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ahrayia [7]
3 years ago
10

There are 30 chairs in the band room mr avery wants to have the same number of chairs in each row there must be more than 1 row

and the number of chairs in each row must also be greater than the number of rows explain how mr avery could arrange the chairs
Mathematics
1 answer:
kari74 [83]3 years ago
6 0

Answer:

(Rows, chairs)= (2,15), (3,10), (5,6)

Step-by-step explanation:

Given: There are 30 chairs in the band room.

Criteria: There has to be same number of chairs in each row. There must be more than one row and the number of chairs in each row must also be greater than the number of rows.

First finding the divisor of 30:

1,2,3,5,6,10,15,30

Now, we need to look into divisor which qualify the criteria in the multiple of rows and number of chairs.

∴ 30= 2\times 15

  30= 3\times 10

  30= 5\times 6

∴ Mr Avery can use either of these option to arrange rows and chairs.

(Rows, chairs)= (2,15), (3,10), (5,6)

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VARVARA [1.3K]

Answer:  -3/10

Step-by-step explanation: A positive and a negative will subtract.

1. Find the common denominator (8/10)

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3 years ago
There are some nickels, dimes, and quarters in a large piggy bank. For every 2 nickels there are 3 dimes. For every 2 dimes ther
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Answer: a) Number of nickels, dimes, and quarters are 80, 120, 300 respectively.

b) The coins are worth of 91 dollars i.e. $91 in the piggy bank.

Explanation:

Since we have given that

For every 2 nickels there are 3 dimes ,

So, their ratio will be 2:3

and for every 2 dimes there are 5 quarters.\,

So, their ratio will be 2:5

Now, we'll first find the ratio of nickles to dimes to quarters i.e.

Nickle  Dimes  Quarters

2            3

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So, it becomes ,

Nickle : Dimes : Quarters

2×2     : 3×2        : 3×5

4         : 6            :  15

Now, let the number of nickle be 4x

Let the number of dimes be 6x

Let the number of quarters  be 15x

According to question,

4x+6x+15x=500\\\\25x=500\\\\x=\frac{500}{25}=20

So, number of nickels is given by

4x=4\times 20=80

Number of dimes is given by

6x=4\times 20=120

Number of quarters is given by

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As we know that

1\ nickel=5\ cents\\\\1\ dime=10\ cents\\\\1\ quarter=25\ cents

So, According to our question, we get

80\times 5+120\times 10+300\times 25=400+1200+7500=9100\ cents\\\\1\ cent=0.01\ dollar\\\\9100\ cents=9100\times 0.01\ dollars=91\ dollars.

Hence,

a) Number of nickels, dimes, and quarters are 80, 120, 300 respectively.

b) the coins are worth of 91 dollars i.e. $91 in the piggy bank.


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