Can someone please help?

Mathematics

2 answers:

Troyanec [42]2 years ago

5 0

Answer:

Option number 3 is an example of distribution

murzikaleks [220]2 years ago

3 0

Answer:

3 is the answer.

Step-by-step explanation:

1 is the commutative property for multiplication. (Order does not matter when multiplying).

2. is the associative property for multiplication. When you have 3 numbers it does not matter which 2 you start with.

3 is the distributive property

4 is the unit property for multiplication.

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Admission for a movie is $8 for children and $12 for adults. On a certain day, 3200 people attend the movie theater and $33,040

Nezavi [6.7K]

Let us assume the number of children attending the movie = x
Let us also assume the number of adults attending the movie = y
Cost of admission for a children in the movie = $8
Cost of admission of an adult in the movie = $12
Number of people going to the movie on a certain day = 3200
Total amount collected from the movie theater = $33040
Then
x + y = 3200
And
8x + 12y = 33040
2x + 3y = 8260
Let us first take the equation
x + y = 3200
x = 3200 - y
Now we will put the value of x in the equation
2x + 3y = 8260
2(3200 - y) + 3y = 8260
6400 - 2y + 3y = 8260
y = 8260 - 6400
= 1860
Now we will put the value of y from the above deduction in the equation
x + y = 3200
x + 1860 = 3200
x = 3200 - 1860
= 1340
So the number of children going to the movie theater is 1340 and the number of adults going to the movie theater is 1860.

5 0

3 years ago

Find the gradient, picture below

hoa [83]

Answer:

$\frac{dy}{dx} = \frac{13}{8}$

Step-by-step explanation:

$y = 2x + 6 {x}^{ - \frac{1}{2} } \\ \frac{dy}{dx} = 2 + 6( - \frac{1}{2}) {x}^{ - \frac{1}{2} - 1 } \\ \frac{dy}{dx} = 2 - 3 {x}^{ - \frac{3}{2} } \\ \frac{dy}{dx} = 2 - \frac{3}{ \sqrt{ {x}^{3} } }$