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Snezhnost [94]
2 years ago
13

Your ship sinks and you swim to a nearby island. On this island, the inhabitants do not use money. The island residents use isla

nd fruit as money.
If 60 bananas = 20 coconuts
35 figs = 15 oranges
10 coconuts = 25 figs
200 figs = 1 boat
How many bananas would you need to purchase a boat to get off the island?
Mathematics
2 answers:
Cloud [144]2 years ago
7 0

Answer:

To buy the boat you would need 240 bananas.

Explanation:

3 bananas = 1 coconut

1 coconut = 2.5 figs

200 figs (price of boat) = 80 coconuts

80 coconuts (price of boat) = 240 bananas

natita [175]2 years ago
5 0

Answer:

240 bananas

Step-by-step explanation:

You would need 8 sets of figs. 10 coconuts is equal to 25  figs so you need 80 coconuts. You would need enough bananas to get 4 sets of coconuts. 60*4 = 240

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Solve the system by using a matrix equation (Picture provided)
Katyanochek1 [597]

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Option b is correct (8,13).

Step-by-step explanation:

7x - 4y = 4

10x - 6y =2

it can be represented in matrix form as\left[\begin{array}{cc}7&-4\\10&-6\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}4\\2\end{array}\right]

A= \left[\begin{array}{cc}7&-4\\10&-6\end{array}\right]

X= \left[\begin{array}{c}x\\y\end{array}\right]

B= \left[\begin{array}{c}4\\2\end{array}\right]

i.e, AX=B

or X= A⁻¹ B

A⁻¹ = 1/|A| * Adj A

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                                    = (-42)-(-40)

                                    = (-42) + 40 = -2

so, |A| = -2

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A⁻¹ =  \left[\begin{array}{cc}3&-2\\5&-7/2\end{array}\right]

X= A⁻¹ B

X=  \left[\begin{array}{cc}3&-2\\5&-7/2\end{array}\right] *\left[\begin{array}{c}4\\2\end{array}\right]

X= \left[\begin{array}{c}(3*4) + (-2*2)\\(5*4) + (-7/2*2)\end{array}\right]

X= \left[\begin{array}{c}12-4\\20-7\end{array}\right]

X= \left[\begin{array}{c}8\\13\end{array}\right]

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solution set= (8,13).

Option b is correct.

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