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zhenek [66]
3 years ago
8

Mike is redecorating his office’s conferences rooms. When they were last painted it took 20 pints of paint. The paint he is usin

g only comes in liters. How many liters will he need to buy to paint the room?
Mathematics
1 answer:
german3 years ago
4 0

Previously the volume of paint consumed was: 20 pints

New paint is available in unit of liters.

since, 1 pint = 0.47 liter

20 pint = 9.46 liters (10 liters approx.)

Mike will need to buy 10 liters of paint.

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J is the midpoint of HK¯¯¯¯¯¯¯ . What are HJ, JK, and HK?
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Since J is the midpoint of HK, that means HK is split into two sections HJ and JK that are the same length.

1) You are told that the m<span>easure of segment HJ = 9x-2 and that of segment JK = 4x+13. Since you also know they are equal lengths, you can set these equations equal to each other to find the value of x!
HJ = JK
</span>9x-2 = 4x+13
5x = 15
x = 3

2) Now you know x = 3. Plug that into your given equations for HJ and JK to find the length of each segment (or a shortcut would be to find one of them, and then you also know the other is the same length. I'm doing both, just to make sure I don't make a silly mistake!):
HJ = <span>9x-2 
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HJ = 27 - 2
HJ = 25

JK = 4x + 13
JK = 4(3) + 13
JK = 12 + 13
JK = 25

3) Finally, the length of HK is just the length of HJ + JK, or HK = 25 + 25 = 50.

-----

Answer: HJ = 25, JK = 25, HK = 50
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