Answer:
37.5 miles per hour
Step-by-step explanation:
The traffic along a stretch road moves at an average speed that carried inversely as the number of cars
Average speed= k/number of cars.
When there are 1,500 cars the average speed is 45
The first step is to calculate the constant k
45= k/1500
k = 1,500 × 45
k= 67,500
Therefore the average speed when there are 1,800 cars can be calculated as follows
Average speed= 67,500/1,800
= 37.5 miles per hour
Hence the average speed is 37.5 moles per hour
= 1455
generate a few terms of the sequence using 
= 3n + 2
= ( 3 × 1) + 2 = 5
= (3 × 2) + 2 = 8
= (3 × 3 ) + 2 = 11
= (3 × 4 ) + 2 = 14
= ( 3 × 5 ) + 2 = 17
the terms are 5, 8, 11, 14, 17
these are the terms of an arithmetic sequence
sum to n terms is calculated using 
= 
[ 2a + (n-1)d]
where a is the first term and d the common difference
d = 8 - 5 = 11 - 8 = 14 - 11 = 3 and = 5
= 
[( 2 × 5) + (29 × 3) ]
= 15( 10 + 87) = 15 × 97 = 1455
38.98 because you get 15.59 and divide that by 40% you get 38.975 but since you're speaking in money it rounds to 38.98
Answer: x/3 ==> C
Step-by-step explanation:
(2x/3)^1/2 * (x/6)^1/2=
(2x/3 * x/6)^1/2=
(2x^2/18)^1/2=
(2x^2)^1/2 / 18^1/2=
(2x^2)^1/2 / (2*9)^1/2=
(2x^2)^1/2 / 3*2^1/2=
2^1/2 * (2x^2)^1/2 / 3*2=
(2(2x^2))^1/2 / 6=
(4x^2)^1/2 / 6=
4^1/2 * (x^2)^1/2 / 6=
2x/6=x/3 ==> C
