1.23 is decimal notation for "1 and 23 hundredths." Written as a mixed number, this is 1 23/100
Answer:
78
Step-by-step explanation:
The mean is the sum of the 5 numbers, divided by 5:
µ = (9 + 18 + 27 + 30 + x)/5 = (84 +x)/5 = 16.8 +x/5
The median of a 5-number set will be the middle number. Depending on the value of x, the mean/median may be 18, x, or 27, so we have three possible equations for x.
16.8 +x/5 = 18
x/5 = 1.2 . . . . . subtract 16.8
x = 6 . . . . . . . . multiply by 5
___
16.8 +x/5 = x
16.8 = 4/5x . . . . subtract x/5
21 = x . . . . . . . . . multiply by 5/4
___
16.8 +x/5 = 27
x/5 = 10.2 . . . . . . subtract 16.8
x = 51 . . . . . . . . . . multiply by 5
___
The sum of the possible values of x is ...
sum = 6 + 21 + 51 = 78
To solve this equation, plug your input value into the function to find your output.
This would leave you with:
f(4)=4+21
Add the two integers together:
f(4)=25
So he output value of that function with he input of 4 would be 25.
As stated in the question
Bethany - x
Amanda - y
the relationships are
Lauren is 13 years older than Bethany
Laurens age = x + 13
David is 11 years older than Amanda
Davids age = y + 11
product of Bethany's and Laurens ages equal to twice Amandas age
x * (x+13) = 2y
x² + 13x = 2y
divide all by 2
x²/2 + 13/2x = y
if they subtract 20 from Bethany and Laurens, then product is equal to Davids age
(x-20)(x+13-20) = y +11
(x-20)(x-7) = y+11
x² -7x -20x+140 = y+11
x² -27x +129 = y
the 2 equations to determine the relationships are
y = x²/2 + 13/2x
y = x² -27x +129
the first option is correct
The answer is C. You can make a rectangle by putting the diagonals through the center anywhere, but if you want a square, you have to put the two diagonals perpendicular to each other and join their ends. See the diagram.