<span><span>Find the GCD (or HCF) of numerator and denominator
GCD of 420 and 450 is 30</span><span>Divide both the numerator and denominator by the GCD
(420/30)/(450/30)</span><span>Reduced fraction: 14/15</span></span>
Equivalent fractions
Answer:
D
Step-by-step explanation:
ANSWER
(C) d=1
EXPLANATION
The given equation is

Factor the first fraction to get,

Multiply through by (d+2)(d-4)

Expand:




divide both sides by -2

Answer:
(x^2-10x+25)/4
Step-by-step explanation:
Answer:
Looking at the first question, it's asking what best describes the probability of tossing a number less than 6 on a number cube that has 6 numbers. Impossible means that it will never land on it, for example asking what the probability of landing on 7 is. Unlikely is something that doesn't happen often. The best option that fits our scenario is option C, likely.
Looking at the second question, it's asking what the probability that the teacher chooses a girl in his class. There are 15 girls and a total of 27 students in the class so we take the probability by doing 15/27. We can narrow both the numerator and the denominator using 3 which gives us 5/9. Therefore, the best option that fits our scenario is option C, 5/9.
Finally, looking at the last question, it's asking what the theoretical probability that the coin will land on heads on the next toss. Theoretical probability doesn't consider how much times Murray tossed the coin, the only thing it cares about is what the actual probability of tossing a coin is. Therefore that makes it a 50% chance of landing on a heads and a 50% chance of landing on a tails. The best option that first our scenario is option B, 1/2.
<u><em>Hope this helps! Let me know if you have any questions</em></u>