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snow_lady [41]
4 years ago
13

Two planes start from los angeles international airport and fly in opposite directions. the second plane starts 1/2 hour after t

he first plane, but its speed is 60 kilometers per hour faster. find the airspeed of each plane if 2 hours after the first plane departs, the planes are 3135 kilometers apart.
Mathematics
1 answer:
mixer [17]4 years ago
6 0
Let x = first plane's speed.  
We have the equation:
 2 hours * x km/h + 1.5 hours * (x+60) km/h = 3135 km. 
 3.5 hours*x km/h + 90 km = 3135km
 3.5hours*x km/h = 3045km 
 x = 870 km/h. 
 The first plane is traveling at 870 km/h, therefore since it is 60 km/h faster, the second plane is traveling at 930 km/h.
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Denelle is decorating a ballroom ceiling with garland. If the rectangular ceiling is 63 feet by 60 feet, how much garland will D
AURORKA [14]

Answer:

The answer to your question is: 3780 m²

Step-by-step explanation:

Data

Rectangular ceiling

base = 63 ft

height = 60 ft

Formula

Area = base x height

Process

Area = 63 x 60

       = 3780 m²

7 0
3 years ago
A local bagel shop produces two products: bagels (B) and croissants (C). Each bagel requires 6 ounces of flour, 1 gram of yeast,
KengaRu [80]

Answer:

  see below

Step-by-step explanation:

If we let X represent the number of bagels produced, and Y the number of croissants, then we want ...

(a)   Max Profit = 20X +30Y

(b)   Subject to ...

     6X +3Y ≤ 6600 . . . . . . available flour

     X + Y ≤ 1400 . . . . . . . . available yeast

     2X +4Y ≤ 4800 . . . . . . available sugar

_____

Production of 400 bagels and 1000 croissants will produce a maximum profit of $380.

__

In the attached graph, we have shaded the areas that are NOT part of the solution set. (X and Y less than 0 are also not part of the solution set, but are left unshaded.) This approach can sometimes make the solution space easier to understand, since it is white.

The vertex of the solution space that moves the profit function farthest from the origin is the one we are seeking. The point that does that is (X, Y) = (400, 1000).

4 0
4 years ago
Please answer, thank you
JulijaS [17]

Answer:

C) 5

Step-by-step explanation:

5 0
3 years ago
Which of the following is a unit of density?
strojnjashka [21]
Kilograms per cubic centimeter
4 0
3 years ago
Read 2 more answers
Write a problem that could be modeled with y=200(0.9).
Lunna [17]

First, I need to decide what equation this is like.

I believe this is y=mx.

We know that x is typically the input, and m is the constant function.

Y is the output.

So the original function may have been y=200x.

The only difference is now we've been given something to apply to the equation, in place of x.

2. <em>Imagine a cloning machine. Whatever you put in, you get a copy of, and the original thing you put in. Its function would be y=2x. Let's pretend we decided to put three things in; 3 would go where x is. </em>

<em>Y would be the result of 3 copies and their originals, or 2(3).</em>

<em>(6=2(3))</em>

<em>Now, when someone else decides to use the cloning machine, they may put any number in, but the only properties that will change are y and x, not m.</em>

<em>The function will remain y = 2x. Any number could go in place of x, and multiplying x by 2 will give you the y. As long as you have a different value for x, the y will never be the same.</em>

3. So now we have an understanding of what it means, we see that we have been given an x value to insert; an input.

A more practical example could be someting with money. This won't be entirely realistic, because we are dealing with a fraction of a number and another large number.

4. I decided to go with flour. I wanted the 200 to represent pennies, or cents. Before I landed on this, I looked up the cost of flour per pound. I found that the average is .43 dollars, which isn't terribly close to two dollars. But maybe the flour is high quality, so we can stick with that.

5. Seeing that this equation, y=200x, means we are charging 200 cents, or two dollars, we can write a problem from here.

Sylvia is in charge of selling home-harvested flour from an organic farm. She charges two dollars per pound of flower. Today, her next-door neighbors hope to buy a ninth of pound of flour, and they insist on paying with pennies. How many pennies do they need to pay for their order?

<em>Let me know if this helped, or if you have any questions! </em>

3 0
3 years ago
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