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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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If the ratio of purple marbles to orange marbles is 3 to 8, how many orange marbles will I have if I have 48 purple marbles?
sveticcg [70]

Answer:

You will have 128 orange marbles

Step-by-step explanation:

Set this up as an equation

Variable x = number of orange marbles

3/8 = 48/x

Cross multiply

3 × x = 8 × 48

3x = 384

Divide both sides by 3 to isolate the variable

3x ÷ 3 = 384 ÷ 3

1x = 128

x = 128

128 orange marbles

Check work:

Substitute the variable x for the answer

3/8 = 48/128

Cross multiply

3 × 128 = 8 × 48

384 = 384

If the numbers equal, the answer is correct

6 0
3 years ago
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juan needs to measure 6 cups of flour for a recipe.he only has a 1/4 cup measuring cup.how many times must he fill the measuring
Luba_88 [7]

Answer:

Juan would need to fill up the 1/4 measuring cup 24 times.

Step-by-step explanation:

So to measure one cup of flour with a 1/4 measuring cup, you would need to fill up the 1/4 measuring cup 4 times. Since we want 6 cups, you would need to fill up the 1/4 measuring cup 24 times. 6 times 4 = 24. Hope this helps!

7 0
3 years ago
Which mathematical equation represents the solution for k in the equation h + 3 = jk + 6k ?
Tomtit [17]

Answer:

The answer is<u> D.</u> h+3/j+6.

Step-by-step explanation:

Given:

The equation h + 3 = jk + 6k.

Now, to get the mathematical expression.

h + 3 = jk + 6k

So, taking k common on R.H.S we get:

h + 3 = k(j + 6)

Then, dividing both sides by j+6  we get:

\frac{h+3}{j+6} =k

Thus,

k=\frac{h+3}{j+6}

Therefore, the answer is D. h+3/j+6.

5 0
3 years ago
What is the equation of the line????????
IrinaVladis [17]

Answer:

y=1/2x+2

Step-by-step explanation:

The equations come in the form of y=mx+c, where m is the gradient and c is the y-intercept. Looking at the graph we know that the y-intercept is (0,2), so that rules out options B and C.

To find the gradient is a little more tricky, but we can follow the formula:

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So we sub in our values:

\frac{2}{4}

And simplify:

\frac{1}{2}

So now we sub in our new found values into y=mx+c:

y=1/2x+2

8 0
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What is another form for 1.12
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1 and 3 over 25

Be sure to rate me up and give me a thanks :D
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