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Dominik [7]
2 years ago
7

Adult tickets to a play cost $22. Tickets for children cost $15. Tickets for a group of 11 people cost $228. Write and solve a s

ystem of equations to find how many children and how many adults were in the group.
Mathematics
1 answer:
Dahasolnce [82]2 years ago
8 0

Answer: 9,2

Step-by-step explanation:

a+c=11

a=11-c

22(11-c) + 15c = 228

242-22c + 15c = 228

-7c=-14

C = 2 (two children)

Remember how a + c = 11

a + 2 = 11

A= 9

9 adults, 2 children.

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Find the maxmium area of a rectangular plot of land which can be enclosed by rope of length 60 metres​
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Answer:

225 m²

Step-by-step explanation:

If W is the width of the rectangle, and L is the length, then:

60 = 2W + 2L

A = WL

Use the first equation to solve for one of the variables:

30 = W + L

L = 30 − W

Substitute into the second equation:

A = W (30 − W)

A = 30W − W²

This is a parabola, so we can find the vertex using the formula x = -b/(2a).

W = -30 / (2 × -1)

W = 15

Or, we can use calculus:

dA/dW = 30 − 2W

0 = 30 − 2W

W = 15

Solving for L:

L = 30 − W

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So the maximum area is:

A = WL

A = (15)(15)

A = 225

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2 years ago
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