How many different ways can a director select 4 actors from a group of 20 actors?

Answers

Answer 1

Answer: Number of ways = 20C4
Number of ways = (20 x 19 x 18 x 17) ÷ (4 x 3 x 2 x 1)
Number of ways = 116280 ÷ 24
Number of ways = 4845.

Answer: 4845

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What number should both sides of the following equation be divided by to solve for x?(6.4)x = 32

4
6.4
6
5

Answers

In algebraic equations, it is easier to solve for an unknown term when that term is being isolated on one side of the equation. In the given equation, the unknown term "x" is not isolated because it is being multiplied by 6.4. To solve for x, it is essential to divide both sides by 6.4 to isolate x. It is shown as follows:

6.4x = 32

Dividing both sides by 6.4:
(6.4x)/6.4 = 32 / 6.4

x = 5

Therefore, 6.4 should be divided to both sides to solve for x.

Jack's mother gave him 50 chocolates to give to his friends at his birthday party. He gave 3 chocolates to each of his friends and still had 2 chocolates left. Write an equation to determine the number of friends (x) at Jack's party.

Answers

Answer:

3x = 48

Step-by-step explanation:

To easily do this, we'll make the statement in mathematical form.

Let x represent the number of friends at Jack's wedding.

The equation would be:

3 * x = 50 - 2

3x = 48

x = 48 / 3

x = 16

Therefore, the equation to determine the number of friends (x) at Jack's party is expressed as:

3x = 48

Maths is fun!

Answer:

50/3=16

Step-by-step explanation:

Which sentence uses punctuation correctly? a. The last book in the series, borrowed from a classmate, is quite long.
b. The last book in the series borrowed from a classmate is quite long.
c. The last book in the series borrowed from a classmate, is quite long.
d. The last book in the series, borrowed from a classmate is quite long.

Answers

It would probably be A because it makes more sence

Which measurement is most accurate to describe the weight of an apple?320 mg
120 g
8 kg
950 g

Answers

120 g from different country

Answer:120 g

Step-by-step explanation: my your dad

Martha is covering kitchen shelves with shelving paper. She has 6 shelves that are each 1 3 4 feet long. She buys 13 1 4 feet of shelving paper of the correct width. Which equation can be used to determine how much paper she will have left over?

Answers

its 1314 divided by 6.

At the holiday valley ski resort, skis cost $16 to rent and snowboards cost $19. If 28 people rented on a certain day and the resort brought in $478, how many skis and snowboards were rented?

Answers

Answer:

$18$ skis and $10$ snowboards were rented.

Step-by-step explanation:

Let the number of skis rented be $x$ and the number of snowboards rented be $y$ .

If a total of $28$ people rented on a certain day, then the total number of skis and snowboards rented that particular day is also $28$ .

This gives us the equation

$x+y=28...eqn(1)$ .

If skis cost $ $16$ , then $x$ number of skis cost $ $16x$ .

If snowboards cost $ $19$ , then $y$ number of snowboards cost $ $19y$ .

The total cost will give us another equation,

$16x+19y=478...eqn(2)$

From equation (1),

$y=28-x...eqn(3)$ .

We put equation (3) into equation (2) to get,

$16x+19(28-x)=478$

We expand the brackets to obtain,

$16x+532-19x=478$

We group like terms to get,

$16x-19x=478-532$

This implies that,

$-3x=-54$

We divide both sides by $-3$ to get,

$x=18$

We put $x=18$ into equation (3) to get,

$y=28-18$

$y=10$

Therefore $18$ skis and $10$ snowboards were rented.

Final answer:

To solve this problem, you can set up a system of equations where one equation represents the total number of skis and snowboards rented, and the other represents the total cost of those rentals. By solving this system, you can determine the number of skis and snowboards rented.

Explanation:

This problem is a classic example of a system of linear equations. Let's denote the number of skis rented as x and the number of snowboards rented as y. From the problem, we know that:

x + y = 28 (The total number of skis and snowboards rented is 28)
16x + 19y = 478 (The total income from skis and snowboard rentals is $478)

By solving these two equations, we can find the values of x and y which represent the number of skis and snowboards rented respectively.

Learn more about System of linear equations here:

brainly.com/question/20379472

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