A total of 850 tickets were sold for a party, generating total sales of $2,050. If tickets cost $3 for couples and $2 for singles, totally how many people came to the party?

1200 people came to the party.

Step-by-step explanation:

Let x represent the number of singles tickets that were sold.

Let y represent the number of couples tickets that were sold.

A total of 850 tickets were sold for the party. It means that

x + y = 850

If tickets cost $3 for couples and $2 for singles and the total sales generated was $2050, it means that

2x + 3y = 2050- - - - - - - - - -1

Substituting x = 850 - y into equation 1, it becomes

2(850 - y) + 3y = 2050

1700 - 2y + 3y = 2050

- 2y + 3y = 2050 - 1700

y = 350

x = 850 - y = 850 - 350

x = 500

Since a couples ticket is for 2 people, it means that the number people that bought the couples tickets is

2 × 350 = 700

Therefore, the total number of people that came to the party is

500 + 700 = 1200

a. 74 degrees

step-by-step explanation:

because the lines through the side and the box in the corners shows that these are congruent triangles and since they are mirrored the 37 degrees is also mirrored so the answer is 37 * 2 which is 74.

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.