George has $15. He tries to buy a movie ticket ($9.00), a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each) but
2 answers:
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Here i hope this helps you with the problem
Answer:
Step-by-step explanation:
With this word problem, we can model it into an equation which we can interpret to find values.
If we need to read 5 novels per month and n represents the amount of novels read in m months, we know that n will be the dependent variable (y) as it's a direct function of the number of months. This makes m the independent variable (x).
Since there are 5 novels a month, the equation will be 5 times the number of months equals the number of novels per month.
aka -
We can now substitute inside the equation with 11 months as m, and find the value of n.
Hope this helped!
Answer:
More than 50
Step-by-step explanation:
To solve, we need to first see that the function is h(n). Picking main points from the question statement:
- h(n) is the product of all even integers (From 2 to n)
- p is the smallest factor of h(100)+1
- h(100)+1 , here n=100
From here, we can write h(100) as:
h(100) =
h(100) = =
so,
h(100)+1 =
Now two numbers,
h(100) and h(100)+1 are consecutive integers and since they are consecutive so they are co-prime. Hence they only have common factor of 1. Example, 13 and 14 have only common factor of 1
As h(100) has all prime numbers from 1 to 50 and according to above statement h(100)+1 won't have any prime factor from 1 to 50, so the smallest prime factor p is greater than 50.