If l, k, m, and n are natural numbers such that l less than or equal k and m < n, show that l * m < k * n

## 1- Joe wants to sell his horses for 500.00 each and his cows for 300.00 each for a total of 2100.00 for them all.

1- Joe wants to sell his horses for 500.00 each and his cows for 300.00 each for a total of 2100.00 for them all. How many horses and how many cows are Joe selling? 2- King’s Service Station uses two kinds of cleaning solution containing acid and water. “Attack” is 2% acid and “Blast” is 6% acid. They want to …

## Using elimination.

Using elimination. 2x + y = 6 3x + 3y = 9

## There are three methods to solving Linear Systems with two Equations. They are the Graph method,

There are three methods to solving Linear Systems with two Equations. They are the Graph method, the Elimination method, and the Substitution method. When would you use each method? What makes each method better than the other methods?

## In Algebra, when using the addition method, how can you tell if a system of

In Algebra, when using the addition method, how can you tell if a system of linear equations has infinitely many solutions?

## Solve for X an Y in the following problem: a. X + Y=6 , 2X + Y = 8

Solve for X an Y in the following problem: a. X + Y=6 , 2X + Y = 8 b. 7X + 3Y = 14 , 5X + 9Y = 10 c. 4X + Y = 16 , 2X + 3Y = 24 d. 12X + Y = 25 , 8X – 2Y = 14

## If H and K are subgroup of G, with K a normal subgroup of G, K intersect H=1 and KH=G, then G is called a semidirect product (or split extention) of K by H.

If H and K are subgroup of G, with K a normal subgroup of G, K intersect H=1 and KH=G, then G is called a semidirect product (or split extention) of K by H. If sigma=(12) in S_n, n>=2, show that s_n is a semidirect product of A_n by <sigma> Show that the dihedral group D_n=<a,b|a^n=b^2=1,b^-1ab=a^-1> is a semidirect product …

## The U.S. Census Bureau International Database gives the population of the ten most- populated countries in

The U.S. Census Bureau International Database gives the population of the ten most- populated countries in the year 2000 and population predictions for 2050 for these countries: Chinahad 1.2 billion people in 2000 and is predicted to have a population of 1.3 billion in 2050. The U.S. had a population of 284 million in 2000 with a prediction of 420 …

## Write equation in terms of a rotated x y system using θ the angle of rotation. Write the equation involving x’ and y’ in standard form.

Write equation in terms of a rotated x y system using θ the angle of rotation. Write the equation involving x’ and y’ in standard form. 13x^2 -10xy + 13y^2 -72 =0 ; θ=45°

## Write the converse of the statement.

Write the converse of the statement. If I party, I’ll not pass.