A history teacher is writing a test worth 100 points. She uses multiple-choice questions worth 6 points each and true/false questions worth 2 points each. She wants the test to have three times as many multiple-choice questions as true/false questions. Let m represent the number of multiple-choice questions on the test, and let t represent the number of true/false questions. Which system of equations can be used to find how many of each type of question she should write.

6m + 2t = 100

AND

m=3t

solution t=5 m=15

Step-by-step explanation:

6m + 2t = 100 as each m question gives 6 points and each t question gives 2

m=3t as m questions are 3 times t questions

step-by-step explanation:

first you will have to convert 3/4 into a decimal

which is .75

then you will have to divide 1.5 by .75

which is 2

no you have to divide

answer would be 8.64 or s = 11π/4 inches

step-by-step explanation:

s = r θ  

where s = arc length  

r = radius = 3 inches  

θ = central angle in radians = ( π /180)*165  

s = 3(π/180)*165  

= 8.64 inches