Answer:
x=15, y=12
Step-by-step explanation:
Please see the attached pictures for full solution.
We know there are a total of 36 marbles. We also know 24 out of 36 are black and 12 out of 36 are blue. A ratio is pretty much a division problem... The problem wants the 24 black marbles over the 12 blue marbles. So, 24/12 = 2/1. Now, what this means is that for every 2 black marbles, there is one 1 blue marble. Good luck!
Answer:
<em>Option B; False</em>
Step-by-step explanation:
Consider a Triangle Inequality to prove that these segments could form a triangle;
<em>These segments could not form a triangle</em>
The algebraic representation of the statement is x + x² - yz = 0
<h3>What are algebraic expressions?</h3>
Algebraic expressions brings the idea of creating or expressing numbers using letters or alphabets without specifying their actual values.
From the information given , we have that;
- sum of x and it's square = x + x²
- Equal to y × z
Now, let's equate the expressions;
x + x² = y × z
x + x ² = yz
Let's make into quadratic form
x + x² - yz = 0
Thus, the algebraic representation of the statement is x + x² - yz = 0
Learn more about algebraic expressions here:
brainly.com/question/723406
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first subtract the last equation from the first. this gives:-
-x + y = -8 .....................(1)
Then multiply the first equation by 2 and add it to the 2nd equations This gives
9x = 18
so x = 2
and from equation (1) y = -8 + 2 = -6
Substituting for x and y in the second equation
z = (24 -5(2) -12) / 2 = 1
Answer is choice b.
