Number 4 and 6 are correct because you can only add variables with other variables so that is why 4 and 6 are correct
To determine the number of days, we need to set up equations relating the given values above. The total distance that Kayla would want to travel is a sum of the total distance she traveled from running and the total distance she traveled from biking. So,
200 miles = (6 miles/day) x + (10 miles/day) y
where x is the number of days she spent running and y is the number of days she spent biking.
If the minimum days she used for biking would be 15 days or y = 15, then
200 miles = (6 miles/day) x + (10 miles/day) (15 days)
Solving for x,
200 = 6x + 150
50 = 6x
x = 8.3333 days
Total number of days = 15 days for biking + 8.3333 days for running = 23.3333 days or about 24 days.
Answer: 999 games
Step-by-step explanation:
There are many ways to illustrate the rooted tree model to calculate the number of games that must be played until only one player is left who has not lost.
We could go about this manually. Though this would be somewhat tedious, I have done it and attached it to this answer. Note that when the number of players is odd, an extra game has to be played to ensure that all entrants at that round of the tournament have played at least one game at that round. Note that there is no limit on the number of games a player can play; the only condition is that a player is eliminated once the player loses.
The sum of the figures in the third column is 999.
We could also use the formula for rooted trees to calculate the number of games that would be played.
where i is the number of "internal nodes," which represents the number of games played for an "<em>m</em>-ary" tree, which is the number of players involved in each game and l is known as "the number of leaves," in this case, the number of players.
The number of players is 1000 and each game involves 2 players. Therefore, the number of games played, i, is given by
Two geometrical objects are called similar if they both have the same shape, or one has the ... Due to this theorem, several authors simplify the definition of similar triangles<span> to only require that the corresponding three angles are congruent. I hope that helps you.</span>
Answer:
Log x = 3 is the same as Log into base 10 of 3
Recall from Law of Logarithm: if Log a = x , then a = 10^ x
therefore If Log x = 3 , then x = 10^3 = 1000
Step-by-step explanation: