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lapo4ka [179]
2 years ago
14

The owner of Animal Lovers Pet Shop has a total of 153 parakeets in 3 cages. Could each cage hold the same number of parakeets?

Explain how you found your answer.

Mathematics
2 answers:
Dmitrij [34]2 years ago
5 0

Step-by-step explanation:

51

is your answer

have a great day

I will always be there to help you in your assingments

#Captainpower #

Artemon [7]2 years ago
3 0

Answer:

153/3 = 51

each cage can hold the same number = 51

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Harper has $15.00 to spend at her grocery store. She is going to buy bags of fruit that cost $4.75 each and one box of crackers
Andrej [43]
First write the inequality:    15\leq4.75x +3.50

Then to solve, first subtract 3.50 from both sides to get:

11.50\leq4.75x

Then divide by 4.75 to get 2.42, and since you can't buy .42 of a bag  of fruit, you round down. So your final answer would be 2 bags of fruit.
7 0
2 years ago
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There are 12 boys and 16 girls in a classroom. which represents the simplified ratio of girls to students in the classroom?
Papessa [141]
The unsimplified version is 12:16
you have to find the highest common factor in them
in this case it would be 4
divide both numbers by 4 
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2 years ago
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The first task of the Segment Two Honors Project is to select the Power Pill study participants’ groups and research board offic
Tatiana [17]

Answer:

Part 1: There are 4.7*10^21 ways to select 40 volunteers in subgroups of 10

Part 2: The research board can be chosen in 32760 ways

Step-by-step explanation:

Part 1:

The number of ways in which we can organized n elements into k groups with size n1, n2,...nk is calculate as:

\frac{ n!}{ n1!*n2!*...*nk! }

So, in this case we can form 4 subgroups with 10 participants each one, replacing the values of:

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  • k by 4 groups
  • n1, n2, n3 and n4 by 10 participants of every subgroups

We get:

\frac{ 40!}{10!*10!*10!*10!} = 4.7*10^{21}

Part 2:

The number of ways in which we can choose k element for a group of n elements and the order in which they are chose matters is calculate with permutation as:

nPk = \frac{ n!}{(n-k)!}

So in this case there are 4 offices in the research board, those are director,  assistant director, quality control analyst and correspondent. Additionally this 4 offices are going to choose from a group of 5 doctors.

Therefore, replacing values of:

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We get:

\frac{ 15!}{ (15-4)! } = 32760

7 0
2 years ago
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the ratio of the number of galleons to the number of galleys in the Spanish armada was 5:1 what missing information could be use
Ahat [919]
Either the amount of galleons or the galleys.

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if given the amount of galleys, you can find the amount of galleons by multiplying the number of given galleys by 5.
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The ratio of the same side interior angles of two parallel lines is 1:14. Find the measures of all eight angles formed by the pa
prisoha [69]

Answer:

At the intersection of the first parallel line with the transversal, a = 12°, c = 168°, d = 12°, e = 168°. Counting counterclockwise from a.

At the first intersection of the second parallel line with the transversal, b = 168°, f = 12°, g = 168°, h = 12°. Counting clockwise from b.

Step-by-step explanation:

Let a be the first interior angle. Since they are in 1:14, the second same side interior angle is b = 14a.

We know that the sum of interior angles equals 180°.

So, a + b = 180°

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a = 180/15

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At alternate angle to the other interior angle, b adjacent to a is c = b = 14a = 14 × 12 = 168°

The angle vertically opposite to a is d = a = 12°

The angle vertically opposite to a is b = e = 168°

At the intersection of the second parallel line and the transversal, the angle alternate to a is f = a = 12°

the angle vertically opposite to angle b is g = b = 168°

the angle vertically opposite to f is h = 12°

4 0
2 years ago
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