Answer:
4 mi/h
Step-by-step explanation:
The distance between the cyclists is the hypotenuse of an isosceles right triangle. The hypotenuse is √2 times the length of the legs in such a triangle, so each cyclist must have ridden 8 miles in 2 hours.
Their speed is (8 mi)/(2 h) = 4 mi/h.
_____
<em>Additional comment</em>
Consider an isosceles right triangle with leg lengths 1. Then the Pythagorean theorem tells us the length of the hypotenuse is ...
c² = a² +b² . . . square of hypotenuse is sum of squares of legs
c² = 1² +1² . . . . both legs are 1 in our example triangle
c² = 2
c = √2
That is, the hypotenuse is √2 times the leg length.
<span>4.5 g
56.25 g
Since the only type of measurement mentioned in this question is weight or mass, I'll assume that the percentage concentration is % m/m (mass/mass). For that type of concentration measurement, simply multiple the percentage by the total mass to get the mass of the desired substance. So
150 g * 3% = 150 g * 0.03 = 4.5g
For the amount of 8% solution with the same amount of dry substance, there's 2 ways of calculating the mass of solution.
First, use the ratio of percentages, multiplied by the mass of the original solution to get the desired amount of new solution:
3/8 * 150 g = 56.35 g
Or calculate it from scratch, like
4.5/X = 8/100
450/X = 8
450 = 8X
56.25 = X
In both cases, the result is that you desire 56.25 grams of 8% solution.</span>
Answer:
x÷14
Step-by-step explanation:
easy dude easy this needs to be 20 characters long
Answer:
Xin has hiked 2.65 miles of the trial.
Step-by-step explanation:
Given:
Distance of the trial hike = 2650 miles
portion of the trial Xin hikes = 
of the trial.
We need find the distance she hiked.
Solution:
Now we can say that;
distance Xin hiked is equal to Distance of the trial hike multiplied by portion of the trial Xin hikes.
framing in equation form we get;
Distance Xin hike = 
Hence Xin has hiked 2.65 miles of the trial.
Because 28 is divisible by 4 ( because 28÷4=7), we have 4/9 = 28/63;
The correct answer is 28.
