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Irina-Kira [14]
3 years ago
13

To isolate the variable in the equation -3x - 9 = -27, the first step is to add 9 to both sides. This gives you -3x = -18. What

is the next step to isolate the variable?
 A.+ 18  B.18  C. -3  D.+ 3x
Mathematics
2 answers:
drek231 [11]3 years ago
7 0
Divide both sides of the equation by -3, which gives you x=6.
Vinvika [58]3 years ago
7 0
-3x-9=-27
Add 9 to both side
-3x-9+9=-27+9
-3x=-18
divided -3 to each side
-3x/-3=-18/-3
x=6
Check:
-3x-9=-27
substitute x with 6
-3(6)-9=-27
-18-9=-27
-27=-27. As a result, the next step to isolate the variable is divided -3 to both side. Hope it help!
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What is the gcf of 54, 72 and 108
AfilCa [17]

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{18}}}}}

Step-by-step explanation:

The GCF of any numbers can be obtained by using two methods. They are :

  • Prime factorization method
  • Division method

Now, I am going to find out the GCF of 54 , 72 and 108 using these both methods :

<u>Let's </u><u>find </u><u>out </u><u>using </u><u>the </u><u>prime </u><u>factorization</u><u> </u><u>method</u>

First of all , find the prime factor of each numbers

54 = 2 × 3 × 3 × 3

72 = 2 × 2 × 2 × 3 × 3

108 = 2 × 2 × 3 × 3 × 3

Take out the common prime factors of given numbers

Common prime factors = 2 , 3 and 3

Multiply those common prime factors and the number obtained is G.C.F

GCF = <u>Common </u><u>prime </u><u>factors</u>

= 2 × 3 × 3

= 18

-----------------------------------------------------------

<u>Now,</u><u>let's </u><u>find </u><u>out </u><u>using </u><u>another </u><u>method </u><u>i.e </u><u>division </u><u>method</u>

Steps for finding G.C.F by using division method:

Step 1 : Divide the larger number by smaller one.

Step 2 : In case of remaining remainder, divide the first division by that remainder.

Step 3 : Again if remainder leaves, divide the second divisor by the remainder.

Step 4 : Repeat the process until the remainder becomes the zero. So , that the last divisor is the G.C.F

( See attached picture )

Hope I helped!

Best regards!!

4 0
3 years ago
Find the values of x and y in these equations. (x + yi) + (4 + 6i) = 7 − 2i (equation A) (x + yi) − (-8 + 11i) = 5 + 9i (equatio
myrzilka [38]

Answer:

1. Equation A:

Solving for x: x=3-yi-8i

Solving for y: y=-3i+xi-8

2. Equation B:

Solving for x: x=-3-yi+20i

Solving for y: y=3i+xi+20

I hope this helped! :)

3 0
4 years ago
Read 2 more answers
What is the solution set of x^2=3x+28
Masteriza [31]

Answer:

Factor and set each factor equal to zero.

x=7,−4

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

7 0
3 years ago
A square has an area of 90 square inches. The formula for the area A of a square with side length L is A = L^2. Find the length
Dovator [93]

Answer:

Step-by-step explanation:

6 0
3 years ago
10000(1+.5÷60)^(60)(5)​
Marrrta [24]

Step-by-step explanation:

hope this helps answer is at bottom.  :)

Changes made to your input should not affect the solution:

(1): "t0"   was replaced by   "t^0".  

STEP

1  

:

           dot5

Simplify   ————

            12  

Equation at the end of step

1  

:

                (dot5)

 10000 • ((1 +  ——————)60)

                  12  

STEP

2  

:

Rewriting the whole as an Equivalent Fraction :

2.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  12  as the denominator :

         1     1 • 12

    1 =  —  =  ——————

         1       12  

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:

12 + dot5     dot5 + 12

—————————  =  —————————

   12            12    

Equation at the end of step

2  

:

          (dot5 + 12)

 10000 • (———————————)60)

              12      

STEP

3  

:

3.1     12 = 22•3

(12)60 = (22•3)60 = 2120 • 360

Equation at the end of step

3  

:

         (dot5 + 12)60

 10000 • —————————————

          (2120•360)  

STEP

4  

:

Dividing exponents :

4.1    24   divided by   2120   = 2(4 - 120) = 2(-116) = 1/2116

Final result :

 625 • (dot5 + 12)60

 ———————————————————

     (2116•360)    

8 0
4 years ago
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