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
Juli2301 [7.4K]
3 years ago
14

What is the solution to the equation One-half x + 3 = two-thirds x + 1? One-third Two-thirds 2 12

Mathematics
2 answers:
AnnZ [28]3 years ago
5 0

Answer:x = 12

Step-by-step explanation:

The equation One-half x + 3 = two-thirds x + 1 is expressed as

x/2 + 3 = 2x/3 + 1

The first step would be to to find the lowest common multiple of the left hand side of the equation and the right hand side of the equation and multiply the left hand side of the equation and the right hand side of the equation by the lowest common multiple. The lowest common multiple is 6. Therefore,

x/2 × 6 + 3 × 6 = 2x/3 × 6 + 1 × 6

3x + 18 = 4x + 6

4x + 6 = 3x + 18

Subtracting 3x and 6 from the left hand side of the equation and the right hand side of the equation, it becomes

4x - 3x + 6 - 6 = 3x - 3x + 18 - 6

x = 12

Levart [38]3 years ago
5 0

Answer:

add 2Step-by-step explanation:

You might be interested in
janet and sam both have new jobs. Janet makes $8 every 1/2 hour. Sam makes $5 every 1/3 of an hour. Who would have made more mon
Ksivusya [100]
Janet earns more money because she gets paid $8 every 30minutes and in other words is that per hour she gets paid $16.  Whereas Sam gets paid $15 every hour. The amount paid at the start determines who gets more
4 0
3 years ago
Find the indefinite integral. (use c for the constant of integration.) sin xcos5 x dx
Alik [6]
:) Well, I dunno about anyone else but this question makes my head spin!

6 0
3 years ago
Round 17.62114537 to the nearest tenth
harina [27]

Answer:

17.6

Step-by-step explanation:  Rounded to the nearest 0.1 or

the Tenths Place.

7 0
4 years ago
The sum of the digits of a two-digit number is 5. If the number is multiplied by 3, the result is 42. Write and solve a system o
Elenna [48]
A two digit number has a tens digit and a ones digit.
Let's say x = tens digit and y = ones digit

"The sum of the digits is 5"
x + y = 5

The next phrase is "the number multiplied by 3 is 42" but we need to represent the number using the digits. So they need to be multiplied first by their place value and added together. [Example: 34 = 3(10) + 4(1)]

The number is: 10x + y
3(10x + y) = 42

The system of equations: (two equations for two unknowns)
x + y = 5
30x + 3y = 42

Then you can use substitution or elimination to combine and solve.
I'll use elimination, multiply the entire top equation by -3 and add the equations together. y will cancel out

-3x - 3y = -15
30x + 3y = 42
------------------
27x + 0 = 27
x = 1

then plug x = 1 into either equation to find y

1 + y = 5
y = 4

remember the x and y represent digits so the number xy is 14
6 0
4 years ago
Is 3 1/2 cups more or less than 1 liter? Note: 1 cup is about 236.6 milliliters
Evgesh-ka [11]
Less by far because 3.5 cups would be less than half

6 0
4 years ago
Read 2 more answers
Other questions:
  • write an algebraic equation to represent" four less than seven times a number is five more than twice the number"
    6·1 answer
  • What is the ratio of 28 gallons to 56 gallons
    7·2 answers
  • Solve by completing the square <br><br> 6x-x^2-7
    6·2 answers
  • A sphere has a radius of 3 centimeters what is the volume of the sphere ????
    9·2 answers
  • DOES ANYONE KNOW HOW TO DO THIS????????
    14·1 answer
  • Write the ratio as a fraction in simplest form. 9 ft to 6 yd
    6·1 answer
  • Can someone help explain this to me? I’d appreciate it a lot.
    10·1 answer
  • Frank drove from New York City to Los Angeles. The distance between the two cities is 2,760 miles. After 16 hours, he still had
    5·1 answer
  • Please could someone help me understand this? thank you
    7·1 answer
  • Type the correct question of the line
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!