Answer:
Option 3 - 4 miles
Step-by-step explanation:
Given : In a city, the distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station. The distance between the library and the police station is 5 miles.
To find : How far apart are the police station and the fire station?
Solution :
Let the distance between police station and fire station be 'x'.
The distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station.
i.e. ![2x-3](https://tex.z-dn.net/?f=2x-3)
The distance between the library and the police station is 5 miles.
i.e. ![2x-3=5](https://tex.z-dn.net/?f=2x-3%3D5)
![2x=5+3](https://tex.z-dn.net/?f=2x%3D5%2B3)
![2x=8](https://tex.z-dn.net/?f=2x%3D8)
![x=4](https://tex.z-dn.net/?f=x%3D4)
Therefore, The police and fire stations is 4 miles apart.
So, Option 3 is correct.
It’s a nightmare question
1/27
It’s the same as (1/3)(1/3)(1/3)
Let f(x) = ax³ + 9x² + 4x – 10
g(x) = 0⇒x - 3 = 0
⇒ x = 0 + 3
⇒ x = 3
On dividing f(x) by x - 3, it leaves a remainder 5.
Now keeping, f(3) = 5
⇒a(3)³ + 9(3)² + 4(3) - 10 = 5
⇒ a × 27 + 9 × 9 + 4 × 3 - 10 = 5
⇒ 27a + 81 + 12 - 10 = 5
⇒ 81 + 12 - 10 - 5 = 27a
⇒ 81 + 12 - 15 = 27a
⇒ 93 - 15 = 27a
⇒ 78 = 27a
⇒ a = 27/78
⇒ a = 0.3461
Answer:
150
Step-by-step explanation:
set up a equation-
4/5=120/x
x= people buying peanut butter.
120/4=30
30 x 5=150