Angie baked 100 cookies and 20 brownies. She wants to split them into equal groups for the big sale. Each group must have the same number of cookies and brownies, with none left over. What is the greatest number of groups she can make? Angie baked 100 cookies and 20 brownies. She wants to split them into equal groups for the big sale. Each group must have the same number of cookies and brownies, with none left over. What is the greatest number of groups she can make? Angie baked 100 cookies and 20 brownies. She wants to split them into equal groups for the big sale. Each group must have the same number of cookies and brownies, with none left over. What is the greatest number of groups she can make?

Answers

Answer 1

stop copying the question, it's confusing

so 100 cookies and 20 brownies
what is the greatest number you can divide them both by?

find the GCF
factor them
100=2*2*5*5
20=2*2*5
so the GCF is the common group to both or 2*2*5 or 20

100/20=5
20/20=1

there are 20 groups, each wit 5 cookies and 1 brownie

20 groups

Related Questions

C =5/9(F-32). Covert 12 degrees Celsius to Fahrenheit. Round to nearest degree

Answers

12 = 5/9(F - 32)

F - 32 = 12 / 5/9 = 12 * 9/5 = 21.6

F = 32 + 21.6 = 53.6 = 54 to nearest degree

What are the vertex, focus, and directrix of the parabola with the equation x^2+8x+4y+4=0

Answers

We are given the function x^2+8x+4y+4=0. To determine the characteristics of this function, we need to write it in the standard form as follows:

x^2+8x+4y+4=0
4y = -x^2 - 8x - 4
y = (-1/4)x^2 - 2x - 1

To determine the vertex and the focus of the parabola, we write it in the form (y+k)^2 = x+h by completing the square method.

y + 1 = (-1/4)x^2 - 2x
y +1 = (-1/4)(x^2 + x/2)
y +1 - 1/64 = (-1/4)(x^2 + x/2 + 1/16)
y + 15/16 = (-1/4) (x + 1/4)^2

The vertex would be at point ( -1/4, -15/16)
The focus would be determined as follows:
4p=-1/4 so p=-1/8
focus = (-1/4+(-1/8),-15/16) = (-3/8,-15/16)

Directrix = x = h - p
x = -1/4 - -1/8 = -1/8

Answer:

Vertex=(-4,3)

Focus=(-4, 2)

Directrix: y=4

Step-by-step explanation:

Given the equation

[tex]x^2+8x+4y+4=0[/tex]

we have to find the vertex, focus, and directrix of parabola.

[tex]x^2+8x+4y+4=0[/tex]

[tex]y=\frac{-x^2}{4}-2x-1[/tex]

[tex]h=\frac{-b}{2a}=\frac{2}{2(\frac{-1}{4})}=-4[/tex]

Now, k can be calculated by putting x=4 and y=k in given equation

[tex]k=-1-\frac{16}{4}-2(-4)=-1-4+8=3[/tex]

The vertex is (h,k) i.e (-4,3)

[tex]y=\frac{-x^2}{4}-2x-1[/tex]

[tex]y=\frac{1}{4}(-x^2-8x-4)[/tex]

[tex]=\frac{1}{4}(-x^2-8x-16+16-4)[/tex]

[tex]y=\frac{1}{4}(-(x+4)^4+12)[/tex]

[tex]y=\frac{-1}{4}(x+4)^2+3[/tex]

which is required vertex form [tex]4p(y-k)=(x-h)^2[/tex]

gives p=-1

Focus=(-4, 3+(-1))=(-4,2)

Now directrix can be calculated as

y=3-p=3-(-1)=4

what is (13x+9k)+(17x+6k) simplified

Answers

Final answer:

The expression (13x+9k)+(17x+6k) simplifies to 30x + 15k. This is done by adding the coefficients of the like terms which in this case are 13x with 17x, and 9k with 6k.

Explanation:

The expression (13x+9k)+(17x+6k) is a mathematical expression in algebra with two variables, x and k. The goal here is to simplify the expression by combining like terms. In mathematics, 'like terms' refer to the terms that have the same variables and powers. The coefficients of the like terms can be different.

Now to simplify this expression, we add the coefficients of the like terms. The like terms here are 13x and 17x, and also 9k and 6k.

Add 13x and 17x, you get 30x. And when you add 9k and 6k, you get 15k.

