Answer:
The speed of the faster cyclist is 15 miles per hour
Step-by-step explanation:
Let the speed of the slower cyclist be x miles per hour
The speed of the faster is 3 times this
Mathematically, we have this as 3 * x miles per hour = 3x miles per hour
Now;
distance = speed * time
In 4 hours, the distance covered by the slower will be;
x * 4 = 4x miles
The faster;
3x * 4 = 12x miles
Since they are riding opposite each other, they would have covered a total distance of 80 miles when they meet
Thus, we have that;
12x + 4x = 80
16x = 80
x = 80/16
x = 5
The speed of the faster is;
3x miles per hour
Substitute the value of x here
That will be;
3 * 5 = 15 miles per hour
Answer:
a - 50/100
b - 9/4
c - 27/8
Step-by-step explanation:
Scale: 50/100
Ratio: 36/16 = 18/8 = 9/4
Ratio: 216/64 = 108/32 = 54/16 = 27/8
Answer:
-4
Step-by-step explanation:
So since x=5 and y= 1 the new expression would be 1(5-7) to the second power. Using pemdas, 5-7 is -2. -2 to the second power is -4. negative 4 times 1 is negative 4.
Answer:

Step-by-step explanation:

Calculate the derivative of the function:

Calculate the zeros of the derivative:

Let's check the derivative sign:

Sketch a parabola open down
(before the brackets there is the number -3 < 0)
Look at the picture.
Where the derivative is negative, the function decreases.
Where the derivative is positive, the function increases.
Therefore your answer is:

First you do 16/4
Which is 4
And then you do that times 2
4*2 equals 8
The answer is 8