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
alekssr [168]
3 years ago
14

Two train stations are 50 miles apart. At noon, a train starts out from each station heading for each other. Just as they pull o

ut, a hawk flies into the air in front of the first train and flies ahead to the front of the second train. When the hawk reaches the second train, it turns around and flies toward the first train. The hawk continues this way until the trains meet. Assume that both trains travel at 25 mph and the hawk flies at a constant speed of 100 mph. How many miles will the hawk have flown when the trains meet?
Mathematics
1 answer:
Daniel [21]3 years ago
3 0

Answer: 100 miles

Step-by-step explanation: How much time does the bird spend in flight? If you represent the problem in terms of the amount of time the bird is flying, then a solution is fairly straightforward. The two trains are 50 miles apart, and are approaching each other at a relative speed of 50 mph (25 + 25), so it will take one hour for them to meet. If the bird spends one hour flying at 100 mph, then it will traverse 100 miles before the trains meet.

You might be interested in
Bharat has two identical ink pens with full ink. He used 3/4th of the ink from the first pen and 2/3rd of the ink from the secon
Leno4ka [110]

Answer:

0.58333333333 Or 0.58333333333/100000000000

Step-by-step explanation:

3 0
2 years ago
Which solution is correct? Be sure to check for extraneous solutions.
denis23 [38]
That answer is d)x=-4
4 0
2 years ago
Vivi is a drummer for a band. She burns 756 calories while drumming for 3 hours. She burns the same
german

The question you asked uses the concept of division, something that a bit tricky at first but gets easier as you master it!

So first let’s write and equation for your problem:

Let x = the amount of calories she burns each hour.

So we already know that Vivi was drumming for 3 hours, that she burned 756 calories, and that she burned the same amount of calories each hour.

Since she burned 756 calories in total, we know that the equation will have to equal 756:

= 756

We also know that the answer will be 3(hours) times x(the amount of calories), so now we just plug it into the equation:

3x = 756

To find what ‘x’ equals we have to divide both side by 3:

3x/3 = 756/3

Now all we have to do is simplify and you have your answer!

x = 252

And there you have it, Vivi burned 25 calories per hour!

Hope this helps! :)

6 0
2 years ago
Based off the table how long will it take to mow one lawn
weqwewe [10]
35 minutes for each lawn
Because 175 minus 5 equals 35 
So the rule should be 35 minutes per lawn.
Now if you plug this rule into the next two numbers (245 and 7) and you divide them, you should get 35, and you do.

I hope I helped
Please make me brainliest
6 0
3 years ago
Read 2 more answers
Hi there! Can someone please help me out with this? Please I need the correct answers for this ^^
strojnjashka [21]

9514 1404 393

Explanation:

This problem is demonstrating a solution to a word problem that involves the area of a rectangle and solution of a quadratic equations. We hope you learn from this example how to formulate and execute a strategy for solving word problems (or any other kind).

_____

<h3>Step 1</h3>

The problem is asking for dimensions, and tells you the relation of one dimension to another. It is generally convenient to assign a variable to a value the problem is asking for. Here, the unknown is the width of the garden. We choose to assign the variable "w" to remind us it stands for the width of the garden. The length units in the problem are meters, so we will assume that w stands for some number of meters.

The length of the garden is given as 12 m more than the width, so we can use the expression (w+12) to represent the length of the garden. The area of the garden is also given, and the shape is said to be a rectangle. This suggests we make use of the relation we know between length, width, and area for a rectangle.

  A = LW

Using the expressions we have formulated, and the given value of the area, we can substitute into this formula to get ...

  220 = (w+12)w

Why? Because this gives us an equation that we can solve to find the unknown dimensions of the garden that the problem asks for.

__

<h3>Step 2</h3>

a) There are different possible strategies for solving the quadratic equation of Step 1. One of the easiest (after graphing with a graphing calculator) is "factoring." Most strategies for factoring start from the equation in "standard form." So, we put the equation in standard form based on our intent to solve it using factoring.

__

b) The factored form of a quadratic equation is easy to solve. The solution can often be found mentally (as here). The numbers in the binomial factors are factors of the constant that have a sum equal to the coefficient of the linear term. Here, they are factors of -220 that have a sum of 12. Those factors are 22 and -10.

Often, these are found by searching through the possible factor pairs of -220 for a pair with the correct sum. Here, the most obvious factoring of 220 is 22·10, which factors differ by 12, so we have a useful clue immediately.

Why use factored form? It leads directly to a simple solution.

Why is this the factored form of the above equation? Because "simplifying" it gives the standard form equation.

__

c) The zero product rule tells us a product will be 0 when one or more factors is zero. Here, we have the product of two binomial factors, and the equation tells us it is equal to zero.

Why are these the solutions? Each binomial will be zero when the value of the variable is the opposite of the value of the constant. We can mentally determine the opposite of the constant, so all we need to do is write down the possible solutions: the opposite of 22, and the opposite of -10.

__

<h3>Step 3</h3>

a) The solutions we found are values of w, which we defined as the width of the garden. We know a width cannot be negative, so a value of -22 meters is not a solution to the problem.

__

b) The other possible solution we found from the equation is w = 10. This corresponds to a width of 10 meters for the garden. There is nothing about this that would suggest it is anything other than a useful answer to the question. So, we conclude <em>the width of the garden is 10 meters</em>.

__

c) The length of the garden is said to be 12 meters more than the width. That sum is 10 m + 12 m = 22 m. <em>The length of the garden</em> that satisfies the relations given in the problem statement <em>is 22 meters</em>.

_____

<em>Additional comment</em>

Various videos and websites describe the factoring of quadratic equations. It is easiest when the leading coefficient is 1, as here. You may notice that a negative sign on the constant in standard form means the factors have different signs.

Knowing that we will need factors of 220 that have a difference of 12, we can "cut to the chase" and solve the problem practically immediately by recognizing that 220 = 22·10, a pair of factors that differ by 12. This immediately tells us the dimensions of the garden are 10 m by 22 m. No further "work" is necessary.

6 0
3 years ago
Read 2 more answers
Other questions:
  • he theater club is hosting a one-act competition to raise $1,220 for new costumes. It plans to sell tickets for $8 each and woul
    12·2 answers
  • En una fábrica de automóviles que trabaja las 24 horas se arman diariamente 24
    8·1 answer
  • The volume of a tissue box is 288in3. If the box has a width of 6 inches and it is 4 inches high, how long is the box?
    13·1 answer
  • Soling two step inequalities<br> d=5v+m, solve for v
    6·1 answer
  • Marcie solved the following inequality and her work is shown below:. . −2(x − 5) − 12 ≤ 4 + 6(x + 3). −2x + 10 − 12 ≤ 4 + 6x + 1
    10·2 answers
  • F(x)=5x-4<br> Thanks for your help in advance!
    9·2 answers
  • What is 4.4 x 105 in standard notacion
    8·2 answers
  • I REALLY NEED HELP PLEASE HELP ME :(
    13·1 answer
  • About how many cubes were used to make this figure? A. about 40 B. about 70 C. about 100 D. about 140
    15·1 answer
  • Two angles in a triangle have measures of 42 and 82. (Degrees)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!