Answer:
1000 m of fence can make a 3-sided enclosure of 125,000 m²
Step-by-step explanation:
Let x represent the length of fence parallel to the river. Then the perpendicular dimension is ...
width = (1000 -x)/2
and the enclosed area is ...
area = length×width = (x)(1000 -x)/2
This describes a downward-opening parabola with zeros at x=0 and x=1000. The vertex (maximum) is halfway between, at x=500.
Then the maximum area is ...
area = (500)(1000 -500)/2 = 125,000 . . . . square meters
12 is a common denominator.
1/4 = 3/12
2/3 = 8/12
Answer:
4a^4·b^5
Step-by-step explanation:
The applicable rule of exponents is ...
(x^a)(x^b) = x^(a+b)
The commutative and associative properties of multiplication apply, so we can write the expression as ...
4·(a^3·a)·(b^2·b^3) = 4·a^(3+1)·b^(2+3) = 4·a^4·b^5
Answer:
C
Step-by-step explanation:
In normal circumstances, you would multiply the amount of boxes by 3, and the amount of pounds by 4. So you do the same here:
3b + 4p
Mr McKay spent 3b + 4b in total