Split 90 into two parts so tha one part is 4 times the other part

1 answer:

7 0

so, we'll end up with two parts, one being 4 times larger than the other, namely if the other is 1 slice, then the large part is 4 slices, meaning both parts will be on a 4:1 ratio.

well, simply enough, we can simply split 90 in (4+1) pieces, and then distribute accordingly to each part

$\bf \cfrac{\textit{large part}}{\textit{small part}}\qquad \qquad \stackrel{ratio}{4:1}\qquad \cfrac{4\cdot \frac{90}{4+1}}{1\cdot \frac{90}{4+1}}\implies \cfrac{4\cdot 18}{1\cdot 18}\implies \boxed{\cfrac{72}{18}}$

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Which expression is equivalent to 36/(4 + y)?

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Answer:

B) 36/(y+4)

Step-by-step explanation:

Use the process of elimination.

A cannot work because we are changing the operation. Instead of dividing thirty-six by the sum of four and a number, we are dividing thirty-six by four, then adding the unknown number. This is not the same as the original expression, so we know it is not this.

Next, check C. C doesn't seem right either. Remember that, unlike multiplication and addition, you cannot flip the order in which the operation is being done and still get the same answer. C says four plus a number divided by thirty-six, which is entirely different from our original expression. So the answer is not C.

And finally, check D. D doesn't work either. With D, we are dividing thirty-six by a number, then adding it to thirty-six divided by four. This is not the same as our original expression, so D isn't it.

That leaves us with B. Does it work? Yes, because changing the y and the four still will give the same thing. And yes, because 36 is being divided by the sum of that number and four. So it is our answer.

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A bag contains an unknown number of marbles. You know that P(red) = 1 and P(green) = 1. What can you conclude about how many mar

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The number of marbles in the bag illustrates probability

The conclusion about the number of marbles in the bag is that the bag can only contain one type of marble

<h3>The number of marbles in the bag?</h3>

The probabilities are given as:

P(Red) = 1

P(Green) = 1

For a distribution, the sum of all probabilities must equal to 1.

This means that:

P(Red) + P(Green) = 1

So, we have:

1 + 1 = 1

This gives

2 = 1

The above equation is false because 2 does not equal to 1.

So, the conclusion about the number of marbles in the bag is that the bag can only contain one type of marble i.e. either red marbles are in the bag or blue marbles are in the bag