Cost of 12 notebooks = $9
Ratio of number of notebooks to its price
= 12:9
= 4:3 <em>(because we reduced it to the simplest form by dividing both numerator and denominator by 3)</em>
Let the cost of 8 notebooks be x.
Then, 8:x = 4:3
=> 8/x = 4/3
=> (8×3)/4 = x
=> 24/4 = x
=> 6 = x
So, the cost of 8 notebooks is $6.
The answer is A. You have to use pathagoream theorem
<span>3x + 2 y = 27
2 x + y = 27-11 = 16
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The student's conclusion is correct because the solution to the system of equations 3x + 2y = 27 and 2x + y = 16 is (5, 6). C
</span>
Answer:
A
Step-by-step explanation:
The square root of 5 is irrational because it cannot be expressed as a fraction.
Meanwhile, all 3 other answer choices are not irrational because they can be put into fraction form.
First off, you can rewrite your equation like so: c=(a-b)x. You can then plug in your given constraints for your choices. If a-b = 1 and c = 0 leaving: 0=1(x), x must equal 0 and only 0 as any constant multiplied by 0 equals 0. So that choice is eliminated. Now let's consider when a=b and c != 0. Since we are given a-b and a=b and c != 0, we have:
c = 0x. This contradicts our claim we made about our constraints. C cannot equal zero but we have a-b=0. Therefore, this claim makes no sense as any value for x will not satisfy the equation. This choice is valid. When a=b and c=0, we have: 0 = 0x. Here, x can be any value and still return 0 as an answer. This choice is valid. If a-b=1 and c != 1, we have: c = 1x. Our only rule here is that c cannot equal 1. This means that x can be any value other than 1 so this choice can be marked down. If a != b and c=0, this gives: 0 = (a-b)x. Given that a-b can be any value, x must be equal to only 0 to satisfy this equation so this choice can't be correct. So the right answers are: option 2, option 3, option 4 and option 5.
