Answer:
3 (x + 5.50) = 111.75; the monthly Internet service is $31.75
Step-by-step explanation:
Let
x = monthly cost of internet service
Each month they received $5.50 as a credit on the bill.
The Schwartz family spent a total of $111.75 for Internet service for 3 months.
Total cost of internet service for three months = 3(x + 5.550)
111.75 = 3(x + 5.50)
111.75 = 3x + 16.50
111.75 - 16.50 = 3x
95.25 = 3x
x = 95.25 / 3
= 31.75
x = $31.75
Answer:
The fraction or percentage of the applicants that we would expect to have a score of 400 or above is 77.34%
Step-by-step explanation:
Scores are normally distributed with a mean of 460 and a standard deviation of 80. For a value x, the associated z-score is computed as 
, therefore, the z-score for 400 is given by 
. To compute the fraction of the applicants that we would expect to have a score of 400 or above, we should compute the probability P(Z > -0.75) = 0.7734, i.e., the fraction or percentage of the applicants that we would expect to have a score of 400 or above is 77.34%
Salutations!
let the number of men be x
2x + x = 24
combine the like terms
The ratio of men is 8
hope I helped (:
have a great day!
The least amount of teams that can be created is either 48 or 49 teams.
Step-by-step explanation:
again, 2 unknowns.
x = number of 2- points baskets
y = number of 3- points baskets
we know they hit the basket 37 times in a so far unknown mixture of 2-point and 3- point throws.
x + y = 37
which gives us e.g.
x = 37 - y
and we know that with this unknown mixture they scored 80 points.
so,
2x + 3y = 80
as every successful 2-points throw scores 2 points, and every successful 3-points throw scores 3 points.
so, again our 2 equations :
x = 37 - y
2x + 3y = 80
remember, we prepared the first equation so that it gives us already an identity expressing one variable by the other. and that we use in the second equation :
2×(37 - y) + 3y = 80
74 - 2y + 3y = 80
74 + y = 80
y = 6
and from
x = 37 - y
we get
x = 37 - 6 = 31
so, they had 31 2-points throws and 6 3-points throws.
