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
SVETLANKA909090 [29]
3 years ago
14

What is the solution to 0.4(12 – 3x) = 0.3(12x – 16)?

Mathematics
1 answer:
TiliK225 [7]3 years ago
8 0

Answer:

x = 2

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>

0.4(12 - 3x) = 0.3(12x - 16)

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

  1. Distribute:                                4.8 - 1.2x = 3.6x - 4.8
  2. Add 1.2x on both sides:          4.8 = 4.8x - 4.8
  3. Add 4.8 on both sides:           9.6 = 4.8x
  4. Divide 4.8 on both sides:       2 = x
  5. Rewrite:                                   x = 2
You might be interested in
If a/\2+1/a/\2=11, then a+1/a=?
Nadya [2.5K]

Answer:

\pm \sqrt{13}

Step-by-step explanation:

\bigg(a +  \frac{1}{a}  \bigg)^{2} =  {a}^{2}   +  \frac{1}{ {a}^{2} }  + 2 \times a \times  \frac{1}{a}  \\  \\ \bigg(a +  \frac{1}{a}  \bigg)^{2} = 11 + 2 \\  \\   \bigg(a +  \frac{1}{a}  \bigg)^{2} = 13 \\  \\  \bigg(a +  \frac{1}{a}  \bigg) =  \pm \sqrt{13}

5 0
3 years ago
The unit digit of a two digit number is one less than the ten digit number. If the number is increase by 8 and then divided by t
Colt1911 [192]

The tens digit is 3; the units digit is 3-1 = 2; and the number itself is 32.

<em>Lets simplify the problem,</em>

Let assume  the "tens" digit be x

Then the "units" difference =  (x-1), according to the condition.

Hence, the number itself is N = 10x + (x-1).

Then the number N+8 is 10x + (x-1) + 8 = 10x + x + 7 = 11x + 7.

From the last statement of the problem, we have this equation

N+8 = 8*(x+y),or11x + 7 = 8*(x+(x-1)).

Simplify and find "x"

11x + 7 = 8*(2x-1)11x + 7 = 16x - 87 + 8 = 16x - 11x15 = 5xx = 15/5 = 3.

Thus the tens digit is 3; the units digit is 3-1 = 2; and the number itself is 32.

Learn more about UNIT Problems on:

brainly.com/question/12253743

#SPJ4

6 0
2 years ago
Please help me answer this question?
zalisa [80]

Answer:

2+2

Step-by-step explanation:

2 + 4!

3-5

3_4

3-6

2-5

2+5

2_3

2-5

7 0
2 years ago
Read 2 more answers
What number times 3 is 18?
kobusy [5.1K]

Answer: 6

Step-by-step explanation:

6+6=12 12+6=18 thus 6 times 3 is 18

7 0
3 years ago
Read 2 more answers
3b – 7 &lt; 32 I don't know the answer help !!
Nuetrik [128]
If your solving for B then its B<43/3
7 0
3 years ago
Read 2 more answers
Other questions:
  • P=-40q+163, what is the relationship between p and q?
    13·1 answer
  • What is 2 divided by 38
    9·2 answers
  • What is the answer to 5 - 2x = 12
    8·2 answers
  • The heights of a group of boys and girls at a local middle school are shown on the dot plots below.
    5·2 answers
  • denise is putting a fence around her garden.The total perimeter of the garden is 14 feet,with the length measuring 3 feet.What i
    15·1 answer
  • Carmen likes to ski. The ski resort where she goes to ski got 3.2 feet of snow during a 5 day period. The average daily snowfall
    12·1 answer
  • -14=x+12 solve for x
    8·2 answers
  • Write a newspaper article using all of these words and definitions Cone, Perfect Square, Side, and Width.
    10·1 answer
  • Abag contain 3 red ,5 black and 4 white marbles. one marble is drawn at random. what is the probablity not black marble​
    6·1 answer
  • Question 6(Multiple Choice Worth 1 points)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!