2x+3y=60 solve for x...
x=(60-3y)/2
p=xy^3, using x from above:
p=y^3(60-3y)/2
p=(60y^3-3y^4)/2
dp/dy=(180y^2-12y^3)/2
dp/dy=90y^2-6y^2
dp/dy=0 when:
90y^2-6y^3=0
6y^2(15-y)=0, we know y>0 so
y=15, since x=(60-3y)/2
x=7.5
(We solved it this way because otherwise you get quartic equations and cubic derivatives, yuck :P)
Answer:
65$
Step-by-step explanation:
Section 2 Topic 3 Homework
Question 2 of 4
Miguel spends $100 on books, five of which are hardcover and the remaining four are paperback. The prices at the bookstore are based
on whether the book is hardcover or paperback. It charges $2 less for paperback books than for hardcover books. What is the price for
hardcover books?
The value is 0.02
If it is a negative number, you move the decimal over to the left. :)
Answer:
673
Step-by-step explanation:
okay so uh this is my way and the answer works so like yea teachers dont show like this but ii figured this works
okay so
85/100 = 572/?
so if you divide 85 by 85 its gonna equal 1 and 1 times 100 is gonna be 100
useing the same concept, it should be the same with 572 , but instead of divideing by 572, divide by 85.
basically 572/85
okay now thats gonna give you 6.72941176471 thats vasically 1% of the population.
so multiply 6.72941176471 * 100
so now you have
672.941176471 and you can round this to 673 kids.
and you know its right since 85% of 673 is 572.05 and you can sound to 572
Answer:
Step-by-step explanation:
Volume of a rectangular prism is length × height × width
Length=7 1/2
Width= 15 1/2
Height=12
Volume of the prism is therefore:
7 1/2×12×15 1/2= 1395cm3
No of cubes with edge length 1/2 to fit into the prism will be:
Volume of cube is L*W*H
1/2*1/2*1/2= 1/8cm3
Therefore the no of cubes to fit into the Prism will be:
1395/(1/8)= 11160 cubes.
If one was stuck,the number of 1/2 edge length cube to fit into 1cm will be:
1/(1/8)= 8 cubes
