Answer: 600 bushels of 10% alcohol content and 400 bushels of 15% alcohol content.
Step-by-step explanation:
Let we add x quantity of 10% of alcohol content and y quantity of 15% alcohol content for making 12% of alcohol content mixture.
Then according to the question, 10% of x + 15 % of y = 12% of 1000
⇒ 0.1x + 0.15y = 120
⇒ 10x + 15y = 1200
⇒ 2x +3y = 2400 -------- (1)
And, x + y = 1000
⇒ 2x + 2y = 2000 ---------(2)
Equation 1) - equation 2)
We get y = 400
By putting the value of y in equation 1),
⇒2x + 1200 = 2400
⇒ 2x = 1200
⇒ x = 600
Thus, he needs to mix 600 bushel of 10% of alcohol content with 400 bushels of 12% of alcohol content for getting 1000 bushels of 12% of alcohol content.
The given statement "A theorem is a statement that can be easily proved using a corollary" is false.
Answer: False
<u>Step-by-step explanation:</u>
A statement that would be proven on the basis of postulates and before proven theorem is called Theorems. "Corollary", a theorem that should come from a previous theorems (part of another statement). Contrary to the definitions, this may be reversible or irreversible if they are presented in the form "if - then."
Example for theorem: The measured angles of a triangle added to 180 degree.
The theoretical aspects of geometry consists of definitions, theorems, and postulates. Basically, these are elements of geometric proof.
tye findamental theorem of calculs is cognitive
Answer:
Step-by-step explanation:
First, you should distribute the -1 on the right.
Next, add 8n to both sides. This should cancel out the 8n.
Now, add 8 to both sides. This will get n by itself.
Your answer is n = -2.
The last one since there are no solutions
