Answer:
131.3 miles
Step-by-step explanation:
The two cars are moving from different directions. The total distance between the two cars = 118 miles + 256 miles = 374 miles.
Let us assume that the two cars meet at point O, let the distance between car c and O be d₁, the distance between car d and point O be d₂, hence:
d₁ + d₂ = 374 miles (1)
Let speed of car d be x mph, therefore speed of car c = 2x mph (twice of car d). If it take the cars t hours to meet at the same point, hence
For car c:
2x = d₁/t
t = d₁ / 2x
For car d;
x = d₂/t
t = d₂/ x
Since it takes both cars the same time to meet at the same point, therefore:
d₁/2x = d₂ / x
d₁ = 2d₂
d₁ - 2d₂ = 0 (2)
Solving equation 1 and 2 simultaneously gives d₁ = 249.3 miles, d₂ = 124.7 miles
Therefore the distance from point of meet to Boston = 249.3 - 118 = 131.3 miles
Answer:
x=510
Step-by-step explanation:
You can first combine like terms to get x/17=30
The inverse operation of division is multiplication so you can multiply by 17 on both sides to get your final answer: x=510
You would have to choose a graph with all x coordinates equaling less than negative 3
your answer would have to be to have all x coordinates to the left of -3 on the x axis
your answer is A :)
Answer:
±2 sqrt(3) =x
Step-by-step explanation:
12 - x^2 = 0
Add x^2 to each side
12 - x^2 + x^2 = x^2
12 = x^2
Take the square root of each side
±sqrt(12) = sqrt(x^2)
±sqrt(4*3) = sqrt(x^2)
±sqrt(4) sqrt(3) = x
±2 sqrt(3) =x
Answer:
The number of ways is 
Step-by-step explanation:
From the question we are told that
The number of tickets are 
The number of finalist are 
Generally the number of way by which this winners can be drawn and arrange in the order of
is mathematically represented as

substituting values


