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 1

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


Related Questions

Find the coefficient of correlation between and X and Y if covariance between X and Y is 15 and the variance of X and Y are respectively 10 and 25

Answers

Answer:

0.95

Step-by-step explanation:

[tex]Correlation \ coefficient \ (r) = \dfrac{covaraince \ between \ X \ and \ Y }{SD_X \times SD_Y }[/tex]

[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{10^{1/2} \times 25^{1/2} }[/tex]

[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{3.162 \times 5 }[/tex]

[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{15.81 }[/tex]

[tex]Correlation \ coefficient \ (r) \simeq 0.95[/tex]

Pleaseeeee helpppp !!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

x = 6

Step-by-step explanation:

This means that they are equivalent to each other.

10 = 30 *Multiply by 3

2 = x

Since we multiplied by 3 to get 30, x is just 2 mulitplied by 3.

x = 6

Answer:

Hi

the answer would be:

10/40 = 2/2+x => if you solve the equation, it'll be equal to : x = 6

I hope that it's correct.

Step-by-step explanation:

1.) Jahmal had a $10,000 loan. He still owes $5,275. He had to pay 15% interest up front on to get
the loan. How much total money has Jahmal already paid on the loan?
A.) $4,725
B.) $6,225
C.) $5,550
D.) $709
I need help and please explain what you did. Thank you!

Answers

Answer:

C or A

Step-by-step explanation:

Find the solution to the systems of equations using the elimination method.
2x + 3y = 11
5x + 3y = 14

Answers

Answer:

x=1

Step-by-step explanation:

-3x=-3

what abiotic factor is changing the ecosystem of Lake Washington,and how has this factor changed over time.​

Answers

Answer:

Step-by-step explanation:

Temperature is the abiotic factor that is changing the ecosystem. Both the top layer temperature and the overall temperature of the lake are increasing. The warmer temperatures have delayed the yearly springtime mixing of warm and cold water in the lake.

what one is going slower​

Answers

Car A is going slower
Car A because the slope is slower you can tell by how fast B is going up

What is the answer for (3x - 9)

Answers

Answer:

3(x−3) I think that is right I am not sure

Step-by-step explanation:

If you need to factor then the answer should be 3(x-3)

HELP PLEASE HELP!!!!!

Answers

(i): A triangle where all three sides are equal and the same.

(ii): A triangle where all three sides are unequal in length.

(iii): A triangle that has two sides of equal length.

(iv): A triangle where all three internal angles are acute(they measure less than 90 degrees.

(v): A triangle where all three internal angles are obtuse(measure above 90 degrees).

(vi): A triangle where one internal angle is a right angle(90 degrees).

Hope this helps

Answer:

(i): A triangle where all three sides are equal and the same.

(ii): A triangle where all three sides are unequal in length.

(iii): A triangle that has two sides of equal length.

(iv): A triangle where all three internal angles are acute(they measure less than 90 degrees.

(v): A triangle where all three internal angles are obtuse(measure above 90 degrees).

(vi): A triangle where one internal angle is a right angle(90 degrees).

Hope this helps

Step-by-step explanation:


What is the answer? I need help on this and it’s not popping up on here

Answers

Answer:

The answer for this question is

Step-by-step explanation:

[tex]5x {}^{3} + 9 \div x \\ \\ [/tex]

Anyone good at math? will give brainlest to correct
A product goes from $25 to $27 in price.

The product has a percent increase of _____.

Answers

Answer:

8%

Step-by-step explanation:

27 - 25 = 2

2/25 x 100 = 8%

8% increase

answer is 8%

Answer:

8%

Step-by-step explanation:

2/25 is equal to 8/100 so therefore it is 8%

pls help meh ill give bainliest

Answers

Answer:

0.8

Step-by-step explanation:

rest all of them are 0.08

so correct answer is 0.8

hope it helps!

Answer :D

I would go with the 4th one becuase that number has diffrernt numbers then the other  ones have the same numbers.

Which statement for all trapezoids are true? Exactly one pair of opposite sides are parallel Diagonals are always congruent Opposite sides are always congruent

Answers

Answer:

Exactly one pair of opposite sides are parallel

Step-by-step explanation:

A trapezoid is a plane shape quadrilateral that has exactly one pair of its sides parallel.

The parallel sides must occur for it to be a trapezoid. If they do not, it is most likely another shape. They could occur between the top and bottom sides while the left and right sides remain non-parallel, or vice-versa.

The other options given do not fall into the description of a trapezoid, as its opposite sides and diagonals are not always congruent.

Josie has $30 to spend at a festival .It cost $5 to enter the festival and the game she wants to play cost $1.40 .Write the inequality and use it to determine the number of games that Josie can play

Answers

Answer:

At the maximum Josie can be 17 games.

Step-by-step explanation:

Given that:

Total money available with Josie to be spent at a festival = $30

Entry ticket for the festival = $5

Ticket for each game = $1.40

To find:

The inequality to represent the situation and the number of games that Josie can play.

Solution:

Ticket for 1 game = $1.40

Let [tex]n[/tex] number of games can be played.

So, Ticket for [tex]n[/tex] games = $1.40[tex]n[/tex]

Total money spent = $1.40[tex]n[/tex] + $5

It is should be lesser than or equal to $30.

[tex]1.40n + 5 \leq 30\\\Rightarrow 1.40n \leq 25\\\Rightarrow n \leq 17.8[/tex]

Therefore, at the maximum Josie can be 17 games.

Your bill at a restaurant is $36.00. How much tip should you leave if the average amount for a tip
is 15%?
Pls help meh

Answers

Answer:

I'de say about 5.40$ would be a good 15% tip

Step-by-step explanation:

Answer:

5.40

Step-by-step explanation

(I need the work too please!)
The yearly cost for cross-fit classes is $250 more than yoga classes. And, the
yearly cost for a gym membership is $100 more than yoga classes. Combined,
the cost for all the different plans are $1250. Determine the cost of the gym
membership, yoga, and cross-fit classes.

Answers

Answer:

I am not sure if this was the correct method to solve the question, however it gives the right results if you check it.

Step-by-step explanation:

3x+250+100=1250

3x= 900

x=300

yoga: 300, cross fit: 550 (300+250), gym: 400(300+100)

A square rug has a side length of x. A rectangular rug has a length that is 4 yards longer than the square rug and a width that is 2 yards shorter than the square rug. If the areas of the two rugs are equal, what is the length of the rectangular rug?

Answers

Answer:

8

Step-by-step explanation:

X²=(x+4)(x-2)

x²=x²+2x+4x-8

x²=x²+2x-8

x²-x²-2x=-8

2x=8

x=4

so the square rug is 4x4 and the rectangular rug is 8x2

At the beginning of the week, a stock was $82.73 per share.
On Monday, the stock gained $0.19 per share.

-On Tuesday, it gained $0.07 per share.

-On Wednesday, the stock lost $0.13 per share.

-On Thursday, it lost $0.25 per share.

On Friday morning, what was the price of the stock per share?

Answers

$82.87. You just add the first three to the starting price and subtract the last one

Find the volume of a hemisphere of radius 5 cm.​

Answers

Answer:

the volume of a hemisphere with a radius of 5 feet is 261.67 cubic feet.

Step-by-step explanation:

pls help meh with this <3​

Answers

Answer:

For the first one, 29,000 s, 29,500 s, and 29,999 s.

For the second one, no because the bookcase is taller than the doorway.

Oof hope I'm correct and was able to help <3

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

Answers

The equivalent answer is 1,2154

which expression is equivalent to 8x-12y+32

Answers

Answer:

2x-3y+4

Step-by-step explanation:

greatest commln factor is four so divide everything by four

Answer:

umm where are the option i will give you an answer but i dont see any option

Step-by-step explanation:

4(2x-3yplus8)

Your principal amount is $450 your interest rate is 6% and your time is 8 years what is your interest earned after eight years what is your new total amount earned after 8 years

Answers

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Principal= $450

Number of periods= 8 years

Interest rate= 6%

We will determine the interest earned and future value using simple interest and compound interest:

Simple interest:

I= P*r*t

I= 450*0.06*8= $216

Total Future Value= I + P

Total Future Value= 216 + 450= $666

Compound interest:

I= [P*(1+r)^t] - P

I= [450*(1.06^8)] - 450= $267.23

Total Future Value= P*(1+r)^t

Total Future Value= 450*1.06^8

Total Future Value= $717.23

Answer:

Step-by-step explanation:

6

A squirrel collected 45 acorns for winter and can hide 4 acorns in a single hole. How many holes will the squirrel need to dig to hide all the acorns?

Answers

Answer:

the squirrel needs to dig 12 holes.

Step-by-step explanation:

11 x 4 = 44, plus an extra hole for the one acorn left over.

Answer:
11.25 or 11 1/4

whichever answer depends on the rest of your answers, have you been using decimals or fractions?

if you’re using fractions, the answer is 11 1/4

if you’re using decimals, it’s 11.25

Colton is about to ride a straight water slide. The launching platform is at the top of a tower that is 8 meters tall. The splash pool at the end of the slide is 15 meters from the base of the tower. How long is the water slide itself? Show your work.

Answers

Answer:

The length of the water slide itself is 17 meters

Step-by-step explanation:

Here, we want to calculate the length of the water slide

from the description given in the question;

we have a right angled triangle where the height of the tower, the distance from the base of the tower and the length of the slide itself represents the sides of the triangle

From the description given in the question, the water slide length represents the slope of the right triangle formed

thus, mathematically by using Pythagoras’ theorem;

The square of the hypotenuse equals the sum of the squares of the two other sides

Let us call the length of the water slide y

y^2 = 8^2 + 15^2

y^2 = 64 + 225

y^2 = 289

y = √289

y = 17 meters

What is the coefficient of y^3 in the expansion of (y+3) raised to the 4th power?
A. 1
B. 6
C. 4
D. 3

Answers

The answer to this problem would be 3 because a coefficient is a whole number so the coefficient would be D. 3.

does this figure have symmetry?

A)
Yes, because if you fold it in half, both halves match up
b) No, because if you fold it in half, both halves do not match up.
c) No because if you rotate it 90 degrees, it does not carry onto itself.
D) Yes, because if you rotate it less than one full turn, the figure carries onto itself.

Answers

D) Yes, because if you rotate if less than one full turn the figure carries onto itself

Please I need help on this

Answers

Answer:

i cant see the picture that well

picture attached answer for brainlyest​

Answers

Answer:

x = 7.809

Step-by-step explanation:

21x + 16 - 16 = 180 - 16

21x/21 = 164/21

x = 7.809

It's timed plzzz help!!!

Answers

2A/p = a and I need 20 characters

Answer:

2A/p

the last option

Step-by-step explanation:

gl!!!

jason made 42 christmas cookies he gave half of them to his teacher he ate 1 third of them then gave 8 to his little sister how many do santa get

Answers

Answer:

and why did teacher ate it

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