Answer:
3) 10^12
4) 0.99^4
8) x^12
9) 3/4^6
Step-by-step explanation:
10^(6+5+1)
0.99^(3+1)
x^(6+2+4)
3/4^(2+2+2)
X/2 +3y = 6 . . . . . . . . starting point
x/2 = 6 -3y . . . . . . . . subtract terms that don't have x
x = 2(6 -3y) . . . . . . . . multiply by the inverse of the x-coefficient
x = 12 -6y . . . . . . . . . expand if you like
3y = 6 -x/2 . . . . . . . . subtract terms that don't have y
y = (6 -x/2)/3 . . . . . . . multiply by the inverse of the y-coefficient
y = 2 -x/6 . . . . . . . . . expand if you like
Originally the ratio is 5:3, but we can make this ration 5x:3x because its equal. By doing so, we know that 5x+3x=32.
Now just solve the equation:
5x+3x=32
8x=32
x=4.
Now insert x into ratio.
Since she needs 3x of guava juice, she needs 3*4 fl oz of guava juice. She need 12 fl oz of guava juice.
Answer:
12 FL OZ of guava juice.
The distance between those two points would be (8,-3)
