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Brut [27]
3 years ago
6

Solve the system of equations given by 5x – 2y = -6 and 15x – 6y = 6

Mathematics
1 answer:
Anna11 [10]3 years ago
6 0
For 5x-2y=-6 it is 2.5x+3 and for 15x-6y=-6  is 2.5x-1
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Carlo and Anita make mailboxes and toys in their wood shop. Each mailbox requires 1 hour of work from Carlo and 4 hours from Ani
Natali [406]

Answer:

$80

Step-by-step explanation:

Let the number of hours required to make a mailbox = x

Let the number of hours required to make a toy = y

Each mailbox requires 1 hour of work from Carlo and 4 hours from Anita.

Each toy requires 1 hour of work from Carlo and 1 hour from Anita.

The table below summarizes the information for ease of understanding.

\left|\begin{array}{c|c|c|c}&$Mailbox(x)&$Toy(y)&$Maximum Number of Hours\\--&--&--&------------\\$Carlo&1&1&12\\$Anita&4&1&24\end{array}\right|

We have the constraints:

x+y \leq 12\\4x+y \leq 24\\x \geq 0\\y \geq 0

Each mailbox sells for $10 and each toy sells for $5.

Therefore, Revenue, R(x,y)=10x+5y

The given problem is to:

Maximize, R(x,y)=10x+5y

Subject to the constraints

x+y \leq 12\\4x+y \leq 24\\x \geq 0\\y \geq 0

The graph is plotted and attached below.

From the graph, the feasible region are:

(0,0), (6,0), (4,8) and (0,12)

At (6,0), 10x+5y=10(6)+5(0)=60

At (4,8), 10(4)+5(8)=80

At (0,12), 10(0)+5(12)=60

The maximum revenue occurs when they use 4 hours on mailboxes and 8 hours on toys.

The maximum possible revenue is $80.

5 0
3 years ago
F(x) = 2x3 + 7x2 – 4x – 5
qaws [65]

Answer:

Its 3

Step-by-step explanation:

7 0
3 years ago
Police use the formula please help
icang [17]
What grade are you in I can try to help but this looks difficult can you try to explain it for me
6 0
2 years ago
Please help thank you very much
mezya [45]
1. 22
2.34
3. first one
hope this helps
3 0
3 years ago
Find the surface area of the triangular prism.
Ivahew [28]

I think it's 462.99, rounded it's 463

3 0
3 years ago
Read 2 more answers
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