Victor baked 30 chocolate chip cookies, 18 peanut butter cookies, and 24 sugar cookies. He wants to split them into equal identical bags to sell at the bake sale. What is the greatest number bags of cookies Victor can make?

Answers

Answer 1

Answer:

  6

Step-by-step explanation:

The greatest common factor (GCF) of 18, 24, and 30 is 6.

Victor can make at most 6 bags with equal numbers of each type of cookie.

_____

18 = 6×3

24 = 6×4

30 = 6×5

One way to look for the GCF is to consider the differences between the numbers. The smallest difference between any pair is 6, which also divides all of the numbers evenly. Hence 6 is the GCF.

Answer 2
Final answer:

By finding the greatest common divisor (GCD) of the counts of each type of cookie (30, 18, 24), it is determined that Victor can make 6 identical bags for the bake sale.

Explanation:

To determine the greatest number of bags Victor can make, we need to find the greatest common divisor (GCD) of the counts of each type of cookie: 30 chocolate chip cookies, 18 peanut butter cookies and 24 sugar cookies. The GCD is the largest number that exactly divides all these counts.

First, list the divisors of each number:

Divisors of 30: 1, 2, 3, 5, 6, 10, 15, 30 Divisors of 18: 1, 2, 3, 6, 9, 18 Divisors of 24: 1, 2, 3, 4, 6, 8, 12, 24

Find the highest number that appears in each list. The highest common factor of 30, 18, and 24 is 6, so Victor can make a total of 6 equal bags with each type of cookie.

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Related Questions

Jessica has 1368 baseball cards Thomas has has 1633 who has more baseball cards

Answers

Total number of baseball cards Jessica has = 1368 cards.

Total number of baseball cards Thomas has = 1633 cards.

We need to find who has more baseball cards.

We can see 1633 is greater than 1368, because we have hundreds digit in 1633 is 6 and hundreds digit in 1368 is 3.

6 is greater than 3.  Therefore 1633 is greater than 1368.

And finally we could say Thomas has more baseball cards than Jessica has.

Answer:Thomas

Step-by-step explanation:

1633 > 1368

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

y = 5cos(πx/4) +11

Step-by-step explanation:

The radius is 5 ft, so that will be the multiplier of the trig function.

The car starts at the top of the wheel, so the appropriate trig function is cosine, which is 1 (its maximum value) when its argument is zero.

The period is 8 seconds, so the argument of the cosine function will be 2π(x/8) = πx/4. This changes by 2π when x changes by 8.

The centerline of the wheel is the sum of the minimum and the radius, so is 6+5 = 11 ft. This is the offset of the scaled cosine function.

Putting that all together, you get

... y = 5cos(π/4x) + 11

_____

The answer selections don't seem to consistently identify the argument of the trig function properly. We assume that π/4(x) means (πx/4), where this product is the argument of the trig function.

Answer:


Step-by-step explanation:

You have to start by making a small chart of what  is happening at what time.

x    0        4        8

y    16       6       16

Essentially this is a cosine function.

Now you need to fill in some of the details. The key is what is happening at x = 4 seconds? At that time, you must add a minus amount in the cosine function to the amplitude to get 6. The only way to do that is if you have

y = 5* cos( (x/4)*pi) + 11

y = 5*cos( (4/4)*pi) + 11

y = 5 * cos(pi) + 11

y = 5 * (-1) + 11

y = -5 + 11 = 6

==================

x = 0

y = 5* cos( (pi/4)*0 ) + 11

y = 5 * cos(0) + 11

y = 5 (1) + 11

y = 16

===================

x = 8 seconds

y = 5*cos(8/4)*pi) + 11

y = 5*cos(2*pi) + 11

y = 5 * (1) + 11

y = 16

==================

The question is where did the 11 come from?

The Ferris wheel has a diameter of 10 feet and a radius of 5

The high and low points are 16 and 6.

The center of the Ferris wheel is between 16 and 6. Between in this case means average.