So, the simplified version of the given expression (13x+9k)+(17x+6k) is 30x + 15k.

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You unfold chicken wire to make a circular pen with a diameter of 2.9 meters. how many meters of chicken wire do you need?

Answers

circumference = PI x D

using 3.14 for PI

2.9 x 3.14 = 9.106 = 9.11 meters of chicken wire are needed.

Evaluate: 3 x 5 3x5 when x=2 x=2 . Select one: a. 486 b. 96 c. 30 d. 7,776

Answers

3x^5...when x = 2

3(2^5) =
3(32) =
96 <==

3x^5 x = 2

3(2)^5

3(32)

96

The answer is b

Which statement is true about the discontinuation of the function F(x)? F(x)=x+1/6x^2-7x-3

Answers

The answer to your question is:
there are holes at x= 3/2 and x=-1/3

-13x=90-2y
-6x=48-2y

Answers

Final answer:

The solution to the system of equations is x = 6 and y = 84.

Explanation:

The given equations are:

-13x = 90 - 2y

-6x = 48 - 2y

To find the values of x and y, we can solve the system of equations. We can start by multiplying the second equation by -2 to eliminate the y variable. This gives us:

12x = -96 + 4y

Now we have two equations:

-13x = 90 - 2y

12x = -96 + 4y

We can add the two equations together:

-13x + 12x = 90 - 2y + (-96 + 4y)

-x = -6

Then, we can divide both sides of the equation by -1 to solve for x:

x = 6

Substituting the value of x back into one of the original equations, we can solve for y. Let's use the first equation:

-13(6) = 90 - 2y

-78 = 90 - 2y

-2y = -168

y = 84

Therefore, the solution to the system of equations is x = 6 and y = 84.

How many roots do the following equations have?

-12x2 - 25x + 5 + x3 = 0

A. 4

B. 5

C. 3

D. 2

Answers

the answer is C. ( 3 )

Kyra is using rectangular tiles of two types for a floor design. A tile of each type is shown below: Two rectangular tiles, rectangle PQRS with vertices at P 5, 7. Q is at 9, 7. R is at 9, 12. S is at 5, 12 . Rectangle JKLM with vertices J 4, 5. K is at 6, 5. L is at 6, 10. M is at 4, 10. Which statement is correct?

Answers

Since there is no picture shown, I just plotted the given data points myself. That is shown in the attached picture. The blue rectangle is rectangle PQRS while the orange one is rectangle JKLM. I believe there are some choices for this question but you forgot to include. Nevertheless, I will give my observations from the given figure.

The tile PQRS is bigger than tile JKLM. A rectangle is a two-dimensional shape that has two sets of equal parallel planes. Thus, its area is equal to the length multiplied by its width.

tile PQRS = (9-5)*(12-7) = 20 units²
tile JKLM = (6-4)*(10-5) = 10 units²

Tile PQRS is larger by 10 units².

solve the equation 2x^2-1x=5x

Please enter any square root values using "sqrt" or the decimal answer rounded to the nearest hundredth (i.e. / = sqrt(2) or 1.41).

Answers

2x² - 1x = 5x
2x² - 1x - 5x = 0
2x²-6x=0
2x(x-3)=0
2x = 0 or x-3 = 0
x = 0 x = 3

Answer: x=0, x=3

Answer:

x=0, x=3

Step-by-step explanation:

Find the factorization of the polynomial below.

2x²+7x+6

A. (2x+2)(x+4)
B. (2x+2)(x+3)
C. (2x+3)(x+1)
D. (2x+3)(2x+2)

Answers

Using slip and slide
2x^2+7x+6
x^2+7x+12
(x+3)(x+4)
(2x+3)(x+2)
The best answer is none of the above.
When foiling the answer choices,
A: 2x^2+10x+8
B: 2x^2+8x+6
C: 2x^2+5x+3
D: 4x^2+10x+6

Answer:

(2x+3)(x+2)

Step-by-step explanation:

i hope this helps

Evaluate S5 for 600 + 300 + 150 + … and select the correct answer below

Answers

Answer:

Hence,

[tex]S_5=1162.5[/tex]

Step-by-step explanation:

We are asked to evaluate:

[tex]S_5[/tex]

We are given a geometric series.

