By the binomial theorem,

Each term containing a factor 6 is divisible by 3, since 3 divides 6. The remaining 1 and 2 sum to 3, which is also divisible by 3.
Answer:
Depth of the rain gutter is 8 inches
Step-by-step explanation:
Let’s assume ‘x’ is the depth of the rain gutter
Then the width of the rain gutter can be written as 16 - 2x
Cross sectional area
A = depth x width
Substitute values
A = x*(16 - 2x)
A = 16x – 2x^2
Now according to axis of symmetry for maximum area x = -b/2a
x = -16/2*(-2)
x = 4 inches depth of rain gutter, substitute the value of x to get
Width of rain gutter 16 – 2(4) = 8 inches
Area of the rain gutter for maximum water flow
A = 4 * 8
A = 32 square inch.
what are the answer option??
I turn the mixed numbers into decimals before doing anything else.
11 2/5----> 57/5----> 11.4
4 2/7----> 30/7----> 4.29
2 1/7----> 15/7----> 2.14
11.4=q-4.29+2.14
11.4=q-2.15
13.55= q
13.55 converted to a fraction is 13 11⁄20
q=13 11⁄20
Answer:
$9,979,032,100 or $9.979 billion
Step-by-step explanation:
The approximate weight of a $100 bill is 1 gram.
All of the calculations bellow assume that the volume of the bills would not be an issue and only concerns weight.
1 pound is equivalent to approximately 453.59237 grams.
The weight in grams that the Big Falcon Rocket can carry is:

Since each bill weighs 1 gram, the number of bills it could carry, rounded to nearest whole bill is 99,790,321. The total amount it could carry is:
