It is given that During their last game, the Miami Dolphins scored 6 times, for a total score of 30 points. They scored 7 points for each touchdown and 3 points for each field goal.

We need to write and solve the system of equations to find the total touchdowns and field goals scored.

Let x represents the number of touchdowns.

Let y be the number of field goals.

It is given that the Miami Dolphins scored 6 times

$x+y=6$

$x=6-y$ ....(1)

They scored 7 points for each touchdown and 3 points for each field goal.

The total score is 30 points:

$7x+3y=30$ ...(2)

Put the value of x from equation (1) into equation (2).

$7( 6-y)+3y=30$

$42-7y+3y=30$

$-4y=30-42$

$-4y=-12$

$y=3$

Put y = 3 in equation 1.

$x=6-3$

$x=3$

Hence, the Miami Dolphins had 3 touchdowns and 3 field goals.

4 0

2 years ago

Kerry has a new phone plan. It works by charging $20 per month and then $0.10 for each minute over 200 minutes.

REY [17]

Answer:

(40-20)/.10

Step-by-step explanation:

40-20 is 20, 20 divided by .10 is 200, she used 200 extra minutes.

3 0

2 years ago

The University of Montana ski team has thirteen entrants in a men's downhill ski event. The coach would like the first, second,

sleet_krkn [62]

Answer:

1716 ways

Step-by-step explanation:

Given that :

Number of entrants = 13

The number of ways of attaining first, second and third position :

The number of ways of attaining first ; only 1 person can be first ;

Using permutation :

nPr = n! ÷(n-r)!

13P1 = 13! ÷ 12! = 13

Second position :

We have 12 entrants left :

nPr = n! ÷(n-r)!

12P1 = 12! ÷ 11! = 12

Third position :

We have 11 entrants left :

nPr = n! ÷(n-r)!

11P1 = 11! ÷ 10! = 11

Hence, Number of ways = (13 * 12 * 11) = 1716 ways

8 0

2 years ago