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3 years ago

Now write a ratio of cups of sugar to

Mathematics

1 answer:

jolli1 [7]3 years ago

6 0

What are the numbers that showed be in the ratio? I would love to help

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What is the minimum number of times you must throw three fair six-sided dice to ensure that the same sum is rolled twice?

Vladimir [108]

For three fair six-sided dice, the possible sum of the faces rolled can be any digit from 3 to 18.
For instance the minimum sum occurs when all three dices shows 1 (i.e. 1 + 1 + 1 = 3) and the maximum sum occurs when all three dces shows 6 (i.e. 6 + 6 + 6 = 18).

Thus, there are 16 possible sums when three six-sided dice are rolled.

Therefore, from the pigeonhole principle, the minimum number of times you must throw three fair six-sided dice to ensure that the same sum is rolled twice is 16 + 1 = 17 times.

The pigeonhole principle states that if n items are put into m containers, with n > m > 0, then at least one container must contain more than one item.

That is for our case, given that there are 16 possible sums when three six-sided dice is rolled, for there to be two same sums, the number of sums will be greater than 16 and the minimum number greater than 16 is 17.

4 0

3 years ago

Find four consecutive multiples of 3 such that the product of the first, third, and fourth is 1080

Dovator [93]

Answer:

Therefore, we have 6, 9, 12, and 15, that are the first, second, third and fourth consecutive multiples of 3, such the product of 6, 12 and 15 is 1,080.

Step-by-step explanation:

Let's find the factors of 1,080, as follows:

1,080 Dividing by 2 (1,080/2)

540 Dividing by 2 (540/2)

270 Dividing by 2 (270/2)

135 Dividing by 3 (135/3)

45 Dividing by 3 (45/3)

15 Dividing by 3 (15/3)

5 Dividing by 5 (5/5)

In consequence, we have:

5 * 3 * 3 * 3 * 2 * 2 * 2

Let's find out what multiples of 3 there are:

5 * 3 = 15 is a multiple of 3,

And 3 * 3 * 2 * 2 * 2 is remaining.

3 * 2 = 6 is also a multiple of 3,

And 3 * 2 * 2 is remaining

3 * 2 * 2 = 12 is also a multiple of 3.

Therefore, we have 6, 9, 12, and 15, that are the first, second, third and fourth consecutive multiples of 3, such the product of 6, 12 and 15 is 1,080.

7 0

3 years ago

What is an algebraic expression that has no like terms and no parentheses is in this form

vaieri [72.5K]

"Simplest form is the one algebraic expression that has no like terms and no parentheses is in this form. This is actually the simplest way of describing an algebraic expression. I hope that this is the answer that you were looking for and it has actually come to your desired help.

8 0

3 years ago

Read 2 more answers

20. Solve for x when 18x = 2/3 Provide your answer as a fraction. please do not do website

serious [3.7K]

18x/18 = 2/3 • 18
Flip reciprocal of 18 which is 1/18 so it would be 2/3 • 1/18 the 2 and 18 can be simplified when cross multiples so it would then be 1/3 • 1/9 which is x=1/27

3 0

2 years ago

Wich number does not represent a whole number

erica [24]

C. 20/4 because a fraction isn’t a whole number.

7 0

3 years ago