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DiKsa [7]
3 years ago
7

A marble factory makes single marbles, then puts them in boxes of 10, cartons of 100, and crates of 1,000. How can the marble fa

ctory package 21,650 marbles?
Mathematics
1 answer:
Tju [1.3M]3 years ago
3 0

Given, a marble factory makes single marbles and then puts them in boxes of 10, cartons of 100 and crates of 1000.

There are 21,650 marbles. We have to find how many boxes, cartons and crates are there.

We have to write 21,650 in the form of 1000, 100 and 10.

We can write 21,650 in the form of 1000 as, (21)(1000) = 21000

Now there (21650-21000) = 650 left.

We can write 650 in the form of 100 as, (6)(100) = 600

So there, (650-600) = 50 left.

Now we can write 50 in the form of 10 as, (5)(10) = 50.

So we can write 21,650 as,

21650 = (21)(1000)+(6)(100) + (5)(10)

So there are 21 crates, 6 cartons and 5 boxes in the marble factory package.

We have got the required answer here.

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<u>Step-by-step explanation:</u>

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First, find the slope (m) and then the perpendicular (opposite reciprocal) slope:

m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\m=\dfrac{-5-1}{2-4} = \dfrac{-6}{-2}=3\quad \rightarrow \quad m_{\perp}=-\dfrac{1}{3}\\

Next, find the midpoint of (4, 1) and (2, -5):

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y - y_1 = m_{\perp}(x - x_1)\\\\y - (-2) = -\dfrac{1}{3}(x - 3)\\\\y + 2=-\dfrac{1}{3}x +1\\\\y =-\dfrac{1}{3}x - 1\\


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Answer:

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