Answer: The following statements are true:
It is symmetrical.
The first diagonal is all 1’s.
The second diagonal is the counting numbers.
Any number in the triangle is the sum of the two numbers directly above it.
Each row adds to a power of 2.
<span>The equation that shows the cost of a mix of Arabica and Robusta beans is: 700 A + 1,200 R = 1,000,000. We know that a mixture contains 1,000 pounds of Arabica beans ( A = 1,000 ). So: 700 * 1,000 + 1,200 R= 1,000,000; 700,000 + 1,200 R = 1,000,000 ; 1,200 R = 1,000,000 - 700,000 ; 1,200 R = 300,000 ; R = 300,000 : 1,200 ; R = 250. Answer: There should be: R = 250 pounds.</span>
<h3>
Answer: 31 games</h3>
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Explanation:
- 32/2 = 16 games will happen in round 1. Afterward, 16 teams are left.
- 16/2 = 8 games will happen in round 2. Afterward, 8 teams are left.
- 8/2 = 4 games happen in round 3.
- 4/2 = 2 games in round 4.
- 2/2 = 1 game as the final championship.
Count the number of times you divide by two and we have five occurrences of this. So there five rounds overall.
To get the total number of games played, we add up the quotients
16+8+4+2+1 = 31
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Or as a shortcut we can simply subtract off 1 since 1+2+4+...+2^n = 2^(n+1)-1
We can write that rule as
which is equivalent to
Answer: $48.93
Step-by-step explanation: 789.18 x 0.062