1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
hoa [83]
3 years ago
13

-27=x/2-19 solved for x

Mathematics
1 answer:
LekaFEV [45]3 years ago
3 0

Answer:

x = -16

Step-by-step explanation:

Step  1  :

           x

Simplify   —

           2

Equation at the end of step  1  :

         x    

 -27 -  (— -  19)  = 0

         2    

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  2  as the denominator :

         19     19 • 2

   19 =  ——  =  ——————

         1        2  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       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:

x - (19 • 2)     x - 38

————————————  =  ——————

     2             2  

Equation at the end of step  2  :

        (x - 38)

 -27 -  ————————  = 0

           2    

Step  3  :

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  2  as the denominator :

           -27     -27 • 2

    -27 =  ———  =  ———————

            1         2  

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

-27 • 2 - ((x-38))     -x - 16

——————————————————  =  ———————

        2                 2  

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  -x - 16  =   -1 • (x + 16)

Equation at the end of step  4  :

 -x - 16

 ———————  = 0

    2  

Step  5  :

When a fraction equals zero :

5.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 -x-16

 ————— • 2 = 0 • 2

   2  

Now, on the left hand side, the  2  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  -x-16  = 0

Solving a Single Variable Equation :

5.2      Solve  :    -x-16 = 0

Add  16  to both sides of the equation :

                     -x = 16

Multiply both sides of the equation by (-1) :  x = -16

One solution was found :

                  x = -16

Processing ends successfully

plz mark me as brainliest :)

You might be interested in
karas jug contains 2 quarts of apple cider.she fills 8 mugs with cider.each mug can hold six three fourths of fluid ounces.how m
bazaltina [42]
So first of all you need to know that in 1 quart there is 31.9995 ounces so since shes says there is 2 quarts lets do the math:)
31.9995 x 2 = 63.999 ounces 
now she says she took 8 mugs and filled them up each with 6 and 3/4 ounces. lets do the math:)
6 and 3/4 x 8 = 30 ounces
now lets subtract that from our 2 quarts or 63.999 ounces 
63.999 - 30 = 33.999 
so we have 33.999 fluid ounces left in the jar:)
hope this helps lol

8 0
3 years ago
Lauren bikes 1 1/3 miles in 1/1/0 hour. What is her rate of speed in miles per hour?
Amanda [17]

speed = distance / time

1 1/3 = 4/3

so

speed = (4/3) / (1/10)

= (4/3) * 10

= 40/3 mph

or 13 1/3 mph

Hope this helps!

3 0
2 years ago
What is the value of x in the figure?
Bumek [7]

Answer:

29

Step-by-step explanation:

x+61=90

This is because they are complementary angles.

You can tell by the little square in the corner next to them

x=29

4 0
3 years ago
3.) Simplify the expression.
Bogdan [553]

Answer:

Option C) -cosu is correct

Therefore the simplified expression is cos(u+\pi)=-cosu

Step-by-step explanation:

Given expression is cos(u+\pi)

To find the value of the given expression :

By using the formula cos(A+B)=cosAcosB-sinAsinB

Substitute A=u and B=\pi in the above formula we get

cos(u+\pi)=cosucos\pi-sinusin\pi

=cosu(-1)-sinu(0)  ( here cos\pi=-1 and sin\pi=0 )

=-cosu-0

=-cosu

cos(u+\pi)=-cosu

Therefore option C) -cosu is correct

Therefore the simplified expression is cos(u+\pi)=-cosu

6 0
3 years ago
What is 2x plus 21 divided by 2 equals x plus 7?
Anna71 [15]

Answer:

-3.5

Step-by-step explanation:

2x+21/2=x+7

2x + 10.5 = x + 7

-x               -x

x + 10.5 = 7

      -10.5   -10.5

x = -3.5

5 0
3 years ago
Read 2 more answers
Other questions:
  • A piece of paper is cut and then folded into rectangular prism as shown below.
    12·1 answer
  • At a pet store the ratio of cats to dogs sold was 5 : 3. If there were 40 cats that were sold, how many dogs were sold?
    13·1 answer
  • 6ft by 4ft by 12ft by 8ft by 4ft what is the answer
    8·2 answers
  • In a plane, the distinct lines AB and CD intersect at A, where A is between C and D. The measure of BAC is 54 Degrees, what is t
    12·1 answer
  • -0.4a + 3 = 7 <br> a = <br> plz help
    14·1 answer
  • Can someone please help me find the rate of change in this function?
    10·1 answer
  • Nancy buys 2 large pizzas for her brother’s birthday party. The girls eat 7/8 and the boys eat 5/8 Nancy says that 1 1/2 are lef
    7·2 answers
  • Does anyone know what the √2.25 is when rewritten as a fraction?
    7·2 answers
  • Evaluate squareroot of <br> 61.73²-38.27²
    9·1 answer
  • If a || b, m&lt;2=63°, and m&lt;9=105°, find the measure of missing angle m&lt;1=?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!