Answer:

Step-by-step explanation:
we would like to solve the following equation:

in order to do so do cross multiplication:

divide both sides by √3:

since we ended up with a square root on the denominator so we can consider rationalising the denominator to do so multiply both numerator and denominator by √3 which yields:

simplify multiplication:

reduce fraction:

and we are done!
Answer:
24 = questions on test
Step-by-step explanation:
Questions answered correctly = questions on test * percent answered correctly
We know that she answered 18 correctly and that 75% were answered correctly
Substitute this information into the equation
18 = questions on test *.75
Divide by .75 on each side
18/.75 = questions on test *.75/.75
24 = questions on test
Answer:
b. 0.32 • 130
Step-by-step explanation:
Change the percent to decimal form
32% = .32
.32 * 130
Answer:
(f • g)(3) = 100, the distance in miles the bus traveled
Step-by-step explanation:
The product of (miles/hour) and (hours) is (miles), so only answers with units of distance are applicable. The numbers are ...
f(3) = 2·3² +2 = 20 . . . . miles per hour
g(3) = 3+2 = 5 . . . . hours
so (f·g)(3) = f(3)·g(3) = 20·5 = 100 . . . . miles
This means only the first answer choice is applicable.