Answer: $450
Step-by-step explanation:
We can form an equation representing the problem. The question is essentially asking 60% of what is equal to $270. If we define that what as a variable 'x', we get the following:


Multiply both sides by 100:


Divide both sides by 60 to solve for the value of 'x':

Answer is 450 bucks
We can check this answer by taking 60% of $450. In principal, this should return the discount of $270.

Yup, it checks out
Answer:
1.2 trains for $25.
Step-by-step explanation:
For 50 dollars, you could get 2.4 trains with the $25 dollar option.
For 90 dollars (an extra 40 dollars!) you only get 0.2 more trains.
If you add another $25 to the current $50 on the other option, you get 3.6 trains.
So, 1.2 trains for $25 must be the better option as you can get an extra 1 train for 15 dollars less!
Hope this helps!
Also, who buys 0.2 or 0.6 of a train? -_-
I want to say 5 but I'm not sure
Answer:
3) ½ chance
4) 60 times
Step-by-step explanation:
<h3><u><em>
3) Theoretically, if the spinner is spun 150 times</em></u></h3><h3><u><em>
how many times would you expect to get an</em></u></h3><h3><u><em>
even number?</em></u></h3>
<u><em></em></u>
There are 12 equal sections, getting an even numbers is a ½ chance. ( same as odd numbers)
The probability is ⁶⁄₁₂ or ½.
In addition, this is theoretical probabilty, it doesn't require experiments.
<h3><u><em>
4) Based on the experiment, if the spinner is</em></u></h3><h3><u><em>
spun 150 times, how many times would you</em></u></h3><h3><u><em>
expect to get an even number?</em></u></h3>
Getting a 2: ⁴⁄₆₀ or ¹⁄₁₅
Getting a 4: ³⁄₆₀ or ¹⁄₂₀
Getting a 6: ⁷⁄₆₀
Getting a 8: ³⁄₆₀ or ¹⁄₂₀
Getting a 10: ⁵⁄₆₀ or ¹⁄₁₂
Getting a 12: ²⁄₆₀ or ¹⁄₃₀
Chance of picking a even number using 60 tries:
⁴⁄₆₀ + ³⁄₆₀ + ⁷⁄₆₀ + ³⁄₆₀ + ⁵⁄₆₀ + ²⁄₆₀ = ⁴ ⁺ ³ ⁺ ⁷ ⁺ ³ ⁺ ⁵ ⁺ ²⁄₆₀ = ²⁴⁄₆₀ or ⅖
Picking a even number using 150 tries:
⅖ · 150 = 60 times
Answer:
Slope formula: (b) m = y2 – y1 / x2 – x1
Point-Slope Formula: (c) y – y1 = m (x – x1)
Slope Intercept Form: (a) y = mx + b