A bag contains 120 marbles. Some are red and the rest are black. There are 17 red marbles for every 3 black marbles. How many re
1 answer:
Given :
A bag contains 120 marbles. Some are red and the rest are black. There are 17 red marbles for every 3 black marbles.
To Find :
How many red marbles are in the bag.
Solution :
Let, number of red and black marbles are x and y respectively.
So, x + y = 120 ....1)
Now, it is given that there are 17 red marbles for every 3 black marbles.
So, 3x = 17y ....2)
Putting value of x from equation 2) to equation 1), we get :
Therefore, the number of red and black marbles are 102 and 18 respectively.
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<h2>Hello There today we will solve your problem</h2>
<em>Response-</em>
<em>ABC is absolutely a right triangle</em>
<em>we can use the pythagorean theorem to solve this</em>
<h3><em>Definitions</em></h3>Right Triangle - <em>A right triangle or right-angled triangle, or more formally an orthogonal triangle, is a triangle in which one angle is a right angle. The relation between the sides and other angles of the right triangle is the basis for trigonometry. The side opposite to the right angle is called the hypotenuse.</em>
Pythagorean Theorem - <em>In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.</em>
<em>_________________</em>
<em>To use to the Pythagorean Theorem it is</em>
For our equation would be
would be
<em>_________________</em>
<h2><em>Solve</em></h2>Since we got this is a right triangle since it's what we had before.
Answers:
f(-3) = -1
f(-1) = 2
f(3) = 5
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Explanations:
Draw a vertical line through -3 on the x axis. Make sure this vertical line crosses the orange graph. Mark this point of intersection and then draw a horizontal line from this point to the y axis. You should find that it touches -1 on the y axis. Check out the attached image to see this process in action.
Those steps basically say that x = -3 leads to y = -1. Since y = f(x), this means f(-3) = -1
Through similar steps, you should find that f(-1) = 2 and f(3) = 5
Note that the open hole/circle does not count. So if you land on an open hole, just keep going until you hit a closed circle on the other piece of the graph.
