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Kaylis [27]
3 years ago
11

A party host is making identical party bags for guests using 44 bottles of bubbles, 89 stickers, and 55 pencils. What is the gre

atest number of identical party bags the host can make with the least amount of items leftover? Describe the contents of each bag.
Mathematics
1 answer:
Umnica [9.8K]3 years ago
7 0

Answer: 11 party bags with 1 sticker leftover

Each bag contains 4 bubbles, 8 stickers, and 5 pencils.

<u>Step-by-step explanation:</u>

Find the GCF of 44 (bubbles), 89 (stickers), and 55 (pencils)

44: 2 x 2 x <u>11</u>

89: prime so choose 88 with 1 leftover

88: 2 x 2 x 2 x <u>11</u>

55: 5 x <u>11</u>

GCF = 11

Disregard the GCF to see how many of that item should go in each bag.

Bubbles: 2 x 2

Stickers: 2 x 2 x 2

Pencils: 5



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A fertilized egg receives 50% of its chromosomes from sperm and 50% from the egg. Which process ensures that the sperm and egg c
saul85 [17]

Answer:

           

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
What is the distance between the points (4, -2) and (-1, 10)?
Tju [1.3M]

Answer:

13 units.

Step-by-step explanation:

We can find distance between points by using the following formula:

\sqrt{(change in x)^2+(changeiny)^2}

The change in x is -5, and change in y is 12. Let's apply this to the formula.

\sqrt{(-5)^2+(12)^2}. Evaluate this, and we get 13.

Hope this helped!

5 0
3 years ago
Explain how the Distributive Property can be used to expand the expression on the left side of the equation. 3(x + 4) = 36.
Tpy6a [65]

Hello!

<em><u>Answer:</u></em>

<em><u>x=8</u></em>

<em><u>*The answer must have a positive sign.*</u></em>

Step-by-step explanation:

Distributive property: a(b+c)=ab+ac

First, you divide by 3 from both sides of an equation.

\frac{3(x+4)}{3}=\frac{36}{3}

And then, you simplify. Then you can also divide by the numbers too.

36/3=12

x+4=12

Next, you subtract by 4 from both sides of an equation.

x+4-4=12-4

And finally, simplify and solve. You subtract by the numbers.

12-4=8

Final answer: → x=8

Hope this helps!

Thanks!

-Charlie

Have a great day!

:)

:D

5 0
3 years ago
Read 2 more answers
Four students (A, B, C, and D) are interviewing for an all-expenses-paid vacation to a country of their choice. Only one student
Shkiper50 [21]

Answer:

A. 0.36 ; B. 0.72

Step-by-step explanation:

Probability of A, B, C, D to win the interview = P(A), P(B), P(C), P(D)

Given : P(A) = 2 P(B)    ∴ P(B) = P(A) / 2

P(B) = 2/3 P(C)   ∴ P(C) = 3/2 P(B)   ∴ P(C) = 3/2 [P(A) / 2 ]

So, P(C) = 3/4 P(A)

P(C) = 1.5 P(D)   ∴ P(C) = 3/2 P(D)      ∴ P(D) = 2/3 P(C)

∵ P(C) = 3/4 P(A)   ∴ P(D) = 2/3 [3/4 P(A)]

So, P(D) = 1/2 P(A)

Either of them will definitely win the interview. So probability of A or B or C or D winning = 1

So, P(A) + P(B) + P(C) + P(D) = 1

Putting above values : P(A) + P(A) / 2 + 3/4 P(A) + 1/2 P(A)  =  1

P(A) [1+ 1/2 + 3/4+ 1/2]  =   [(4+2+3+2) /4] P(A)

∴ 2.75 P(A) = 1

So, P(A) = 1/2.75 = 0.36

P(B) = P(A)/2 = 0.36 /2 = 0.18

P(C) = 3/4 P(A) = 0.36 (3/4) = 0.27

P(D) = P(A)/2 = 0.36 /2 = 0.18

A. Probability A wins election = 0.36

B. Probability C doesn't win election = Pr A or B or D win election

= Pr (A) + Pr (B) + Pr (D) = 0.36 + 0.18 + 0.18 = 0.72

4 0
3 years ago
36 is what percentage of 128?<br> A. <br> B. 28 %<br> C. 28.125 %<br> D. 4,608%
skad [1K]

Answer:

C is the correct answer:

<h2>Solution for 36 is what percent of 128:</h2>

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 128 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 128, so we can write it down as 100%=128.

4. We know, that x% equals 36 of the output value, so we can write it down as x%=36.

5. Now we have two simple equations:

1) 100%=128

2) x%=36

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=128/36

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36 is what percent of 128

100%/x%=128/36

(100/x)*x=(128/36)*x - we multiply both sides of the equation by x

100=3.55555555556*x - we divide both sides of the equation by (3.55555555556) to get x

100/3.55555555556=x

28.125=x

x=28.125

<h3>now we have:</h3>

36 is 28.125% of 128

Step-by-step explanation:

Hope it is helpful....

7 0
2 years ago
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