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OLga [1]
3 years ago
14

Which of the following lists all of the positive factors of 18?

Mathematics
1 answer:
babymother [125]3 years ago
4 0

The square root of 18 is 4.2426, rounded down to the closest whole number is 4. Testing the integer values 1 through 4 for division into 18 with a 0 remainder we get these factor pairs: (1 and 18), (2 and 9), (3 and 6). The factors of 18 are 1, 2, 3, 6, 9, 18.

Step-by-step explanation:

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Jane is paid 14.85 an hour for regular 40 hour work week. her overtime pay for any hours over 40 per week is 1.5 times her regul
klasskru [66]

Around 6 hours (exact decimal would be 5.99865). I did this by multiplying 14.85*40 (getting 594). After that, I subtracted 594 from 727.65 (getting 133.65), then multiplying 14.85 by 1.5, getting 22.28, and then, I did 133.65/22.28, getting 5.99865, which I rounded to 6.

4 0
3 years ago
Alex is a writer who writes poems and short stories. For an upcoming writer's workshop Alex wants to write some new works. He ne
pashok25 [27]

Answer:

The maximum number of works that he can write while staying in his time budget is 24.

21 poems and 3 short stories

Step-by-step explanation:

In order to solve this problem we must first determine what our variables are. In this case it's the number of poems and short stories he can write.

p = # of poems

s = # of short stories

Next, we must build our objective function which will represent the total number of works he can write.

N=p+s

where N is the number of works.

Next, we must write the constrains based on the information provided by the problem.

The problem tells us that it takes him 30 hours to write a poem and 70 hours to write a short story and that he has 840 hours available to write them, so that constrain will be the following:

30p+70s \leq 840

it also tells us that he wants to write at least 4 poems and 3 short stories so there we have our other two constrains.

p \geq 4

s \geq 3

once we got our constrains we can go ahead and graph them to see how they will behave. (See attached picture)

In the graph p is the horizontal axis and s is the vertical axis.

On the graph we can see a polygon that is formed by the restriction. The vertices of the polygon will represent the optimal conditions for this linear programming problem. There are three optimal solutions there, so we need to test them to see which will return the greatest number of works he can write while keeping the given conditions.

Option 1:

4 poems and 3 short stories

N=4+3

N= 7 works

Option 2:

4  poems and 10 short stories

N=4+10

N=14 works

Option 3:

21 poems and 3 short stories

N=21+3

N=24 works

So the optimal solution will be given by option 3 with 21 poems and 3 short stories.

5 0
2 years ago
Drag and drop each pair of lines into the correct category to indicate whether the pair of lines are parallel,
Vadim26 [7]

Answer:neither, neither, perpendicular , neither

parallel

Step-by-step explanation:put each line in the form y=mx+b

if m=m they are parallel

if m times m = -1 they are perpendicular

if the m’s are unrelated than neither

5 0
2 years ago
They are 25 boys and 16 girls in grade V camia what is the ratio of girls to boys using fraction​
oksano4ka [1.4K]

Answer:

Ratio of girls to boys:

16:25

8 0
3 years ago
Read 2 more answers
What is the equation of a line that passes through points (2, 1)<br> and (3, 2)?
IrinaVladis [17]

Answer:

all work is shown and pictured including #12

4 0
3 years ago
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