Answer:

Step-by-step explanation:

You have to prime factorise 81 and then you will get <u>9</u> as the answer.
This is valid through the law of syllogism. If you swap lines 1 and 2, then you'll have this argument:
If I step on a beehive, then I will get stung.
If I get stung by a bee, then it will hurt.
Therefore, if I step on a beehive, then it will hurt
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So it's like connecting a chain together. Point A (stepping on the hive), leads to point B (getting stung), which leads to point C (getting hurt). We can take a shortcut to bypass point B to jump from A to C in one step. Check out the attached image for a visual of what I'm referring to.
Answer:
The answer is D. g(x) = (x+4)^2 - 2
Step-by-step explanation:
This is because f(x) = (x-h)^2 + k
where h = horizontal translations and k = vertical translations
First we have to determine 30% of 12.
(30×12)÷100=3.6 so 3.6 is 30% of 12.
12 - 3.6= 8.4
Your answer is 8.4
Answer:
First brand of antifreeze: 21 gallons
Second brand of antifreeze: 9 gallons
Step-by-step explanation:
Let's call A the amount of first brand of antifreeze. 20% pure antifreeze
Let's call B the amount of second brand of antifreeze. 70% pure antifreeze
The resulting mixture should have 35% pure antifreeze, and 30 gallons.
Then we know that the total amount of mixture will be:

Then the total amount of pure antifreeze in the mixture will be:


Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -0.7 and add it to the second equation:



+

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We substitute the value of A into one of the two equations and solve for B.