( since each term of the series are in geometric progression as each term is half of the previous term of the series.

i.e. we have a common ratio of 1/2 )

Also, we know that sum of n terms in geometric progression is given by:

[tex]S_n=a(\dfrac{1-r^n}{1-r})[/tex]

where r is the common ratio.

a is the first term of the series.

Here we have:

[tex]a=600\ ,\ r=\dfrac{1}{2}[/tex]

Hence,

[tex]S_5=600(\dfrac{1-(\dfrac{1}{2})^5}{1-\dfrac{1}{2}})\\\\\\S_5=600(\dfrac{2^5-1}{2^4}})\\\\\\S_5=600(\dfrac{31}{16})\\\\\\S_5=1162.5[/tex]

The sum of the first five terms of the geometric progression 600 + 300 + 150 + … is 1162.5.

What is the ratio of geometric progression?

A geometric progression is the series of numbers where the ratio of the two consecutive numbers is always the same.

As it is given to us the sequence 600, 300, 150 is a geometric progression. Therefore, the first term of the progression is 600, while the ratio between the two terms are,

[tex]r = \dfrac{300}{600} = \dfrac{1}{2}[/tex]

Now, we know that the sum of the geometric sequence of the first 5 terms can be written as where the value of the n is 5,

[tex]S=a\dfrac{(1-r^n)}{(1-r)}[/tex]

[tex]S=600\dfrac{(1-(\dfrac{1}{2})^n)}{(1-(\dfrac{1}{2}))}[/tex]

[tex]S = 1162.5[/tex]

Hence, the sum of the first five terms of the geometric progression 600 + 300 + 150 + … is 1162.5.

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Vera and her roommates ate 1 1/3 pints of ice cream on Friday night and 1 1/6 pints of ice cream on Saturday night. How many pints did they eat in all

Answers

1 1/3 + 1 1/6

add the 1 +1 = 2

add 1/3 + 1/6 ( find common denominator, which in this case is 6)

so 1/3 becomes 2/6

2/6 + 1/6 = 3/6 which reduces to 1/2

they ate 2 1/2 pints total

Find the length of the hypotenuse of a right triangle with legs of lengths 5 and 12. If necessary, round your answer to two decimal places

Answers

Let "c" be the hypotenuse

By the Pythagorean theorem:

c² = 5² + 12² = 25 + 144 = 169
с = √169 = 13 units ← answer

Use the change of base formula to evaluate log4 20.

Answers

your calculator probably only evaluates in base 10 (ln is base e but we won't use that today)

so
[tex]log_a(b)=\frac{log_c(b)}{log_c(a)}[/tex]
where c is the new base
so if you wanted in base 10
[tex]log_4(20)=\frac{log_{10}(20)}{log_{10}(4)}[/tex]
using calculator, that is about 2.16096

how can exponential and logarithmic functions be created to use in real world situations?

Answers

In realistic world there are so many examples which use exponential and logarithmic functions.

Use of Logarithmic function
We can find use of logarithmic function in measuring earthquake (Richter Scale) , the brightness of stars , and chemistry(pH balance , measure of acidity and alkalinity)

For example:
In Richter Scale , a logarithmic function that is used to measure the magnitude of earthquake.
If A = measure of amplitude of earthquake wave.
[tex]A_o[/tex] = Amplitude of smallest detectable wave.
From this we can find R the Richter scale measure of magnitude of earthquake.
[tex]R = log \frac{A}{A_o} [/tex]

Use of Exponential Function:

Exponential function may use in finding compound interest , population growth , radioactivity decay , etc.

For example :
As we know the formula for compound interest is
[tex]A = P(1+ \frac{r}{n})^{nt} [/tex]
Where P is principal amount , r = rate of interest(decimal) , n is the number of compounding period , t is time.

For

An open box is formed by cutting squares with side lengths of 3 inches from each corner of a square piece of paper. what is a side length of the original paper if the box has a volume of 675 cubic inches?

