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sladkih [1.3K]
3 years ago
13

In how many ways can five children posing for a photograph line up in a row?

Mathematics
1 answer:
Shtirlitz [24]3 years ago
5 0

Answer:

number of ways = 120

Step-by-step explanation:

The number of ways five children can pose for a photograph line up in a row is given by the number of permutations of 5 elements in 5 different positions (positions in the line), then

number of ways = number of permutations of 5 elements = 5! = 5 * 4 * 3 * 2 * 1 = 120

Since the first children that occupies the line can be on any of the positions (5 positions) , but then the second one can choose any of the 4 remaining positions (since the first children had already occupied one) , the third can choose 3 ... and so on.

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One zero of x3 – 3x2 – 6x + 8 = 0 is -2. What are the other zeros of the function?
hram777 [196]
Consider this solution, if it is possible, check the result:
1) if to divide polynomial 'x³-3x²-6x+8' on 'x+2' result is: x²-5x+4, then x³-3x²-6x+8=(x+2)(x²-5x+4);
2) x²-5x+4=(x-1)(x-4), then
3) x³-3x²-6x+8=(x+2)(x-1)(x-4).
4) zeros are: -2;1;4. Other zeros are: 1 and 4.
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3 years ago
How much does a glass cube with a side of 5-cm weigh if 1cm3 of glass weighs 2 2/5 grams?
PtichkaEL [24]

The weight of galss cube with side 5 cm is 300 grams

<em><u>Solution:</u></em>

A glass cube is of side length 5 cm

Let us first find the volume of glass cube

<em><u>The volume of cube is given as:</u></em>

volume = (side)^3\\\\volume =5^3 = 125

Thus volume of cube is 125 cm^3

Given that,

1 cm^3 = 2\frac{2}{5} \text{ grams }\\\\1 cm^3 =\frac{12}{5} \text{ grams}

So, weight of 125 cubic centimeter of glass cube is found by multiplying weight of 1 cubic centimeter of glass cube by 125

\text{ Weight of 125 } cm^3 \text{ cube } = \text{ Weight of 1 } cm^3 \text{ cube } \times 125

\text{ Weight of 125 } cm^3 \text{ cube } = \frac{12}{5} \times 125 = 25 \times 12 = 300

Thus weight of galss cube with side 5 cm is 300 grams

3 0
3 years ago
Read 2 more answers
there are 239 people in the first six rows of the movie theater if the same number of people are in the next six rows about how
bija089 [108]

Answer:

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Step-by-step explanation:

All you need to do for this problem is simply multiply 239 by 2. If the first 6 rows are 239 people, and so are the next 6, that's all you need to do.

239*2=478

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Lelechka [254]
The partial products would be 10 multiply 40, 10 multiply 3, 7 multiply 40, and 7 multiply 3.
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3 years ago
Lucas bought a package of baseball cards for $0.70. His friend bought 3 times as many packages. How much did his friend spend?
kodGreya [7K]

Answer:  $2.10

Step-by-step explanation:

4 0
2 years ago
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