Let T represent the fifth test score. The average is the sum of scores divided by their number.
... 82 = (83 +75 +93 +67 +T)/5
... 410 = 318 +T . . . . . . . multiply by 5
... 92 = T . . . . . . . . . . . . subtract 318
The fifth score was 92.
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One of the ways I like to work problems like these is to add the differences from the mean. Those are ...
1, -7, 11, -15
so their sum is -10.
The final score must be 10 above the mean in order for this total to be zero. 10 above the mean is 92.
Answer:
a. 
and 
Step-by-step explanation:
Let x be the larger number and y be the smaller number.
We have been given that one number is 4 more than another. We can represent this information in an equation as:
We can manipulate this equation as:
We are also told that the sum of both numbers is 60. We can represent this information in an equation as:
Upon looking at our given choices, we can see that option 'a' is the correct choice.
<h3>
Answer: B) 41 yd, 2 ft</h3>
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Work Shown:
1 yard = 3 feet
1/3 yard = 1 foot .... divide both sides by 3
1 foot = 1/3 yard
125 feet = 125/3 yard ... multiply both sides by 125
Now let's simplify the fraction 125/3
125/3 = 41.667 approximately
125/3 = 41 + 0.667
125/3 = 41 + 2/3
So,
125/3 yards = 41 yards + 2/3 yard
We have 41 full yards, then plus an additional 2/3 of a yard
1 yard = 3 feet
2/3 yards = (2/3)*(3 feet)
2/3 yards = 2 feet
Therefore, 125/3 yd = 41 yd + 2/3 yd = 41 yd + 2 ft = 41 yd, 2 ft
In short, 125 ft = 41 yd, 2 ft
