Answer:
The inequality that could be used is 8.50p≤300 and the greatest number of people that can attend is 35.
Step-by-step explanation:
From the information provided, you can write an inequality where total cost for people attending at the party should be less than or equal to $300:
3.50p+5.00p≤300
8.50p≤300
Now, you can solve for p:
p≤300/8.50
p≤35
According to this, the answer is that the inequality that could be used is 8.50p≤300 and the greatest number of people that can attend is 35.
Answer:
5/12
Step-by-step explanation:
Given that,
Total no of cards = 12 with numbers 1 to 12
We need to find the probability of getting 5.
Probability = favourable outcomes/total no of outcomes
Favourable outcomes is 5 as it come one time
Total no of outcome = 12 (total no of cards)
So,

Hence, the probability of getting 5 is 5/12.
Answer:
$546
Step-by-step explanation:
50 + 28 = 78 x 7 = 546
Refer to the graph shown below. It confirms that points A, B and P are
collinear.
Calculate the length of AP (as a).
a = √[(6 - 2)² + (11 - 3)²]
= 8.9443
Calculate the length of BP (as b).
b = √[(8 - 6)² + (15 - 11)²]
= 4.4721
Calculate ratio a/b.
a/b = 8.9443/4.4721 = 2
Therefore P partitions AB in a 2:1 ratio so that AP = 2*BP.
Answer: 2:1 ratio.