aron lei is making identical balloon arrangements for a party. He has 32 maroon balloons and 24 white balloons, he wants each arrangements to have the same number of each color. what is tha greatest number of arrangements that he can make if every balloon is used?​

Answers

Answer 1

Answer:

The greatest number of arrangements that he can make if every balloon is used is 8.

Step-by-step explanation:

The greatest number of arrangements will be the greatest common factor between 24 and 32.

GCF of 24 and 32:

We keep factoring both numbers by prime factors, while they can both be divided by the same number. So

24 - 32|2

12 - 16|2

6 - 8|2

3 - 4

There is no factor for which we can divide both 3 and 4. So the GCF is 2*2*2 = 8.

This means that the greatest number of arrangements that he can make if every balloon is used is 8.


Related Questions

3 1/2 x 1 1/3
Please explain how to get the answer

Answers

Answer: 77/3 or 25.67

Step-by-step explanation:

3 1/2 * 11/3

3 * 2+1=7

7/3 * 11/3

7 * 11= 77

3 stays the same

77/3 or 25.67

Answer:

4 2/3

Step-by-step explanation:

You need to turn the fractions into improper fractions

To do that you multiply the whole number by the denominator and add the numerator, doing that will give you your new numerator, but the denominator stays the same

3 1/2. 3×2 = 6. 6+1=7 3 1/2 = 7/2

1 1/3. 1×3 = 3. 3+1 = 4. 1 1/3 = 4/3

Then multiply both numerator by each other and do the same for the denominators

7×4 = 28

2×3 = 6

28/6

Then simply it

28/6 = 4 2/3

If the ratio of green to yellow marbles is 2:3, what percent of the marbles are yellow?

Answers

Answer:

60 yellow marbles

Find the range.

3 -9 7 -1 5 -4 2 ​

Answers

Answer: The range is 94.

Hope this helps

Rise over run (-5,2) and (1,-2)

(4,10) and (-2,-5) slope

Answers

Answer/Step-by-step explanation:

6. Given, (-5, 2) and (1, -2):

[tex] \frac{rise}{run} = \frac{y_2 - y_1}{x_2 - x_2} [/tex]

[tex] = \frac{-2 - 2}{1 - (-5)} [/tex]

[tex] = \frac{-4}{6} [/tex]

[tex] = \frac{-2}{3} [/tex]

9. Given, (4, 10) and (-2, -5):

[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_2} [/tex]

[tex] = \frac{-5 - 10}{-2 - 4} [/tex]

[tex] = \frac{-15}{-6} [/tex]

[tex] slope = \frac{5}{2} [/tex]

Look at at pic attached! Pls hurry :( 21 points

Answers

Answer:

C option

Step-by-step explanation:

bcz root of 121 is 11. then 2/3 +11 will give you a rational number.

Answer:

2/7 + square root of 121 (the third one)

Step-by-step explanation:

a rational number is a number where if you write it as a fraction, both the numerator and denominator are integers (numbers like 1 and 2 but not like 3.4 or 5.6)

the equation simplified a bit looks like this:

2/7 + 11/1

anddd so all the numbers are integers which means that expression is correct :3

Write 25 x 10in standard form.

Answers

Answer:

Step-by-step explanation:

25 x 10=250

standard form is 2.5 x 10²

(4x5)to the power of 2-6+3=​

Answers

Answer:

if i understood right..

Step-by-step explanation:

... 2-6+3= 1

4×5= 20

1×20=20

the answer is 20.

I'm sorry if i understood the wrong thing.

397 i think! hope this is correct!

I need help on this with solutions please

Answers

Answer:

See answers below:

1. AAS2. ASA3. SAS4. HL5. SSS6. ΔABC ≅ ΔDFE7. ΔTRS ≅ ΔTUV8. ΔTRS ≅ ΔSUT9. ΔCAB ≅ ΔFDE

9 square root 3 divided by 3 square root 3

Answers

Answer:

[tex] \frac{9 \sqrt{3} }{3 \sqrt{3} } = \frac{9}{3} = 3 \\ [/tex]

3 is the right answer.

Need help with this one.

Answers

Answer:

1. 120

2. 2600

Step-by-step explanation:

6% of 2000 = 120

2000+120(5)

2000+600

=2600

Estimate the product of 2 & 4/11 and 16 & 1/5.
A. about 2 × 16 = 32
B. about 2 × 14 = 28
C. about 3 × 16 = 48
D. about 3 × 14 = 42

Answers

Answer:

a

Step-by-step explanation:

Determine what is closer to 2 4/11.

you would- 4/11 to get 2

you would +6/11 to get 3.

So 2 is closer

Do the same with 16 1/5

16 is closer

therefore, it is 2*16=32

Rewrite the function by completing the square. f(x)=x^2−2x+17

Answers

Answer:

[tex]f(x) = {x}^{2} - 2x + 17 \\ completing \: squares \\ divide \: the \: sum \: by \: 2 \: and \: the \: result \: to \: the \: {x}^{2} and \: subtract \: it \: from \: the \: product \\ in \: this \: case. \: our \: sum \: is \: 2 \\ f(x) = ({x}^{2} \times \frac{2}{2} ) + (17 - \frac{2}{2} ) \\ f(x) = {(x + 1)}^{2} + (17 - 1) \\ f(x) = {(x + 1)}^{2} + 16[/tex]

Two similar polygons are shown below:

Which transformation was performed on PQRS to form P′Q′R′S′?

a. A dilation factor of 2

b. A dilation factor of 4

c. A dilation factor of 1 over 2

d. A dilation factor of 1 over 4

Answers

Answer:

a. A dilation factor of 2

Step-by-step explanation:

S'R'/SR = 2/1 = 2

Hudson wants to ride his bicycle 51 miles this week. He has already ridden 12 miles. If he rides for 6 more days, what is the average number of miles he would have to ride each day to meet his goal?​

Answers

6.5 because 51-12 is 39 and 39 divided by 6 is 6.5 so about 6.5

Choose ALL answer choices equivalent to the ratio of snails to frogs?
A. 4:3
B: 3:4
C: 9:12
D: 12:9
E: 18:20
F: 27:36
And the picture shows that there are 4 frogs and 3 snails

Answers

Answers are A B and F I think if I’m wrong I’m really sorry

Pls help with math ASAP

Answers

125.6


Area of a circle = πr^2
Area of circle 1 = 3.14 × 11 × 11
=379.94cm^2
Area of circle 2= 3.14 × 9 ×9
=254.64cm^2
Area of a shaded region
=379.94cm^2 - 254.64cm^2
=125.60cm^2

Write the ratio 21 wins to 9 losses as a faction in simplest form.​

Answers

Answer: 7/3

Step-by-step explanation:

Divide both by 3

21/ 3 = 7

9 / 3 = 3

You get 7/3. Hope that helps!

Now let's assume that you have a newer toilet that uses 6 L per flush, but you are considering upgrading to a dual-flush toilet. If you flush the toilet four times per day, but three of those times you could use the 3 L flush, how many liters of water would you save in 1 year

Answers

Answer: 3,285 Liters

Step-by-step explanation:

In the actual case, all your flushes consume 6 L of water.

You flush 4 times per day, then you consume 4 times 6 L per day, this is:

4*6L = 24 L per day.

And in one year there are 365 days, then in one year you consume:

365*24 L = 8,760 L

Now, if you upgrade the toilet, now per day you use:

one time 6 L and 3 times 3 L

Then in day, you use:

1*6 L + 3*3 L = 6L + 9L = 15L

And in the complete year, you will use 365 times that, which is:

365*15 L = 5,475 L

The amount of water that you would save is equal to the difference between the amount that you use in one year with no upgrade (8,760 L) and the amount that you would use in a year if you upgraded your toilet ( 5,475 L)

The difference is:

D = 8,760 L - 5,475 L = 3,285 L

This means that, in this situation, you would save 3,285 liters of water per year if you upgrade your toilet.

Please help me with these questions FAST it's formal and I can't faillllllll!!!!!!,

Answers

A. I think it would be -40/297

Graph the function.


f(x)=−1/5x+4


Use the Line tool and select two points to graph.

Answers

Answer:

The coordinates are: (1,3.8), (2,3.6)

Now, plotting these points on graph as shown in figure.

Step-by-step explanation:

We need to graph the function: [tex]f(x)=-\frac{1}{5}x+4[/tex]

For drawing the graph, we need x and y coordinateness.

The can be found as following:

If we put x =1 in the given function, we will get:

[tex]f(x)=-\frac{1}{5}x+4\\Put\:x=1\\f(x)=-\frac{1}{5}(1)+4\\f(x)=-\frac{1}{5}+4\\f(x)=\frac{-1+4*5}{5}\\f(x)=\frac{-1+20}{5}\\f(x)=\frac{19}{5}\\f(x)=3.8[/tex]

So, we get when x =1 f(x) or y = 3.8

Now for finding second point, we put x =2 in the given function

[tex]f(x)=-\frac{1}{5}x+4\\Put\:x=2\\f(x)=-\frac{1}{5}(2)+4\\f(x)=-\frac{2}{5}+4\\f(x)=\frac{-2+4*5}{5}\\f(x)=\frac{-2+20}{5}\\f(x)=\frac{18}{5}\\f(x)=3.6[/tex]

So,  we get when x =2 f(x) or y = 3.6

The coordinates are: (1,3.8), (2,3.6)

Now, plotting these points on graph as shown in figure.

