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
Factor this expression completely.
Orlov [11]

Answer:

A

Step-by-step explanation:

5 and 7 are both common factors of 35 and 40

Looking at the options you can eliminate C and D right away because 7 times 8 = 56 and not 40 like the problem is asking.

This leaves A and B. Looking at the equation the difference between the two are the + and -

Using the original equation (35x-40) as reference we see that it subtracts the two variables. Therefore leaving A as the answer

5 0
3 years ago
Determine whether the following statement is true or false. If false, provide a counterexample. If two events are independent, t
Jet001 [13]

Answer:

TRue

Step-by-step explanation:

3 0
2 years ago
Factor completely and then place the factors in the proper location on the grid. 81a2 + 36a + 4
gizmo_the_mogwai [7]
They are all perfect squares
(9x+2)(9x+20
(9x+2)^2
6 0
3 years ago
Read 2 more answers
Compute 33(0.5) - 6(0.5) - 7/2.
lora16 [44]
Hi there! The answer is 10.

33(0.5) - 6(0.5) -  \frac{7}{2}
We can use PEMDAS (Parenthesis, exponents, multiply, divide, add, subtract) to find our answer.

Since we cannot work inside the parenthesis in this question and since we don't have exponents, we can move on to multiplying.
16.5 - 3 -  \frac{7}{2}

Our next step would be subtracting. To make the process of subtracting some easier, I'll first change the fraction into a decimal.
16.5 - 3 - 3.5

Finally subtract.
13.5 - 3.5 = 10

The answer is 10.
~ Hope this helps you!
5 0
3 years ago
Read 2 more answers
hey does any gi_rl want to come onto this ch_at with me and then we can show each other some things?​
VladimirAG [237]

Answer:

Respect Girls!

Don't Post Unwanted things.

I know u r from India.

In Indian Server it is common.

4 0
2 years ago
Read 2 more answers
Other questions:
  • There are three letter tiles—A, B, and C—in a bag; and there are three number tiles—1, 2, and 3—in another bag. Alexis picks a l
    7·1 answer
  • Ralph bought a computer monitor with an area of 384 square inches. The length of the monitor is six times the quantity of five l
    11·1 answer
  • Multiple similarity transformations are performed on a triangle. Which elements must be preserved? orientation side length angle
    15·2 answers
  • Find m ∠TUL<br> m∠TUV=167<br> m∠TUL=(x+11)<br> m∠LUV=(11x)
    15·2 answers
  • What is twenty divided by two plus ten
    6·1 answer
  • A batch of 50 parts contains six defects. If two parts are drawn randomly one at a time without replacement, what is the probabi
    14·1 answer
  • 5x/7-5=50 plsssssssssss noBOTS
    6·2 answers
  • Write two numbers that have the given absolute value.<br><br> 22
    15·1 answer
  • What is the slope for (-11, 1) and (-2, 6)?
    10·2 answers
  • 5. The perimeter of a room is measured and found
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!