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Naily [24]
3 years ago
5

What is the following product?

Mathematics
1 answer:
Musya8 [376]3 years ago
8 0

Answer:

<em><u>=</u></em><em><u> </u></em><em><u>7</u></em><em><u> </u></em><em><u>.</u></em>

From the working above

You might be interested in
The length of a rectangle is 9 centimeters more than half
Sedaia [141]

Answer:

l = 16 cm

Step-by-step explanation:

Let's set the width of the rectangle as "w" and the length of the rectangle as "w/2 + 9".

The perimeter of a rectangle is calculated by adding up the value of all of its side lengths. Therefore, we can find the perimeter using 2l + 2w = P.

We can substitute 60 for P and w/2 + 9 for l.

  • 2(w/2 + 9) + 2w = 60
  • 2w/2 + 18 + 2w = 60
  • w + 18 + 2w = 60
  • 3w + 18 = 60
  • 3w = 42
  • w = 14

Substitute w = 14 into the equation for length l.

  • l = w/2 + 9
  • l = 14/2 + 9
  • l = 16

The length of the rectangle is 16 cm.

4 0
2 years ago
Use the dot plot to answer the question.
Tcecarenko [31]

Answer:

Mean of the data set in the dot plot would be: 3.6

Step-by-step explanation:

As we know that Mean from the dot plot can be obtained by:

  • adding the numbers and then
  • divide the resulting sum by the number of addends.

Please check the attached figure where the dot plot is also plotted.

From the dot plot, it is clear that

There are 3 dots at 1.

There are 4 dots at 2.

There are 3 dots at 3.

There are 4 dots at 4.

There are 5 dots at 5.

There are 3 dots at 6.

All we have to do is to add the dots and divide the sum by the number of addend dots.

In other words:

There are 3 dots at 1    ⇒  1+1+1

There are 4 dots at 2   ⇒  2+2+2+2

There are 3 dots at 3   ⇒   3+3+3

There are 4 dots at 4   ⇒   4+4+4+4

There are 5 dots at 5   ⇒   5+5+5+5+5

There are 3 dots at 6   ⇒   6+6+6

As there are total 22 dots.

And the sum of all the dots with respect to their plot number = 79

i.e. 1+1+1+2+2+2+2+3+3+3+4+4+4+4+5+5+5+5+5+6+6+6 = 79

Thus

Mean of the data set in the dot plot = 79/22

                                                            = 3.6

Therefore, Mean of the data set in the dot plot would be: 3.6

4 0
2 years ago
The profit of a company receives is given by the expression 0.15(855p - 315) where p is the number of problems sold. Rewrite thi
Goryan [66]

The profit for 25 products sold and 150 products sold are 3159 and 19190.25 respectively.

<u><em>Explanation</em></u>

The profit of a company receives is given by the expression:  0.15(855p - 315)

Simplifying this expression using distributive property, we will get .....

0.15(855p - 315) \\ \\ = (0.15*855p)-(0.15*315)\\ \\ =128.25p-47.25

So, the simplified expression for profit will be:  128.25p-47.25

As p represents the number of products sold, so for finding the profit for 25 products sold and 150 products sold, <u>we need plug p=25 and p=150 separately into the above expression</u>.  

For p=25,  Profit =128.25(25)-47.25 = 3206.25-47.25= 3159

For p=150, Profit =128.25(150)-47.25 = 19237.50-47.25= 19190.25


5 0
3 years ago
What is the first quartile of this data set? {6, 47, 49, 15, 43, 41, 7, 36}
stepladder [879]
<span>The first quartile is the same as the median of the data which are less than the overall median. Same as the 25th percentile.
</span>
I hope my answer has come to your help. God bless and have a nice day ahead!
5 0
3 years ago
Mia removes the plug from a trough to drain the water. The volume, in gallons, in the trough after it has been unplugged can be
STALIN [3.7K]

Answer:

The correct option is D) (5x − 2)(2x − 3).

Step-by-step explanation:

Consider the provided expression.

10x^2-19x+6

Where x is time in minutes.

We need to find the appropriate form of the expression that would reveal the time in minutes when the trough is empty.

When the trough is empty the whole expression becomes equal to 0.

Substitute the whole expression equal to 0 and solve for x that will gives us the required expression.

10x^2-19x+6=0

10x^2-15x-4x+6=0

5x(2x-3)-2(2x-3)=0

(5x-2)(2x-3)=0

Now consider the provided option.

By comparison the required expression is D) (5x − 2)(2x − 3).

Hence, the correct option is D) (5x − 2)(2x − 3).

3 0
3 years ago
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