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lapo4ka [179]
3 years ago
9

A college has a student to teacher ratio of 35 to 2. If there are 170 teachers at the college, how many students attend the

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
7 0

Answer: 2975

Step-by-step explanation:

From the question, we are informed that a college has a student to teacher ratio of 35 to 2 and that there are 170 teachers at the college,

The number of students in the college will then bee calculated as:

= 35 × 170/2

= 35 × 85

= 2975

Therefore, 2975 students attend the college

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At the gym, Jasper was able to bench press 224 pounds, which was StartFraction 7 over 8 EndFraction of the weight that Balin was
myrzilka [38]

Answer:

Balin could bench press 256 pounds.

Step-by-step explanation:

Jasper was able to bench press 224 pounds, which is 7/8 of x, which is the weight that Balin was able to bench press. So, mathematically:

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4 0
3 years ago
Read 2 more answers
Exercise 7.3.5 The following is a Markov (migration) matrix for three locations        1 5 1 5 2 5 2 5 2 5 1 5 2 5 2 5 2
fredd [130]

Answer:

Both get the same results that is,

\left[\begin{array}{ccc}140\\160\\200\end{array}\right]

Step-by-step explanation:

Given :

\bf M=\left[\begin{array}{ccc}\frac{1}{5}&\frac{1}{5}&\frac{2}{5}\\\frac{2}{5}&\frac{2}{5}&\frac{1}{5}\\\frac{2}{5}&\frac{2}{5}&\frac{2}{5}\end{array}\right]

and initial population,

\bf P=\left[\begin{array}{ccc}130\\300\\70\end{array}\right]

a) - After two times, we will find in each position.

P_2=[P].[M]^2=[P].[M].[M]

M^2=\left[\begin{array}{ccc}\frac{1}{5}&\frac{1}{5}&\frac{2}{5}\\\frac{2}{5}&\frac{2}{5}&\frac{1}{5}\\\frac{2}{5}&\frac{2}{5}&\frac{2}{5}\end{array}\right]\times \left[\begin{array}{ccc}\frac{1}{5}&\frac{1}{5}&\frac{2}{5}\\\frac{2}{5}&\frac{2}{5}&\frac{1}{5}\\\frac{2}{5}&\frac{2}{5}&\frac{2}{5}\end{array}\right]

     =\frac{1}{25} \left[\begin{array}{ccc}7&7&7\\8&8&8\\10&10&10\end{array}\right]

\therefore\;\;\;\;\;\;\;\;\;\;\;P_2=\left[\begin{array}{ccc}7&7&7\\8&8&8\\10&10&10\end{array}\right] \times\left[\begin{array}{ccc}130\\300\\70\end{array}\right] = \left[\begin{array}{ccc}140\\160\\200\end{array}\right]

b) - With in migration process, 500 people are numbered. There will be after a long time,

After\;inifinite\;period=[M]^n.[P]

Then,\;we\;get\;the\;same\;result\;if\;we\;measure [M]^n=\frac{1}{25} \left[\begin{array}{ccc}7&7&7\\8&8&8\\10&10&10\end{array}\right]

                                   =\left[\begin{array}{ccc}140\\160\\200\end{array}\right]

4 0
3 years ago
One number is 6 more than another. the difference between their squares is 192. what are the numbers?
atroni [7]
X-y=6
x²-y²=192
(x+y)(x-y)=192
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x=6+y.
6+y+y=32
2y=26.
y=13.
x-13=6
x=19.
Therefore the anwer is: x=19, y= 13.
3 0
4 years ago
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