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

Miami dolphins scored 3 touchdowns and 3 field goals.

Step-by-step explanation:

Let x be the number of touchdowns and y be the number of field goals.

It is given that during their last game, the miami dolphins scored 6 times for a total score of 30 points.

                   .... (1)

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

                   .... (2)

Use substitution method to solve the system of equations.

Substitute value of y( in terms of x) in equation (2) from equation (1).

Combine like terms.

Subtract 18 from both sides.

Divide both sides by 4.

The value of x is 3.

Substitute x=3 in equation (1), to find the value of y.

Subtract 3 from both sides.

The value of y is 3.

Therefore Miami dolphins scored 3 touchdowns and 3 field goals.

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.