Five friends compete in a dart-throwing contest. Each one has two darts to throw at the same circular target, and each individual's score is the sum of the scores in the target regions that are hit. The scores for the target regions are the whole numbers 1 through 10. Each throw hits the target in a region with a different value. The scores are: Alice—16 points, Ben—4 points, Cindy—7 points, Dave—11 points, and Ellen 17—points. Who hit the region worth 6 points?

Alice

Step-by-step explanation

Ben=1+3

Cindy=2+5

Dave=4+7

Alice=10+6

Ellen is 9+8

The answer is gonna be Alice because you can only use each number once.

POSSIBLE SCORES

Alice 16

6,10

7,9

(8+8 won't work because that would be a repeating number)

Ben 4

1,3

(2+2 won't work because that would be a repeating number)

Cindy 7

1,6

2,5

3,4

Dave 11

1,10

2,9

3,8

4,7

5,6

Ellen 17

7,10

8,9

Since the only possibilities for Ben is hitting 1 and 3, all other people can't hit 1 or 3.

Alice 16

6,10

7,9

Cindy 7

2,5

Dave 11

2,9

4,7

5,6

Ellen 17

7,10

8,9

Since the only possibilities for Cindy is hitting 2 and 5, all other people can't hit 2 or 5.

Alice 16

6,10

7,9

Dave 11

4,7

Ellen 17

7,10

8,9

Since the only possibilities for Dave is hitting 4 and 7, all other people can't hit 4 or 7.

Alice 16

6,10

Ellen 17

8,9

Ellen must have hit 8 and 9. Alice must have hit 6 and 10.

Alice hit 6 points.

17

step-by-step explanation:

51/3=17

thus 17 is your answer.

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.