MATHEMATICS MIDDLE SCHOOL

In a chess match, a win counts as 1 point, a draw counts as 0.5 point, and a loss counts as 0 points. After 21 games between the two players, the winner was 8 points ahead of the loser. How many points did the winner have?PLS HELP

Answers

Answer 1

Answer:

Answer:

14.5

Step-by-step explanation:

First, let's confirm that total points = total number of games played.

Suppose, if any one of the player wins all the games, then,

total points = 21(1) + 0 = 21 = total number of games

Suppose, all the games end in draw. Then,

21(0.5) + 21(0.5) = 21(0.5 + 0.5) = 21(1) = 21 = total number of games

Suppose, if one player wins in 10 games and the remaining 11 games end in draw, then,

10(1) + 11(0.5 + 0.5) = 10 + 11 = 21 = total number of games

So, in all cases, total points = total number of games played

Now, let x be the points that the loser has.

So, the winner's points should be x + 8.

Total number of games played = 21

Since, total points = total number of games played,

x + (x + 8) = 21

2x + 8 = 21

2x = 21 - 8 = 13

x = 6.5

Winner's points = x + 8 = 6.5 + 8 = 14.5.

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A farmer has 220 bushels of wheat to sell it has roadside stand he sells an average of 14 and three-quarter bushels each day represent the total change in the number of bushels he has for sale after seven days type an integer proper fraction or mixed number

Answers

Answer:

Total change in Sales of Bushels =116 $(3)/(4)$

Step-by-step explanation:

Total Bushels of Wheat= 220

Average Sale= $14*(3)/(4)$ per day

Average Sale per week = $7*14.75 =103.25$

Total change in Sales of Bushels = Total Bushels of Wheat - Average Sales per week

Total change in Sales of Bushels= $220- 103.25 = 116*(3)/(4)$

An airplane takes off from an airport and travels 1100 miles east and then travels 600 miles north. This trip can be plotted on the coordinate plane, where the airport is the point (0, 0).

Answers

Answer:

The plane is now at (1100, 600) in unit mile

Step-by-step explanation:

The airport is the point (0 ,0) and the plane travels from there 1100 miles east and thereafter 600 miles north. If the unit is in mile then we may say that the planes co -ordinates are now (1100 , 600)

Since,

positive x -axis points towards east and positive y-axis points towards north.

Rayville Elementary sponsors a math competition for 78 students. During the competition, the students work a total of 8,970 math problems in 4 hours. Each student works the same number of problems. How many problems does each student work?

Answers

Each student worked on 115 math problems.

Step-by-step explanation:

Given,

Problems solved in 4 hours = 8970

Number of students in competition = 78

As each student solved same number of problems, we will divide the total problems solved by number of students to find the amount of problems solved by one student.

Problems solved by one student = $(8970)/(78)$

Problems solved by one student = 115

Each student worked on 115 math problems.

Keywords: division

Learn more about division at:

#LearnwithBrainly

Each student works 115 problems.

Explanation:

I'm going to copy and paste the question here, and bold important info.

"Rayville Elementary sponsors a math competition for 78 students. During the competition, the students work a total of 8,970 math problems in 4 hours. Each student works the same number of problems. How many problems does each student work?"

Now everything not bolded? Forget about it. All you need to know is that there are 78 students. They all do 8,970 # of problems. And all the students do the same amount. Now you just have to divide the # of probs. by the amount of students in the competition, and you have your answer.

8970÷78=115

Hope that helped!

Let f(x) = -2x + 7 and g(x) = -6x + 3. Find (f o g) and state its domain.