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babunello [35]
2 years ago
7

What is the value of x in this equation? 2x – 12 = -52

Mathematics
2 answers:
hodyreva [135]2 years ago
8 0

Answer:

2x - 12 =  - 52 \\ 2x =  - 52 + 12 \\ 2x =  - 40 \\ \boxed{x =  - 20}

<h3>-20 is the right answer.</h3>
Scrat [10]2 years ago
5 0

Answer:

x = -20

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

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

Step-by-step explanation:

<u>Step 1: Define</u>

2x - 12 = -52

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

  1. Add 12 on both sides:                     2x = -40
  2. Divide 2 on both sides:                   x = -20

<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>:                      2(-20) - 12 = -52
  2. Multiply:                                 -40 - 12 = -52
  3. Subtract:                                -52 = -52

Here we see that -52 does indeed equal -52.

∴ x = -20 is the solution to the equation.

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Point D is located on MN at (2,43). What ratio relates MD to DN?
Eva8 [605]

The ratio of MD to DN is equal to 2.

<h3>How to find the partition ratio for a line segment</h3>

In accordance with the image set aside, the locations of the points M and N are M(x, y) = (- 6, - 4) and N(x, y) = (6, 4), respectively. Now we determine the vectors associated to line segments MD and DN by vector sum:

<u>MD</u> = D(x, y) - M(x, y)

<u>MD</u> = (2, 4 / 3) - (- 6, - 4)

<u>MD</u> = (8, 16 / 3)

<u>DN</u> = N(x, y) - D(x, y)

<u>DN</u> = (6, 4) - (2, 4 / 3)

<u>DN</u> = (4, 8 / 3)

Lastly, we find the length of each line segment by Pythagorean theorem:

MD = √[8² + (16 / 3)²]

MD = (8 / 3)√13

DN = √[4² + (8 / 3)²]

DN = (4 / 3)√13

And the ratio of MD to DN is:

MD / DN = [(8 / 3)√13] / [(4 / 3)√13]

MD / DN = 2

The ratio of MD to DN is equal to 2.

<h3>Remark</h3>

The statement presents typing mistakes, we kindly present the correct form below:

<em>Point D is located on line segment MN at (2, 4 / 3). What ratio relates MD to DN?</em>

To learn more on line ratios: brainly.com/question/3148758

#SPJ1

4 0
1 year ago
2.5 kg of potatoes cost £1.40<br> Work out the cost of 4.25 kg of potatoes.<br> 5.95
kvasek [131]

Answer:

£2.38

Step-by-step explanation:

Write and solve an equation of ratios:

 £1.40       2.5 kg

----------- = ------------

     c          4.25 kg

Cross multiplying, we get:

(£1.40)(4.25 kg) = (2.5 kg*c), or

       (£1.40)(4.25 kg)

c = -------------------------- =  £2.38

             2.5 kg

4 0
3 years ago
Evaluate f(x)=-4x-5 for x = -1
Lubov Fominskaja [6]
F(x)=-4(-1)-5 
f(x)=4-5
f(x)= -1
-1 is your answer 
5 0
3 years ago
The price of bananas can be determined by the equation P=0.25n, where P is the price and n is the number of bananas. What is the
Lera25 [3.4K]

Given:

The price of bananas can be determined by the equation P=0.25n, where P is the price and n is the number of bananas.

To find:

The constant of proportionality

Solution:

We have,

P=0.25n       ...(i)

where P is the price and n is the number of bananas.

Price P is directly proportional to the number of bananas. So,

P\propto n

P=kn            ...(ii)

Where, k is the constant of proportionality.

On comparing (i) and (ii), we get

k=0.25

Therefore, the constant of proportionality is 0.25.

8 0
3 years ago
Which number line shows the estimate of square root of 47 in the correct interval of integers
mr_godi [17]

Answer:

B

Step-by-step explanation:

Because yes

8 0
3 years ago
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