The second child is about 19lbsif you want to round it otherwise it's 18 something lbs, so the first child is about... 57.
Answer:
the decimal expansion of 7/8 is
0.875
This is a great place and time to apply synthetic division. Since you are dividing the 3rd order poly by (a+2), let the divisor in synth. div. be -2.
Then:
_________________
-2 / 1 6 12 8
_____-2_-8 -8____________
1 4 4 0
Since there is no remainder, -2 is a root and (x+2) is a factor of the poly.
The quotient comes from those coefficinets 1 4 4
and is 1a^2 + 4a + 4, whose factors are (a+2)^2.
Let the width be x.
width = x
length = x + 8
The area is 20 ft²
x(x + 8) = 20
x² + 8x = 20
x² + 8x - 20 = 0
(x + 10) (x - 2) = 0
x = -10 (rejected) or x = 2
Width = x = 2 ft
Length = x + 8 = 2 + 8 = 10 ft
Answer: The width is 2 ft and the length is 10ft.
Let's use w to symbolize the weight of kittens. Given by the statement "each kitten weighs less than 3.5 ounces" we know that
1*w < 3.5
We can multiply both sides of the inequality by 7 to determine the total weights
7*(1*w) < 7*(3.5)
7*w < 24.5
Since there are 7 kittens, the combined weight of the kittens is 7w, therefore the above expression could be read as "The combined weight of the kittens is less than 24.5 ounces"
