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kkurt [141]
2 years ago
5

Solve the system of equations. 7x - 3y =20 Y= 5x - 4 X= Y=

Mathematics
1 answer:
Katena32 [7]2 years ago
7 0
7x=20+3y
X=(20+3y)/7

Y=5x-4
Y=5((20+3y)/7)-4
Y=((100+15y)/7)-4
7y=100+15y-28
7y=72+15y
7y-15y=72
-8y=72
Y=-9

7x-3y=20
7x-3(-9)=20
7x+27=20
7x=20-27
7x=-7
X=-1
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A fish-tank has a length of 27 centimeters, a width of 21 centimeters and a depth of 16 centimeters. Find the volume of the fish
NISA [10]

Answer:

To find the volume of the fish tank, we will need to multiply the height, the length, and the width of the fish tank. So, 21 x 27 x 16 = 9072 cm

8 0
3 years ago
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If I buy a stereo for $245 and this includes GST of 10%, what is the pre-GST price?
Ivan

Answer:  $222.73

===========================================

Work Shown:

x = pre-GST price

10% of x = 0.10x = tax amount

x + 0.10x = 1.10x = post-GST price = 245

1.10x = 245

x = 245/1.10

x = 222.7272 approximately

x = 222.73 is the price before tax.

------------

Check:

10% of 222.73 = 0.10*222.73 = 22.273 = 22.27

The tax amount ($22.27) is added to the pre-GST price to get

22.27+222.73 = 245

which matches the post-GST price mentioned.

The answer is confirmed.

Or another way to confirm the answer is to calculate this

1.10*222.73 = 245.003 = 245

6 0
2 years ago
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The volume of a packing box is 5 – x cubic feet. The width of the box is x feet and the length is x – 2 feet. The height is give
photoshop1234 [79]
By definition we have that the volume is given by
 V = h * w * l
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 h: height
 w: width
 l: length
 Clearing the height we have:
 h = V / (w * l)
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 x = 0
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 Answer
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4 0
3 years ago
What is the inverse of the function f(x) = 2x + 1?
soldier1979 [14.2K]

Answer: The inverse of the linear function f(x)=2x+1 is f^(-1) (x) = (1/2)x-1/2


Solution

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y=f(x)

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Isolating x: Subtracting 1 both sides of the equation:

y-1=2x+1-1

y-1=2x

Multiplying both sides of the equation by 1/2:

(1/2)(y-1)=(1/2)2x

(1/2)y-1/2=x

x=(1/2)y-1/2

Changing "x" by "f^(-1) (x)" and "y" by "x":

f^(-1) (x) = (1/2)x-1/2

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olga_2 [115]
I believe it would be 3.5 years or 3 1/2 years
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