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Eva8 [605]
3 years ago
5

The cost of a pack of 12 pens is $3.24. Find the the unit price in dollars per pen. If necessary, round your answer to the neare

st cent.
Mathematics
2 answers:
Mnenie [13.5K]3 years ago
8 0

Answer:

27 cents each

Step-by-step explanation:

3.24/12=.27

Ray Of Light [21]3 years ago
8 0

Answer:

The unit price in dollars per pen is $0.27

Step-by-step explanation:

If we know that 12 pens is $3.24, we need to find the cost per pen.

So we can set up an equation like this:

                     12                              1

            ___________ =      ____________

                    3.24                            x

Now, we cross multiply:

  • 12x = 3.24
  • Divide by 12 on both sides to solve for x
  • x = 0.27

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Negative five teen divided by three
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Answer:

-5

Step-by-step explanation:

-15/3=-5

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-34(39) + -81........

Step-by-step explanation:

4 0
3 years ago
working together it takes two computers 10 minutes to send out a company's email. If it takes the slower computer 30 minutes to
allochka39001 [22]

Answer: it will take the faster computer 15 minutes to do the job on its own.

Step-by-step explanation:

Let t represent the number of minutes it will take the faster computer to do the job on its own. It means that the rate at which it does the job per minute is 1/t

If it takes the slower computer 30 minutes to do the job on its own. It means that the rate at which it does the job on its own per minute is 1/30

By working together, they would work simultaneously and their individual rates are additive. Working together it takes two computers 10 minutes to send out a company's email. It means that the rate at which both computers work together per minute is 1/10 Therefore,

1/t + 1/30 = 1/10

Cross multiplying by 30x, it becomes

3x = x + 30

3x - x = 30

2x = 30

x = 30/2

x = 15 minutes

5 0
3 years ago
For what value n is 1P3 =nP4?
Serggg [28]

Answer:

I don't know if this helps, just a picture not a link

3 0
3 years ago
Prove that if {x1x2.......xk}isany
Radda [10]

Answer:

See the proof below.

Step-by-step explanation:

What we need to proof is this: "Assuming X a vector space over a scalar field C. Let X= {x1,x2,....,xn} a set of vectors in X, where n\geq 2. If the set X is linearly dependent if and only if at least one of the vectors in X can be written as a linear combination of the other vectors"

Proof

Since we have a if and only if w need to proof the statement on the two possible ways.

If X is linearly dependent, then a vector is a linear combination

We suppose the set X= (x_1, x_2,....,x_n) is linearly dependent, so then by definition we have scalars c_1,c_2,....,c_n in C such that:

c_1 x_1 +c_2 x_2 +.....+c_n x_n =0

And not all the scalars c_1,c_2,....,c_n are equal to 0.

Since at least one constant is non zero we can assume for example that c_1 \neq 0, and we have this:

c_1 v_1 = -c_2 v_2 -c_3 v_3 -.... -c_n v_n

We can divide by c1 since we assume that c_1 \neq 0 and we have this:

v_1= -\frac{c_2}{c_1} v_2 -\frac{c_3}{c_1} v_3 - .....- \frac{c_n}{c_1} v_n

And as we can see the vector v_1 can be written a a linear combination of the remaining vectors v_2,v_3,...,v_n. We select v1 but we can select any vector and we get the same result.

If a vector is a linear combination, then X is linearly dependent

We assume on this case that X is a linear combination of the remaining vectors, as on the last part we can assume that we select v_1 and we have this:

v_1 = c_2 v_2 + c_3 v_3 +...+c_n v_n

For scalars defined c_2,c_3,...,c_n in C. So then we have this:

v_1 -c_2 v_2 -c_3 v_3 - ....-c_n v_n =0

So then we can conclude that the set X is linearly dependent.

And that complet the proof for this case.

5 0
3 years ago
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