(16 + 6)/2 = 22/2 = 11

Help plz I WILL MARK BRAINLYST

Answers

The median is 6. I hope this helps you out.

The Answer would be 5.5 because it splits between 6 and 5 and the median would be 5.5.

The temperature decreased overnight by 15.2°C to a temperature of –12.8°C. Suppose t represents the temperature before it decreased.



Which equation can be used to represent this situation?



A.


t – 15.2 = –12.8


B.


t + 12.8 = –15.2


C.


t – 12.8 = 15.2


D.


t – (–15.2) = –12.8

Answers

Answer:

Option a

Step-by-step explanation:

Given that temperature originally was t.

It was decreasing continuously overnight.

finally the temperature reading was -12.8 degree C

Given that it decreased by 15.2 degree C

This means original temperature -15.2 = new temperature -12.8

i.e. t-15.2 = -12.8 is the correct equation.

Option a is right.

Verify:

Solve to get t = 15.2-12.8 = 2.4

Hence when 2.4 decreases by 15.2 we get new temperature

= 2.4-15.2 = -12.8

30 POINTS FOR WHO EVER GIVE ME THE RIGHT ANSWER

Answers

false if there is a negative exponent move it to the other side for the fraction

Answer:

False.

Step-by-step explanation:

[tex] \dfrac{1}{x^{-3}} = x^3 [/tex]

[tex] x^3 [/tex] is a simplified expression. The given expression is not simplified.

Mr and mrs Wilson hosted their daughters wedding they paid 575

Answers

aye good for them? what’s the question ?

Which values are possible rational roots of 4x3+9x2−x+10=0 according to the rational root theorem? Select each correct answer. ±12 ±2 ±52 ±25

Answers

ANSWER


The possible rational roots are:


[tex]\pm\frac{1}{2},\pm2,\pm \frac{5}{2}[/tex]


EXPLANATION


According to the rational root theorem, the possible rational roots of the polynomial,



[tex]4x^3+9x^2-x+10=0[/tex]


are all the possible factors of the constant term divided by all the possible factors of the coefficient of the highest degree of the polynomial.



Therefore we examine the numerator and denominator of the options provided to see if they are factors of 10 and 4 respectively.



For

[tex]\pm\frac{1}{2}[/tex], we can see that 1 is a factor of 10 and 2 is a factor of 4, hence it is a possible rational root.


The same thing applies to [tex]\pm2,\pm \frac{5}{2}[/tex] also.


As for


[tex]\pm \frac{2}{5}[/tex], 2 is a factor of 10 but 5 is not a factor of 2, hence it is not a possible rational root.


The values of the possible rational roots of 4x³ + 9x² - x + 10 = 0 among the options are;

±½, ±2, ±5/2

          The rational root theorem states that if a polynomial has any rational roots, then the rational roots must be of the form;

±(factors of the coefficient of the constant term/factors of coefficient of the term with the highest degree)

Now, the polynomial we are given is;

4x³ + 9x² - x + 10 = 0

The constant term here is 10 and it has factors as; 1, 2, 5, 10

The coefficient of term with the highest degree here is 4 and it's factors are; 1, 2, 4.

Thus, the rational roots could be;

±(½, 2, 5/2, 5)

        Looking at the options, the only correct possible rational roots are;

±½, ±2, ±5/2

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Luna into a rifle for a new pair of running shoes. She purchased 20 tickets and she told that she had 20% chance of winning. How many tickets were sold?

Answers

Answer:

4 tickets were sold

Step-by-step explanation:if you have 100 of anything. 5 sets of 20=100


Answer:

Answer: x = 100

Step-by-step explanation:

(20)(x) = (5)(x) = 20/5 = 5x/5 = 100

I just answered and got it correct.

12 minutes to drive 30 laps and 48 minutes to drive 120 laps are they equivalent

Answers

30/12=in 1 min you drive 2.5lap

120/48=in 1 min you drive 2.5lap

yes they are equivalant

If they are equivalent, you should be able to cross multiply and get a true statement.

