1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ivolga24 [154]
3 years ago
11

Traveling with the wind, Jerry takes 10 minutes to bicycle to a local library 2.5 km away. Coming back against the wind, it take

s him 15 minutes. What is Jerry's bicycling speed in still air?
Mathematics
1 answer:
olganol [36]3 years ago
7 0

7.5 km/h

Step-by-step explanation:

Let's assign the speed of Jerry in still air as <em>x </em> (in km/h)

Let's assign the speed of the wind as <em>y </em>(in km/h)

With the wind as Jerry’s back, he takes 10 minutes to get to the library. We can create the following equation. (<em>we are converting the minutes to hours by dividing by 60</em>);

2.5 / (x + y) = 10/60

10x + 10y = 150

x + y = 15

With the wind against Jerry, he takes 15 minutes from the library. We can create the following equation;

2.5 / (x-y) = 15/60

15x – 15y = 150

x – y = 10

We can now solve the simultaneous equation by subtraction;

x + y = 15

x – y = 10

2y = 5

y = 5/2 = 2.5

y = 2.5 km/h

x = 7.5 km/h

Learn More:

brainly.com/question/8046928

#LearnWithBrainly

You might be interested in
I really need help tyy
emmainna [20.7K]
Find the greatest common factor (gcf) in each grade between the girls and boys
in 6th grade the gcf is 8
64/8=8  72/8=9
the largest number of groups that can be made equally would be 8 groups of 8 girls and 8 boys
Hope this helps!!
6 0
3 years ago
An isosceles triangle with equal sides of 5 inches and a base of 6 inches is inscribed in a circle. What is the radius, in inche
nikklg [1K]
Wow this is a doozy! First you have to figure out what is it you are looking for? If you make a dot in the center of the triangle (which is also the center of the circle) and draw a line from the center to one of the vertices of the triangle you have the radius of the triangle and also of the circle. If you draw all 3 radii from the triangle's center to its vertices, you see you have created 3 triangles within that one triangle.  The trick here is to figure out what your triangle measures are as far as angles go.  If we take the interior measures of those 3 triangles, we get that each one has a measure of 120 (360/3=120). So that's one of your angles, the one across from the side measuring 6. Because of the Isosceles Triangle theorem, we know that the 2 base angles have the same measure because the sides are the same. Subtracting 120 from 180 gives you 60 which, divided in half, makes each of those remaining angles measure 30 degrees. So if we extract that one triangle from the big one, we have a triangle with angles that measure 30-30-120, with the base measuring 6 and each of the other sides measuring 5. If we then split that triangle into 2 right triangles, we have one right triangle with measures 30-60-90. Dropping that altitude to create 2 right triangles not only split the 120 degree angle at the top in half, it also split the base side of 6 in half. So our right triangle has a base of 3 and we are looking for the hypotenuse of that right triangle.  WE have to use right triangle trig for that. Since we have the top angle of 60 and the base of 3, we can use sin60=3/x.  Solving for x we have x=3/sin60 which gives us an x value of 3.5 inches rounded from 3.464. I'm not sure what you mean by a mixed number unless you mean a decimal, but that's the radius of that circle.
6 0
3 years ago
Lines C and d are perpendicular. If the slope of line c is -4, what is the slope of line d?
CaHeK987 [17]
The slope of line D is also -4 because the lines are perpendicular.
6 0
3 years ago
Which table of values represents the equation y = 1/2x?​
gtnhenbr [62]

Answer:

The third option choice

Step-by-step explanation:

In the equation all your doing is halfing the x to get y

Or multiplying it by . 5

So half of what your x is is what your y is

4 0
3 years ago
What is 3/4 as a percentage
luda_lava [24]

Answer:

75%

Step-by-step explanation:

A percent is a value out of 100.

Change the fraction \frac{3}{4} to an equivalent fraction with the denominator equal to 100.

\frac{3}{4} × \frac{25}{25} = \frac{75}{100}

This fraction represents a percent.

\frac{75}{100} = 75%

5 0
3 years ago
Other questions:
  • HELP!!!!!!!!!!!!!!!!!!! ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!
    10·1 answer
  • K(n) = 4n+5<br><br> Find k(-3n)
    15·1 answer
  • What is 88/25 simplified
    15·2 answers
  • The vertices of ΔRST are R(–1,–1), S(–1,11) and T(4,11). Which could be the side lengths of a triangle that is similar but not c
    14·1 answer
  • a certain drug is made from only two ingredients compound a and compound be there are 5 ml of compound a used for every form a c
    15·1 answer
  • N+4<br> ——- -3=13 Solve <br> 2 Pls help
    5·1 answer
  • Find an example of an inequality used in the real world and describe it using a number line.
    5·1 answer
  • Explain how the model represents 5/ 1third
    13·1 answer
  • PLEASE HELP!!
    5·1 answer
  • The phases in algebra are
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!