Cups are sold in packages of 8. Napkins are sold in packages of 12. What is the fewest number of packages of cups and the fewest number of packages of napkins that can be purchased so there will be the same number of cups as napkins? Hint**- What will you need to find GCF or LCM?

Answers

Answer 1

Answer:

24 packages

Step-by-step explanation:

Given

Represent Napkins with N and Cups with C

[tex]C = 8's[/tex]

[tex]N = 12's[/tex]

Required

Determine the smallest amount of N and C that will be equal

To do this, we simply calculate the LCM of N and C as follows:

List out the multiples of each..

[tex]C = 8,16,24,30....[/tex]

[tex]N = 12,24,36,48...[/tex]

The common multiple between both is 24.

Hence, 24 packages of N and C answers the question


Related Questions

6+ 9х2 + 32 - 410 - 95 - 5
ОА. 10
ОВ. 9
Ос. 4
OD. 6

Answers

Answer:

D its really basic math you can also just do it in a calculator lel


What is the 10th term of the sequence 729, 243, 81, 27...? Enter any rational answer
in the form a/b or round to the nearest thousandth.

Help please.

Answers

Answer:

The 10th term of the sequence is:

[tex]a_{10}=\frac{1}{27}[/tex]

Step-by-step explanation:

Given the number

729, 243, 81, 27...

A geometric sequence has a constant ratio 'r' and is defined by

[tex]a_n=a_0\cdot r^{n-1}[/tex]

Computing the ratio of all the adjacent terms

[tex]\frac{243}{729}=\frac{1}{3},\:\quad \frac{81}{243}=\frac{1}{3},\:\quad \frac{27}{81}=\frac{1}{3}[/tex]

The ratio of all the adjacent terms is the same and equal to

[tex]r=\frac{1}{3}[/tex]

also

[tex]a_1=729[/tex]

Therefore, the nth term is computed by:

[tex]a_n=729\left(\frac{1}{3}\right)^{n-1}[/tex]

Putting n = 10 to find the 10th term

[tex]a_{10}=729\left(\frac{1}{3}\right)^{10-1}[/tex]

     [tex]=729\cdot \frac{1}{3^9}[/tex]

      [tex]=\frac{1\cdot \:729}{3^9}[/tex]

      [tex]=\frac{729}{3^9}[/tex]

      [tex]=\frac{3^6}{3^9}[/tex]

      [tex]=\frac{1}{3^3}[/tex]

[tex]a_{10}=\frac{1}{27}[/tex]

Therefore, the 10th term of the sequence is:

[tex]a_{10}=\frac{1}{27}[/tex]

     

PLEASEEE HELP NOBODY IS ANSWERING ME RIGHT ALSO I AM USING UP THE LAST OF MY PoiNTS TO ASK THIS QUESTION !!! Determine the vertex and the zeros of the function: y = (x – 1)2 – 25.

Answers

Answer:

D is the vertex

Step-by-step explanation:

What numbers make up the range of this relation: (7,5) (-3,2) (1,-1) (4,-6) (-2,4)?

Answers

Range: y values
Solution: {5,2,-1,-6,4}

Answer:

-6, -1, 2, 4, and 5.

Step-by-step explanation:

The range values are the y values, you should list them from least to greatest (or however the question states).

One batch makes 15 lemon bars and Josh ate 2. If Claire ate twice as many as him, how many lemon bars would be left from the batch? *

Answers

Answer:

There are 9 lemon bars left from the batch.

Step-by-step explanation:

One batch = 15 lemon bars

Josh: ate 2 lemon bars

[tex]15 - 2 = 13[/tex]

13 lemon bars remaining.

Claire: ate twice as many as Josh

Meaning: 2 × 2 = 4

[tex]13 - 4 = 9[/tex]

9 lemon bars remaining.

There are 9 lemon bars left from the batch.

find the slope of the line y = -2x + 3​

Answers

Answer:

Step-by-step explanation:

Which is equivalent to V1,215' ?
0 243
O 1,2155
O 1,2153
o 243 *
2437

Answers

The equivalent answer is 1,2154

What is the correct answer?

Answers

Answer:

the second one

Step-by-step explanation:

Answer:

the second answer -&- -&-

1. Is this a function? (answer Yes, or No) 2. Find the Domain. 3. Find the Range ​

Answers

Answer:

Step-by-step explanation:

yes it is a function

Determine the number of lines of symmetry for the figure

Answers

10 is the right answer

The slope of the line is
5
1
.
Which statement best describes the meaning of the slope?

Answers

Answer:

Step-by-step explanation:

as you see in the graph, the correct choice is the first one

The answer is A

For every 1 tablespoon, there are 5 grams of protein!

I jogged for 2hr 12 min how many total min did I jog

Answers

Answer:

132 min

Step-by-step explanation:

1 hour is 60 min so the total time is

2*60 + 12 = 132

Answer:

132 minutes

Step-by-step explanation:

In the first quadrant, you start at (7,4)
and move 4 units left

What point will you end on?

