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Serhud [2]
3 years ago
10

A college has

Mathematics
1 answer:
gladu [14]3 years ago
8 0
Total-107
Male teacher-n
Female teacher-n+23
N+n+23=107
2n+23=107
2n= 84
N=42

Male teacher-42
Female teacher-42+23=65
65/107 teacher are female

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Given that (1, 0, 1) is a solution to a system of three linear equations, which of the following is true about the system?
Anna35 [415]
<h3>Answer:  Choice C) </h3><h3>The system can only be independent and consistent</h3>

===========================================================

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.

6 0
3 years ago
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What is the length of segment CE if AE = 15 inches and ED = 5 inches and EB = 3 inches?
marshall27 [118]
I do believe the correct and is 9 inches 
3 0
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What is the value of y
guajiro [1.7K]

Answer:

<h2>              y = 5.6</h2>

Step-by-step explanation:

From Thales' theorem:

                                        \dfrac y7\ =\ \dfrac45\\\\y=\dfrac45\cdot7\\\\y = \dfrac{28}5\\\\y = 5.6

5 0
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What is the solution set to, "Katie wants to collect over 100 seashells. She already has 34 seashells in her collection. Each da
Anastaziya [24]

Answer:

Katie will collect more than 100 seashells in 5 and a half days.

Step-by-step explanation:

Katie already has 34 seashells in her collection.

Each day, she finds 12 more seashells on the beach.

Let x be the number of days Katie is collecting seashells.

In x days, she will collect 12x seashells.

In total, she will collect 34+12x seashells.

Katie wants to collect over 100 seashells, so

34+12x> 100

Solve this inequality. Subtract 34:

34+12x-34>100-34\\ \\12x>66\\ \\2x>11\\ \\x>5 \dfrac{1}{2}

Katie will collect more than 100 seashells in 5 and a half days.

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3 years ago
How can you use addition and subtraction to put together and separate measures of an angle and its parts?
Oksanka [162]
We can use addition and subtraction <span>to put together and separate measures of an angle and its parts by looking for the complementary or the supplementary angles. 

For example, What is the other angle in a complementary angle in which one of the angles is 45 degrees. This is how should be answered. Ccomplementary angles are two angles that forms a total of 90 degrees.
90 = A + B
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