MATHEMATICS HIGH SCHOOL

16. At a certain university the student to teacher ratio is 16:1. If there are 2,000 students enrolled, how many teachers must be employed to maintain this ratio?A. 200
B. 28,000
C. 125
D. 215

Answers

Answer 1
Answer:

The correct answer is:

C. 125

Explanation:

The student to teacher ratio is 16:1.  This can also be written as 16/1.

We can use this to write a proportion and solve for the amount of teachers required.  We know that the total number of students is 2000, and the amount of teachers unknown; this gives us the ratio 2000/x.  This gives us the proportion

16/1 = 2000/x

Cross multiplying, we have

16(x) = 1(2000)

16x = 2000

Divide both sides by 16:

16x/16 = 2000/16

x = 125

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Factor the expression y2+6y-16

Answers

(Y+8)(Y-2)

Factoring by grouping is splitting middle terms into two appropriate terms. 
let us see the resulting expression below as we factor the expression -8x3-2x2-12x-3.

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the resulting expression after factoring -8x3-2x2-12x-3 by grouping is: 
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The method factoring by grouping is widely used by college professors, teachers, students and even textbook authors.

Given the following m(x)=5x-3​

Answers

x = - 3/m-5 im pretty sure if your looking for x

Eric's father works two part time jobs, one in the morning and one in the afternoon, and works a total of 40 hours each 5-day workweek. If his schedule is the same each day, and he works 3 hours each morning, how many hours does Eric's father work each afternoon?

Answers

Answer:

Eric's father works for 5 hours in the afternoon

Step-by-step explanation:

Eric's father works two part time jobs, one in the morning and one in the afternoon, and works a total of 40 hours each 5-day workweek.

Step 1

The number of hours he works each days is calculated as:

40 hours÷ 5days

= 8 hours per day.

Hence, he works 8 hours per day.

Step 2

We are told in the question that:

If his schedule is the same each day, and he works 3 hours each morning, how many hours does Eric's father work each afternoon?

The total number of hours in works in a day = Number of hours worked in the morning + Number of hours worked in the afternoon

Hence:

8 hours = 3 hours + x

x = 8 hours - 3 hours

x = 5 hours

Therefore, Eric's father works for 5 hours in the afternoon

What is the value of x. What is the measure of angle ABC and what is the value of angle CBD

Answers

Answer:

15

Step-by-step explanation:

What is (5-sqrt of 2)(3-sqrt of 2)

Answers

then the answer is 17 minus 8 times the square root of 2, or 5.68629

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Answers

To find the mean, add up all of the numbers, and divide by the total amount of numbers.

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