MATHEMATICS COLLEGE

It takes a book editor 28 minutes to edit 6 pages. Find how long it takes her to edit 45 pages

Answers

Answer 1

Answer:

Answer:

Around 9.57 minutes to edit

Step-by-step explanation:

Do 28 divided by 6 to get around 4.7. Then do 45 divided by 4.7 to get the answer.

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A right triangle has side 9 and hypotenuse 15. Use the Pythagorean Theorem to find the length of the third side.Provide your answer below:

Answers

Answer:

Step-by-step explanation:

Pythogorean Theorem:

a squared + b squared = c squared

9 squared or 81 + ? squared = 15 squared or 225

Inverse Pythagorean Theorem:

c squared - a squared = b squared

225 - 81 = 144

sqrt (144) = 12

12 = b

Hope this helps! Good luck!

X + y + w = b2x + 3y + z + 5w = 6

z + w = 4

2y + 2z + aw = 1

For what values a, b (constants) is the system:

(a) inconsistent?

(b) consistent w/ a unique sol'n?

(c) consistent w/ infinitely-many sol'ns?

Answers

Answer:

(a) a=6 and b≠ $(11)/(4)$

(b)a≠6

Step-by-step explanation:

writing equation in agumented matrix form

$\begin{bmatrix}1 &1 & 0 &1 &b\n 2 &3 & 1 &5 &6\n 0& 0 & 1 &1 &4\n 0& 2 & 2&a &1\end{bmatrix}$

now $R_(2) =R_(2)-2* R_(1)$

$\begin{bmatrix}1 &1& 0 &1 &b\n 0 &1& 1 &3 &6-2b\n 0& 0 & 1 &1 &4\n 0& 2 & 2&a &1\end{bmatrix}$

now $R_(4) =R_(4)-2* R_(2)$

$\begin{bmatrix}1 &1& 0 &1 &b\n 0 &1& 1 &3 &6-2b\n 0& 0 & 1 &1 &4\n 0& 0 & 0 &a-6 &4b-11\end{bmatrix}$

a) now for inconsistent

rank of augamented matrix ≠ rank of matrix

for that a=6 and b≠ $(11)/(4)$

b) for consistent w/ a unique solution

rank of augamented matrix = rank of matrix

a≠6

c) consistent w/ infinitely-many sol'ns

rank of augamented matrix = rank of matrix < no. of variable

for that condition

a=6 and b=[tex]\frac{11}{4}

then rank become 3 which is less than variable which is 4.

the same type of television is being sold at two different stores. store A is selling the television for $800, which is $120 more than half the cost of the television at store B. write and solve an equation to determine the selling price for the television at store B.

Answers

Answer: the selling price of the television at store B is $1360

Step-by-step explanation:

Assuming the selling price of the television at store B is represented by $B. Store A is selling the television for $800, which is $120 more than half the cost of the television at store B. The equation representing this situation is expressed as

800 = B/2 + 120

Multiplying the left hand side and the right hand side of the equation by 2, it becomes

1600 = B + 240

B = 1600 - 240

B = $1360

There are 21 people on the basketball team and 45 people on the football team. If 100 people attend the athletic banquet … a) What is the minimum and maximum number of people that are on both the basketball and the football teams?
b) What is the minimum and maximum number of people that are on neither of these teams?
Let x = number of individuals both in basketball and football
c) Draw a Venn diagram to illustrate this

Answers

Answer:

a) min: 0; max: 21

b) min: 34; max: 55

Step-by-step explanation:

In the attached Venn diagrams (part c), the overlap of the two circles represents the number on both teams.

a) In the top diagram, there is no overlap, so the number on both teams is 0.

In the bottom diagram, there is complete overlap between the teams, so the maximum number that play both sports is 21 (the minimum team size of the two teams).

both teams minimum: 0; maximum: 21

b) The number on neither team is the number outside both circles. The minimum number will correspond to the case where there is no overlap between teams. In that case, there are 66 team players, so 34 people who are on neither team.

The maximum case is that where the teams completely overlap, so the number not on either team will be those not on the football team: 55 people.

neither team minimum: 34; maximum: 55

3 less than a number b divided by 2

Answers

Answer:

The equation would be written as fallowed

f(d)=d/2-3

Step-by-step explanation:

. Five jobs (A, B, C, D, E) are already in the READY queue waiting to be processed. Their estimated CPU cycles are respectively: 2, 10, 15, 6, and 8. Using SJN, in what order should they be processed?

Answers

Answer:

Job A - Job D - Job E - Job B - Job C

Step-by-step explanation:

Job A = 2

Job B = 10

Job C = 15

Job D = 6

Job E = 8

SJN (Shortest Job Next) is also known as Shortest Job First. In Shortest Job Next, the job with the shortest time among the available jobs is executed first then followed by the next job having the shortest time till all the jobs are finally executed.

Since all the five jobs are already in the queue: they will be processed based on the job having the shortest CPU time among the available job.

Job A will be processed first since it has smallest time of 2, followed by Job D with a time of 6, followed by Job E with a time of 8, followed by Job B with a time of 10 and finally Job C which is processed last.

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