Answer:
1/3 cup = 12 Small
Small = 1/3 / 12
Small = 1 /(3 x 12)
Small = 1 /36 cup
1/3 cup = 8 Big
Big = 1/3 /8
Big = 1 / (3 x 8)
Big = 1/24 cup
Step-by-step explanation:
Let x = the length of the rectangle
Let w= the width
Two sections are required, hence 2w of fence required
2x+3w=500
this can be written as:
3w=1500-2x
w=(1500-2x)/3
Area=x*w
replacing w with our expression:
A=x(1500-2x)/3
A=(500x-2x^2)/3
This is a quadratic equation, if we find the axis of symmetry we will know what value of x gives maximum area:
Axis of symmetry: x=-b/2a
From our equation we get:
a=-2/3; b=1500/3
thus
x=(1500/3)/(-(-2/3))
x=750
thus the maximum area will be given by length of 750
Answer:
-2,2
Step-by-step explanation:
Let
We have to find the value of c such that the are of the region bounded by the parabolas =32/3
Now, the area bounded by two curves
When c=2 and when c=-2 then the given parabolas gives the same answer.
Therefore, value of c=-2, 2
16 red cars and 12 black cars. He put half of each colour in each box. Therefore he would put 8 red and 6 black in each box. 8 red + 6 black is 14. Therefore he would have 14 cars in each box.
14.