Algebra Answers

Calculate 12.6 divided by 3

14+22+30+...+814

-10-16-22-...-6004

7. Find the term that contains x^5 in the expansion of (2x+y)^20
8. Find the coefficient of x^8 in the expansion of (x^2 + 1/x)^10
9.Find the number of different ways of placing 15 balls in a row given that 4 are red, 3 are yellow, 6 are black and 2 are blue.
10. A pizza parlor offers the basic cheese pizza and a choice of 16 toppings. How many different kinds of pizza can be ordered at this pizza parlor?
11. A committee of seven - consisting of a chairman, a vice chairman, a secretary and four other members - is to be chosen from a class of 20 students. In how many ways can this committee be chosen?
12. What is the probability that in a class of 35 students, at least two have the same birthday?

1. Find the nth term of a sequence whose first several terms are given 1/2, 3/4, 5/6, 7/8
2. Find the nth partial sum of the sequence given by An=1/n-1/n+1
3. The 11th term of an arithmetic sequence is 52, and the 19th term is 92. Find the 1000th term
4. How many terms of the arithmetic sequence 5, 7, 9 must be added to get 572?
5. The third term of a geometric sequence is 63/4 and the sixth is 1701/32. Find the fifth term
6. Find the fraction that represents the rational number (2.351)

one litre of milk costs N$X in a supermarket. The cost of a six-pack of 100ml of fruit juice costs N$15 more than the cost of one litre of milk. Hillman pays N$ 95 for three one litre bottles of milk and two six-packs of fruit juice.
1. write an equation in terms of x, representing this information
2.what is the cost of one litre of milk

A manufacturer has 600 litre of 12%acid solution. How many litres of 30% acid solution must be added to it so that acid content in the resulting mixture will be more than 15% but less than 18%?

A circle with 0,and two points on the circumference a and b,Angle OAB=2y ,ABO=x+20 and BOA =3x Form two simultaneous equations

Scientists are studying the temperature on a distant planet. They find that the surface temperature at one location is
35°
Celsius. They also find that the temperature decreases by
5°
Celsius for each kilometer you go up from the surface.

WHAT IS THE SLOPE OF THE LINE WITH THE EQUATION 2X+3Y+6=0