Item 21 A teacher is making identical activity packets using 92 crayons and 23 sheets of paper. What is the greatest number of packets the teacher can make with no items left over? Item 21 A teacher is making identical activity packets using 92 crayons and 23 sheets of paper. What is the greatest number of packets the teacher can make with no items left over?

Answers

Answer 1

Answer:

The greatest number of packets the teacher can make with no items left over is 23.

Step-by-step explanation:

Total number of crayons = 92

Total number of sheets of paper = 23

To find the greatest number of packets the teacher can make with no items left over, find Highest Common Factor (H.C.F) of 92 and 23

92 = [tex]2^2[/tex] × 23

23 = 23

So,

H.C.F(92,23) = 23

Therefore, the greatest number of packets the teacher can make with no items left over is 23.


Related Questions

1. SIMPLIFY EACH EXPRESSION:
8x2 - 7x + 4x3 - 2-3x2 + 9x - 4
5(7 + 3x) - 12
2[z + 3) + 3(5 – 3z)

Answers

Answer:

1. 8x2 - 7x + 4x3 - 2-3x2 + 9x - 4 = 16+2x

Step-by-step explanation:

1. Multiply all the multiplication problems (should look like this --> 16-7x+12-2-6+9x-4)

2. Calculate the sum or difference (should end up looking like this --> 16-7x+9x) and then into this (16 +2x)

Bringing us to the answer → 16 + 2x!

HELP ASAP PLZ!!!!!!!!

Solve this problem.
b - 6 < 4

Answers

Hi!

Your answer would be: 3(or 4, or 5)

but the main answer is 3.

Hope this helps!

Christine, Odys, and Ariela decided to go to the movie. They got a discount of $10 dollars online. The total ticket price is $14. What is the price of the movie ticket without the discount?

Answers

Answer:

$24

Step-by-step explanation:

discount is 10

price after discount is 14

so original price is 10 + 14 = 24

A restaurant needs to plan seating for a party of 150 people. Large tables seat 10 people and small tables seat 6. Let x represent the number of large tables and y represent the number of small tables. Write an equation in standard form to represent this situation.

Answers

Answer:

(0, 25) or (3, 20) or (6, 15) or (9, 10) or (15, 0)

Step-by-step explanation:

What is the x-intercept of the line 3x – 7y = 42?

Answers

Answer:

-6,0 i think if that is one of your options

Step-by-step explanation:

Answer:

The x-Intercept is (14,0) And the Y-Intercept is (-6,0)

Step-by-step explanation:

Hope this helps:)


Can someone please help me?

Answers

Answer:

The answer the first question is: Always acute

The answer to the second is: 65 degrees

Step-by-step explanation:

:P

#1: Always acute. #2: 65

Evaluate f(x) = 0.5x-4 for x=10

Answers

Answer:

f=-9

Step-by-step explanation:

For the points P and Q, find the distance d(P,Q) of the segment PQ. (3,4) , ( 7,7)

Answers

Answer:

[tex]d=5[/tex]

Step-by-step explanation:

Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in the 2 coordinates into the distance formula to find distance d:

[tex]d=\sqrt{(7-3)^2+(7-4)^2}[/tex]

[tex]d=\sqrt{(4)^2+(3)^2}[/tex]

[tex]d=\sqrt{16+9}[/tex]

[tex]d=\sqrt{25}[/tex]

[tex]d=5[/tex]

two sides of the triangle are 24 ft and 73 ft. Which of the following could by a side of the triangle A. 49 B. 22 C. 97 D.56


I really need help ​

Answers

Answer:

D.56

Step-by-step explanation:

The third side of the triangle is

73-24 < x< 73+24  by the Triangle Inequality Theorem

49 < x< 97

The only number between 49 and 97 is 56

which function is increasing ​

Answers

Answer:

B

Step-by-step explanation:

The numbers in the other functions are less than one which means that they are decreasing.  

A 5 pound bag of potatoes costs $3.78. How much would a 3 pound bag cost?

Answers

Answer:

About $2.27

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors.

Answer:

$2.27

Step-by-step explanation

First, find the unit price

3.78/5=.756

Then find the cost for 3 pound

.756X3=2.268

Round

$2.27 for 3 pounds

Hope this helped :)

Ali's latest photo got 42 likes. this is 3 times as many likes as kate's latest photo. how many likes did kate's photo get ?

