How to multiply a mixfraction by a whole number

In a right triangle, the tangent of an angle is the length of the opposite side divided by the length of the adjacent side.

therefore your answer is:

Answer:

60

See steps

Step by Step Solution:

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Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.7" was replaced by "(27/10)". 8 more similar replacement(s)

STEP

1

:

          27

Simplify   ——

          10

Equation at the end of step

1

:

   27 62   93 12    62 93    12 27

(((——•——)-(——•——))+(——•——))-(——•——)

   10 10   10 10    10 10    10 10

STEP

2

:

          6

Simplify   —

          5

Equation at the end of step

2

:

   27 62   93 12    62 93    6 27

(((——•——)-(——•——))+(——•——))-(—•——)

   10 10   10 10    10 10    5 10

STEP

3

:

          93

Simplify   ——

          10

Equation at the end of step

3

:

   27 62   93 12    62 93   81

(((——•——)-(——•——))+(——•——))-——

   10 10   10 10    10 10   25

STEP

4

:

          31

Simplify   ——

          5

Equation at the end of step

4

:

   27 62   93 12    31 93   81

(((——•——)-(——•——))+(——•——))-——

   10 10   10 10    5  10   25

STEP

5

:

          6

Simplify   —

          5

Equation at the end of step

5

:

   27 62   93 6   2883  81

(((——•——)-(——•—))+————)-——

   10 10   10 5    50   25

STEP

6

:

          93

Simplify   ——

          10

Equation at the end of step

6

:

   27 62   93 6   2883  81

(((——•——)-(——•—))+————)-——

   10 10   10 5    50   25

STEP

7

:

          31

Simplify   ——

          5

Equation at the end of step

7

:

   27   31     279     2883     81

(((—— • ——) -  ———) +  ————) -  ——

   10   5      25       50      25

STEP

8

:

          27

Simplify   ——

          10

Equation at the end of step

8

:

   27   31     279     2883     81

(((—— • ——) -  ———) +  ————) -  ——

   10   5      25       50      25

STEP

9

:

Calculating the Least Common Multiple

9.1    Find the Least Common Multiple

    The left denominator is :       50

    The right denominator is :       25

      Number of times each prime factor

      appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

2 1 0 1

5 2 2 2

Product of all

Prime Factors  50 25 50

    Least Common Multiple:

    50

Calculating Multipliers :

9.2    Calculate multipliers for the two fractions

  Denote the Least Common Multiple by  L.C.M

  Denote the Left Multiplier by  Left_M

  Denote the Right Multiplier by  Right_M

  Denote the Left Deniminator by  L_Deno

  Denote the Right Multiplier by  R_Deno

 Left_M = L.C.M / L_Deno = 1

 Right_M = L.C.M / R_Deno = 2

Making Equivalent Fractions :

9.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

 L. Mult. • L. Num.      837

 ——————————————————  =   ———

       L.C.M             50

 R. Mult. • R. Num.      279 • 2

 ——————————————————  =   ———————

       L.C.M               50  

Adding fractions that have a common denominator :

9.4       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

837 - (279 • 2)     279

———————————————  =  ———

     50            50

Equation at the end of step

9

:

 279    2883     81

(——— +  ————) -  ——

 50      50      25

STEP

10

:

Adding fractions which have a common denominator

10.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

279 + 2883     1581

——————————  =  ————

   50          25

Equation at the end of step

10

:

1581    81

———— -  ——

25     25

STEP

11

:

Adding fractions which have a common denominator

11.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

1581 - (81)     60

———————————  =  ——

   25          1

Final result :

60

Answer:

2222222222

Step-by-step explanation:

The solution is, the number is,  x < 12

What is number?

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

here, we have,

A number would be:- x

Less than is >

x < 12

Hence, the number is : x < 12

To learn more on number click:

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Answer:

-4

Step-by-step explanation:

Simplifying

5 + 3x = 7(x + 3)

Reorder the terms:

5 + 3x = 7(3 + x)

5 + 3x = (3 * 7 + x * 7)

5 + 3x = (21 + 7x)

Solving

5 + 3x = 21 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.

5 + 3x + -7x = 21 + 7x + -7x

Combine like terms: 3x + -7x = -4x

5 + -4x = 21 + 7x + -7x

Combine like terms: 7x + -7x = 0

5 + -4x = 21 + 0

5 + -4x = 21

Add '-5' to each side of the equation.

5 + -5 + -4x = 21 + -5

Combine like terms: 5 + -5 = 0

0 + -4x = 21 + -5

-4x = 21 + -5

Combine like terms: 21 + -5 = 16

-4x = 16

Divide each side by '-4'.

x = -4

Simplifying

x = -4

A≈2.46×10-3m²Istheanswer