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sp2606 [1]
3 years ago
6

In 1940 you could buy a soda for 5 cents. Today the average cost of the same size soda is $1.25. What is the percent of increase

in the cost of a soda?
Mathematics
2 answers:
svlad2 [7]3 years ago
7 0

Answer:

2400%

Step-by-step explanation:

timama [110]3 years ago
3 0

Answer: 2,400%

Step-by-step explanation:

1.25 * 100/0.05 = 2,500

2,500% - 100% = 2,400%

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If the fifth term in a geometric sequence is 1∕27 and the common ratio is 1∕3, find the explicit formula of the sequence.
ch4aika [34]

Answer:

B

Step-by-step explanation:

8 0
3 years ago
Explain the steps in finding the midpoint of the points (-1,2) and (3,-6). The state the midpoint
blondinia [14]

Answer:

(1, -2)

Step-by-step explanation:

midpoint x = (x₁ + x₂) / 2

midpoint y = (y₁ + y₂) / 2

(\frac{-1 + 3}{2} , \frac{2 + -(6)}{2} )

  = (1, -2)

8 0
3 years ago
There are 8 tennis players in a round robin tournament, which means each team will play every other team once. How many matches
Aliun [14]
<h3>Answer:  28</h3>

==========================================================

Explanation:

Method 1

Imagine a table with 8 rows and 8 columns to represent all possible match-ups. You can actually draw out this table or just think of it as a thought experiment.

There are 8*8 = 64 entries in the table. Along the northwest diagonal, we have each team pair up with itself. This is of course silly and impossible. We cross off this entire diagonal so we drop to 64-8 = 56 entries.

Then notice that the lower left corner is a mirror copy of the upper right corner. A match-up like AB is the same as BA. So we must divide by 2 to get 56/2 = 28 different matches.

----------------------------------

Method 2

There are 8 selections for the first slot, and 8-1 = 7 selections for the second slot. We have 8*7 = 56 permutations and 56/2 = 28 combinations.

----------------------------------

Method 3

Use the nCr combination formula with n = 8 and r = 2

n C r = \frac{n!}{r!(n-r)!}\\\\8 C 2 = \frac{8!}{2!*(8-2)!}\\\\8 C 2 = \frac{8!}{2!*6!}\\\\8 C 2 = \frac{8*7*6!}{2!*6!}\\\\ 8 C 2 = \frac{8*7}{2!}\\\\ 8 C 2 = \frac{8*7}{2*1}\\\\ 8 C 2 = \frac{56}{2}\\\\ 8 C 2 = 28\\\\

There are 28 combinations possible. Order doesn't matter (eg: match-up AB is the same as match-up BA).

Notice how the (8*7)/2 expression is part of the steps shown above in the nCr formula.

7 0
2 years ago
7. Your friend is standing on top of a building, which is 130 ft. above the ground, looking down at a tree that is 40 ft. away f
oee [108]
I think you just divide the 130 ft by the 40 ft = 3.25 ??
8 0
3 years ago
A bag contains green marbles and blue marbles, 18 in total. The number of green
Katena32 [7]

Answer:

Step-by-step explanation:

Let the number of blue marbles be x

The number of green marbles = 3x - 2

Total marbles= 18

x + 3x -2 = 18

4x - 2 = 18

     4x = 18+2

      4x = 20

x =20/4

x =5

The number of blue marbles = 5

The number of green marbles = 3*5 - 2 = 15 -2 = 13

5 0
3 years ago
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