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
maksim [4K]
3 years ago
12

2/3 of the sum of three times a number and six is 10. what is the number?

Mathematics
2 answers:
sammy [17]3 years ago
7 0

Answer:

x=3

Step-by-step explanation:

Write the equation first, 2/3(3x+6)=10

Distribute 2,  2(3x+6)/2

Which equals 6x+12/3=10

Then multiply 3 from both sides 6x+12=30

Subtract 12

6x=18

Divide 6 from both sides

x=3

mestny [16]3 years ago
3 0

9514 1404 393

Answer:

  3

Step-by-step explanation:

Let x represent the number. The problem statement tells you ...

2/3(3x +6) = 10

  2x +4 = 10 . . . . . . use the distributive property

  x +2 = 5 . . . . . . . . divide by 2

  x = 3 . . . . . . . . . . .subtract 3

The number is 3.

__

<em>Comment on the solution</em>

The above shows an "alternative" solution method. The more usual way this might be done is ...

  2(3x +6) = 30 . . . . . multiply by 3 to clear fractions

  6x +12 = 30 . . . . . . . eliminate parentheses

  6x = 18 . . . . . . . . . . . subtract 12

  x = 3 . . . . . . . . . . . . divide by 6

You might be interested in
I need help please Right now if you could!!
11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

Step 2:       2.8z - 3.4z - 7.2 + 6.6

Step 3:       -0.6z - 0.6

-7 (-15w + 21) + 3(18 - 27w)

step 1: 105w - 147 + 54 - 81w

5 0
3 years ago
Find out what make 30 with only the number 1,3,5,7,9,11,13,15
Mrrafil [7]

Answer:

Step-by-step explanation:

7 + 3 + 5 + 15 = 30

6 0
3 years ago
Read 2 more answers
If you decided to build a ramp using the 1:16 slope - ratio requirement , what would be the length of the diagonal portion of th
oee [108]
I spent a lil time on it but I’ll let you know in a lil but if I have the answer:)
4 0
2 years ago
Read 2 more answers
Pe o piatră stau la soare 3 șopârle. pe o altă piatră stau de două ori mai multe șopârle. Câte șopârle stau la soare pe a doua p
Elodia [21]

Answer:

hola so the answer is B 1 plus 1 is 2

7 0
2 years ago
Find the distance from A to C
Vedmedyk [2.9K]

Answer: 11 because the distance between A-B is 8 so because it says it on top, then add 3 to it from B to C

5 0
3 years ago
Other questions:
  • What is 2.4 rounded to the nearest hundredth?
    5·2 answers
  • Translate: Thirty less a number is equal to the product of 2 and the sum of the number and 6
    5·2 answers
  • MATH HELP !!!!!!! :)
    8·1 answer
  • Find the volume of the prism. <br> 13ft 7ft
    6·1 answer
  • Solve 14x + 10 &gt; 9x+ 15.
    14·1 answer
  • 1,620 to the nearest ten ? Please don't answer if you know your wrong !
    5·1 answer
  • What is the rate of change of the line that passes through the points (-3,-4) and (5,10)?
    9·1 answer
  • −8<br><br> ≥ -5 ???????????????????????????
    15·2 answers
  • Kyle saves 8% of his income for a new car. This year his salary was $2,000 less than in the previous year, and he saved $3,000.
    6·1 answer
  • Why is x = y^2- 9 not a function ?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!