Answer is 55
Two ways you can approach this first you can subtract the three from the 10 and get 7. Square that to get 49. Now you know that x-6 has to equal 49 and the only option greater than 49 is 55
Second you can just take the problem step by step.
Subtract three from both sides.
Sqrt x-6 =7
Square both sides
X-6=7^2
x-6=49
Add six to each side
X=55
Answer:
x = 3 + 2 sqrt3 Or 3 - 2 sqrt 3
Step-by-step explanation:
Answer: The maximum the average can be for all the guests at the birthday party is 2 minutes 57 seconds.
Step-by-step explanation:
Since the ratio of adults to children is 4:1, then it follows that:
4/5 of the people are children
1/5 of the people are adults
A weighed average of the times would give:
1 minute 25 seconds = 85 seconds [for 1/5 of the people (the adults)]
3 minutes 20 seconds = 200 seconds [for 4/5 of the people (the children)]
(85 x 1/5) + (200 x 4/5) = 177 seconds
Therefore, the maximum the average can be for all the guests at the birthday party is 2 mins 57 secs.