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puteri [66]
2 years ago
5

10÷7(19+28)×20÷6=???​

Mathematics
1 answer:
Snezhnost [94]2 years ago
6 0

Answer:

109 2/3

Step-by-step explanation:

10 / 7(47) x 20 / 6 =

10 / 329 x 20 / 6 =

32.9 x 20 / 6 =

658 / 6 =

109 2/3

Hope that helps!

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if the product of 4 and a number is decreased by 12, the result is twice the opposite of the number. Find the number. EXPLAIN PL
ELEN [110]
Answer:  The number is:  "2 " .
__________________________________________
Explanation:
__________________________________________
Write the expression; which is an equation, as follows:
__________________________________________
     " 4x <span>− 12 = 2(-x) " ;  in which "x" represents "the number for which we shall                                       solve" .
___________________________________________
Note:  

If the "number" = "x" ;  the "opposite of the number"  =  " -x " ;
</span>___________________________________________
Rewrite as:  " 4x <span>− 12 = -2x " ;
</span>_____________________________________________
     →  Add "12" ; & add "2x" ; to EACH SIDE of the equation:

                      4x − 12 + 12 + 2x = -2x + 12 + 2x ;

           to get:    6x  = 12  ;
____________________________________________________
 Now, divide each side of the equation by "6" ; 
     to isolate "x" on one side of the equation; & to solve for "x" ;
____________________________________________________
                         6x / 6  =  12 / 6 ;

                    to get:    x = 2 .
____________________________________________________
Answer:  The number is:  "2 " .
____________________________________________________
Let us check our answer, by plugging in "2" for "x" in our original equation:
_____________________________________________________
        →   " 4x − 12 = 2(-x) " ;

  Let us plug in "2" for "x" ; to see if the equation holds true; that is; if both side of the equation are equal; when "x = 2" ;

        →   " 4(2) − 12 = ?  2(-2) ?? 

        →    8 − 12 = ?  -4 ? ;
 
        →    -4 = ? -4 ??  Yes!
 __________________________________________________    
6 0
3 years ago
if j is 21 inches, k is 12 inches, and angle M measures 62 degrees, then find m using the Law is Cosines. round your answer to t
AURORKA [14]

Answer:

18.7

Step-by-step explanation:

The Law of Cosines is c^2=a^2+b^2-2ab cos(C), where c is the unknown side length of a triangle, a and b are the remaining two side lengths, and C is the angle opposite to side c. To answer this question just plug in the known values:

m^2=21^2+12^2-2(21)(12) cos(62)

Simplify:

m^2=441+144-504 cos(62)

m^2=585-504 cos(62)

m=\sqrt{585-504cos(62)}

m≈18.665...

When rounded to the nearest tenth, m=18.7

6 0
2 years ago
Original price of a soda: $800 tax 7% selling price: $
Kobotan [32]

Answer:

$856

Step-by-step explanation:

Find 7% of $800 and then add it to $800

3 0
3 years ago
Your friend, Susannah, manages a sandwich shop. She collects data on the number of turkey sandwiches sold per day for a week. Ex
ExtremeBDS [4]

Susannah's data are illustration of measure of central tendencies

<u>(a) The mean</u>

To calculate the mean, she needs to divide the total number of turkey sandwiches sold, by the number of days.

The total is:

\mathbf{Total = 73 +88+85+88+99+134+129}

\mathbf{Total = 696}

The number of days is:

\mathbf{Day = 7}

So, the mean is:

\mathbf{Mean =\frac{Total}{Days}}

\mathbf{Mean =\frac{696}{7}}

\mathbf{Mean =99.4}

Hence, the mean number of turkey sandwiches sold is 99.4

<u>(b) The median</u>

To calculate the median, she needs to arrange the data in ascending or descending order, then select the middle item.

In ascending order, we have: 73, 85, 88, 88, 99, 129, 134

The middle item is 88

So:

\mathbf{Median = 88}

Hence, the median number of turkey sandwiches sold is 88

<u>(c) The mode</u>

This is the data that occurs most.

From the dataset, 88 appears twice (more than others).

So:

\mathbf{Mode = 88}

Hence, the mode number of turkey sandwiches sold is 88

<u>(d) The range</u>

This is the difference between the highest and least data

From the dataset,

The highest is 134, and the least is 73

So:

\mathbf{Range =134 - 73}

\mathbf{Range =61}

Hence, the range of turkey sandwiches sold is 61

The measure that would be most helpful is the median, because it is not affected by outliers.

Read more about measures of central tendencies at:

brainly.com/question/5495004

6 0
2 years ago
Evaluate this fraction 7 2/3 x 10 1/2
Slav-nsk [51]
The answer is 34 1/2
6 0
3 years ago
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