Shaquira is baking cookies to put in packages for a fundraiser. Shaquille has made 86 chocolate chip cookies and 42 sugar cookies. Shaquira wants to create identical packages of cookies to sell, and she must use all the cookies. What is the greatest number of identical packages Shaquira can make?

Answers

Answer 1

Answer:

The greatest number of identical packages Shaquira can make is 21.

Explanation:

To find the greatest number of identical packages Shaquira can make, we need to determine the greatest common divisor (GCD) of the number of chocolate chip cookies and the number of sugar cookies. The GCD represents the largest number of identical packages that can be made.

Given:

- Chocolate chip cookies: 86

- Sugar cookies: 42

We can find the GCD using the Euclidean algorithm or by listing the factors of each number and identifying the largest common factor.

By listing the factors:

- Factors of 86: 1, 2, 43, 86

- Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42

The common factors are 1 and 2. The greatest common factor (GCD) is 2.

So, Shaquira can make the greatest number of identical packages by dividing both the number of chocolate chip cookies and the number of sugar cookies by the GCD:

[tex]\( \frac{86}{2} = 43 \)[/tex] packages from chocolate chip cookies

[tex]\( \frac{42}{2} = 21 \)[/tex] packages from sugar cookies


Related Questions

Which number sentences show how to solve the problem? Luis bought 5 bags of red balloons for the party. Ruby bought 8 bags of mixed-color balloons. Each bag contains 35 balloons. How many balloons did Luis and Ruby buy altogether? A. 8 + 35 = 43 and 5 + 35 = 40 and 43 + 40 = 83 balloons B. 5 + 8 = 13 and 13 + 35 = 48 ballons C. 5 x 35 = 175 and 8 x 35 = 280 and 175 + 280 = 455 ballons D. 5 x 8 = 40 and 40 x 35 = 1400 balloons

Answers

C. 5 x 35 = 175 and 8 x 35 = 280 and 175 + 280 = 455 ballons

Answer:

C. 5 x 35 = 175 and 8 x 35 = 280 and 175 + 280 = 455 ballons

Step-by-step explanation:

C. 5 x 35 = 175 and 8 x 35 = 280 and 175 + 280 = 455 ballons

Estimate the value of the expression by rounding each number to the given place value. 68 – 29; tens A. 30 B. 35 C. 40 D. 50

Answers

68 rounds up to 70
29 rounds up to 30

So, 70-30 = 40
C. 40 is our answer! Hope I helped :)

What's the answer to this question ? I've been really confused for the past 20 minutes

Answers

the hint tells you s is sqrt(a)

 the question tells you a = 570025

so side = sqrt(570025)

 plug that into your calculator to get:

755 feet

21) Each side is 755 in
To do this all you'll need to do is find the root of 570,025, which is 755

22) Each side is 25 in
Again, you'll need to find the square root of 625, which is 25

60 is ? Times as many as 10

Answers

60 is 6 times as many as 10, because 60 is 10 times 6.
60 is 6 times 10 
hope it helped

74 – (25 + d) + ¾ d = 44 please show your work. Solve for d

Answers

Your answer is: d=20.

Here is my work:

74 – (25 + d) + ¾ d = 44
=−d/4+49=44
=d=20

Answer is: d=20.

Hope it helps

Write the number that has 1 hundred 14 tens 6 ones

Answers

246 because 1 hundred = 100, 14 tens = 140, 6 ones = 6

eighteen and nine tenths is 2.6 less than a number. find the number.

Answers

18(9/10) + 2.6 = 18.8

what is that equation written in standard form

Answers

That would be 21378,6

since the exponent is 4, move the decimal place 4 places to the right

 so 2.13786 x 10^4 = 21378.6

Are my answers correct???

Answers

All of them are wrong except number 12. The top left is 7, the top right is 26, the bottom left is 4. And a little hint, do what's in the parentheses first. Hope I helped!!
31+(24-19)-8*4
31+ 5-8*4
31+5-32
37-32=5
Number 9 is wrong. the correct answer is 5.

10. 48 -9 * 2-4
48 - 18 -4
30-4= 26
Number 10 is wrong , the correct answer is 26.

11. 56÷ ( 10-5+3*3)
10-5+9
5+9 =14

56÷ 14 =4
Number 11 is wrong. the correct answer is 4.

12. 16-12=4

4÷2 * 5*5
4÷2 * 25
2*25 = 50

Number 12 is correct.

a garden hose faucet is able to fill a gallon container in 20 seconds a homeowner accidentally left his hose on for a full day how many gallons per day can a hose release

Answers

the hose releases 1820 gallons of water
I got 4,300 gallons in one day.