Answers

Answer:

7

Step-by-step explanation:

From O(7,4), when you move a point 4 units left, abscissa decreases by 4,i.e it becomes 3 and when you move a point 3 units up, ordinate increases by 3,i.e it becomes 7.

characterize the slope of the line in the graph

Answers

Answer:

Please check the attached graph.

Step-by-step explanation:

Note: You did not add the graph; so I am taking a sample graph to clear the concept anyway. Please check the referred graph attached below.

The slope on the graph basically tells us the time rate of change.

In other words, it describes the steepness of a straight line.

The slope can also be termed as:

Slope = rise / run

From the attached graph, taking twp points

(0, 3)(-1, 0)

Finding the slope between (0, 3) and (-1, 0) using the formula

[tex]\left(x_1,\:y_1\right)=\left(0,\:3\right),\:\left(x_2,\:y_2\right)=\left(-1,\:0\right)[/tex]

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{0-3}{-1-0}[/tex]

[tex]m=3[/tex]

Thus, the slope of the given line on the graph = m = 3

how do u do this or explain whats going on in the problem​

Answers

Answer:

its just the congruency rules .

you had to explain them using the rules

Step-by-step explanation:

which shows the rational expression written using the least common denominator x-2/x^3 + x+1/2x^3

Answers

Answer:

x=2 I think

Step-by-step explanation:

I'm not sure tho

What value of "x" makes the equation below true?
-15 + (-5x) = 0

Answers

Answer:

-3

Step-by-step explanation:

x is negative, we need x to be negative as well in order to get to 0. Therefore, x has to be -3.

Order each set of measures from greatest to least 1) 1.2 cm, 0.6 in, 0.031 m, 0.1 ft 2) 2 lb, 891 g, 1 kg, 0.02 T 3) 1 1/4 c, 0.4 L, 950 mL, 0.7 gal 4) 4.5 ft, 48 in., 1.3 m, 120 cm

Answers

Step-by-step explanation:

1) 1.2 cm, 0.6 in, 0.031 m, 0.1 ft

The relationship between the units is given as;

m > ft > in > cm

Upon converting the rest units to the lowest;

0.6 in = 1.524 cm

0.031 m = 3.1 cm

0.1 ft = 3.048 cm

The order is given as;

0.031 m > 0.1 ft > 0.6 in > 1.2 cm

2) 2 lb, 891 g, 1 kg, 0.02 T

2 lb = 907.185 g

1 kg = 1000 g

0.02 T = 20000 g

The order is given as;

0.02 T >  1 kg > 2 lb > 891 g

3) 1 1/4 c, 0.4 L, 950 mL, 0.7 gal

0.4 L = 400 mL

0.7 gal = 2649.79 mL

11/4 c = 650.6177 mL

The order is given as;

0.7 gal > 11/4 c > 950ml > 0.4 L

4) 4.5 ft, 48 in., 1.3 m, 120 cm

The relationship between the units is given as;

m > ft > in > cm

Upon converting the rest units to the lowest;

4.5 ft = 137.16 cm

48 in = 121.92 cm

1.3 m = 130 cm

The order is given as;

4.5 ft > 1.3 m > 48 in > 120 cm

Plz, Help me with this question.

Answers

Answer:

B

Step-by-step explanation:

Answer:the answer is B

Step-by-step explanation:

What is the difference from the origin to point A graphed on the complex plane below?

Answers

Answer:

Origin is applicable for coordinate system. Distances are measured from origin and at a particular point distances are expressed in the form of coordinates.

Step-by-step explanation:

Write the equation of this line in slope intercept form

Answers

Answer:

y = -10x + 60

Step-by-step explanation:

slope: rise/run = 10/-1x = -10x

y-intercept: 60

equation: y = mx + b,

y = -10x + 60

Ace Carlos

Answer:

y=-10x+60

Step-by-step explanation:

your first point is at 60

and it's going down by 10

The average rainfall in inches in Miami from January to May is 1.61, 2.24, 2.99, 3.15, 5.35, and 9.68 while it is 2.24, 2.8, 3.03, 2.05, 2.09, and 6.69 during the same period in Tampa. Which city gets more rain and how much more?

Answers

Answer:

Miami gets 6.12 inches more rainfall.

Step-by-step explanation:

Given that the average rainfall (in inches) in Miami for 5 months are 1.61, 2.24, 2.99, 3.15, 5.35, and 9.68,

So, the total rainfall in Miami in 5 months,

R_M = 1.61 +2.24 +2.99 +3.15 +5.35 + 9.68 = 25.02 inches

and the average rainfall (in inches) in Tampa for 5 months are 2.24, 2.8, 3.03, 2.05, 2.09, and 6.69.

The total rainfall in Tampa in 5 months,

R_T = 2.24 +2.8 +3.03 + 2.05 + 2.09 + 6.69 = 18.9 inches.

The difference between the total rainfall in Miami and Tampa is 25.02-18.9= 6.12 inches.

