On ryan's last history test, there were two types of questions: true/false worth 2 points each and multiple choice questions worth 4 points each. if ryan earned 86 points on the test and answered 18 multiple choice questions correctly, how many true/false questions did he answer correctly?

He answered 7 true/false questions correctly

Step-by-step explanation:

True / False : 2 points each

Multiple choice: 4 points each

Assuming he answered "x" true/false questions and "y" multiple choice questions. You can write the information in the form of equations:

Points in test = 2*(true/false) + 4*(multiple choice)

86 = 2*x + 4*y

18 = y

Replacing y = 18 in the first equation:

86 = 2*x + 4*18

86 = 2*x + 72

14 = 2x

x = 7

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation: