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
coldgirl [10]
3 years ago
12

What is the value of x in the equation (StartFraction one-half EndFractionx + 12) = StartFraction one-half EndFraction(StartFrac

tion 2 Over 3 EndFraction left-parenthesis StartFraction one-half EndFraction. x plus 12 right-parenthesis equals left-parenthesis StartFraction one-half EndFraction left-parenthesis StartFraction one-third EndFraction x plus 14 right-parenthesis minus 3.x + 14) – 3?
Mathematics
1 answer:
anastassius [24]3 years ago
8 0

Answer:

x =-24

Step-by-step explanation:

Given

(\frac{2}{3})(\frac{1}{2}x + 12) = (\frac{1}{2})(\frac{1}{3}x + 14) - 3

Required

Solve for x

(\frac{2}{3})(\frac{1}{2}x + 12) = (\frac{1}{2})(\frac{1}{3}x + 14) - 3

Open all brackets

\frac{2}{3}*\frac{1}{2}x + \frac{2}{3}*12 = \frac{1}{2}*\frac{1}{3}x + \frac{1}{2}*14 - 3

\frac{2 * 1}{3 *2}x + \frac{2 * 12}{3}= \frac{1 * 1}{2 * 3}x + \frac{1 * 14}{2} - 3

\frac{1}{3}x + \frac{24}{3}= \frac{1}{6}x + \frac{14}{2} - 3

\frac{1}{3}x +8= \frac{1}{6}x + 7 - 3

Collect like terms

\frac{1}{3}x - \frac{1}{6}x =7 - 3 -8

\frac{1}{3}x - \frac{1}{6}x =-4

Solve fraction

\frac{2-1}{6}x =-4

\frac{1}{6}x =-4

Multiply both sides by 6

6 * \frac{1}{6}x =-4 * 6

x =-4 * 6

x =-24

You might be interested in
8y + 4x + 6y=? Plz help
postnew [5]

Answer:

idk, sorry about that one

8 0
3 years ago
Read 2 more answers
10+22+34+...+422=S Help
Damm [24]

Answer:

46

Step-by-step explanation:

Its adding 12 each time

3 0
2 years ago
Given the Venn diagram below, if a student is randomly selected, what is the probability that he or she is attending both colleg
guajiro [1.7K]
Add up all the values shown:
64+28+52+56 = 200

This result indicates that there are 200 students total.

Of these 200 total people, there are 28 who are attending both colleges. This is the value shown in the overlapping region of the two circles. 

Divide the two values (28 and 200) to get...
28/200 = 0.14 = 14%

The probability as a decimal value is 0.14 which is saying there's a 14% chance of picking someone who goes to both colleges.
3 0
3 years ago
Read 2 more answers
A town has a population of 5000 and grows at 4% every year. To the nearest year, how long will it be until the population will r
Rus_ich [418]

Answer:

About 21.457 years

Step-by-step explanation:

You can solve this by setting up a simple equation.

5000\cdot 1.04^x \geq 11600

1.04^x \geq 2.32

log base 1.04 2.32=x

x\approx 21.457 years

Hope this helps!

8 0
3 years ago
Quincy is going on a vacation to Australia. His flight leaves at 9:50 A.M. It takes 20 minutes to get to the airport, and Quincy
ikadub [295]

If it takes 20 minute to get to the airport, and he wants to be there an hour and 5 minutes before his flight leaves, we have to subtract the time he leaves (9:50) by 1 hour and 5.

9:50 - 1 hour and 5 minutes.

9:50 - 65 minutes.

9:50 - 65 = 8:45.

Which means he must be at the airport at 8:45.

BUT,

The question is asking for the latest time that Quincy can LEAVE for the airport, which means it's 8:45 - 20 minutes, since it takes 20 minutes to get to the airport:

8:45 - 20 = 8:25

4 0
3 years ago
Read 2 more answers
Other questions:
  • Connie started with___<br> in her saving account<br><br><br> Fill in the blank
    12·2 answers
  • Clabber company has bonds outstanding with a par value of $100,000 and a carrying value of $97,300. if the company calls these b
    7·1 answer
  • X<br> Which of the angle pairs can be classified as vertical angles?
    8·2 answers
  • Factor -1/2 out of -1/2 X +6=?
    8·1 answer
  • James flies a small airplane for a delivery service. The plane can carry a maximum of 1,500 pounds.
    13·1 answer
  • What is 243.275 in expanded form​
    12·2 answers
  • tom and jane want to build a round swimming pool in their backyard that is 20 feet across . how many square feet will the pool b
    15·1 answer
  • Simplify the expression:<br> -1 + -1 + -3h + -8h
    7·1 answer
  • Does 1/2^3 equal to 2^-3<br><br> HURRY PLEASE
    11·1 answer
  • If the angle is in standard position and P(x, y) is a point on the terminal side of , and r is the distance from the origin to P
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!