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Nataliya [291]
3 years ago
12

Solve for x 3x/4 + 3=27

Mathematics
1 answer:
son4ous [18]3 years ago
5 0

Answer:

x=32

Step-by-step explanation:

3x/4+3=27

3x+12=108

x+4=36

x=36-4

x=32

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2. Casey says, "I pick a number.
victus00 [196]

Step-by-step explanation:

7,14,21,28,35,42,49,56,63,70

18,36,54,72,90,108,126,144,162,180

4 0
3 years ago
Solve the system by elimination. <br> -2x+2y+3z=0<br> -2x-y+z=-3<br> 2x+3y+3z=5
KengaRu [80]
-2x + 2y +  3z = 0 → 2x - 2y -   3z = 0 → 2x - 2y - 3z = 0
-2x -   1y +  1z = -3 → 2x + 1y -    1z = 3 → 2x + 1y -  1z = 3
2x +   3y + 3z = 5 →  2x + 3y + 3z = 5            -3y - 2z = -3

-2x + 2y +  3z = 0 → 2x - 2y -   3z = 0
-2x -   1y +  1z = -3 → 2x + 1y -    1z = 3 → 2x + 1y -   1z = 3
2x +   3y + 3z = 5 →  2x + 3y + 3z = 5 → 2x + 3y + 3z = 5
                                                                           -2y - 4z = -2

-3y - 2z = -3 → -6y - 4z = -6
-2y - 4z = -2 → -2y - 4z = -2
                                 -4y = -4
                                  -4     -4
                                     y = 1

  -3y - 2z = -3
-3(1) - 2z = -3
   -3 - 2z = -3
 + 3          + 3
         -2z = 0
          -2    -2
            z = 0

    -2x + 2y + 3z = 0
-2x + 2(1) + 3(0) = 0
       -2x + 2 + 0 = 0
             -2x + 2 = 0
                    - 2  - 2
                    -2x = -2
                     -2     -2
                       x = 1
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8 0
3 years ago
Calculate the area of a triangle with a base of 6 cm and a height of 12 cm
Alex_Xolod [135]

Answer:

36

Step-by-step explanation:

12 x 6 = 72 / 2 = 36 because the area of a triangle is base times height divided by 2

7 0
2 years ago
Read 2 more answers
Henry and 28 classmates are going to the roller skating rink. each van can hold 11 students . If all of the van are full except
lawyer [7]

you divide 29:11= 2 7/11  

so you have 2 full vans and one with 7 students.

so yes the answer is 7

5 0
3 years ago
Read 2 more answers
What is the sum of the roots of the polynomial shown below?<br> f(x) = x^3 + 2x^2 - 11x-12
svp [43]

<u>Answer:  </u>

Sum of the roots of the polynomial x^{3}+2 x^{2}-11 x-12 \text { is }-2

<u>Solution:</u>

The general form of cubic polynomial is a x^{3}+b x^{2}+c x+d=0 ---- (1)

If we have any cubic polynomial a x^{3}+b x^{2}+c x+d=0 having roots \alpha , \beta , \theta

Sum of roots \alpha + \beta + \theta = \frac{-b}{a} ---(2)

From question given that,

x^{3}+2 x^{2}-11 x-12 --- (3)

On comparing equation (1) and (3), we get a = 1, b = 2, c = -11 and d = -12

Hence the sum of roots using eqn 2 is given as,

= \frac{-2}{1}

= -2

Hence the sum of the roots of the polynomial x^{3}+2 x^{2}-11 x-12 \text { is }-2

4 0
3 years ago
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