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Semmy [17]
3 years ago
9

What digit in the serial number of this dollar bill occurs most often? 6,8,5,8,2,8,5,8

Mathematics
1 answer:
Nastasia [14]3 years ago
7 0
8 occurs most often.
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J is the midpoint of HK¯¯¯¯¯¯¯ . What are HJ, JK, and HK?
lana [24]
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 
</span>HJ = 9(3) - 2
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
4 0
3 years ago
Solve for y.<br> 5. x = 1/3y +2
maxonik [38]

Answer: y=3x-6

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
If 12 workers can dig a tunnel in 100 days, how long will it take 20 workers to dig the tunnel
Paraphin [41]

Answer:

60 days.

Step-by-step explanation:

This is  a proportion question. You compare two ratios. Unfortunately it is an inverse ratio.

12 = k/100                   Multiply both sides by 100

1200 = k

20 = k/x                       Multiply both sides by x

20x = k

20x = 1200                 Divide by 20

20x/20 = 1200/20

x = 60 days.  

An inverse proportion works by making a constant k. The  constant k makes the days shorter when the number of people increases. You should expect that. More people , less time.

3 0
2 years ago
-1/2 divided by _____= -7/3 please fill in the blank
Ierofanga [76]
Multiply -1/2 by -7/3 to get the answer

8 0
3 years ago
Ray MN and ray ML are two sides of an angle. What is a name of this angle?
Setler [38]
It is (c) NML
Because MN and ML is the vertex and the point meeting is M which is the angle.
The M is the angle because the common letter of both vertex is the letter M

7 0
3 years ago
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