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Scrat [10]
3 years ago
14

294 blue balls, 252 pink balls and 210 yellow balls are distributed equally among some students with none left over. What is the

biggest possible number of students?
Mathematics
1 answer:
Savatey [412]3 years ago
6 0
You have to find the greatest number that divide 294, 252 and 210, i.e., the greatest common factor.

Then, you need to factor each number and calculate the product of the common factors raised to the lowest exponent.

294 = 2*3*7^2
252 = 2^2 * 3^2 * 7
210 = 2*3*5*7

Greatest common factor = 2*3*7 = 42

The biggest possible number of students to distribuute the balls equally is 42

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The percent error is 33.3%
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Read 2 more answers
Max has 5.50. He has eight more quarters than he does nickels. He had four times as many dimes as he has nickels. How many quart
Oliga [24]

Answer:

<h2>There are 13 quarters, 5 nickels and 20 dimes.</h2>

Step-by-step explanation:

Givens

  • Max has $5.50.
  • He has eight more quarters than he does nickels.
  • He had four times as many dimes as he has nickels.

From these statements, we can deduce algebraical expressions to solve the problem. Let's call q quarters, n nickels and d dimes.

q=n+8 (8 more quarters than nickels)

d=4n (he has four times as many dimes as he has nickels).

0.25q+0.05n+0.10d=5.50 (Max has a total of $5.50, one quartes is $0.25, one nickel is $0.05 and one dime is $0.10).

Let's replace the first two expressions into the third equation

0.25(n+8)+0.05n+0.10(4n)=5.50\\0.25n+2+0.05n+0.40n=5.50\\0.70n=5.50-2\\n=\frac{3.50}{0.70}\\ n=5

There are 5 nickels.

Now, we use this value to find the number of quarters

q=5+8=13

There are 13 quarters.

Also, d=4(5)=20

There are 20 dimes.

Therefore, there are 13 quarters, 5 nickels and 20 dimes.

3 0
3 years ago
What is the area of the paper used to wrap a can of soup if the can is 11 cm tall and has a diameter of 7.5 cm. Show all formula
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Notice that a can is a cylinder, which is basically two circles and one rectangle. Now, the question wants area of this rectangle.

You know the width of the rectangle (or the paper), which is 11cm. How do you find the length then?

Notice that the length of the rectangle is also the circumference of the circles. From here, use C = πd where C is circumference and d is diameter. The d is given, which is 7.5 cm. Depending on the question, π can be 3.14, 22/7 or the actual pi.

multiply π and 7.5cm and you get the circumference. Multiply this to 11cm and you get area of the rectangle.

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zmey [24]

Answer:

the function is only increasing.

Step-by-step explanation:

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What is the cost of a $1,200 washing machine after a discount of 1/5 the original price
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