Answer:
Neither of the two advertising options meet the goal.
Step-by-step explanation:
Every $4,000 spent on cable TV will reach 160 fans.
Therefore, the goal of reaching 200000 fans will be fulfilled by
dollars i.e. $5 million which is greater than the budget of $3 million.
Now, every $2,750 spent on radio ads will reach 125 fans.
Therefore, the goal of reaching 200000 fans will be fulfilled by
dollars i.e. $4.5 million which is again greater than the budget of $3 million.
Therefore, neither of the two advertising options meet the goal. (Answer)
The result follows directly from properties of modular arithmetic:
![b\equiv5\pmod{12}\implies 7b\equiv35\equiv-1\equiv\boxed{11}\pmod{12}](https://tex.z-dn.net/?f=b%5Cequiv5%5Cpmod%7B12%7D%5Cimplies%207b%5Cequiv35%5Cequiv-1%5Cequiv%5Cboxed%7B11%7D%5Cpmod%7B12%7D)
That is,
![b\equiv5\pmod{12}](https://tex.z-dn.net/?f=b%5Cequiv5%5Cpmod%7B12%7D)
means we can write
for some integer
. Then
![7b=7(12n+5)=12(7n)+35](https://tex.z-dn.net/?f=7b%3D7%2812n%2B5%29%3D12%287n%29%2B35)
and taken mod 12, the first term goes away, so
![7b\equiv35\pmod{12}](https://tex.z-dn.net/?f=7b%5Cequiv35%5Cpmod%7B12%7D)
etc
Answer:
x=-30
Step-by-step explanation:
25x+15-5x+5=-50
20x+10=-50
20x+10-10=-50-10
2x=-60
x=60/2
x=-30
Hope it helps!
(I tired hard:))
Total trip time: 7 3/4
time spent: 2/3
time left: total time - time spent
= 7 3/4 - 2/3
=31/4 - 2/3
by taking lcm:
= (63-8)/12
= 55/12
= if in decimals: 4.583
= if in mixed numbers: 4 7/12
so the time left is 4 7/12 hours