Answer:
750 < p < 1500
Step-by-step explanation:
The total cost of the affair for p attendees is ...
750 +2.25p
The average cost is that number divided by p. The answer choices suggest that "between" means that the cost per person cannot be 2.75 or 3.25. Applying the limits to the average cost, we get ...
2.75 < (750 +2.25p)/p < 3.25
2.75 < 750/p + 2.25 < 3.25 . . . . . . . . separating the fraction parts
0.50 < 750/p < 1.00 . . . . . . . . . . . . . . subtract 2.25
2 > p/750 > 1 . . . . . . . . . . . . . . . . . . . . . take the reciprocal*
1500 > p > 750 . . . . . . . . matches choice 4
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* Taking the reciprocals of numbers with the same sign reverses their order:
2 < 3 but 1/2 > 1/3
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An alternate approach to the solution would be to multiply by p:
0.50p < 750 < 1.00p
To solve this requires it be made into two inequalities:
0.50p < 750 ⇒ p < 1500
and
750 < 1.00p ⇒ 750 < p
Then these would need to be recombined to form the answer:
750 < p < 1500
Answer:
1.4 times as long
Step-by-step explanation:
3 1/2 (convert to mixed number) --> 7/2
2 1/2 (convert to mixed number) --> 5/2
(7/2) / (5/2) --> 7/5 --> 1.4
The shape that we have here is sued to show the infinite geometric progression.
<h3>What is geometric progression?</h3>
This is the sequence of numbers that has all the other values in the sequence gotten by the multiplication of a certain factor
In this question or the shape we can see that the triangle is made up of smaller other triangles embedded in it.
The area of the traingle that is in the red color is seen to have been made up of 1/3 of the total triangles that we have in the shape. This can be seen to be similar as the triangles that are represented by the green and the blue color.
Putting a lot of triangles inside one big triangle gives up a pictorial diagram on how to add infinite amount of things up.
Read more on triangles here:
brainly.com/question/17335144
#SPJ1
A) about 45
If we sold around 90, it would NOT be shown in the graph. And starting on June 15, we sold (per say 50). On June 19 we end with approximately 100. So 45 would be the most probable answer.
Hope this helps!
