Hi,
Essentially, we are saying that Alyssa gets 5 parts of the whole thing (140,000), Bart gets 3 parts of the whole and Meghan gets 2 parts of the whole. The sum total of their parts = the whole. So now we need to find out how much one part is. Thus,"one part" should be the variable. Substitute p for "one part", so Alyssa gets 5p, Bart gets 3p, and Meghan gets 2p. Since the sum of the parts = the whole, your problem sets up as: 5p + 3p + 2p = 140,000 --> 10p = 140,000 --> 10p/10 = 140,000/10 --> x = 14,000.
Alyssa gets 5p or (5 x 14,000)
Bart gets 3p or (3 x 14,000)
Meghan gets 2p or (2 x 14,000)
If the whole was a loss, it would be a negative, and instead of getting money, they would lose money.
There are 10 seniors in the class, from which 4 should be chosen by the teacher. The order of the chosen students does not matter. This means that we speak of combinations. THe equation for calculating the number of possible combinations is:
C=N!/R!(N-R), where N is the total number of objects and R is the number of objects we select from the N
In our case, N=10, R=4.
C= 10!/4!*6!=10*9*8*7*6!/6!*4*3*2*1=<span>10*9*8*7/24=5040/24=210
There are 210 different ways for the teacher to choose 4 seniors in no particular order.</span>
Answer:
(c) is m=1 i am working on the other ones
is the inequality that describes this problem
<h3><u>Solution:</u></h3>
Given that Travis can spend no more than $125.75 every month
To find: linear inequality that describes the problem
Let the amount spent on movies = x dollars
Given that Travis decided to spend 4.3 times as much money on video games as he spends on movies
Amount spent on video games = 4.3 (amount spent on movies)
Amount spent on video games = 4.3x
Travis can spend no more than $125.75. That is, he can spend less than or equal to $125.75
<em><u>Thus, the inequality representing the situation is:</u></em>
Thus the required inequality is found
