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Andru [333]
3 years ago
6

Gary found 72 shells and 40 coins at the beach. He wants to give them to some of his friends. Each friend will receive the same

number of shells and the same number of coins. What is the greatest number of friends Gary can give shells and coins to? How many shells will each friend receive? How many coins?
Mathematics
1 answer:
Zina [86]3 years ago
5 0

Answer:

8 friends, 9 shells and 5 coins.

Step-by-step explanation:

For this question you will need to know how to factorise a number in prime numbers.

72/2 => 36/2 => 18/2 => 9/3 => 3

So 72 is 2*2*2*3*3 = 72

Then 40 = 2*2*2*5

Their common factors are 2*2*2 = 8

So there's only 8 friends at most to have whole numbers.

To see how many shells you only need to do 72/8 = 9

For the coins, 40/8 = 5

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Dorji thought of a number. He first multiplied the number by 3 and then subtracted 12
jeyben [28]

Answer

The answer is 24

Step-by-step explanation

  • 24 x 3 = 72
  • 72 - 12 = 60
  • 60/6 = 10
  • 10 - 4 = 6
6 0
3 years ago
A seasonal index for a monthly series is about to be calculated on the basis of three years’ accumulation of data. The three pre
yarga [219]

Answer:

0.684

Step-by-step explanation:

According to the scenario, computation of the given data are as follows

Seasonal index = Average value for July ÷ Average over all months

Where, Average value for July = ( 110 + 150 + 130 ) ÷ 3

= 390 ÷ 3 = 130

And, average over all months = 190

So by putting the value in the formula, we get

Seasonal index = 130 ÷ 190

= 0.684211 or 0.684

Hence, approximate seasonal index for July is 0.684.

6 0
3 years ago
The cost of 7 chairs and 2 tables is equal.If the cost of 6 chairs and 5 tables is 10575, find the cost of 12 chairs.​
Igoryamba

Answer:

5400

Step-by-step explanation:

Let x represent the cost of a chair and y represent the cost of a table. We can use this to set up a system of equations:

7x=2y

6x+5y=10575

We can solve this system using substitution.

Start by rewriting the first equation in terms of x.

7x=2y\\\text{Divide both sides by 7}\\x=\frac{2}{7}y

Substitute this into the second equation:

6(\frac{2}{7}y)+5y=10575\\\frac{12}{7}y+5y+10575\\\frac{12}{7}y+\frac{35}{7}y=10575\\\frac{47}{7}y=10575

Multiply both sides by 7

47y=74025

Divide both sides by 47

y=1575

This means...

7x=2(1575)\\7x=3150

Divide both sides by 7

x=450

One chair costs 450. Now, multiply this number by 12 to find the cost of 12 chairs.

450*12=5400

12 chairs cost 5400.

7 0
2 years ago
Which is the more reasonable measure for the length of a car?<br> 50m<br> 5cm<br> 5m<br><br> Thanks
Roman55 [17]

Answer:

5m

Step-by-step explanation:

8 0
2 years ago
A simple dart target has two concentric circles. The larger circle has a radius of 4. The smaller circle has a radius of 2. The
Natali5045456 [20]

Answer:

3 times more.

Step-by-step explanation:

The odds of landing a dart in any of the circles correspond to the surface area of the circle.

Calculate the surface area of both circles:

The formula for the area of a circle is \pi r^{2}.

  • inner circle: A=\pi 2^{2}=12.566
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Calculating greater chance:

Divide the larger area by the smaller area:

37.699/12.566 = 3

That means that the area of the outer circle is 3 times larger, making it 3 times more likely to hit the outer circle. Therefore the points for hitting the inner circle should be 3 times more.

7 0
3 years ago
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