12/30 = 48/120

12(120) = 30(48)

1440 = 1440

This is a true statement, therefore they ARE equivalent.

If (3,5) is a point on the graph of the function f, then which of the following points must be on the graph of the inverse function f (-1) ?

Answers

(-3,5) and f (1) of the inverse function

If (3,5) is a point on the graph of the function f, then (-1, 5) must be on the graph of the inverse function f-1.

To find the point that must be on the graph of the inverse function, we need to find the inverse of the given function first. Let's assume the given function is f(x) = y.

To find the inverse of f(x), we swap the x and y variables and solve for y. In this case, we have x = 3 and y = 5, so the inverse function is f-1(x) = (5, 3).

Therefore, the point (-1, 5) must be on the graph of the inverse function f-1.

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How many square units are in an office that is 18 units by 8 units?

Answers

18x8 is 144


The answer is 144 units^Squared

Find a common solution for the system of equations given below:
-1/4x+y=-2
-x+4y=-8

Answers

[tex]\left\{\begin{array}{ccc}-\dfrac{1}{4}x+y=-2&|\cdot4\\-x+4y=-8\end{array}\right\\\\\left\{\begin{array}{ccc}-x+4y=-8\\-x+4y=-8\end{array}\right\\\\-x+4y=-8\ \ \ \ |+x\\4y=x-8\ \ \ \ |:4\\y=\dfrac{1}{4}x+2\\\\\left\{\begin{array}{ccc}x\in\mathbb{R}\\\\y=\dfrac{1}{4}x+2\end{array}\right[/tex]

Mr ramos thumb measures 4 cm.. Express the length in meters

Answers

0.04 meters hope that helps

2/3 = 26.
Show work please. I alr know the answer but my teacher want work showed

Answers

[tex]\dfrac{2}{3}x=26\\\\x=26\div \dfrac{2}{3}=26\cdot\dfrac{3}{2}=39[/tex]

Which points are collinear with points A and B ?

Answers

The collinear points with A and B are:

- A, B, R

- B, D, T

- C, D, U

- B, S, G (where G is the centroid of AEDC).

In the given pyramid BAEDC, the collinear points with points A and B are determined by the midpoints and the line coming from B.

1. Midpoint of BA is R:

  - Points A, B, and R are collinear.

2. Midpoint of BD is T:

  - Points B, D, and T are collinear.

3. Midpoint of CD is U:

  - Points C, D, and U are collinear.

4. Line coming from B meets at S, the midpoint of AEDC:

  - Points A, E, D, C, and B are vertices of the pyramid, and S is the midpoint of the line segment connecting B to the centroid of the base AEDC.

  - Therefore, points B, S, and the centroid (G) of AEDC are collinear.

In summary, the collinear points with A and B are:

- A, B, R

- B, D, T

- C, D, U

- B, S, G (where G is the centroid of AEDC).

Alejandro needs to buy bird seed from the local pet store for his parrots. A
10
lb. bag of bird seed costs
$12.55.
The pet store also sells loose bird seed for
$1.49
per pound. The sales tax is already included in these prices. Alejandro wants to buy a
10
lb. bag of bird seed and some loose bird seed. If he has
$20,
how many pounds of loose bird seed can he buy after purchasing the
10
lb. bag?

Answers

First take note he only has $20 and the bag he must buy is $12.55. Also the loose seeds are $1.49 per pound.

To solve subtract 12.55 from 20

20-12.55=7.45

So after buying the 10 lb bag he has $7.45 left now divide that by 1.49

7.45/1.49=5

So after buying the 10 lb bag he can also buy 5 lb of the loose seeds!


Jay needs 19 quarts more paint for the outside of his barn than for the inside.If he uses 107 quarts in all,how many gallons of paint will be used to paint the inside of the barn?

