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Vlada [557]
3 years ago
8

Hey i need help with system of equations. i uploaded a doxs file you can onpen it in google docs

Mathematics
1 answer:
Art [367]3 years ago
3 0

Answer:

<h2>PART A: x = 15 and y = -8</h2><h2>PART B: x = -5 and y = 3</h2>

Step-by-step explanation:

PART A:

The first equation is x + y = 7\\y = 7 - x  .............(a)

The second equation is 3x - 2y = 1\\2y = 3x - 1

Putting the value of y from (a) in the above equation, we get 2y = 3x - 1\\2(7 - x) = 3x - 1\\14 - 2x = 3x - 1\\x = 15

From (a) we get y = 7 - x = 7 - 15 = -8

PART B:

Here the system of equations are -x + 4y = 17........(a) and 3x - 5y = -30.........(b)

From (a) we get, x = 4y - 17

Putting the above value of x in (b) we get, 3x - 5y = -30\\3(4y - 17) - 5y = -30\\12y - 51 - 5y = -30\\7y = 21\\y = 3

Hence, x = 4y - 17 = 12 - 17 = -5

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Tony’s club is selling oranges to raise money. For every box they sell, they get 1 1/8 dollars profit. They have sold 75 boxes a
dmitriy555 [2]

Tony’s club is selling oranges to raise money. For every box they sell, they get 1 1/8 dollars profit. They have sold 75 boxes already. How many more boxes must they sell to raise 180 dollars?

Answer: We are given:

The amount of money Tony's club get for every box they sell =1 \frac{1}{8} =1.125 dollar

They amount of money Tony's club has raised by selling 75 boxes is:

75 \times 1.125=84.375 dollars

The amount of money Tony's club is required to raise = 180 dollars

The remaining need to be raised is :

180-84.375=95.625 dollars

Therefore, the number of more boxes to be sold are:

\frac{95.625}{1.125}=85

Hence, 85 more boxes they must sell to raise 180 dollars

8 0
3 years ago
Billy Found The Slope of the line through the points (2,5) and (-2, -5) using the equation shown in the picture below. What mist
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Answer: the numbers were negative so he needed to add the positive numbers to that equation (I think sorry if I’m wrong)

Step-by-step explanation:

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2 years ago
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Answer:

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A rectangle has an area of 8 square centimmetres and a perimeter of 12 cm. What are the width and breath?
vlada-n [284]
Let the Length be L and the Width be W

The area is 8 cm²
LW = 8

The perimeter is 12
2(L + W) = 12
L + W = 6

Solve L and W:
LW = 8 --------------- (1)
L + W = 6------------ (2)

Equation (2):
L + W = 6
L = 6 - W -------------- Sub into (1)
(6 - W) W = 8
6W - W² = 8
W² - 6W + 8 =0 
(W -2 )(W - 4) = 0
W = 2 or 4

When W =2, L = 6 - 2 = 4
When W = 4, L = 6 - 4 = 2

Answer: The Width is 2 cm and the Length is 4 cm
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3 years ago
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professor190 [17]
It is D. This is because if you add 1 to both sides, you can get (x+1)^2 and then the other side will have 20
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