<h2>
Greetings!</h2>
Answer:
3⋅(5⋅x)
5⋅(x⋅3)
15x
Step-by-step explanation:
As the values are inside the brackets, it does not matter what side the (x3) is on, so 3⋅(5⋅x) is equivalent.
Multiplying the contents of the brackets in the third one (x * 3) by 5 gives the same value as 3 * (x * 5) so 5⋅(x⋅3) is also equivalent.
On multiplying the brackets out:
5 * x = 5x
5x * 3 = 15x
So 15x is also equivalent.
<h2>Hope this helps!</h2>
Answer:
Number of dogs = 6
Number of burgers = 11
Step-by-step explanation:
Number of dogs = x
Number of burgers = 2x - 1
Cost of a dog = $ 1.50
Cost of 'x' dogs = 1.5x
Cost of a burger = $ 2
Cost of (2x - 1) burger = (2x -1) * 2 = 2x *2 - 1*2
= 4x - 2
Total amount collected = $ 31
1.5x + 4x - 2 = 31 {add 2 to both sides}
1.5x + 4x = 31 + 2
1.5x+ 4x = 33
5.5x = 33
x = 33/5.5
x = 6
Number of dogs = 6
Number of burgers = 2*6 - 1 = 12 - 1 = 11
Answer: the correct options are b and d.
Step-by-step explanation:
Let us first define what mutually exclusive events are. If two events are mutually exclusive, it means that they cannot happen at the same time. For example, getting a head and a tail at the same time are mutually exclusive.
Considering a single spin of the spinner, the events that are mutually exclusive are
b)landing on a shaded sector and landing on a 3. This is because 3 is unshaded. You can either land on 3 or an unshaded sector at a time
d)landing on an unshaded sector and landing on a number less than 2. This is because the numbers in the unshaded sectors are greater than 2.
Answer:
see explanation
Step-by-step explanation:
Given
tan a = 
= 
We require the hypotenuse h
Using Pythagoras' identity
h² = 9² + 40² = 81 + 1600 = 1681 ( take square root of both sides )
h = 
= 41 , thus
sin a = 
= 
cos a = 
= 
Answer:
Step-by-step explanation:
The product of two rational numbers is always rational.
