions in a straightforward way, not being too concerned about "least common denominator." We use the formula ...

  a/b + c/d = (ad +bc)/(bd)

  (540d +900d)/(900·540) = 2 . . . . subtract 14, combine fractions

  d = 2(900)(540)/(1440) = 675

The flowerbed is 675 feet from the hive.

Write the equation of the line that has a slope of -3 and a y-intercept of 2 in slope-intercept form.

Answers

Answer:

Step-by-step explanation:

Well, the linear equation of a line is:

y=mx+b

Where  

m

is the slope and  

b

is your y-intercept

So, you can just plug the numbers into the equation

m = − 3

and  

b = − 2

y = − 3x-2

BRAINLIEST!! Please help me with the following riddle (its part of an assignment):
** Please don't search up any answers on Google or any other search engine, thank you :D

Which eight-letter word still remains a word after removing each letter from it?

Answers

Answer:

Hmm this is a fun question,

its

STARTING

This turns into: Starting, Staring, String, Sting, Sing, Sin, In, I

All of which are words

Step-by-step explanation:

Though, I know this is a common answer.

I am unsure if there are others .

The point P(x,y) lies in the terminal side of an angle theta= -60° in standard position. What are the signs of the values of x and y?

Answers

Answer:

Step-by-step explanation:

x is positive and y is negative

Answer:

(x,-y)

Step-by-step explanation:

Ok now these are my very last points please help

Answers

Answer:

wait what grade are you in ?

Which mathematical inequality represents the following statement?
Six times a number is greater than 3 less than 4 times the same number.

Answers

Answer:

6x > 3 < 4x

Step-by-step explanation:

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

help ASAP!!!!!!!! AHSHJABDJA

Answers

a) 9.006×10^-7

b) 2.8204 x 10^11

Dr. Osborne is studying a bacterial colony with a population of 30,000 bacteria. The colony is growing 5% per hour. How many bacteria will the colony contain in 4 hours?

Answers

Answer:

36,465.1875

Step-by-step explanation:

The colony grows by 5% each hour, so you take the current total of bacteria, (100%) and add 5%. Every hour, you multiply the current total by 105%.

Hope this helps :)

Find the quadratic equation whose roots are
1/2 and 1/-3​

Answers

(X - 1/2)( X + 1/3) = 0
Use distributive property
X^2 + 1/3x -1/2x -1/6
X^2 - 1/6x - 1/6

Ezra has 4 quarts of lemonade, but wants to serve the lemonade in cups. How many cups does he have?

I NEED HELP NOW PLEASE

Answers

The answer is 16 cups
i believe the answer is 16 cups

PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

9514 1404 393

Answer:

  7/3

Step-by-step explanation:

The point at the right end of segment 5 is 7 units above and 3 units to the right of the point at the left end. The slope is the "rise" divided by the "run":

  slope = m = rise/run = 7/3

The slope of segment 5 is 7/3.

S.
If the selling price of an article is
4/5th of its cost price, find the loss percent​

Answers

Answer:

1-4/5

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

4/5 = 80

80 is the price percentage.

5/5 - 4/5 = 1/5

1/5 = 20

so, 20%

3(4a + 2) = 2(a - 2)?

Answers

Answer:

A= -1

Step-by-step explanation:

Tony has a 44 inch shelf. The 2 cups shown on the
shelf are each 4 in. wide. Tony wants to place
additional cups that are each 2 1/4 in. wide on the
remainder of the shelf.
1
44 in.
Approximately how many more cups can Tony
place on the remainder of the shelf?
11
19
16

Answers

Answer:

C. 16

Step-by-step explanation:

If you have 44 in space and 2 cups already on there ( 4 in) you now only have, 36 in space left.

So, 16 multiplied by 2 1/4 or 2.25 in decimal is 44 in total.

Therefore you need approximately 16 more cups.

Brainliest pls?

Find the value of the variable (simplify
your answer)​

Answers

Answer:

75√2

Step-by-step explanation:

The triangle is isosceles right angled.

y² = 75² + 75² = 2(75²)

y = 75√2

Find the slope of the line that passes through -2,8 and 0,8

Answers

Answer:

m=0

Step-by-step explanation:

8-8

0--2

0

2

0

The slope of the line that passes through points; -2,8 and 0,8 is; 0.

What is the slope of the line that passes through the points?

The slope of the lines that passes through the given points is required.

Hence, it follows that;

Slope, m = (8 - 8)/(0-(-2))

Slope= 0/2 = 0.

Read more on slope of a line;

https://brainly.com/question/2021687

#SPJ2

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