Answer:
3:30PM
Step-by-step explanation:
Martina starting playing video games as soon as she got home from school. She played video games for 15 minutes. Then Martina helped clean the kitchen for 45 minutes. After the kitchen was clean, it took Martina 15 minutes to finish her homework. When Martina finished her homework, it was 4:45 P.M. What time did Martina get home from school?
Step 1
We add up the minutes it took her to do things
= Minutes for video games + Minutes for cleaning the kitchen + Minutes for doing homework
= 15 minutes + 45 minutes + 15 minutes
= 75 minutes
= 1 hour 15 minutes
Step 2
When Martina finished her homework, it was 4:45 P.M. What time did Martina get home from school?
This is calculated be subtracting 1 hour 15 minutes from 4:45 PM
= 4:45 PM - 1 : 15
= 3:30PM
Therefore, Martha got home from school by 3:30 PM
<h3>
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:
The GCF of 32 and 56 are 8.
Step-by-step explanation:
Answer above! Enjoy! :)
Answer:
x=23
Step-by-step explanation:
The two angles are equal so you can set 8x-77 and 3x+38 equal to each other and write it as:
8x-77=3x+38
Then you get like terms on the same sides by subtracting 3x from both sides and getting:
5x-77=38
Then you add 77 to both sides and get:
5x=115
Then you divide both sides by 5 and get x=23
Answer:
Step-by-step explanation:
Actually, g(t) = -5(x – 3) is a linear function: g(t) = -5x + 15. Its graph is a straight line with slope -5 and y-intercept (0, 15).
