1500 + 6000 = 0.9(3 * 12)x
7500 = 32.4x
7500/32.4 = x
231.48 = x......hmmm...not quite...I would go with 232
Let x and y be the two numbers
Saying "The sum of two numbers is 27" means x+y = 27. The term "sum" is the result of adding. So the first equation is x+y = 27
The second equation is y = x+3 where we assume that y is the larger number of the pair.
So your system of equations will be
x+y = 27
y = x+3
Use substitution to solve this system.
x+y = 27
x+( y ) = 27
x + (x+3) = 27 ... notice how y has been replaced with x+3 (since y = x+3)
x+x+3 = 27
Solve for x and then use this to find y. I'll let you finish up.
If you need more help, then please let me know.
When you look at options b) c) and d) they all have something in common: something happened once, or many times, and from this someone thinks (induces) that this is the rule - this i an example of an inductive reasoning.
The correct answer is a)- the mechanic had a hypothesis which he then tested and rejected - this is how a scientific method works!
It sounds like <em>R</em> is the region (in polar coordinates)
<em>R</em> = {(<em>r</em>, <em>θ</em>) : 2 ≤ <em>r</em> ≤ 3 and 0 ≤ <em>θ</em> ≤ <em>π</em>/2}
Then the integral is
-9 is less than -1 because -1 is closer to the right side of the number like and whatever is closer is greater