Question

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homework

1. find the value of the unknown in each of the following.

(a) \\(s = \frac{1}{6}n(n + 1)(n + 2)\\) if \\(n = 5\\), \\(s = ?\\)
\\(s = \underline{\quad\quad\quad}\\)
(b) \\(f = \frac{uv}{u + v}\\) if \\(u = 10\\), \\(v = 2\frac{1}{2}\\), \\(f = ?\\)
\\(f = \underline{\quad\quad\quad}\\)
(c) \\(p = 4x + 5x^2\\) if \\(x = 2\\), \\(p = ?\\)
\\(p = \underline{\quad\quad\quad}\\)

1. the money earned (\\$e) by selling \\(n\\) cameras is given by the formula \\(e = 100n(n + 1)\\). find the value of \\(e\\) when \\(n = 10\\).
2. the greatest number of pieces (\\(n\\)) into which a cake can be divided by \\(c\\) cuts, may be found with the formula:

\
= \frac{c \times (c + 1)}{2} + 1\\
what is the greatest number of pieces that can be made by 5 cuts?

Explanation:

Evaluate formula (a)

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Evaluate formula (b)

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Evaluate formula (c)

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Evaluate Question 2

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Evaluate Question 3

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Answer:

Question 1

(a) \(S = 35\)

(b) \(f = 2\)

(c) \(P = 28\)

Question 2

\(E = 11000\)

Question 3

\(n = 16\)