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Nikolay [14]
2 years ago
14

The following six students – Andy, Betty, Chris, Frank, Mark and Mary are standing in line outside of a classroom: Chris, the la

st one in line, is right behind Andy; Mark is between Mary and Betty; Frank, who is one ahead of Betty, is the first one in line. Where is Mary in the line? Second Third Fourth Fifth
Mathematics
1 answer:
lorasvet [3.4K]2 years ago
6 0

Answer:

(C) Fourth

Step-by-step explanation:

Taking the restrictions, we place the names on a list.

Chris, the last one in line is right behind Andy

Frank, who is one ahead of Betty, is the first one in line.

Mark is between Mary and Betty

  1. Frank
  2. Betty
  3. Mark
  4. Mary
  5. Andy
  6. Chris
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What is the midpoint of the segment shown below?<br> (-12,-3) (3,-8)
shepuryov [24]

Answer:

D

Step-by-step explanation:

In order to find the midpoint of a line segment on a graph, you must add both "x" coordinates, then divide by 2.

Then, add both "y" coordinates, and divide by 2.

5 0
2 years ago
For the diagram below figure b is a reflection of y=2x of the line y =x
Scilla [17]
The equation of the line would be y = (1/2)x.

To find the equation of a line that is reflected through the line y = x, we just switch the x and y. Then, solve for y.

y = 2x
x = 2y
0.5x = y


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2 years ago
Diego has some money in his bank account before he starts a summer job. He deposits the money from the summer job in his bank ac
chubhunter [2.5K]

Answer:

it should be $23

Step-by-step explanation:

7 0
2 years ago
Determine the value of (tangent of 88 degrees, 22 minutes, and 45 seconds). In this case, minutes are 1/60 of a degree and secon
mariarad [96]

Answer:

  c.  35.34015106

Step-by-step explanation:

As with many problems of this nature, you only need to get close to be able to choose the correct answer. 22 minutes 45 seconds is just slightly less than 1/2 degree (30 minutes), so the tangent value will be just slightly less than tan(88.5°) ≈ 38. The appropriate choice is 35.34015106.

If you need confirmation, you can find tan(88°) ≈ 29, so you know the answer will be between 29 and 38.

__

The above has to do with strategies for choosing answers on multiple-choice problems. Below, we will work the problem.

The angle is (in degrees) ...

  88 + 22/60 +45/3600 = 88 + (22·60 +45)/3600 = 88 +1365/3600

  ≈ 88.3791666... (repeating) . . . . degrees

A calculator tells you the tangent of that is ...

  tan(88.3791666...°) ≈ 35.3401510614

Many calculators will round that to 10 digits, as in the answer above. Others can give a value correct to 32 digits. Spreadsheet values will often be correct to 15 or 16 digits.

4 0
2 years ago
Suppose that some country had an adult population of about 50 million, a labor-force participation rate of 60 percent, and an un
schepotkina [342]

Answer:

The Answer is b. 1.5Million

Step-by-step explanation:

Adult Population = 50 Million

Labor-Force Rate = 60%

Total Labor Force of Adult population = 50Million*60% = 30Million

Unemployment Rate = 5%

People Unemployment =

Total Labor force of Adult population * Unemployment rate

People Unemployment = 30Millon*5%

People Unemployment = 1.5Million

8 0
1 year ago
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