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Mnenie [13.5K]
3 years ago
13

value mart is advertising a back to school sale on notebook a pack of 8 notebooks sells for 7.15 where as a 6 pack of the same b

rand of note books cost 5.25 wich is the better buy
Mathematics
1 answer:
Morgarella [4.7K]3 years ago
4 0

Answer:

6 notebooks  for  5.25 is a BETTER BUY.

Step-by-step explanation:

Here, according to the question:

A)  8 notebooks sells for 7.15

\textrm{Cost of 1 notebook} = \frac{\textrm{Cost of n notebooks}}{\textrm{n}}

So, here cost of 1 notebook = (\frac{7.15}{8} ) = 0.893

⇒Here the cost of 1 notebook = $0.893

B)  6 notebooks sells for  5.25

\textrm{Cost of 1 notebook} = \frac{\textrm{Cost of n notebooks}}{\textrm{n}}

So, here cost of 1 notebook = (\frac{5.25}{6} ) = 0.875

⇒Here the cost of 1 notebook = $0.875

Now, as we can see   $0.893 >  $0.875

⇒ the cost of 1 notebook is MORE if we buy 8 notebooks sells for 7.15.

Hence, 6 notebooks  for  5.25 is a BETTER BUY.

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Limit as x approaches 0 of csc3x/cotx
jolli1 [7]
Hello Meggieh821, to find the lim as x approaches 0 we can check this by inserting a number that is close to 0 that is coming from the left and from the right.

For instance, we can find the lim by using the number -.00001 for x and solve
<span>csc(3x) / cot(x)
</span>csc(3*-.00001) / cot(-.00001) = .333333... = 1 /3

We also need to check coming from the right. We will use the number .00001 for x
csc(3x) / cot(x)
csc(3*.00001) / cot(.00001) = .333333... = 1 /3

So since we are getting 1/3 from the left and right we can say as x approaches 0 the limit is 1/3

<span>\lim_{x\to 0} \frac{csc(3x)}{cot(x)} = \frac{1}{3}</span>

6 0
3 years ago
b. If each square has a side length of 61 cm, write an expression for the surface area and another for the volume of the figure
Blababa [14]

Answer:

6*(61^2) and 61^3

Step-by-step explanation:

If the squares have a side length of 61 (assuming this is a cube) our surface area is 6*(61^2) because each side is a square and there are six sides.

As for the volume, we have 61^3.

Hope this was helpful.

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8 0
3 years ago
An individual who has automobile insurance from a certain company is randomly selected. Let Y be the number of mov- ing violatio
olga2289 [7]

Answer:

a) E(Y) = \sum_{i=1}^n Y_i P(Y_i)

And replacing we got:

E(Y) =0*0.60 +1*0.25 +2*0.1 +3*0.05 = 0.60

b) E(Y^2) =0^2*0.60 +1^2*0.25 +2^2*0.1 +3^2*0.05 = 1.1

And then the expected value would be:

E(100Y^2) = 100*1.1= 110

Step-by-step explanation:

We assume the following distribution given:

Y       0       1        2        3

P(Y) 0.60 0.25  0.10  0.05

Part a

We can find the expected value with this formula:

E(Y) = \sum_{i=1}^n Y_i P(Y_i)

And replacing we got:

E(Y) =0*0.60 +1*0.25 +2*0.1 +3*0.05 = 0.60

Part b

If we want to find the expected value of 100 Y^2 we need to find the expected value of Y^2 and we have:

E(Y^2) = \sum_{i=1}^n Y^2_i P(Y_i)

And replacing we got:

E(Y^2) =0^2*0.60 +1^2*0.25 +2^2*0.1 +3^2*0.05 = 1.1

And then the expected value would be:

E(100Y^2) = 100*1.1= 110

4 0
3 years ago
Henry was 1-2/3 hours of homework each night from monday through thursday and 3-1/2 hours total over the weekend.. how much more
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Answer:

Cheyenne has a part-time job at which she gets paid by the hour. The table below shows how much money Cheyenne can earn for working variousCheyenne has a part-time job at which she gets paid by the hour. The table below shows how much money Cheyenne can earn for working various

Step-by-step explanation:

5 0
2 years ago
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Inverse variation ?
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<h2>Answer:</h2>

<u>The pressure will be 176 k Pa</u>

<h2>Step-by-step explanation:</h2>

Boyle's law states that the product of volume and pressure gives us a constant value so we can write the expression as

P1V1 = P2V2

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Putting the values

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4 0
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