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shtirl [24]
3 years ago
8

Stilton is paying for a $25 meal. He has a 15%-off coupon for the meal. After the discount, a 7% sales tax is applied

Mathematics
1 answer:
timofeeve [1]3 years ago
3 0

Answer:

$19.76

Step-by-step explanation:

First you turn the 15% to 0.15 and then you multiply it with $25 to get 3.75.

That isn't the meal though, but the discount you are going to get.

Now subtract 3.75 from 25 to get $21.25

After that multiply 21.25 with 7% which gets you 1.4875

Then, subtract 1.4875 from 21.25 to get 19.7625 which is rounded to $19.76

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Choose the solution(s) of the following system of equations x2 + y2 = 6 x2 – y = 6
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<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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