Answer: the second piece
Step-by-step explanation: it's long enough so it can be cut
We're measuring a quantity of pure detergent.
We start with 11 gallons of an 18% solution. 18% of that, or 1.98 gallons, is pure detergent, and the rest of these 11 gal. is water: 9.02 gal. We will add x gallons of water to this solution to obtain (11+x) gallons of a 12% solution.
We need to find x to satisfy this equation:
(11 gallons + x)(0.12) = (11 gallons)(0.18)
Div. both sides by 0.12, we get (11 gallons + x) = (11 gallons)(1.5)
Mult. both sides by 10, we get 110 gallons + 10x = (11 gallons)(15)
Then 10x = 165 gallons - 110 gallons, or 55 gallons.
Div. both sides by 10, we get x = 5.5 gallons (answer)
Answer: D) 192.5
Step-by-step explanation:
First, calculate the area of one face, in this case the right triangle. The area of a triangle is 1/2bh(17.5 here) Then multiply this area by the length(11 here). 17.5 * 11 = 192.5
This is a geometric sequence with an initial term of 27 and a common ratio of 1/3
This just means that each term is 1/3 the term preceding it.
Any geometric sequence can be expressed as:
a(n)=ar^(n-1), a=initial term, r=common ratio, n=term number in this case:
a(n)=27(1/3)^(n-1)
Answer:
130,000 that's the number I dunno how to shrink it