Answers

If we use X to represent the amount of quarts for the inside of the barn we can write an equation for this. The outside needs 19 quarts more so we can say this is (x+19)

x+x+19=107
2x+19=107
2x=88
x=44 quarts

convert to gallons by dividing by 4 and you have 11 gallons for the inside

A store owner buys cell phones for $40 and a mark up the price by 25% explain how to find the price at which she sells the cell phone

Answers

the store's selling price is 1 .25 times the original cost so to wok out how much the phone costs you times 40 by 1.25 which gives you $50

A cylinder has a volume of 628 cubic inches and a radius of 10 inches. What is the height of the cylinder

Answers

Answer:

Height of cylinder = 2 inches

Explanation:

 If a cylinder has a base radius r and height h, the volume of cylinder is given by the expression, Volume V = πr²h.

Here given that volume of cylinder = 628 cubic inches = 628 inch³

 Radius of base circle = 10 inch.

 Substituting in the volume of cylinder equation

           628 = π x 10² x h

           [tex]h= \frac{628}{\pi *10^2} \\ \\ h=2.00 inches[/tex]

So , height of cylinder = 2 inches

Write an equation of the line in point-slope form that passes through the two given points: (-17,8), (3,-2)

Answers

Answer:

y+2 = (-1/2)(x-3)

Step-by-step explanation:

Note that as we move from (-17,8) to (3,-2), x increases by 20 and y decreases by 10.  Thus, the slope of this line is m = -10/20, or m = -1/2.

The standard equation in point-slope form is y - k = m(x - h), where (h, k) is a point on the line and m is the slope of the line.  Then, taking data from the point (3, -2), we have

y+2 = (-1/2)(x-3).

Check:  Does the point (-17,8) satisfy this equation?  Is 8+2 = (-1/2)(-17-3) true?

Is 10 = 10 true?  Yes.


Answer:

y+2 = (-1/2)(x-3)

Step-by-step explanation:

HELP!!

What is m∠PTS?

Answers

<PTS = <RTQ (vertical angles are equal)

11(y - 10) = 4y - 5

11y - 110 = 4y - 5

7y = 105

y = 15

so

<PTS = 11(15 - 10) = 11(5) = 55

Answer

<PTS = 55°

Please help asap 30 pts

Answers

629g < box + cereal < 633g

629g - 5g = 624g

633g - 5g = 628g

Answer: a. 624 < x < 628

Linda spent 3/4 of her saving on furniture and the rest on a tv.If the tv cost her $200,what were her original savings .

Answers

Let x represent the amount of savings

[tex]\frac{3}{4}[/tex] of savings minus tv equals zero

[tex]\frac{3}{4}x[/tex] - 200 = 0

[tex]\frac{3}{4}x[/tex] = 200

3x = 4(200)

[tex]x = \frac{4(200)}{3}[/tex]

x = 266.67

Answer: $266.67


Here is an addition sentence.

7 + 4 = 11

Choose the related addition sentence that shows the commutative property of addition..
A.
4 + 7 = 11
B.
11 – 4 = 7
C.
11 = 7 + 4
D.
8 + 3 = 11

Answers

For this case, we have the expression given by:

[tex]a + b = c\\[/tex]

This expression turns out to be generic.

The commutative property of the addition states that the order of the addends does not alter the sum. Thus it is concluded that the previous expression above can be written as:

[tex]b + a = c\\[/tex]

In this way [tex]7 + 4 = 11[/tex], applying the commutative property of the addition, it can be written as:

[tex]4 + 7 = 11\\[/tex]

Answer:

Option A

Austin began a repiping job with 26 yards, 2 feet, 5 inches of pipe. When he finished the job, he had 13 yards, 2 feet, 7 inches. How much pipe did he use for the repiping job? Convert the answer to larger units whenever possible.

Answers

Answer:

He used 12.944... yards of pipe for the repiping job.

Step-by-step explanation:

We know that,  1 yard = 3 feet  and  1 feet = 12 inches.

