Chase and his brother like to play basketball. About a month ago they decided to keep track of how many games they have each won. As of today, Chase has won 18 out of 30 games against his brother

How many games would Chase have to win in a row in order to have a 75% winning record? Chase would have to win games in a row to have a 75% winning record. How many games would Chase have to win in a row in order to have a 90% winning record? Chase would have to win games in a row to have a 90% winning record. Is Chase able to reach a 100% winning record? Chase (is or isn’t) able to reach a 100% winning record because .

Suppose that after reaching a winning record of 90 in part 2, Chase has a losing streak. How many games in a row would Chase have to lose in order to drop down to a winning record below 55% again?

Chase would have to lose games in order to drop down to a winning

Step-by-step explanation:

As of today, Chase has won 18 out of 30 games against his brother. The percentage of games that he has won as of today is

18/30 × 100 = 60%

In order to get 75% wins, let the number of games would be x. Then

(18 + x)/(30 + x) × 100 = 75

100(18 + x) = 75(30 + x)

1800 + 100x = 2250 + 75x

100x - 75x = 2250 - 1800

25x = 450

x = 450/25 = 18

chase has to win 18 games in a row.

In order to get 90% wins, let the number of games would be y. Then

(18 + x)/(30 + x) × 100 = 90

100(18 + x) = 90(30 + x)

1800 + 100x = 2700 + 75x

100x - 75x = 2700 - 1800

25x = 900

x = 900/25 = 36

chase has to win 36 games in a row in order to have a 90% winning record.

(18 + x)/(30 + x) × 100 = 100

100(1800 + x) = 100(30 + x)

1800 + 100x = 3000 + 100x

100x - 100x = 3000 - 1800

Therefore, it is impossible to for chase to reach a 100% winning record because he has already had some losses.

2) for a wining record of 90, the total number of games played is

30 + 36 = 66 games and the total number of wins was 18 + 36 = 54

In order to get 55% losses, let the number of games would be z. Then

(54 + z)/(66 + z) × 100 = 55

100(54 + z) = 55(66 + z)

5400 + 100z = 3630 + 55z

100z - 55z = 3630 - 5400

45z = - 1770

z = - 1770/45 = - 40

chase has to lose 40 games in a row in order to drop down to a winning record below 55% again.

step-by-step explanation:

through just a quick inspection, one can see that the graph of this cubing function starts in quadrant iii and ends in quadrant i.   when x = 0, y = 3, so the y-intercept is (0, 3).

if graphs are part of the problem statement, share them.   .

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.