Answers

Answer:

14

Step-by-step explanation:

14 becuase if it was 3 times as many as Kate got then you would have to do the opposite than what it is asking so you would have to divide and you would get 14

Ali do be famous doe lol

Answer:

Kate's photo got 14 likes

Step-by-step explanation:

42 divided 3 is 14

PLEASE ANSWER THIS FAST I'M TIMED!!!

Read this excerpt from When Birds Get Flu and Cows Go Mad! How Safe Are We?.

Getz, David. Purple Death: The Mysterious Flu of 1918. New York: Henry Holt, 2000.
This resource would help a reader better understand

the flu epidemic of 1918.
causes of the avian flu.
virus outbreaks around the world.
disease causing viruses.

Answers

Answer:

a, the flu epidemic of 1918

Step-by-step explanation:

cause when its called "The Mysterious Flu of 1918"

its not gonna be about causes of the avian flu, virus outbreaks around the world, or disease causing viruses.

Answer:

the answer

Step-by-step explanation:

Rosemary buys 3 pounds of ground turkey for $9.50. How much would she spend for 5 pounds?​

Answers

Answer:

15.83 dollars

Step-by-step explanation:

9.50/3 is 3.16

3.16*5 is 15.83 dollars

She spent 9.50 cents

The cost to purchase a song from iTunes is $1.29 per song. To purchase a song from
Napster, you must be a member. The Napster membership fee is $10. In addition, each
purchased song costs $1.19. How many songs must be purchased for the monthly price of
Napster to be the same as iTunes?

Answers

Answer:

It will take 100 purchased songs for iTunes and Napster to equal in price.

Step-by-step explanation:

iTunes: y=1.29x

Napster: y=1.19x+10

1.29x=1.19x+10

10=.10x

x=100

Both the football and volleyball teams have games today. The football team plays every 7 days. The volleyball team plays every 4 days. In how many days from now will both teams have games on the same day again?

Answers

Answer:

28 days

Step-by-step explanation:

football = 7 days

volleyball = 4 days

both= ?

7 x 4 = 28 days

f (2b) if f (x)= -2x + 4

Answers

Answer:

f(2b) = -4b + 4

Step-by-step explanation:

Step 1: Define

f(x) = -2x + 4

f(2b) is x = 2b

Step 2: Substitute and Evaluate

f(2b) = -2(2b) + 4

f(2b) = -4b + 4

Mara found the length of time of an investment. The principal of the investment was $4,300, the interest rate was 6.2 percent, and the interest was $2,666. Mara made an error in her work.

I = p r t. 2666 = (4300) (0.062) t. 2666 = (266.6) t. StartFraction 266.6 over 2666 EndFraction = t. 0.1 = t.

Answers

well, 6.2% of 4,300 can't be over half. she has made a calculation error, and the real answer is (this is where the mistake was made) 4,300 * 0.062 (not 6.2, because percents are always divided by 100 to make them into a usable number), which is equal to $266.60.

Six less then a number is equal to ten

Answers

The number is represented by n
n-6=10

To solve, add 6 to each side, giving you n=16

According to the information we can infer that the number is 16. So, 6 - 16 is 10.

What number does complete the operation correctly?

Let's assume the number is represented by 'x'.

According to the given information, six less than a number is equal to ten. This can be expressed as:

x - 6 = 10

To find the value of 'x', we can add 6 to both sides of the equation:

x - 6 + 6 = 10 + 6

This simplifies to:

x = 16

According to the information we can conclude that the number is 16. So, 6 - 16 is 10.

Learn more about numbers in: https://brainly.com/question/24908711
#SPJ2

Somebody please help!

Answers

Answer:

2

Step-by-step explanation:

When you plug in 3 for the value of x you get the equation: 4(3)-2/5 (being divided by 5)

Now we solve the top and the bottom of the fraction.

4×3=12

12-2=10

10/5= 2

Hope this helps! :)

solve for y 5y-28=7(y=2) Simplify your answer as much as possible.

