Answer:
We can conclude that only option B is correct.
Step-by-step explanation:
A. The equation 3(3x - 2) - 4 = 5x has a solution.
Solving it we get,
3(3x - 2) - 4 = 5x
⇒ 9x - 6 - 4 = 5x
⇒ 4x = 10
⇒ x = 2.5
B. The equation 4(2x - 3) - 5 = 4x has exactly one solution.
Solving it we get,
4(2x - 3) - 5 = 4x
⇒ 8x - 12 - 5 = 4x
⇒ 4x = 17
⇒ x = 4.25
C. The equation 5(3x - 2) - 2 = 3x also has exactly one solution.
Solving it we get,
5(3x - 2) - 2 = 3x
⇒ 15x - 10 - 2 = 3x
⇒ 12x = 12
⇒ x = 1
D. The equation 6(2x - 3) - 3 = 2x also has exactly one solution.
Solving it we get,
6(2x - 3) - 3 = 2x
⇒ 12x - 18 - 3 = 2x
⇒ 10x = 21
⇒ x = 2.1
Therefore, we can conclude that only option B is correct. (Answer)
Answer: Hello!
In this problem you can chose 3 options:
the type of cone, the first flavour, and the second flavour.
a) In how many different ways can your order one cone and two scoops of ice cream?
You have 5 options for cones, 9 options for the first ball of ice cream, and 9 options for the second ball of ice cream (because you can repeat flavour) then the total number of combinations is the product of this 3 numbers, this is:
5*9*9 = 405 combinations
b) Here we cant order the same flavour of ice cream, then:
we still have 5 options for cones, 9 options for the first ball of ice cream, and this time 8 options for the second ball ( because we need to remove the flavour that we picked in the first ball of ice cream) then the number of combinations is:
5*9*8 = 360 combinations.
Answer:
(3, 24)
Step-by-step explanation:
Answer: The answer is 96 wizards.
Step-by-step explanation:
So what I like to do is fraction formatting.
you start with x/blank 
and 
you do cross multiply divide
and multiple 120 by 80(=9600) and divide by 100 (=96) because wizards are 20% less of the population than goblins, so they are equivalent to 80% of the goblins! Hope this helped!
