If the equal is 55x + 35y = 200

x: time-driven at 55 miles/hour

y: time-driven at 35 miles/hour

If the car spends 2.5 hours at 35 miles per hour, then it drove:

55x + 35(2.5) = 200

55x =35

y = 112.5

There the drive spent about 2.5-hour driving at 55 mph.

Hope it helps!

According to me the probability is 1/4, because there are 4 possible outcomes when two coins are flipped - TT, TH, HT, HH.

<span>Also, would it matter if the coins are flipped one after other rather than together</span>

Hey there! I'm happy to help!

Let's think of this angle being put inside of a unit circle (a circle with a radius of one). This angle is going to stay inside the first quadrant, so all of its trigonometric ratios will be positive.

We are given that the sin of x is 1/5. To get the x by itself, we can just find the inverse sine of both sides to isolate the x.

x=sin(1/5)

x≈ 11.536959

2x≈ 23.073918

Now, we just cosine this value.

**cos2x≈ 0.92**

I hope that this helps! Have a wonderful day!