The total rainfall in Miami is 25.02 inches while the total rainfall in Tampa in the same time period is 18.9 inches.

Therefore, Miami gets 6.12 inches more rainfall during the same time period.

Zayed is helping his classmates get ready for their math test by making them identical packages of pencils and calculators.
He has 72 pencils and 24 calculators and he must use all of the pencils and calculators.
If Zayed creates the greatest number of identical packages possible, how many pencils will be in each package?

Answers

Answer: 3 Pencils

Step-by-step explanation:

In order to know how many packages Zayed can make, we need a number that is a factor of 72 and 24, so that the 72 pencils and the 24 calculators can be divided evenly.

So, if there wre 2 packages, there would be 72 / 2 = 36 pencils 24/ 2= 12 calculators in each package. This creates packages, but isn't the gratest number of packages!

To find the greatest number of identical packeges, we want to found the greatest common factor of 72 and 24

To do so, lets find the factors of 72 and 24

72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

24: 1, 2, 3, 4, 6, 8, 12, 24

the gratest common number factor of 72 and 24 is 24. in math notation this looks like:

gcf (72, 24)=24

the gratest number of identical packages can make is 24

To find the umber of pencils in each pacage, we need to dovide the total number of pencils by the number of pakages:

72 / 24 = 3.

there will be 3 pencils each package

will mark brainliest if answer is correct

Answers

Answer:

1 is non proportional

2 is proportional

3 is not proportional

Answer:

1. not proportional

2. unit rate = 2.19

3. unit rate = 0.4

solve for x . Please help !

Answers

Answer:

x = 12.489996 ft

Step-by-step explanation:

In order to solve one side length of a right triangle given two of other side lengths, you can use the pythagorean theory.

The theory states that the sum of the two adjacent side squares equals the square of the hypotenuse.

Basically:

[tex]x^2 + y^2 = h^2[/tex]

Since the problem gives you the hypotenuse and one adjacent side length you rearrange the formula as so:

[tex]x^2 = h^2 - y^2[/tex]

[tex]x=\sqrt{h^2 - y^2}[/tex]

Then plug in the values:

[tex]x = \sqrt{16^2 - 10^2} = \sqrt{256-100}=\sqrt{156} = 2\sqrt{39}=12.489996[/tex]

What is the approximate value of x in the equation below?

log Subscript 5 Baseline 15 = x + 3
–2.523
–1.317
2.880
7.485

Answers

9514 1404 393

Answer:

  -1.317

Step-by-step explanation:

  [tex]\log_5{15}=x+3 \qquad\text{given}\\\\ \dfrac{\log{15}}{\log{5}}=x+3 \qquad\text{change of base formula}\\\\x=\dfrac{\log{15}}{\log{5}}-3 \qquad\text{subtract 3}\\\\x\approx\dfrac{1.17609}{0.69897}-3\approx 1.683 -3\\\\ \boxed{x\approx -1.317}[/tex]

Answer:

-1.317

Step-by-step explanation:

Edge 2020

Find f(3) if
f(x)=x^3 + 2x^2-x-1

Answers

Answer:

[tex] \underline{ \boxed{f(3) = 41}}[/tex]

Step-by-step explanation:

[tex] if \to \: f(x)=x^3 + 2x^2-x-1 \\ then \: f(3) = {3}^{3} + 2( {3)}^{2} - 3 - 1 \\ f(3) = 27 + 18 - 4 \\ f(3) = 41[/tex]

Write an equation for the line parallel to the given line that contains C.
C(2,8); y = - 2x + 1
y =

Answers

Okay!

Whenever a line is parallel to another, that means they ALWAYS have the same slope!

So the slope of our new line is -2 as well !

Now let's use point C (2, 8) to find the y-intercept!

This is easy! All we need to do is plug the point in our new equation!

Remember that in point C, 2 = x    and 8 = y

Time to plug in all these numbers in y = mx + b

8 = -2 (2) + y intercept

→ the 8 is in the y's place

→the -2 is in the slope place

→2 is in the x place

Now we solve for the y-intercept using basic math!

8 = -2(2) + y-intercept

8 = -4 + y-intercept

8 + 4 = y-intercept

We did it! We found the y-intercept

The y-intercept is 12!

Now let's create our final equation ...

y = -2x + 12

Answer!?______________

Answers

Answer:

collen

Step-by-step explanation:

7% is 63c so 6% would be 54c

in turn collen pays more

Answer:

Brad pays less tax. He pays $0.08 more

Step-by-step explanation:

Collen pays $1.40 towards sales tax

Brad pays $1.32 towards tax

Which polynomial identity will prove that 49 − 4 = 45?

Answers

Answer:
Option A is correct
Difference of squares identity should be used to prove 49-4 =45
Step-by-step explanation:
Prove that : 49 - 4 = 45
Polynomial identities are just equations that are true, but identities are particularly useful for showing the relationship between two apparently unrelated expressions.
Difference of the squares identity:
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