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If 3xy = 9xz = 12yz = 1, what is the value of x, y, and z? This is just a set of 3 equations: 3xy=1 9xz=1 12yz=1 ⇒(18xyz)^2=1 ⇒ xyz = ± 1/18 ⇒ (x,y,z) = ±(2/3,1/2,1/6) PLEASE TELL ME HOW DID THE SOLUTION CAME UP WITH xyz = ± 1/18 and (x,y,z) = ±(2/3,1/2,1...

At a butcher shop, 1 pound of beef and 2 pounds of chicken costs 859 cents. 1 pound of beef and 2 pounds of duck costs 951 cents. What is the total cost of 1 pound of beef, 1 pound of chicken, and 1 pound of duck (in cents)?

Two cars run at constant speeds around a one-mile racetrack. If the cars circle the track in the same direction, the faster car passes the slower car every 10 minutes. If the cars circle the track in opposite directions, the cars meet every 30 seconds. Fi...

A candy store sells almonds for $18 per kilogram and peanuts for $8 per kilogram. If it sells 20 kilograms of mixed nuts for $10 per kilogram, how many kilograms of almonds are in the mixed nuts?

(a).Time (t) 0 weeks 3 weeks 6weeks Investment Value v(t) $10000 $2025 $6400 Using the data written down in the table in (a) derive a quadratic function (you BiQuad model), 𝑣(𝑡), relating the value of Peter’s share portfolio to elapsed time. Show all work...

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