Convert all numbers into fractions:
-29/6
-31/9
Find a common denominator
-87/18
-62/18
Perform the operation
-149/18
Answer: The answer is 260°.
Step-by-step explanation: Given that a Carousel has 30 cars. We need to find the angle of rotation which maps car no. 6 to car no. 19.
Now, the Carousel will make a regular polygon with 30 sides and each car as a vertex.
So, angle of symmetry for the polygon is

Number of sides from car 6 to car 19 = 19 - 6 = 13.
Therefore, the angle of rotation that maps car 6 to car 19 is given by

Thus, the required angle of rotation is 260^\circ.
Answer:
Volume of 3% alcohol = 80 ml
Volume of 8% alcohol = 120 ml
Step-by-step explanation:
Final volume of 6% alcohol solution = 200 ml
Let the volume of 3% alcohol volume = a ml
Therefore, volume of 8% alcohol = (200 - a) ml
Equation for the given situation will be,
3a + 8(200 - a) = 6×200
3a + 1600 - 8a = 1200
1600 - 5a = 1200
5a = 400
a = 80 ml
Therefore, volume of 3% alcohol to be used = 80 ml
And volume of 8% alcohol to be used = (200 - 80) = 120 ml
Answer:
maybe 3...............................
Now, keep in mind that, we'll be using 25mile intervals, notice, that at a cost of 200 bucks, it went for 50 miles, now the charges are just for every 25miles only, so, if you drive 30 miles, you pay for 25miles and if you drive for 49 miles, you still only pay for 25 miles, but because 50/25 is 2 intervals, then if you drive for 50 miles, you're paying for 2 intervals of 25miles, not just one.
now, also let's keep in mind that, when the car was driven for 200 miles, that's 200/25 or 8 25mile intervals, so the 25mile charge kicked in 8 times.
