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
Grace [21]
2 years ago
6

A car and a motorcycle leave the city at the same time and drive to a lake that is 120 km away. The speed of the motorcycle is 2

0 km per hour greater than the speed of the car, so the motorcycle arrives at the lake 1 hour before the car. Find the speed of the car and the speed of the motorcycle. Plz answer fast!!
Mathematics
2 answers:
Firlakuza [10]2 years ago
5 0

Answer:

Speed of the car is 40 km/h

Speed of the motorcycle is 60 km/h

iris [78.8K]2 years ago
3 0

Answer:

  • 40 km/h and 60 km/h

Step-by-step explanation:

Let the speed of the car is x, then the speed of motorcycle is x + 20

The distance = 120 km

<u>Time:</u>

  • 120/x = 120/(x + 20) + 1
  • 120(x + 20) = 120x + x(x +20)
  • 120x + 2400 = 120x + x² + 20x
  • x² + 20x = 2400
  • x² + 2*10x + 10² = 2500
  • (x + 10)² = 50²
  • x  + 10 = 50
  • x = 40

Speed of the car is 40 km/h

Speed of the motorcycle is 60 km/h

You might be interested in
If a car traveled 110.5 miles in two hours, how far did it travel in one hour?
Paul [167]

Answer: 55.25

Step-by-step explanation:

Divide 110.5 by 2 which give you 55.25

So in every hour the car travels at 55.25 miles per hour

8 0
3 years ago
Two ships leave from the same port. One travels west 84 miles and the other travels 62 miles north. Determine the distance betwe
Lerok [7]
The distance the ships traveled are like the legs of a triangle and the question wants to know the hypotenuse. To find the hypotenuse, use the pythagorean theorem. this is a^2 + b^2 = c^2, with a and b being the legs and c being the <span>hypotenuse.
</span>Plug in known values:
84^2 + 62^2 = c^2
Solve:
84^2 = 7056
62^2 = 3844
7056 + 3844 = c^2
7056 + 3844 = 10900
10900 = c^2
Now you just need to isolate c by finding the square root of both sides.
√10900 = 104.403
√c^2 = c

So c = 104.403, or just 104.40 when rounded to the nearest tenth.
And if c is 104.40, then that means the hypotenuse is 104.40.
And all of that basically means that the distance between the ships is 104.40 miles.
5 0
3 years ago
Write the equation of the line in fully simplified slope-intercept form.
fiasKO [112]

y = -\frac{1}{2}x - 1

Step-by-step explanation:

Let's pick two points on the line: P_1(-4, 1) and P_2(2, -2). Let's calculate the slope of this line using these points:

m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-2 - 1}{2 - (-4)} = -\dfrac{1}{2}

With this value of the slope, we can write the general slope-intercept form of the equation as

y = -\frac{1}{2}x + b

To solve for the y-intercept b, let's use either P1 or P2. I'm going to use P2:

-2 = -\frac{1}{2}(2) + b \Rightarrow b = -1

Therefore, the slope-intercept form of the equation is

y = -\frac{1}{2}x - 1

6 0
2 years ago
Tommy bought one dozen donuts. He gave one-sixth of the donuts to his wife. He then gave one-fifth of the remaining donuts to hi
statuscvo [17]

Answer:

8

Step-by-step explanation:

1/6 of 12 is 2

12 - 2 = 10

1/5 of 10 is also 2

10 - 2 = 8

Tommy took 8 donuts to work.

6 0
2 years ago
On a coordinate plane, how are the locations of the points (1 , -7) and (1 , 7) related?
yan [13]

Answer:

D. Reflection across x-axis

Step-by-step explanation:

When plotting the two points & then connecting the dots, it will not touch y-axis at all - it will be straight line and cross x axis

3 0
2 years ago
Other questions:
  • According to this equation, what is the value of x at t=0? express your answer in terms of the variables a, b, m, and k.
    8·1 answer
  • What is the gradient of the line 2y-8x =6
    14·2 answers
  • Find the area of this composite figure use 3.14 for pi
    13·1 answer
  • What’s the answer I’m confused
    14·1 answer
  • A multivitamin tablet contains 0.13g of vitamin C. How much vitamin C does a bottle of 20 tablets contain? Write your answer in
    9·1 answer
  • Please answer correctly !!!!!!!!!!! Will Mark Brianliest !!!!!!!!!!! Explain well !!!!!!!!!!!!!
    15·2 answers
  • Given the values of the linear functions f (x) and g(x) in the tables, where is (f – g)(x) positive?
    11·1 answer
  • -54/87 simplified to a fraction
    7·1 answer
  • Every morning Jessica drinks one fifth of a quart of orange juice how many mornings would Jaze have oranges for if she only has
    9·1 answer
  • Tony has $727.29 in his checking account. He must maintain a $500 balance to avoid a fee. He wrote a check for $248.50 today. Wr
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!