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eduard
2 years ago
10

Find the average of –25, –70, 15, –31, –25, and 40.

Mathematics
2 answers:
Advocard [28]2 years ago
3 0

Answer:

-16

Step-by-step explanation:

The average of –25, –70, 15, –31, –25, and 40 is -16

To determine the average of the numbers given, we shall find their sum then divide this sum by the number of values;

The sum of the numbers is;

-25-70+15-31-25+40 = -96

We have a total of 6 values, thus the average becomes;

(-96)/6 = -16

Marina CMI [18]2 years ago
3 0

Answer: FIRST OPTION.

Step-by-step explanation:

To calculate the average of a set of numbers, we need to add the numbers and divide the sum by the amount of values into that set.

For example, given a set of numbers:

a,b,c,d

The average will be:

average=\frac{a+b+c+d}{4}

Then, the average of the given set of numbers (-25, -70, 15, -31, -25, and 40) is:

average=\frac{-25+(-70)+ 15+(-31)+(-25)+40}{6}\\\\average=\frac{-25-70+ 15-31-25+40}{6}\\\\average=-16

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Bobby bought two shares of stock, which he sold for $96 each. If he had a profit of 20 percent on the sale of one of the shares
pashok25 [27]

Answer:

The correct option is c) a loss of $8.

Step-by-step explanation:

Consider the provided information.

If the selling price of two item is same and one item sold at a profit of x % and other at a loss of x % in that case total sale result loss:

To calculate the loss use the formula: Loss\ \%=(\frac{x}{10})^2\ \%

It is given that he had a profit of 20 percent on the sale of one of the shares but a loss of 20 percent on the sale of the other share, where the selling price is $96 each.

That means the total sale result will be a loss.

Now use the above formula by substitute x=20.

Loss\ \%=(\frac{20}{10})^2\ \%\\\\Loss\ \%=4\ \%

It is given that the sales price is $96 of each that means total sales price is:

$96+$96=$192

Let the cost price of the shares were x.

According to question: x-4% of x = 192

x-\frac{4}{100}\times x = 192\\\\x-0.04x = 192\\\\0.96x = 192\\x = 200

Hence, the cost price of the shares was 200.

Loss = Cost price -Sales price

Loss = $200 - $192

Loss = $8

Hence, the correct option is c) a loss of $8.

8 0
3 years ago
Steve drives 5/8 miles on 1/2 gallon of gas. Find the miles per gallon.
vladimir2022 [97]

Answer: For every gallon, he will go 1 2/8 miles.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Please answer me this question ​
Jobisdone [24]

Answer:

x = 2

y = 3

Step-by-step explanation:

\left \{ {{0.4x + 0.3y = 1.7} \atop {0.7x - 0.2y = 0.8}} \right.

\left \{ {{2(0.4x + 0.3y) = 2 * 1.7} \atop {3(0.7x - 0.2y) = 3 * 0.8}} \right.

\left \{ {{0.8x + 0.6y = 3.4} \atop {2.1x - 0.6y) = 2.4}} \right.

2.9x = 5.8

29x = 58

x = 2

0.3y + 0.4x = 1.7

0.3y + 0.4 * 2 = 1.7

0.3y + 0.8 = 1.7

0.3y = 0.9

3y = 9

y = 3

4 0
2 years ago
Maggie leaves her home and travels 4 miles
DiKsa [7]

Answer:11 miles

Step-by-step explanation:

4 0
3 years ago
Which of the following matrices is the solution matrix for the given system of equations? x + 5y = 11 x - y = 5
givi [52]
<h2>The required solution is x = 6 and y = 11 </h2>

Step-by-step explanation:

Given system of equations are

x+5y = 11 and x-y =5

A= \left[\begin{array}{cc}1&5\\1&-1\end{array}\right]                            X=\left[\begin{array}{c}x\\y\end{array}\right]

and          B= \left[\begin{array}{c}11\\5\end{array}\right]

∴AX=B

adj A = \left[\begin{array}{cc}{-1}&{-5}\\{-1}&1\end{array}\right]

A= \left|\begin{array}{cc}1&5\\1&-1\end{array}\right|=-6

∴A^{-1} =\frac{adj A}{|A|}

So,A^{-1} =\frac{ \left[\begin{array}{cc}{-1}&{-5}\\{-1}&1\end{array}\right]}{-6}

A^{-1} ={ \left[\begin{array}{c \c}  {{\frac{1}{6} }}&{\frac{5}{6}}\ \\  {{\frac{1}{6} }}&{\frac{-1}{6}} \end{array}\right]}

X =A^{-1}\times B

⇒\left[\begin{array}{c}x\\y\end{array}\right] ={ \left[\begin{array}{c \c}  {{\frac{1}{6} }}&{\frac{5}{6}}\ \\  {{\frac{1}{6} }}&{\frac{-1}{6}} \end{array}\right]} \times \left[\begin{array}{c}11\\5\end{array}\right]

⇒\left[\begin{array}{c}x\\y\end{array}\right] ={ \left[\begin{array}{c}  {6}\\  {11} \end{array}\right]}

∴ x= 6 and y = 11

The required solution is x = 6 and y = 11

7 0
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