Answers

The volume formula for a square or a rectangle, even, is V=l*w*h
Here, we are given our volume as 675, now we just have to find everything else, right?! Well, if you have a square, all 4 sides are the same exact length, so the length and the width of our formula are going to be the same so we only have to worry about finding a value for one and then use it twice. If you have a square of side length x and you cut 2 squares out of each side measuring 3 inches each, you are cutting away 6 inches. So the side now reflects a length of x - 6. Which is used for the length and the width in our formula. The height of the box will be 3 inches, or in other words, what you cut away from each corner to make a box in the first place! So our formula will look like this: 675 = (x - 6)(x - 6)3. Easiest thing to do is to divide away the 3 to get 225 = (x - 6)(x - 6). Now expand that by FOILing:
[tex]225= x^{2} -12x+36[/tex]
Set it equal to 0 to solve for x, the length and width of each side by moving the 225 over to the other side:
[tex] x^{2} -12x-189=0[/tex]
Now you just have to factor this. When you do, you get x values of 21 and -9. But we all know that you cannot have a side length be a negative number so the x value is 21. That's the side length of the original paper before you cut 6 inches away.

what is the radius of a circle given by the equation x^2+(y-3)^2=21

Answers

The radius is 4.583, just take the square root of 21

a bowl contains 80 M&M candies If 15 are orange what fraction of the candies is NOT orange. Answer reduced to lowest terms

Answers

65/80 can be reduced to 13/16.

So, it says that there are 80 M&M candies in a bowl. 15 are orange, so that means the others aren't orange. So, then you would do (the total number of M&M candies in the bowl)-(the number of orange M&M candies)=The number of M&M candies that are not orange. So, 80-15=65.
So, they are 65/80 in the bowl that aren't orange. But we aren't done yet. We need to find the lowest term for 65/80. First, we'll need to find what can go into 65 and 80 evenly without leaving a remainder. Yes, you guessed it, five can go into 65 and 80 without leaving a remainder. So, 65 divided by 5=13 and 80 divided by 5=16. So, your final answer is 13/16.
13/16 is the final answer. This is the lowest possible term for the number pf candies that aren't orange.
65/80=13/16
13/16 are the number of M&M candies that aren't orange.
Hope I helped.

What is the vertex of y=-6(2.5-x)(x-5.5)?

Answers

hello :

y=-6(2.5-x)(x-5.5) = -6(2.5x -13.75 -x² +5.5x)
y = -6(-x²+8x -13.75)
y = 6x²-48x+82.5
note :
if f(x) = ax²+bx +c the vertex is the point : ( -b/2a ; f(-b/2a))
a=6 b=-48 c = 82.5 .......calculate
-b/2a = -(-48)/2(6)= 4
f(4) =6(4)²-48(4)+82.5 =96 - 192 +82.5 = -13.5

I need help please :( !!!

Answers

Number of cans donated the first week = 132
Number of cans donated the second week = 146
Number of cans donated the third week = c, where c is some positive number

Add up the three values (132, 146, and c) to get 132+146+c. I'm choosing not to simplify because each answer choice hasn't simplified either.

The expression of 132+146+c represents the total amount of cans donated for weeks 1 through 3. We want "at least 325 cans", so that means the expression is 325 or larger. That translates to this inequality

[tex]132+146+c \ge 325[/tex]

The "greater than or equal to" sign indicates we want that sum to be 325 or larger.

Now we solve for c

[tex]132+146+c \ge 325[/tex]
[tex]278+c \ge 325[/tex]
[tex]278+c-278 \ge 325-278[/tex]
[tex]c \ge 47[/tex]

So the amount of cans donated for week three needs to be 47 or larger. If you collect exactly 47 cans for week three, then you meet the goal of 325 total cans. If you collect more than 47 cans for week three, then you exceed the goal of 325 total cans.

------------------------------------

In summary we have the inequality
[tex]132+146+c \ge 325[/tex]
which solves to
[tex]c \ge 47[/tex]

Meaning that the answer is choice D

The product of (4z2 + 7z – 8) and (–z + 3) is –4z3 + xz2 + yz – 24.
What is the value of x?
What is the value of y?

Answers

Answer:

[tex]\text{The value of x and y is } x=5, y=29[/tex]

Step-by-step explanation:

Given the product of two expressions

[tex]4z^2+7z-8\text{ and }-z+3\text{ is }-4z^3+xz^2+yz-24[/tex]

we have to find the value of x and y

First we find the product of

[tex]4z^2+7z-8\text{ and }-z+3[/tex]

[tex](4z^2+7z-8)(-z+3)[/tex]

Opening the brackets

[tex]4z^2(-z+3)+7z(-z+3)-8(-z+3)[/tex]

Using distributive property, a.(b+c)=a.b+a.c

[tex](-4z^3+12z^2)+(-7z^2+21z)+(8z-24)[/tex]

Combining like terms

[tex]-4z^3+(12z^2-7z^2)+(21z+8z)-24[/tex]

[tex]-4z^3+5z^2+29z-24[/tex]

which is required product.

