The answer above is mostly correct, HOWEVER The ellipse is a vertical ellipse and therefore uses the equation (x^2/b^2)+(y^2/a^2)=1
a=10/2=5
b=8/2=4
put it in the equation and it is (x^2/4^2)+(y^2/5^2)=1
Simplify and the answer is (x^2/16)+(y^2/25)=1
The answer would be <span>A) rational.
The rational number is number that can be represented as a ratio of "a/b" where a and b is an integer. When you multiply two rational number of a/b and c/d, the result would be: a/b * c/d= ac/ bd
Since a and c is an integer, the product of ac would be integer too. The same thing applies to bd.
Since ac and bd is an integer, then ac/bd would be a rational number</span>
Start by solving for x in the first problem:
3x=3+9y
x=1+3y
Then plug that into the second equation:
6(1+3y)-3y=-24
6+18y-3y=-24
15y=-30
y=-2
Then plug that back into first equation:
3x-9(-2)=3
3x+18=3
3x=-15
x=-5
Then I would check your answer by plugging those into both equations:
3(-5)-9(-2)=3
-15+18=3
3=3 CHECK
6(-5)-3(-2)=-24
-30+6=-24
-24=-24 CHECK
So the answer is x=-5 y=-2
Begin with the addition: 1/2+1/4 = 2/4+1/4 = 3/4
Therefore, 3.50 is 3/4th of your money
You can solve for x (your money) using a simple cross equation
3/4 = 3.5/x
x=(3.5*4)/3
x=4.67
23/2 = 11 1/2 or 11.5....its gonna be midway between 11 and 12 on a number line.