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
Kaylis [27]
2 years ago
14

Masha biked 20km 20 minutes faster than Dasha biked 20km. Find the speed of each cyclist if one biked 2km/h faster than the othe

r.
Mathematics
1 answer:
motikmotik2 years ago
3 0

Answer:

  • 12 km/h and 10 km/h

Step-by-step explanation:

Let the speed of Masha = s, speed of Dasha = d

  • Distance = 20 km
  • Time difference = 20 min = 1/3 hr
  • Speed difference  = 2 km/h

<u>As per above info we get following equations:</u>

  • s = d + 2
  • 20/s + 1/3 = 20/d

<u>Substitute s and solve for d:</u>

  • 20/(d + 2) + 1/3 = 20/d

<u>Get rid of fraction by multiplying all terms by 3d(d + 2):</u>

  • 60d + d(d + 2) = 60(d + 2)
  • 60d + d² + 2d = 60d + 120
  • d² + 2d = 120
  • d² + 2d + 1 = 121
  • (d + 1)² = 11²
  • d + 1 = 11
  • d = 10

<u>Find s:</u>

  • s = 10 + 2 = 12

<u>The answer is</u>

  • Masha's speed 12 km/h and Dasha's speed 10 km/h
You might be interested in
Which description does NOT guarantee that a trapezoid is isosceles?
babunello [35]

A trapezoid is isosceles if and only if

(1) The base angles are congruent

(2) The diagonals are congruent

(3) The opposite angles are supplementary

So the description does not guarantee that a trapezoid is isoceles for "Congruent bases".

3 0
3 years ago
In a class, 60% of the students are girls. There are 18 girls in the class.
N76 [4]

Answer:

The answer is 30

Step-by-step explanation:

If you were to do 50% of 30, it would be 15 students that are girls. There's 18 students that are girls though, so the extra 10% would make 18 students in the class girls. The remaining 40% would be 12 boys. So basically you're taking 10% from one side and putting it in the other because 50% of 30 is 15 (well this is at least how I would do it, I don't know how others would do it though)

5 0
2 years ago
HElPP<br> what is 232 if it's scaled down by a factor of 1/10
Lynna [10]

Answer:

23.2

Step-by-step explanation:

Scaling down by a factor of 1/10 is equal to dividing the number by 10.

So 232 getting scaled down by a factor of 1/10 is equivalent to 232/10 i.e. 23.2.

3 0
2 years ago
What is 10 (x - 1.7) = -3
olya-2409 [2.1K]
<h2>10=)21 I know it is right </h2>
8 0
2 years ago
Read 2 more answers
PLEASE HELP!!! And please SHOW YOUR WORK! *grade 9 work*
PIT_PIT [208]

Answer:

4028.5

Step-by-step explanation:

V=4000+4.75 (6)

V= 4000+28.5

V=4028.5

Please Vote Brainliest!

8 0
2 years ago
Read 2 more answers
Other questions:
  • Kimi measured a city and made a scale drawing. The scale of the drawing was 6 inches = 2 yards. What scale factor does the drawi
    14·1 answer
  • Need help can someone help me with this question
    11·1 answer
  • Which could the coordinates of the vertices of the following isosceles trapezoid centered in the origin, with base 2a and OR=c?
    12·1 answer
  • What is the value of x in this expression:<br> 4 + 1/4x + 3 = 10
    15·1 answer
  • For wages less than the maximum taxable wage base, Social Security contributions (including those for Medicare) by employees are
    10·1 answer
  • Find the inclination of the line x - 3y = 9 to the nearest degree
    12·1 answer
  • Which is a better statistical question A:how many points per game did your team score? B:how many games did your team play this
    9·2 answers
  • For which equation is y = 7 a solution?
    7·2 answers
  • Given f(x) = x3 - x2 + 4x - 1 and<br> g(x) = -2x, find lim g(f(x))<br> X-2
    15·1 answer
  • The linear regression line for Tampa Tribune Database is y=8x+367. In approximately what year is the Tampa Tribune expecting to
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!