So we know there are 12 eggs and they will be distributed like this:
12=x2+y1
and 4 cups of flour:
4=1/3x+1/2y
let's see if we can find a solution in which all the materials are used:
12=x2+y1
4=1/3x+1/2y//*6
12=2x+y
24=2x+3y//*6
substract from each other:
12=2y
y=2
12=2x+y
12=2x+2
10=2x
x=5
So if nothing is wasted, he can make 5 blueberry muffins (making 12*5=60) and 2 bran muffins (2*9=18), together 78 dollars,
would it be better if instead of the bran muffins he did blueberry muffins (which are more expensive?)
for the branberry muffins he will used the double amount needed for 1: so 1 cup of oil and 2 eggs. From this he can only make 1 tray of blueberry muffins (and some oil will be left over), which will cost 12 dollars, which is less than 18
so he better make 6 blueberry and 2 bran trays
A fraction with a denominator of 4 that is less than 7/12 miles is 1/4.Let the fraction be x/4. Since this fraction must be less than 7/12 miles, we can write the inequality, x/4 < 7/12.We now solve the inequality for x to obtain, x<7/12(4).
This simplifies to x<7/3
This implies that x<2 1/3
This is distance so x is positive.
So we can choose x=1 or x=2.
Therefore the possible fractions include 1/4 or 2/4.
In the simplest form, the most appropriate fraction is 1/4
I got 18x+9=y
--------- (divide)
9
if you want I can show you how I got that and if its wrong im sorry but that's the best simplified answer I got for y.
Answer:
m : the slope of the line.
( x, y ) : any point on the line.
( x1, y1 ) : a given point on the line.
I got -2,2....................