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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Hi!
A is <u>FALSE</u> - If you shrink a shape, it is not increased a shape, yet it is still dilating.
B is <u>TRUE</u> - When you dilate an angle, you're really just shortening or lengthening the sides, but the angle isn't changing.
C is <u>FALSE</u> - Explained above.
D is <u>FALSE</u> - Two triangles that are congruent are <em>exactly the same, </em>therefore if you dilate a triangle, you are changing the size so they are not the same.
E is <u>TRUE</u> - Similar shapes are always the same <em>except for their size. </em>When you dilate a shape, you only change the size, therefore they are equal in every other way and they are similar.
Answer:
c=4
Step-by-step explanation:
-5c - 15 = -35
Add 15 to each side
-5c - 15+15 = -35+15
-5c = -20
Divide each side by -5
-5c/-5 = -20/-5
c = 4
It's not clear what your series is, so I'm going to take a wild guess on what it is you mean:


For the sum to be absolute convergent, the sum of the absolute value of the summand must converge, so you are really examining the convergence of

This is easily checked with the ratio test:


Since

converges by the ratio test, the series

converges absolutely.