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Sphinxa [80]
3 years ago
6

The high school has 26 teachers and 546 students. What is the ratio of teachers to students?

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
8 0

Answer:

1:21

Step-by-step explanation:

Easiest trick way to do this is do 26/546 on your calculator (if you got a scientific one) this would simplify this to its lowest fraction which can be converted into a ratio in this case the ratio of teachers to students is 1:21

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What are two consecutive numbers whose cube differs by 271
valentina_108 [34]

Answer:

Two consecutive numbers cubes differ by 271. Let the two consecutive numbers be x and x + 1. The difference of the two consecutive numbers is 271. ( x + 1 ) ^3 - x ^3 = 271. 1 + 3 x ^ 2 + 3 x - 271 = 0.

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Find an equation for the line with the given properties. Express your answer using the general form or the slope-intercept form
Damm [24]

Answer:

y=-3x+4

Step-by-step explanation:

To get the equation in the slope-intercept form first, put the equation in slope-point form using the information given. The slope-point form is y-(-2)=-3(x-2). Then solve for y.

Distribute -3 to (x-2),

y-(-2)=-3x+6

Then, add -2 to both sides,

y=-3x+4

This is your final answer; the slope is -3 and the y-intercept is 4. There are also a few other ways to solve but I find this the easiest.

3 0
3 years ago
He determines that 6 is an extraneous solution because the difference of the numerators is 6, so the 6s cancel to 0. which best
seropon [69]

The question is incomplete. Completed question is given below the answer.

His solution for x is correct, but in order for 6 to be an extraneous solution, one denominator has to result in 0 when 6 is substituted for x.

Given  

Then the solution follows thus:

Step 1: 8(x – 4) = 2(x + 2)

Step 2: 4(x – 4) = (x + 2)

Step 3: 4x – 16 = x + 2

Step 4: 3x = 18

Step 5: x = 6

It can be seen that his solution is correct. But 6 is not an extraneous solution.

An extraneous solution is a solution to an equation that emerges from the process of solving the problem but is not a valid solution to the original problem.

When 6 is substituted into the original equation, the original equation holds.

Therefore, his solution for x is correct, but in order for 6 to be an extraneous solution, one denominator has to result in 0 when 6 is substituted for x.

Learn more about extraneous solution here: brainly.com/question/3751209

#SPJ4

Completed question:-

A student solves the following equation for all possible values of x:His solution is as follows:

Step 1: 8(x – 4) = 2(x + 2)

Step 2: 4(x – 4) = (x + 2)

Step 3: 4x – 16 = x + 2

Step 4: 3x = 18

Step 5: x = 6

He determines that 6 is an extraneous solution because the difference of the numerators is 6, so the 6s cancel to 0.

Which best describes the reasonableness of the student’s solution?

His solution for x is correct and his explanation of the extraneous solution is reasonable.

His solution for x is correct, but in order for 6 to be an extraneous solution, both denominators have to result in 0 when 6 is substituted for x.

His solution for x is correct, but in order for 6 to be an extraneous solution, one denominator has to result in 0 when 6 is substituted for x.

His solution for x is incorrect. When solved correctly, there are no extraneous solutions.

5 0
2 years ago
Please answer this thanks
olganol [36]

Answer:

It's C! 75%

Step-by-step explanation:

8 0
3 years ago
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The probability that an event will occur is 95%. Which of these best describes the likelihood of the event occurring?
AfilCa [17]

Answer:

Likely

First option is correct.

Step-by-step explanation:

The probability for occurring the event = 95% = 0.95

Let us understand different types of events:-

  • Certain events: If the probability of occurring an even is 1, then it is a certain event.
  • Impossible events: If the probability of occurring an even is 0, then it is a impossible event.
  • Likely events: If the probability of occurring an even is close to 1, then it is a likely event.
  • Unlikely events: If the probability of occurring an even is close to 0, then it is a unlikely event.

Now, the probability for occurring the event = 95% = 0.95, which is close to 1.

Hence, we can conclude that the event is likely.

First option is correct.

4 0
3 years ago
Read 2 more answers
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