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fomenos
3 years ago
13

What is the value of x in the equation 3- 2x = -1.5х?

Mathematics
2 answers:
Vika [28.1K]3 years ago
6 0

Answer:

x = 6

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define Equation</u>

3 - 2x = -1.5x

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Add 2x on both sides:                    3 = 0.5x
  2. Divide 0.5 on both sides:               6 = x
  3. Rewrite:                                           x = 6

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in<em> x</em>:                    3 - 2(6) = -1.5(6)
  2. Multiply:                               3 - 12 = -9
  3. Subtract:                              -9 = -9

Here we see that -9 does indeed equal -9.

∴ x = 6 is the solution to the equation.

Hatshy [7]3 years ago
6 0

Answer:

x= 6

Step-by-step explanation:

3-2x= -1.5x

-3       -3

-2x= -1.5x - 3

+1.5x   +1.5x

-.5x= -3

divide both sides by -.5

<u>x = 6</u>

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Studentka2010 [4]
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3 years ago
What is the midpoint​
antoniya [11.8K]

<u>Answer:</u>

(0.5, -0.5)

<u>Step-by-step explanation:</u>

We are given a line segment on the graph with two known points (ending points) and we are to find its mid point.

We know the formula for the mid point:

Midpoint = ( \frac {x_1 + x_2} {2} ,\frac {y_1 + y_2} {2} )

Substituting the coordinates of the given points in the above formula:

Mid point = (\frac {5 + (-4) } {2} , \frac { 6 + (-7)} {2} ) = (0.5, -0.5)

8 0
3 years ago
Read 2 more answers
Sharma is building a shed and wants to determine the measurements for the roof. The span of the roof will be 10 feet and she pla
Stolb23 [73]

Answer:

In the figure below :

d = 2.08, e = 5, c = 5.42 , a = 22.78°, b = 67.22°

Step-by-step explanation:

Side lengths :

2\cdot e=10\\ \Rightarrow e=5 feet\\\frac{d}{e}=\frac{5}{12}\\\Rightarrow d=\frac{25}{12}\approx 2.08 feet

By pythagoras theorem,

c^2=d^2+e^2\\c^2=29.33\\c\approx 5.42 feet

Now to find angles,

a+b+90^{\circ}=180^{\circ}\\\Rightarrow a+b=90^{\circ}\\\tan a=\frac{d}{e}\\\Rightarrow \tan a =0.42\\\Rightarrow a=22.78^{\circ}\\\Rightarrow b=67.22^{\circ}



5 0
3 years ago
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marta [7]
I think you mean,

\sum_{i=1}^{\infty}(7i+22)

You can use the usual formula,

S_{k}=\frac{k}{2}(a_1+a_k)

That in this case is,

S_{11}=\frac{11}{2}(29+99)=704

Where I have used,

a_k=7\cdot k +22
3 0
3 years ago
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