[tex]\text{Now compare above product with given product }-4z^3+xz^2+yz-24[/tex]

[tex]x=5, y=29[/tex]

A liquid substance was left at the scene of the crime. Krisann uses a beaker that measures to the nearest tenth of a liter and finds that it is 4.9 liters. If there are five or more liters of the substance, it needs to be sent to the lab for testing. If it is less than five liters, the test can be done immediately. Does Krisann need to send the substance to the lab? Why or why not?

Answers

If the volume of the substance of 4.9 liters is from x rounded to the nearest tenth of a liter, that means 4.85 <= x < 4.95 then this does NOT leads to x > 5. Therefore the substance does not need to be sent to the lab.

The simple interest formula is I = Prt, where I represents simple interest on an amount, P, for t years at a rate of r. The equation solved for P is P = . What is the amount of money, P, that will generate $40 in interest at a 10% interest rate over 5 years? $60 $80 $90 $100

Answers

40=P x 10 x 5 / 100, use the solve function on the CAS calculator to find P

we know that

The simple interest formula is equal to

[tex]I=Prt[/tex]

where

I represents simple interest

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

[tex]t=5\ years\\ P=?\\ I=\$40\\r=0.10[/tex]

[tex]I=Prt[/tex]

Solve for P

[tex]P=I/(rt)[/tex]

substitute the values

[tex]P=40/(0.10*5)=\$80[/tex]

therefore

the answer is

[tex]\$80[/tex]

Last year the profit for a company was $560,000. This year's profit decreased by 7.1%. Find this year's profit.

Answers

Profit this year is
560,000−560,000×0.071
=520,240

If BE−→ B E → bisects ∠ABD and m∠ABE = 62°, find m∠ABD

Answers

Given:
Line segment BE bisects ∠ABD as shown in the figure.

Therefore
m∠ABE = m∠DBE
and
m∠ABD = m∠ABE + m∠DBE

Because m∠ABE = 62°, therefore m∠DBE = 62°, so that
m∠ABD = 62° + 62° = 124°

Answer: m∠ABD = 124°

Based on the definition of an angle bisector, m∠ABD = 124°.

What is Angle Bisector?

An angle bisector is a line segment that divides an angle into two smaller angles that are congruent.

BE is an angle bisector, therefore:

m∠ABD = 2(m∠ABE)

m∠ABD = 2(62)

m∠ABD = 124°

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The key idea of the transformation called a reflection is _____.

the object moves the plane a certain angle measure
the object moves in a straight line movement
the object and its image have opposite orientations
the rotating of a plane about a fixed point

Answers

The object and its image have opposite orientations

Answer: The object and its image have opposite orientations

Step-by-step explanation:

A reflection is a type of rigid transformation in which the preimage is flipped across a line of reflection to produce the image, such that the figure and its image have opposite orientations.

Since, it preserves distance.

Therefore, the points of the image have the same distance from the line as the points of pre-image on the opposite side of the line.

Hence, the right option is "the object and its image have opposite orientations".

For which value of m does the graph of y = 18x2 + mx + 2 have exactly one x-intercept?

Answers

this will be a parabola which will just touch the x access and will be a perfect square The discrimant b^2 - 4ac will be = 0 so we have

m^2 - 4*18*2 = 0
m^2 = 144

m = +/-12

so its m = 12 or -12

Answer:

Step-by-step explanation:

Evaluate the function rule for the given value. Y=6*4 for x=-3

Answers

Because x does not appear anywhere in the equation y=6*4, evaluate the equation by simply multiplying the numbers on the right side.
y=24

A game involves tossing a biased coin that has a 60% probability of landing on heads. If a player wins $50 when heads appears, what is the expected value of a player's winnings?

Answers

Probability of winning = 0.6 , Probability losing = 1-0.6 = 0.4

Expected value = 50(0.6) - 1(0.4) = $29.6

The interpreation of this is that if you play many times you would expect a profit of $29.6.

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