Answer:
6 stations
Step-by-step explanation:
Find the GCD of 24 and 18 in order to get the greatest number of stations
GCD is 6
Hello! To solve this problem, we can write and solve an equation. Set it up like this:
6 + 3m = 24
This is because 6 is the one-time fixed price and you pay $3 per mile. Subtract 6 from both sides in order to get 3m = 18. Now, divide each side by 3 to isolate the “m”. 18/3 is 6. There. m = 6. Mike traveled 6 miles by taxi.
<span>Simplifying
7 + -2(2 + 3x) = 27
7 + (2 * -2 + 3x * -2) = 27
7 + (-4 + -6x) = 27
Combine like terms: 7 + -4 = 3
3 + -6x = 27
Solving
3 + -6x = 27
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + -6x = 27 + -3
Combine like terms: 3 + -3 = 0
0 + -6x = 27 + -3
-6x = 27 + -3
Combine like terms: 27 + -3 = 24
-6x = 24
Divide each side by '-6'.
x = -4
Simplifying
x = -4</span>
The speed to the island is x. The speed to return is x+5.
The distance is the same so, 2.5 multiplied by x = 2×(x+5).
It took 2.5 hrs to get there and 2 hrs to return. Now all we have to do is solve.
2.5*x = 2x + 10
.5x = 10
x=20
Therefore, the distance between islands is 2.5 × 20 = 50 miles.
hope this helps!
Answer:
A=50 B=40 C=90
Step-by-step explanation:
B is a right angle so its automatically 90 degrees since A=50 and a triangle has to be 180 degrees 90+50= 140, 180-140=40.