The meteorologist made a forecast that a cold front was coming through and the temperature would steadily drop 15.8 degrees over
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Let x be the number of white marbles and y be the number of blue marbles.
So,
Also,
since "<span>the number of white marbles is 6 less than 4 times the number of blue marbles</span>"
We will solve the above system o two equation:
Using the value of x from the second equation in the first equation we get:
Conclusion: there is 62 white marbles and 17 blue marbles.
So,
Also,
We will solve the above system o two equation:
Using the value of x from the second equation in the first equation we get:
Conclusion: there is 62 white marbles and 17 blue marbles.
I'm not sure if this is the easiest way of doing this, but it surely work.
Let the base of the triangle be AB, and let CH be the height. Just for reference, we have
Moreover, let CH=y and BC=z
Now, AHC, CHB and ABC are all right triangles. If we write the pythagorean theorem for each of them, we have the following system
If we solve the first two equations for y squared, we have
And we can deduce
So that the third equation becomes
(we can't accept the negative root because negative lengths make no sense)