Algebra Answers

prove De Moivre's theorem for n∈Z/N

Calculate how long it takes the Bus to complete a Journey if it leaves Point A on Friday, 11:50 and arrives at Point B, the next day (Saturday) at 07:20. The Average Speed of the Bus is 85km/h

prove that

[1.2+2.3+....+n(n+1)]
-------------------------- _> (n+1)/4, for n_>1
n(n+3)

(1) Simplify the square root: √49 *
Lesson 1
-7
7 <---- ?
49

(2) Classify the following: Pi (3.1415...) *
Lesson 1
Rational
Irrational <---?

(3) Solve for g: 3g + 4 = 19 *
Lesson 2
g = 5
g = 15
g = 45

(4) Solve for x: 9x - 2x = 28 *
Lesson 3
x = 28/11
x = 7
x = 4

(5) Solve for p: .4p - 6 = 32 *
Lesson 4
p = 2.4
p = 38
p = 95

(6) Write an equation to represent the following: Steve rented a car for $12.00 per day plus $.25 per mile driven. His total bill was $51.00. *
Lesson 5 - (2 points)

(7) Solve for y: 7y – 13 = 6y + 3 *
Lesson 6
y = 1
y = 16
y = 10

(8) Solve for k: -2k + 2 < 14 *
Lesson 7 - (2 points)

Sandra ran 7/12 of a mile. Lamar ran 3/4 of a mile. Who ran farther? Explain.

The number of bacteria in a certain culture doubles every hour. If there were 30 bacteria
present in the culture originally, how many bacteria will be present at the end of
18th hour?

Ryan walks -935 m at 85 m/min. (the negative signs represents west.) For how long has Ryan been walking?

Tyler earns $7 in allowance every 2 days for doing all his chores on the farm. How much allowance does he earn for 2 weeks of doing chores every day? need proportion, solve it and solution as a sentence. HELP!

Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 30 liters per minute. There are 500 liters in the pond to start.

Let W
represent the amount of water in the pond (in liters), and let T
represent the number of minutes that water has been added. Write an equation relating W
to T
, and then graph your equation

x+3y=11