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damaskus [11]
3 years ago
13

A boy has 6 red , 5 yellow and 4 green marbles. In how many ways can the boy arrange the marbles in a line if:

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
7 0

A.

\dfrac{15!}{6!5!4!}=\dfrac{7\cdot8\cdot\ldots\cdot14\cdot15}{2\cdot3\cdot4\cdot5\cdot2\cdot4\cdot4}=630630

B.

15!=1307674368000

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Write the decomposition that helps you, and then round to the given place value. Draw number lines to explain your thinking. Cir
egoroff_w [7]

Further explanation

There are general rules used in rounding numbers

1. Determine the rounded digit

2. Pay attention to the digits afterward (right). If the digit shows the numbers 0, 1, 2, 3 or 4, then the digit to be rounded is fixed, and the digit on the right is 0 all

3. If the digit on the right shows the numbers 5, 6, 7, 8 or 9, then the digit to be rounded is added to one, and the digit on the right side is made all 0

In rounding the nearest hundreds number, then we see the digit in the number tens (right of the digit hundreds), if it is worth 0, 1, 2, 3 or 4, then it remains, but if it shows numbers 5, 6, 7, 8 or 9, then the digit to be rounded is added one, and the right-hand side is 0

Calculated from the decimal point, the place on the right represents tents, hundredths, thousandths, etc.

a.  32.697

Decomposition

ten : 3

one : 2

tenth : 6

hundredth : 9

thousandths : 7

For the tenth number is 6, the value on the right is 9 then rounded become 32.7

For the hundredth number is 9, the value on the right is 7 then rounded become 32.70

for the one number is 2 , the value on the right is 6 then rounded become 33

b. 141.999

Decomposition

hundred : 1

ten : 4

one : 1

tenth : 9

hundredth : 9

thousandths : 9

a. For the tenth number is 9, the value on the right is 9 then rounded become 142.0

For the hundredth number is 9, the value on the right is 9 then rounded become 142.00

For the ten number is 4, the value on the right is 1 then rounded become

14

For the ten number is 1, the value on the right is 4 then rounded become

142

<h3>Learn more </h3>

five numbers that are round up and round down to 600

brainly.com/question/258166

all the numbers that round to 50

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round 4,398,202 to the nearest 100

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Round number 4278649 to nearest 100

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Keywords: round up, round down, the rounded digit

7 0
3 years ago
Explain why it works to break apart a number by place values to multiply
Illusion [34]
It works because even if the numbers are broken apart, you are still multiplying the numbers by their values, it's only different because once broken apart, it's in expanded form instead of standard form. It also makes multiplication easier since you don't have to deal with such large numbers.
6 0
3 years ago
Read 2 more answers
The intersection of lines y=-14x+3 and y=-32x+3 is .
Kamila [148]

The intersection of lines y=-14x+3 and y=-32x+3 is (0, 3)

<h3>How to determine the intersection of the lines?</h3>

The lines are given as:

y = -14x + 3 and y = -32x+3

Substitute y = -32x+3 in

-32x+3 = -14x + 3

Evaluate the like terms

-18x = 0

Divide by -18

x = 0

Substitute x = 0 in y = -14x + 3

y = -14(0) + 3

Evaluate

y = 3

Hence, the intersection of lines y=-14x+3 and y=-32x+3 is (0, 3)

Read more about linear equations at:

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6 0
2 years ago
Amy wants to carpet a room that is 12 feet by 8 feet.
Alex17521 [72]
1\ ft=0.333\ yards\\8\ ft=8\cdot0.333=2.664\ yards\\12\ ft=12\cdot0.333=3.996\ yards\\\\2.664\cdot3.996=10.645\ square\ yards\\\\She\ need\ 10.645\ square\ yards\ of\ carpet.
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3 years ago
Emily took 300 US dollars to the bank to exchange it for Canadian dollars. The exchange rate on that day was 1.25 Canadian dolla
Paha777 [63]

Emily wanted to exchange her 300 US Dollars for Canadian Dollars.

The exchange rate for it was 1.25 Canadian Dollars for 1 US Dollar.

This means that 1 US Dollar = 1.25 Canadian Dollars.

So if we were to follow this pattern,

2 US Dollars = 2 × 1.25 = 2.5 Canadian Dollars

3 US Dollars = 3 × 1.25 = 3.75 Canadian Dollars

4 US Dollars = 4 × 1.25 = 5 Canadian Dollars

So for 300 US Dollars, we'll need to multiply 300 by 1.25.

300 US Dollars = 300 × 1.25 = 375 Canadian Dollars.

Hope it helps. :)

4 0
3 years ago
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