There are 111 faculty members at the college and 629 students at the college.
Step-by-step explanation:
Given,
The student to faculty ratio = 17:3
Total number of 740.
Let,
x be the original number.
Number of students = 17x
Number of faculty = 3x
Number of students + Number of faculty = 740
Dividing both sides by 20
Number of students = 17x = 17*37 = 629
Number of faculty = 3x = 3*37 = 111
There are 111 faculty members at the college and 629 students at the college.
Keywords: ratio, multiplication
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Answer:
Step-by-step explanation:
81/153 x/100
81•100=8,100
8,100/153
52.9
Answer:
A) Silvie is incorrect; the sum of a rational number and an irrational number is always irrational
Step-by-step explanation:
The concept of adding rational and irrational numbers states that the result will always be irrational.
Take for instance the addition of 4.5 and 3.142857
4.5 is a rational number because it can easily be expressed in fractions while 3.142857 is irrational because it can't be expressed as a simple fraction.
The addition of these two numbers gives 7.642857
7.642857 is an irrational number.
Similarly, any sum of two numbers (rational and irrational) will always result in irrational number.
Hence, Silvie is incorrect.
It may be easier to start from
.. a(x +3)(x -1) = 0
.. a(x^2 +2x -3) = 0
The quadratic
.. ax^2 +bx +c = 0 will have solutions -3 and 1 for ...
.. a ≠ 0
.. b = 2a
.. c = -3a
