Find the common ratio for the following sequence. 27, 9, 3, 1, .

Answers

Answer 1
Answer: 27/9 = 3

9/3= 3

3/1 = 3

Answer: 3

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The Math Club plans to pay a visitor $280 to speak at a fundraiser. Tickets will be sold for $7 each. Find an equation that gives the profit/loss for the event as it varies with the number of tickets sold.  How many people must attend the event for the club to break even?

Answers

A minimum of 40 people must attend the event for the club to breakeven such that the cost of the speaker to speak is \$280 and the selling price of a ticket is \$7.

Breakeven

Breakeven is a point where the cost price and the selling price of the commodity are the same. In other words, the seller is neither is loss nor in profit.

We will first determine the breakeven point and equate it with the total amount received by selling the tickets to determine the minimum number of tickets to be sold to attain the breakeven.

How to determine the breakeven point?

Let the number of tickets sold be x.

According to the question,

The fundraiser will be in profit if, 7x > 280

The fundraiser will be in loss if, 7x < 280

Now, to determine the breakeven point-

7x=280\nx=(280)/(7)\nx=40

Thus, a minimum of 40 people must attend the event for the club to breakeven.

Learn more about breakeven here- brainly.com/question/15172639

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Equation:
Profit = Price of tickets*number of tickets - initial cost

Let t be the number of tickets
Let p be the profit
p = 7t-280


To Break Even:
In order for the club to break even, p must be equal to 0, and so the equation can be rewritten as:
0 = 7t-280
7t = 280
t = 280/7
t = 40 tickets

Hey i need help please

Answers

Answer:

18 sq. meters

Step-by-step explanation:

The picture states the explanation.

Given: PQ congruent to SR, PQR congruent to SRQ
Prove: PQR congruent to SRQ

Answers

Answer:

ΔPQR is congruent to ΔSRQ b the Side-Angle-Side rule of congruency   {}    

Step-by-step explanation:

The two column proof is given as follows;

Statement    {}                                         Reason

1. \overline {PQ}\overline {SR}      {}                                      Given

2. ∠PQR ≅ ∠SRQ   {}                               Given

3. \overline {QR}\overline {QR}      {}                                     By reflexive property

4. ΔPQR ≅ ΔSRQ   {}                               By SAS rule of congruency   {}          

When two sides and an included angle of one triangle are congruent to the corresponding two side and an included angle of another triangle, both triangles are said to be congruent by the Side-Angle-Side SAS rule of congruency.

Which of the following is an arithmetic sequence?A. -4,-2, 0, 2, ...
B. -8, -4,-2, -1, ...
C.-4, -3, -1, 2, ...
D. -4, 0, -4, 0, ...

Answers

is equal to zero if. a) a, b, c are in arithmetic progression ... progression. d) α is a root of the equation ax2 + bx + c = 0.Missing: 4,

Answer: Choice A)  -4, -2, 0, 2

Explanation:

This is because we are adding the same thing to each term to get the next term. That is the common difference d = 2

  • second term = (first term)+d = -4+2 = -2
  • third term = (second term)+d = -2+2 = 0
  • fourth term = (third term)+d = 0+2 = 2

Find the median of the data. A.
25


B.
27


C.
27.5


D.
30

Answers

Both A.25 and D.30 are the median

1.First you need to put the numbers in order

15,15,20,25,25,30,30,35,45

2.You then need to cross one off each side as you go down (As below)

15,20,25,25,30,35
20,25,25,30
25,30

3.After you take all the numbers off you stop when there are no numbers to take off from both ends 

25,30

4.You are then left with these two median numbers so your answer is 25 and 30

I hope this explains it for you if you need any other information then please ask i wouldn't mind helping

how do you work out the value of "d" in the equation: 7d=4d+21

Answers

Subtract 4d from each side. / / / 3d = 21. / / / Divide each side by 3. / / / d = 7 .

I'm not completely positive but I believe this is how you do it.

7d=4d+21

7d - 4d = 21

3d = 21

3d / 3 = 21 / 3

d = 7