What I did was turned 24 hrs in seconds (which was 86,000) then divided that by 20.

the larger of two numbers is twice the smaller number. if 12 is subtracted from the larger number, the result is 7 more than the smaller number. find the numbers

Answers

The larger number (L) = 19 the smaller number (S) = 9.5

L - 12 = 7 + S
L = 19 + S
L = 19

L = 2(S)
19 = 2(S)
9.5 = S

Pete owes his brother 35 dollars from 5 weeks of borrowing money what is the mean Pete borrowed each week

Answers

the answer is 175 dollars

Suzi starts her hike at -225 feet below sea level. When she reaches the end of the hike, she is still below sea level at -127 feet. What was the change on elevation from the beggining of Suzi's hike to the end of the hike?

Answers

Positive 98 is the difference. From -225 to 127 is getting closer to positive numbers.

The change in elevation from the beginning of Suzi's hike to the end is 98 feet, as calculated by the difference in starting and ending elevations: (-127) - (-225) = 98 feet.

To calculate the elevation change, we subtract the elevation at the start of the hike from the elevation at the end of the hike. Suzi started at -225 feet below sea level and ended at -127 feet below sea level.

To find the change in elevation, we perform the following calculation:

Write down the starting elevation: -225 feet.

Write down the ending elevation: -127 feet.

Subtract the starting elevation from the ending elevation: (-127) - (-225).

Simplify the equation by adding: -127 + 225 = 98 feet.

Therefore, the change in elevation from the beginning of Suzi's hike to the end is 98 feet. The positive result indicates an increase in elevation, even though Suzi is still below sea level at the end of her hike.

Which gives the solution of this inequality? 7m − 2 ≥ 61 options
A. m < 9
B. m > 9
C. m ≥ 9
D. m ≥ 8.4
E. m > 8.4

Answers

7m - 2 ≥ 61
      +2    +2

7m  ≥ 63

m ≥ 9 
7m − 2 ≥ 61 
7m − 2 + 2 ≥ 61 + 2
7m  ≥ 63
7m/7  ≥ 63/7
m ≥ 9

answer 
C. m ≥ 9 

(-1.15)x3.2=

Please explain how you got the answer step by step

Answers

-1.15 * 3.2.....when multiplying, when the signs are different, the result will be negative.

-3.68 would be ur answer

The multiplications between (-1.15) and  3.2 will be negative of 3.68.

What is the fundamental principle of multiplication?

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

WE need to find the multiplications between (-1.15) and  3.2

We now that when multiplying, when the signs are different, the result will be negative.

(-1.15) x 3.2 = -3.68

Therefore, the multiplications between (-1.15) and  3.2 will be negative of 3.68.

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divide , round to the nearest tenth
336.752 divided by 31

Answers

it    is   originally 10.829677419 so rounding to the nearest tenth would be 10.9

Answer:

Round to the nearest tenth  336.752 divided by 31 is 10.9

Step-by-step explanation:

Consider the provided information.

336.752 divided by 31

This can be written as:

336.752 ÷ 31

Divide the number as shown:

[tex]\frac{336.752}{31}[/tex]

[tex]10.862968[/tex]

Now we need to round it to the nearest tenth.

According to the place value:

Tens   Ones   Decimal point   Tenths   Hundredths

 10         1                    .                0.1           0.01

According to place value tenths place is just after the decimal point so round the number to just after decimal point.

The rule of rounding a number is:

If 0, 1, 2, 3, or 4 follow the number, then no need to change the rounding digit.

If 5, 6, 7, 8, or 9 follow the number, round it up by one number.

Here, the number at the hundredths place is 6 so round it up.

Thus, the  round to the nearest tenth is 10.9

a digital scale measures weight to the nearest 0.2 pound. which measurement shows an appropriate level of precison for the scale?

A. 130.4 pounds

B. 125 pounds

C.120 pounds

D. 124.75 pounds


Answers

I think it would be A. 130.4 if it is measuring to the nearest 0.2 pound

Answer:

130.4 pounds

Step-by-step explanation:

The digital scale is measuring weight to the nearest 0.2 pounds, so basically the digital scale would show you the weight of an object that is a multiple of 0.2.

Talking about precision, precision tells us how accurate is the measured value or how close is the measured value to the actual value.

Here, scale is measuring to the nearest 0.2 pounds, so out of the given values the measurement that shows an appropriate level of precision for the scale is 130.4 pounds.

A gram of gasoline produces 45.0kj of energy when burned. gasoline has a density of 0.77/gml . how would you calculate the amount of energy produced by burning 46.l of gasoline? set the math up. but don't do any of it. just leave your answer as a math expression. also, be sure your answer includes all the correct unit symbols.

Answers

Final answer:

To calculate the amount of energy produced by burning 46.1 mL of gasoline, you can use the formula: Amount of energy = (Density of gasoline) x (Volume of gasoline) x (Energy produced per gram). Plug in the values and include the correct unit symbols (g/mL, mL, kJ) in your answer.

Explanation:

To calculate the amount of energy produced by burning 46.1 mL of gasoline, you can use the following formula:

Amount of energy = (Density of gasoline) x (Volume of gasoline) x (Energy produced per gram)

Plugging in the values:

Amount of energy = (0.77 g/mL) x (46.1 mL) x (45.0 kJ/g)

This gives us the math expression:

Amount of energy = 0.77 x 46.1 x 45.0 kJ

Make sure to include the correct unit symbols (g/mL, mL, kJ) in your answer.

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Solve: x − 2/3 = 6 1/3

Answers

The answer to this equation is x=21

55 miles per hour write a algebric expression to show how far the car will travel in a certain number of hours

Answers

55miles in an hour  times x( # of hours that are unknown)
Final answer:

The algebraic expression for the scenario is 'd = 55t', where 55 (miles per hour) is the constant, and 't', which represents time in hours, is the variable. This expression is used to calculate the distance traveled by a car.

Explanation:

The subject of your question is algebra, particularly involving the concept of linear equations. In this scenario, you're looking to determine how far a car will travel given a certain speed and number of hours. Your constant in this case will be the speed of the car, which is 55 miles per hour. The variable is the time in hours, which we can denote by 't'. Hence, the algebraic expression representing this scenario would be d = 55t where 'd' represents the distance traveled by the car. The distance is calculated by multiplying the constant speed by the variable time.

Learn more about Algebra here:

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The complete question is here:

A car is traveling at a speed of 55 miles per hour. You want to write an algebraic expression to show how far the car will travel in a certain number of hours. What will be your constant? your variable?

If 3h = 12, then what is the value of 4(10 – h)?

Answers

3h = 12
h = 12/3
h = 4

so if h = 4....
4(10 - h) =
4(10 - 4) =
4(6) =
24 <===
The answer is 24 it's should be

What is 1,537x242?
You can get ten points by answering this plz help me.

Answers

371,954 is the answer
1,537 x242 =371,954

Round 43.786 to the nearest hundredth

Answers

43.786

Since 6 rounds up:

43.79

Hope this helps!
The hundereths at are on the right side 43.790 next to the ones place value. Witch is before the desimal

How many meter of cloth is needed if Aling Luding to make 25 pillowcase if each pillowcase needs 95 cm long cloth?

Answers

23.75
this is because there would be 2375cm if you didn't convert it into meters
 

Aling Luding will need 23.75 meters of cloth to make 25 pillowcases, with each pillowcase requiring 95 cm of cloth. We convert the total centimeters to meters by dividing by 100.

To calculate the total amount of cloth Aling Luding needs to make 25 pillowcases, with each pillowcase requiring 95 cm of cloth, we need to perform a simple multiplication. We multiply the number of pillowcases by the length of cloth needed per pillowcase.

Therefore, the calculation will be:

25 pillowcases  imes 95 cm per pillowcase = 2375 cm.

However, we often measure fabric in meters, so we need to convert centimeters to meters. There are 100 cm in a meter, so:

2375 cm \/ 100 = 23.75 meters.

So, Aling Luding needs 23.75 meters of cloth in total to make 25 pillowcases.

what digit is in the ten thousands place 9,435,678

Answers

easy the 3 is in the ten thousands place

Place each number in the correct location on the Venn diagram

Answers

hope this helps you with your work

The numbers placed in the Venn diagram are given below.

The given numbers are -5/9, -√100, π and √25.

What are real numbers?

Any number that can be found in the real world is a real number. We find numbers everywhere around us. Natural numbers are used for counting objects, rational numbers are used for representing fractions, irrational numbers are used for calculating the square root of a number, integers for measuring temperature, and so on.

Here, -5/9 is a rational number

-√100=-10 is an integer

π is an irrational number

√25=5 is the whole number

Hence, the numbers placed in the Venn diagram are given below.

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Help please!!i don't understand interferes or rational numbers

Answers

Rational Numbers are basically any numbers you can think of, including square roots and that stuff.
Integers are numbers not with decimals or fractions, they can be negative or positive.
Whole numbers must be positive, and have no decimal points.

A real world problem for the equation 0.75x - 18.50 = 0.65x

Answers

Diana had chocolate, and ate some, leaving 0.75 of it for Sarah. 

Sarah ate 18.5 grams of it and return the rest to Diana, which was 65% of the original chococate. 

how much chocolate did Diana have at the beginning?

and the solution is: 

0.75x-18.50=0.65x 

0.75x-0.65x=18.50
0.1x=18.50
x=185

so Diana had 185 grams of chocolate. 

Hope this helped

What is between 1/3 and 87/100 on a number line

Answers

1/3 = 0.333333   87/100 = 0.87
0.87..............................

Graph 0.6 on a vertical number line

Answers

next to 0. 7 on the number line
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