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Pepsi [2]
4 years ago
13

The coffee shop is having a special where 2 pounds of coffee cost four dollars. Assume that the total cost in dollars y varies d

irectly with the number of pounds of coffee x. This can be represented by y=2x. How much will 2.5 pounds of coffee cost
Mathematics
1 answer:
Anarel [89]4 years ago
8 0

Answer:

Step-by-step explanation:

If 2 pounds costs $4, then 1 pound costs $2.  That's why the equation is y = 2x and x is the number of pounds you buy.  If you buy 2.5 pounds, then the cost is y = 2(2.5) so

y = $5

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Answer:  The original number was 18.25 or 18 1/4

18.25 plus 6 is 24.25

24.25 times 2 is 48.5

Step-by-step explanation:

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Step-by-step explanation:

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Choose the solution(s) of the following system of equations x2 + y2 = 6 x2 – y = 6
ElenaW [278]
<h2>Answer</h2>

x=\sqrt{6}, y=0\\ x=-\sqrt{6} , y=0\\x=\sqrt{5} , y=-1\\x=-\sqrt{5} , y=-1

Or as ordered pairs: (\sqrt{6} ,0),(-\sqrt{6} ,0),(\sqrt{5} ,-1),(-\sqrt{5} ,-1)

<h2>Explanation</h2>

Lets solve our system of equations  step by step

x^2+y^2=6 equation (1)

x^2-y=6 equation (2)

1. Solve for x^2 in equation (2)

x^2-y=6

x^2=6+y equation (3)

2. Replace equation (3) in equation (1) and solve for y

x^2+y^2=6

6+y+y^2=6

y^2+y=0

y(y+1)=0

y=0 or y=-1

3. Replace the values of y in equation (3) and solve for x

- For y=0

x^2=6+y

x^2=6

x=\sqrt{6} or x=-\sqrt{6}

- For y=-1

x^2=6+y

x^2=6-1

x^2=5

x=\sqrt{5} or x=-\sqrt{5}

So, the solutions of our system of equation are:

x=\sqrt{6}, y=0\\ x=-\sqrt{6} , y=0\\x=\sqrt{5} , y=-1\\x=-\sqrt{5} , y=-1

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