1) a pre-engineering student builds 1
1/2 simple machines in 1/4
of a month. how many machines will
she build in the whole month?

2) based on the following table, which of these equation has a constant of proportionality equal to 2?
a) 2y = 2x
b) 2y = x
c)4y = 2x
d) 2y = 4x

3) jennifer jogged at a rate of 3/5 miles every 6 minutes. what was her jogging rate in miles per hour?
a) 3 miles b) 4 miles
c) 5 miles d) 6 miles
e) 7 miles

1) Assuming that 1 month is 30 days. We would take 30 (# of days in the month) divided by 4, which would be 7.5. So every 7.5 days ( or 1/4 of a month) she will build 1 1/2 simple machines. so 1 1/2 times 4 equals 6. She will build 6 simple machines each month.

3) D. 6 miles, you would take 60 divided by 6 which is 10, divided by 3/5 which is 6.

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