That means,  1 yard = (3×12) inches = 36 inches.

So, 1 feet = [tex]\frac{1}{3}[/tex] yard and  1 inch = [tex]\frac{1}{36}[/tex] yard.

Thus,  26 yards, 2 feet and 5 inches [tex]=(26+\frac{2}{3}+\frac{5}{36}) yards = 26.805... yards[/tex]

and  13 yards, 2 feet and 7 inches [tex]=(13+\frac{2}{3}+\frac{7}{36}) yards = 13.861... yards[/tex]

So Austin began a repiping job with 26.805... yards of pipe and when he finshed the job, he had 13.861... yards.

So, the length of the pipe he used for the repiping job will be: [tex](26.805...-13.861...) yards = 12.944... yards[/tex]

12 yards, 2 feet, 10 inches

Complete the explanation of what happens when you round 4.975 to the nearest tenth.

since they're is a ____ in the hundredths place, the number in the tenths place will be__
Since 9+1=10 a ____ will go in the tenths place and ___ will be added to the 4 in the ones place making the answer ____

Answers

To round 4.975 to the nearest tenth, since the hundredths place has a 7, you round up, leading the tenths place (9) to increase by 1, turning into a 0, and the ones place (4) to also increase by 1, resulting in 5.0 as the answer.

When you round 4.975 to the nearest tenth, since there is a '7' in the hundredths place, the number in the tenths place will be affected by rounding rules. According to the standard rules for rounding numbers, if the first dropped digit is 5 or higher, you round up. Since 7 is greater than 5, you add 1 to the tenths place. Therefore, 9 in the tenths place plus 1 equals 10, which means a '0' will go in the tenths place and an additional '1' will be added to the 4 in the ones place, making the rounded number 5.0.

In the great flood of 1993, the Mississippi River was so high that it caused the Illinois River to flow backward. If the Illinois River flowed at the rate of -1500 feet per hour, how far would the water travel in 48 hours?

Answers

[tex]1500 \times 48 = 72000 \: feet \: backwards[/tex]

The following function represents an arithmetic sequence.

f(n)=4n−2

What is f(10)?

Enter your answer as a number, like this: 42/53

Answers

f(10)=4(10)-2
f(10)=40-2
f(10)=38
F(n)=4n-2
F(10) = 4(10) - 2
=40 - 2
F= 38
My answer is this

An up-and-coming band has seen a 50% monthly increase in the the number of audience members at their concerts. At the band's first concert, there were 40 people in the audience. If this trend continues, which of the following graphs represents the number of audience members, y, after x months?

Answers

We are given that initially there were 40 people in the audience.

And an up-and-coming band has seen a 50% monthly increase in the the number of audience members at their concerts.

The number of audience members is represented by y variable and

Number of months is represented by x variable.

So, the exponential function would be

y= a(b)^x

Where a is the initial value, b is the growth factors.

a= 40 and b= 1+ 0.50 = 1.50.

Therefore,

y= 40(1.50)^x is the exponential function situation.

Let us check some point on the graph.

If we plug x=0, we get initial value 40.

If we pug x=2, we get

y=40(1.50)^2 = 40(2.25) = 90.

Graph C represents y=40 at x=0 and y=90 at x=2.

Therefore, correct option is C option.

If you're on Plato the answer would be C

Yolanda says 105 is the same as 50 because 10x5 equals 50. What was yolanda's mistake

Answers

Answer:  Yolanda's mistake is that she is assuming 105 is same as 10 x 5 .

Explanation:Here 105 represents a three digit number where 1 is at hundreds place,0 is at tens place and 5 is at once place and it can be written as the product  of its factors 5 and 21 i.e 105=5×21 =21+21+21+21+21+21=105(by adding once place and tens place), where as 10×5 represents 5 times number 10 i.e.10+10+10+10+10=50(by adding once place and tens place)

So ,assuming 105 is same as 10 x 5 is her mistake.



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