Answer:
The original piece of wood is 108 cm
Step-by-step explanation:
From the given ratio, the shortest is of the ratio 5 and the longest is of the ratio 7
Let the original piece of wood be x
so the sum of the ratios will be;
5 + 6 + 6 + 7 = 24
the shortest length would be 5/24 * x
= 5x/24
the longest will be 7/24 * x = 7x/24
From the question;
7x/24 -5x/24 = 9
(7x-5x) = 24(9)
2x = 24(9)
x = (24 * 9)/2
x = 108 cm
Answer: 16517 dollars
Step-by-step explanation:
Given that x is the number of years after 2000.
In 2005, the number of years x = 4
Because the equation was modelled for 4 year college courses
The best estimate for the average cost of tuition in 2005 will be
ŷ = 937.98(4) + 12,764.90
Y = 3751.92 + 12764.9
Y = 16516.82 dollars
Y = 16517 dollars
The left side of this equation is already a perfect square: <span>x^2-10x+25=35.
Rewriting it, we get (x-5)^2 = 35.
Taking the sqrt of both sides, x-5 = sqrt(35).
Solving for x: x = 5 plus or minus sqrt(35) (answers)</span>
