Answer:
10 < x < 20
Step-by-step explanation:
the sum of any two sides of a triangle has to be greater than the 3rd side, so the maximum value of the third side in this instance is 19.9999999 because 10 + 10 = 20
Given that there are 12 persons, the first choice may be in 12 different ways, the second choice may be in 11 different ways, ther third in 10 different ways, the fourth in 9 different ways and the fith in 8 different ways, for a total of:
12x11x10x9x8 different combinations.
Now you have to take in account that 5x4x3x2 are repetitions. So you have to divide the previos counting by 5x4x3x2.
(12x11x10x9x8)/(5x4x3x2) = 792 different subcommittees.
Also, you can use the formula for combinations: C(m,n) = m! / (n! (m-n)!)
C (12, 5) = 12! / (5!) (12-5)! = [12x11x10x9x8x7!] / [5! 7!] = [12x11x10x9x8]/[5x4x3x2] = 792
Answer: sally initially has $240, Tom initially has $180.
Step-by-step explanation:
Let initial amount of money sally has = x
Then, initial amount tom has = 75% * x = 0.75x
Now to present,
Amount sally has = x -120
Amount tom has = [x - 120] + [50% * (x-120)]
= x - 120 + 0.5x - 180
= 1.5x - 180
Since Tom didn't spend, it means this is the same amount tom has then we equate both equations.
0.75x = 1.5x - 180
180 = 0.75x
x = 240
Therefore, initial money of sally of sally = $240
Initial money of tom = 240 * 0.75 = $180.
Answer:
A
Step-by-step explanation:
Real numbers help us to count and to measure out quantities of different items. So for instance when you ask your partner how many slices of toast he or she wants for breakfast, you are using real numbers when they reply with their answer.
