6 batteries cost $7.50 because u divide 10 by 8 and then multiply by 6
Answer:
125
Step-by-step explanation:
Answer:
a. 3(mod 23)
bi d=31 (mod 72)
ii c = 4
iii m = 4
Step-by-step explanation:
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Answer:
13.99p + 4.49s ≤ 80
Step-by-step explanation:
Pizza is p and soda is s. If he has only $80 to spend on a combination of both, he cannot obviously spend more than that. Therefore, the inequality sign is "less than or equal to". He can spend 80, but he can also spend less than 80. He cannot spend anything over that, since he doesn't have it to spend!
If pizzas are represented by p, and we know the cost of each one is 13.99, we represent one pizza as 13.99p; if the cost of sida is 4.49 per case, we represent one case as 4.49s.
The sum of these cannot exceed 80, so the inequality, then, is:
13.99p + 4.49s ≤ 80
If 
is a number that is both divisible by 4 and 5, then
4 and 5 are coprime, so we can use the Chinese remainder theorem to solve this system and find that 
is a solution to the system, where 
is any integer. Simply put, any multiple of 20 fits the bill.
Now, there are 11 numbers between 100 and 300 that are divisible by 20 (100, 120, 140, and so on). We have 
when 
, so the sum we want to compute is
