answer
the number of buses is 3
the number of cars is 6
Step-by-step explanation:
total number of the students=165
total number of the vehicles=9
let x represent the number of cars
let y represent the number of buses
x+y=9...........equation 1
(the number of the cars plus the number of the buses= to the number of vehicles )
5x + 45y=165.......equation 2
(the number of student the car can hold plus the number of student the bus can hold= to the total number of the student in a class)
x+y=9.......eqn 1
5x +45y=165....eqn 2
make x the subject of the formula in eqn 1
x+y=9
x= 9-y
substitute for x= 9-y in eqn 2
5(9-y)+45y=165
45-5y+45y=165
-5y+45y=165-45
40y=120
divide both sides by 40
40y÷40=120÷40
y=3
since y represent number of buses,the numbet of bus is 3
Also,substitute for y=3 in eqn 1
eqn 1 is x+y=9
x+3=9
x=9-3
x=6
therefore,the number of cars is 6.
The population of the moose after 12 years is 7692
Step-by-step explanation:
The form of the exponential growth function is 
, where
- a is the initial value
- b is the growth factor
The table:
→ x : y
→ 0 : 40
→ 1 : 62
→ 2 : 96
→ 3 : 149
→ 4 : 231
To find the value of a , b in the equation use the data in the table
∵ At x = 0 , y = 40
- Substitute them in the form of the equation above
∵ 
- Remember any number to the power of zero is 1 (except 0)
∴ 40 = a(1)
∴ a = 40
- Substitute the value of a in the equation
∴ 
∵ At x = 1 , y = 62
- Substitute them in the form of the equation above
∵ 
∴ 62 = 40 b
- Divide both sides by 40
∴ 1.55 ≅ b
∴ The growth factor is about 1.55
- Substitute its value in the equation
∴ The equation of the population is 
To find the population of moose after 12 years substitute x by 12 in the equation
∵ 
∴ y ≅ 7692
The population of the moose after 12 years is 7692
Learn more:
You can learn more about the logarithmic functions in brainly.com/question/11921476
#LearnwithBrainly
Answer:
You must be crazy if you think you're ugly
Step-by-step explanation:
you have good genetics therefore, you are not ugly
Answer:
10d
Step-by-step explanation:
5d on 1 side, double it to get 10d cuz from Point O to Point D, y increases from 0 to 5d and since the triangles are congruent, we can add another 5d (or in total 10d).
22 increases by 0.9
24 increases by 4 and 1/2
25 increases by 4.3
Just subtract the number from the number after it to find how to find the next numbers in the sequence
