A college radio station sponsors a contest once a week. One resident from a dormitory calls in and tries to answer ten questions correctly. Each correct answer earns the dorm $50, but each incorrect answer reduces the winnings by $25. Last week’s contestant earned $350. How many answers were correct?

There were 8 correct answers and 2 incorrect answers.

Step-by-step explanation:

The contest consists of paying $50 for each correctly answered question and subtracting $25 for each incorrectly answered question.

Let's call:

x = Number of correct answers

y = Number of incorrect answers

The resident from a dormitory answered 10 questions last week. This leads to the following condition:

Since each correct answer adds $50 and each incorrect answer subtracts $25, the weekly balance is

50x - 25y

The contestant earned $350, thus:

50x - 25y = 350

Dividing by 25:

2x - y = 14

Adding this equation with [1]:

x + 2x = 24

Simplifying:

3x = 24

x = 24 / 3

x = 8

From [1]:

y = 10 - x = 10 - 8

y = 2

There were 8 correct answers and 2 incorrect answers.

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2

the answer would be 484

step-by-step explanation:

just multiply 0.484 times 1,000 (formula)