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kolezko [41]
2 years ago
5

Two cyclists, 80 miles apart, start riding towards each other at the same time. One cycles three times as fast as the other. If

they meet four hours later what is the speed of the faster cyclist?
Mathematics
1 answer:
miv72 [106K]2 years ago
8 0

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

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Sliva [168]

Answer:

89 meters per second.

Step-by-step explanation:

That is quite fast!

First, we are given that in 9 sec our falcon has flown 801 meters, let's write an equation for that:

9s = 801

So in order to get s, we divide each side by 9.

Solve!

s = 801/9

s = 89

Happy learning! Please give a brainliest if you found this helpful

6 0
3 years ago
Figure RST is reflected about the y-axis to obtain figure R’S’T’:
EleoNora [17]

Answer:

B

Step-by-step explanation:

Flipping a graph keeps the figures size the same, so it isn't A. Flipping it doesn't rotate the angles either(R is equal to R', S to S' etc.), so the answer is B.

5 0
2 years ago
Read 2 more answers
What is the domain and range of the function y = 2x2 - 4x - 10?
11111nata11111 [884]

Answer:

Step-by-step explanation:

The domain of all polynomials is all real numbers.  To find the range, let's solve that quadratic for its vertex.  We will do this by completing the square.  To begin, set the quadratic equal to 0 and then move the -10 over by addition. The first rule is that the leading coefficient has to be a 1; ours is a 2 so we factor it out.  That gives us:

2(x^2-2x)=10

The second rule is to take half the linear term, square it, and add it to both sides.  Our linear term is 2 (from the -2x).  Half of 2 is 1, and 1 squared is 1.  So we add 1 into the parenthesis on the left.  BUT we cannot ignore the 2 sitting out front of the parenthesis.  It is a multiplier.  That means that we didn't just add in a 1, we added in a 2 * 1 = 2.  So we add 2 to the right as well, giving us now:

2(x^2-2x+1)=10+2

The reason we complete the square (other than as a means of factoring) is to get a quadratic into vertex form.  Completing the square gives us a perfect square binomial on the left.

x^2-2x+1=(x-1)^2 and on the right we will just add 10 and 2:

2(x-1)^2=12

Now we move the 12 back over by subtracting and set the quadratic back to equal y:

2(x-1)^2-12=y

From this vertex form we can see that the vertex of the parabola sits at (1,-12).  This tells us that the absolute lowest point of the parabola (since it is positive it opens upwards) is -12.  Therefore, the range is R={y|y ≥ -12}

4 0
3 years ago
Describe how math in middle school differs from<br> high school math class?
DaniilM [7]
High school math classes are more advanced than middle school math classes
8 0
3 years ago
Read 2 more answers
3. A savings account has a 3% interest rate. (a) Complete the ratio table shown. Show your work. Deposit ($) 100 50 300 Interest
blsea [12.9K]
We all know, savings account have "Compound Interest"

So, Here, On $100 deposit, amount of Interest = $12

So, for $50, it would be: $6

Then, for $300, it is: $36

b) If you deposit $200, then balance after 1 year, 
A = P(1 + r)^t

A = 200(1 + 0.03)^1

A = 200(1.03)
A = $206

Now, Balance with $150
A = 150 (1 + 0.03)^1
A = 150(1.03)
A = 154.5

Difference = 206 - 154.5 = $51.5

In short, Your Answer would be: $51.5

Hope this helps!

6 0
3 years ago
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