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
The value of a car is $20,000. It loses 10.7% of its value every year . Find the approximate monthly decrease in value . Round y
jenyasd209 [6]

Answer:

$178.3

Step-by-step explanation:

The value of a car is $20,000

The car loses 10.7% of its value yearly

Since there are 12 months in a year then 10.7% can be represented as

10.7%/12

= 0.8916%

Therefore the approximate monthly decrease in value can be calculated as follows

= $20,000×0.8916/100

= $20,000×0.008916

= $178.3

Hence the approximate monthly decrease in value is $178.3

7 0
3 years ago
924,130 the 2 is the what spot
Elden [556K]

Answer:

10,000th spot

Step-by-step explanation:

6 0
2 years ago
???????????????????????????????????????????????????????????????????????????????????????????????????????????????/
uranmaximum [27]

Answer: 10,000

Step-by-step explanation:

5 0
2 years ago
Earth’s diameter at the equator is 7,926 miles. