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pogonyaev
3 years ago
7

Solve the system of equations. 2x + 3y = 1 y = 3x + 15

Mathematics
1 answer:
MrMuchimi3 years ago
6 0
Since y=3x+15
sub 3x+15 for y in other equation

2x+3(3x+15)=1
2x+9x+45=1
minus 45
11x=-44
divide 11
x=-4

sub
y=3x+15
y=3(-4)+15
y=-12+15
y=3

(-4,3)
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Farhan orders one plate of seafood fried rice at a restaurant which offers at 25% discount. the Marked price of the seafood frie
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Answer:

The total amount of money he has to pay for the dish is $8.3861.

Step-by-step explanation:

Here, the marked price of the seafood fried rice  = $9.50

Now, discount on the marked price  = 25%

Calculating 25% of $9.50 = \frac{25}{100}  \times 9.50 = 2.375

So, the discount offered = $2.375

Now, the Selling Price of dish = Marked Price - Discount

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Now, here the service charge applied here  = 10%

Calculating 10% of $7.125 = \frac{10}{100}  \times 7.125 = 0.7125

So, the service charge applied  = $0.7125

So, the new Selling Price of dish = Selling Price + Service Charge

                                                    =  $7.125 + $0.7125   = $7.8375

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Calculating 7% of $7.8375 = \frac{7}{100}  \times 7.8375 = 0.5486

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Hence, the total amount of money he has to pay for the dish is $8.3861.

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3 years ago
What is the simplified form of x minus 5 over x squared minus 3x minus 10 ⋅ x plus 4 over x squared plus x minus 12? (6 points)
iren2701 [21]
Step 1 is to factor everything! 

After factoring you will get:

x-5 over (x+2)(x+5) times x+4 over (x-3)(x+4)

Step 2 is to remove the duplicate factors!
Remove x+4 and x+5

x-5 over (x+2)(x-5) times 1 over x-3 = 1 over x+2 times 1 over x-3 

Step 3 is to multiply the numerators and the denominators.

End result is 1 over (x+2)(x-3)




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