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Answer: Choice C) </h3><h3>
The system can only be independent and consistent</h3>
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Explanation:
Let's go through the answer choices
- A) This isn't possible. Either a system is consistent or inconsistent. It cannot be both at the same time. The term "inconsistent" literally means "not consistent". It's like saying a cup is empty and full at the same time. We can rule out choice A.
- B) This is similar to choice A and we cannot have a system be both independent and dependent. Either a system is independent or dependent, but not both. Independence means that the two equations are not tied together, while dependent equations are some multiple of each other. We can rule out choice B.
- C) We'll get back to this later
- D) The independence/dependence status is unknown without the actual equations present. However, we know 100% that this system is not inconsistent. This is because the system has at least one solution. Inconsistent systems do not have any solutions at all (eg: parallel lines that never cross). We can rule out choice D because of this.
Going back to choice C, again we don't have enough info to determine if the system is independent or dependent, but we at least know it's consistent. Consistent systems have one or more solutions. So part of choice C can be confirmed. It being the only thing left means that it has to be the final answer.
If it were me as the teacher, I'd cross out the "independent" part of choice C and simply say the system is consistent.
Answer:
6/21.
Step-by-step explanation:
let the rational number be 2x/7x.
2x + 4 / 7x - 2 = 10 /19
Cross multiply:
19(2x + 4) = 10(7x - 2)
38x + 76 = 70x - 20
96 = 70x - 38x
32x = 96
x = 3.
So the rational number is 2*3/ 7*3
= 6/21.
This is a pythagorean triple --> 3-4-5
Although you notice it is doubled but with the same pattern --> 6-8-10
Thus, the hypotenuse is 10.
Answer: 6
Step-by-step explanation: 169/33=5.12121212121 so on. However, you still need a bus for the desimal people so you have to add another bus
