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
marshall27 [118]
2 years ago
8

The Oregon Trail is 2,197 miles long. How long would it take a covered wagon traveling 20 miles a day to complete the trip? Writ

e the answer as a mixed number.
Mathematics
2 answers:
Valentin [98]2 years ago
7 0
It would take 109 17/20 of a day
Svetlanka [38]2 years ago
5 0

Answer:

109 17/20

Step-by-step explanation:

The distance is given as 2197 miles long at a speed of 20 miles per day. Speed is defined as distance over time:

V=d/t

We can calculate t because we have V and d:

20=2197/t

t=2197/20[tex][tex]t=109.85

109.85 in a mixed number is 109 85/100. We can divide the fraction by 5 we get 109 17/10.

You might be interested in
Sean tossed a coin off a bridge into the stream below. The path of the coin can be represented by the equation 2 h tt = − 16t^2+
tekilochka [14]

Answer:

It will take 5.61 seconds for the coin to reach the stream.

Step-by-step explanation:

The height of the coin, after t seconds, is given by the following equation:

h(t) = -16t^{2} + 72t + 100

How long will it take the coin to reach the stream?

The stream is the ground level.

So the coin reaches the stream when h(t) = 0.

h(t) = -16t^{2} + 72t + 100

-16t^{2} + 72t + 100 = 0

Multiplying by (-1)

16t^{2} - 72t - 100 = 0

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

In this question:

16t^{2} - 72t - 100 = 0

So

a = 16, b = -72, c = -100

\bigtriangleup = (-72)^{2} - 4*16*(-100) = 11584

t_{1} = \frac{-(-72) + \sqrt{11584}}{2*16} = 5.61

t_{2} = \frac{-(-72) - \sqrt{11584}}{2*16} = -1.11

Time is a positive measure, so we take the positive value.

It will take 5.61 seconds for the coin to reach the stream.

3 0
3 years ago
The function f(x) is graphed on the coordinate plane.
soldier1979 [14.2K]

Answer:

f(-4) = 4

Step-by-step explanation:

Fro the graph attached,

We have to calculate the value of the function at x = -4.

As we can find from the graph at the input value x = -4, output value of the function is f(-4) = 4

Therefore, f(-4) = 4 will be the answer.

5 0
2 years ago
Jonas is planning out his route for an upcoming race. He uses negative numbers to represent points before
olya-2409 [2.1K]

Answer:

The finish line​

Step-by-step explanation:

Jonas is planning his trip using the finish line as reference point. He is using an interval scale (using meters as measurement) and the finish line = 0 meters or the starting point. Anything before the finish is negative and anything after is positive. In this case, his wife is located at 91 + 14 = 105 meters away from him. When you use an interval scale to measure distance, you must use absolute values to determine the distance because positive and negative points.  

6 0
3 years ago
What is the result of 0.378 divided 100?<br> 0.00378<br> 0.0378<br> 3.78<br> 37.8
Alika [10]
The answer is 0.00378
3 0
3 years ago
Read 2 more answers
Which expressions are equivalent to -6+4q+(-6q)
enot [183]

Answer:

c

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Other questions:
  • Find the area of a rectangle with a length of 6cm and a width of 14cm. A=lw
    14·1 answer
  • If the velocity of a car 45km/h Wes how far can it travel in 0.5 hours
    11·2 answers
  • Which is equivalent to ? please wait till i add my picture
    14·1 answer
  • A (- x, y - 3)
    14·1 answer
  • What is the domain, range, and asymptote line of y=2^x-3
    15·1 answer
  • I need help...........
    8·1 answer
  • A map has a scale of 1 inch = 6 miles. How many miles are 3 inches
    6·1 answer
  • Algebra 2 <br> If you can explain it would help so much
    15·1 answer
  • If 2 inches are equivalent to 5 centimeters, how many square centimeters are in one square inch
    10·1 answer
  • In questions 6 – 9, state the solutions for the quadratic equation depicted in the graph.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!