Same math help?

Question

1.solve -8x<_2

2.-x/7+4>_3x

3.How many arrangements of the letter in the word OLIVE can you make if each arrangement must use 3 letters?

4.Car thieves steals 1 automobile out of 400 of a certain type every year in a certain city.What annual net premium should an owner pay for theft insurance in the amount of 16,000 on the certain type of car?

Answer 1

1. Dividing both sides by 8 does not disturb the inequality, so
-x ≤ 0.25.
Changing signs changes the inequality, so
x ≥ -0.25

2. Multiplying both sides by 7 gives
-x + 28 ≥ 21x
Adding x to both sides gives
28 ≥ 22x
therefore 28/22 ≥ x;
x ≤ 14/11

3. Assuming that one can take three letters from the word OLIVE in any order, the number of three letter arrangements possible is 60. If one may use any letter once or more than once, then the answer is 5^3 = 125.

4. If each owner of the 400 cars pays a premim of $40, on average this will pay for the theft of one car. However, insurance companies are not in it for charity, so the premium must be at least $40 per annum.

Answer 2

1. -8x ≤ 2
x ≥ -1/4

2. -x/7 + 4 ≥ 3x
4 ≥ 3x + x/7
4 ≥ 22x/7
14/11 ≥ x

3. 5P3 = 5!/(5!-3!) = 60

4. $16000 X (1/400) = $40 annual premium (for insurance company to break even, if insurance company actually wants to make money, they will need to charge more than $40)

Answer 3

1. x<_ -1/4
2. 28/3>_x
3. 9+8+7+6+5+4+3+2+1=45...i think
4. Not sure about this one...what are you asking for?

Answer 4

#3 is a permutation, do 5P3

#4, divide 16 000 by 400

Answer 5

1. any number u can think of 2. a large negative number. 3dunno 4. not enough info

Answer 6

1. x>_-1/4
2. x<_-14/11
3. ....
4. not enough info to solve.

Answer 7

1. x>_-.25
im not sure about the others

Answer 8

1. -8x<_2
x>_-1/4

2.5C3=10

3.Need more info here

Answer 9

um im clueless can i have 10 points anyhow lol jk goodluck

Answer 10

ty for the two points =)