Answers

Answer: Y=7

Step-by-step explanation: if you have to find y then it’s

5y-28=7

   +28+=+28 adding 28 to both sides to have y by itself -28+28=0 & 28+7=35

5y=35 then you divide by 5 on both sides

So it’s y= 7

ILL MAKE BRAINLIEST PLEASE HELP

Answers

Answer:

no you can only use side side side when all of your triangles are equilateral triangles

Step-by-step explanation:

-21w + 5 + 3w -1 pls anwser

Answers

Answer:

-18w +4

Step-by-step explanation:

-21w + 5 + 3w -1

Combine like terms

-21w +3w   +5-1

-18w +4

Graph x<2 i know the way it is i just need to know if it is a dotted line or a regular line

Answers

Answer:

it is a dotted line, because of the < symbol. If there is no line under < then it is dotted, but if there is a line under the < symbol it will be solid

Step-by-step explanation:

what is 8 1/6 + 3/4​

Answers

Answer:

8 11/12

Step-by-step explanation:

8 1/6 + 3/4 = ?

Let's find the equivalent fractions:

1/6 = 2/12         3/4 = 9/12

So, now let's add:

8 2/12 + 9/12 = 8 11/12

Decimal:

8 11/12 = 8.917

which are the roots of x^2-4x+4=20

Answers

x2+-4x+4=20 the final answer is 20!

In the given figure AB parallel to CD then value of x is?

Answers

Answer:

 x = 45

Step-by-step explanation:

AB // CD,

∠AB0 + ∠COB = 180  {Co interior angles}

   75 + ∠COB = 180

             ∠COB = 180 - 75 = 105

∠DOE =∠COB   {Vertically opposite angles}

∠DOE = 105

In ΔDOE,

x + 30 + 105 = 180    {angle sum property of triangle}

      x + 135 = 180

                x = 180 - 135

                x = 45

A round trip from Montreal to LA is 2,688 miles and takes an airline 9 hours and 20 minutes. Given the outbound trip is the same distance as the return trip, and the speed of the plane was 25%faster on the return trip, how long did the return trip take? Answer to the nearest minute. ​

Answers

Answer:

4.074 hours

Step-by-step explanation:

r =

The formula for speed = Distance × Time

Hence,

Let the outbound speed = r

return trip speed = r + 25x/100 = 125r/100 = 1.25r

Note that: 9 hours and 20 minutes = 9.167

Let t1 and t2 be the time taken to travel on way and return journey.

t1 + t2 = 9 hr 10 min = 9.167 hrs

Hence:

2688/r + 2688/1.25r = 9.167

LCM(1.25r)

(2688 × 1.25) + 2688 /1.25r= 9.167

3360 + 2688 = 9.167 × 1.25r

6048 = 11.45875r

r = 6048/11.45875

Outbound trip rl = 527.8062615904876mph

Return trip speed = r + 25x/100 = 125r/100 = 1.25r

= 1.25 ×

659.75782699mph

Time for return trip = Distance/Speed

= 2,688 miles/659.75782699mph/

= 4.0742222222 hours

Approximately = 4.074 hours

factor of x² +46x +45 is?

i need solution please​

Answers

Answer:

X^2 + 46x + 45 = (x + 1) (x + 45)

Step-by-step explanation:

Consider the form x^2 + bx + c . Find a pair of integers whose product is c and whose sum is b . In this case, whose product is 45 and whose sum is 46 .

1, 45

Write the factored form using these integers.

(x + 1) (x + 45)

I hope this helps.

Answer:

(x+1) (x+45)

Step-by-step explanation:

By using FOIL(Front Outer Inner Left) it should end up like this:

1. x2 + 46x + 1x + 45

2. x2 + 47x + 45

V = X timesY times Z solve for x

Answers

Answer:

X = V/(YZ)

Step-by-step explanation:

V=XYZ

Division property of equality

V/(YZ) = X

Symmetric property of equality

X= V/(YZ)

The value for x is;

X = V/YZ

What is an expression?

Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.

The expression is given as;

V = X times Y times Z

Now, It can be written as;

V = XYZ

So, For value of x;

Divide by YZ both side;

V/YZ = X

X = V/YZ

Thus, The value for x is;

X = V/YZ

Learn more about the expression visit:

https://brainly.com/question/28036476

#SPJ5

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