You find 1 on x-axis and 3.8 on y-axis for first point (1,3.8)

Similarly You find 2 on x-axis and 3.6 on y-axis for second point (2,3.6)

First try was incorrect
Ethan sells balloons at the fair. He sells 1810 balloons in 10 hours on
Tuesday and 1086 balloons in 6 hours on Saturday.
What is the constant of proportionality that relates the total number of
balloons sold, y, to the number of hours selling balloons, x?
label optional
x f(x) VX X
X

(x) < > T

Answers

Answer: 6.55

Step-by-step explanation:

24 + 7 and 9 * ( 24 + 7 )

Answers

Answer:

1. 31

2. 279

Step-by-step explanation:

1. simple addition

2. simple multiplication

Help please asap thx

Answers

Answer:

2 and a half, but it wants it as a mixed fraction which would be 5/2

Step-by-step explanation:

i hope this helped :)

Answer:

5/2.................

Find the vertex of the parabola. y = negative 4 x squared + 24 x minus 35 a. ( -3, 1) c. ( 3, 1) b. ( -3, -1) d. ( -1, -3)

Answers

Answer:

(3, 1)

Step-by-step explanation:

y = -4x² + 24x - 35

Find the vertex by using the formula:

(h, k) → [tex]\displaystyle \Big [ -\frac{b}{2a}, \ f \Big (-\frac{b}{2a} \Big ) \Big ][/tex]

In this problem, we have:

a = -4 b = 24 c = -35

Using 24 for b and -4 for a, we can substitute these values into the vertex formula:

[tex]\displaystyle -\frac{b}{2a} \rightarrow -\frac{24}{2(-4)} = \frac{-24}{-8} = 3[/tex]

The h-value for the vertex is 3.

Now let's plug 3 back into the standard form equation to solve for the k-value of the vertex.

[tex]-4x^2 + 24x - 35 \rightarrow -4(3)^2+24(3)-35 = -36 + 72 - 35 = 1[/tex]

The k-value for the vertex is 1.

The vertex of the parabola is (3, 1).

help meh pls! I will give brainleist if correct omgawd pls!

Answers

Answer:

5= (1/4)c

Step-by-step explanation:

Mandi has $52 and would like to buy some magazines. Each magazine costs $8. How many magazines can Mandi buy? How much more money would she need to buy another magazine?

Answers

She can buy 6 magazines and she needs 4 more dollars to buy another

The school store sells pens for $0.70 each and pencils for $0.30 each. Anthony spent $2.70 to buy a total of 5 pens and pencils.How many pencils
did Anthony buy? ___ pencils

Answers

Answer:

Pencils=2

Step-by-step explanation:

Pencils-n

-0.70 - 0.70 = -3.5

0.70p + 0.30 = 2.7

-0.4n = -0.8

-0.4      -0.4

n=2

What is the solution set for this inequality 55 > 7cm + 6

Answers

Answer:

Answer:

First, we will substitute x for cm, and then graph the equation to find the solution

Step-by-step explanation:

Therefore, the answer is (7,0)

Convert 8% to a fraction/mixed number and a decimal. Select all that apply.

Answers

Answer:

hope this helps :)

Step-by-step explanation:

Decimal - 0.008

Simplifed fraction -- 2/25

Answer:

[tex]8\% = \frac{2}{25} in \: fraction \\ 8\% = \frac{8}{100} = 0.08 \: in \: decimal[/tex]

Evaluate the expression 2 + 23 × 5 - 3.

20
39
37
47

Answers

The expression after evaluating results in the number 114.

What is BODMAS Rule?

BODMAS rule is the rule used when solving expressions involving more than one operations.

It is the abbreviation of Brackets, Order, Division, Multiplication, Addition, Subtraction, which is the order of the operations to be done.

The expression given is,

2 + 23 × 5 - 3

We have to evaluate the expression in the order of BODMAS.

There are no brackets and orders and division.

Start with the multiplication.

2 + 23 × 5 - 3 = 2 + 115 - 3

Next do the addition.

2 + 115 - 3 = 117 - 3

                  = 114

Hence the value of the expression given is 114.

To learn more about BODMAS Rule, click :

https://brainly.com/question/16738857

#SPJ2

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