smith wants to rearrange all the letters of the word "OUT" in different ways. how many possible ways could he do it
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slot method 3 slots 1st slot, 3 options 2nd slot, 2 options (1 went to first slot) 3rd slot, 1 option(1 went to 2nd slot)
3*2*1=6 6 ways
anita has two sisters and three brothers. the mean of all their ages is 6 years. what will their mean age be 10 years from now?twenty years from now?
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Answer: Now: 6 yr mean age in 10 yrs? 16 yr mean age in 20 yrs? 26 yr mean age
Why? Because regardless of the relationship between each sibling's age, your always adding the 10yrs to each individual, which you are then dividing out to determine the mean age. See proof below:
Including anita, there are 6 people. We'll define each age as an unknown variable. Assume we know nothing about the relationships between their ages
for example sake anita's age = a sister 1's age = b sister 2's age = c brother 1's age = d brother 2's age = e brother 3's age = f
Now: mean age = (a + b + c + d + e + f)/(6 people) = 6 yrs
in 10 yrs: mean age = ((a+10) + (b+10) + (c+10) + (d+10) + (e+10) + (f+10))/(6 people) mean age = (a + b + c + d + e + f + 60)/(6 people) mean age = (a + b + c + d + e + f)/(6 people) + (60)/(6 people) mean age = (a + b + c + d + e + f)/(6 people) + 10
Notice the first term is the same expression of the mean age for "Now" Thus, in 10 yrs: mean age = 6 + 10 = 16 yrs
The same principle applies for "x" yrs from now, as long as we know what the mean age is "Now"
Answer:
10 years from now= 16
20 years = 26
Step-by-step explanation:
A) write a relation for perimeter of a square with side length n centimetres
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The perimeter of a square is equal to the side length times 4.
The equation is P = 4S, with P being the perimeter, and S being a side.
Also, to get the length of a side from the perimeter, just divide the perimeter by 4.
To have it in centimeters, just add cm to the end of your answer!
For which of the following possible values of n will the expression the smallest value? (5n)/4 have the smallest value?A. -8 B. -4 C. 4 D. 8
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Answer:
a
Step-by-step explanation:
Answer:
-8
Step-by-step explanation:
admission to a science museum is $18 per person. which equation represents the cost, c, of admission to the science museum for p people.
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18 per person. c = cost. p = people. then c=18*p
263 rounding to the nearest tenth
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263 rounded to the nearest tenth is 260
300 is the correct answer if you need any other help add me as me as friend and I always check your profile to see if you have any questions.....