Jackie wants to keep her total work time <em>under </em>20 hours, so we can set up a rough inequality right away:
(work time in hours) < 20
Now, it's going to take here 1/2 = 0.5 hours to finish each necklace, an 1 hour to finish each bracelet, so if she's making x necklaces, it'll take her 0.5x hours to make all of them, and if she's making y bracelets, it'll take her 1y = y hours to finish those. Putting the two together, it'll take her 0.5x + y hours altogether to make the necklaces and bracelets. Putting that together with our first inequality, we get the final inequality
0.5x + y < 20
Answer:
bran to blueberry: 4:1
banana nut to bran: 1 to 2
total to corn: 12 muffins to 5 muffins
bran to total: 1/3
Step-by-step explanation:
hope that helped.
the assumption being that "x" is a plain variable whilst "y" is a function, that matters because the chain rule would be needed for a function, not so for a plain variable.
now, we know that y(5) = -23, which is another way of saying that when x = 5, y = -23, but we already knew that, we can get that by simply plugging it into the equation hmmm y'(5), well
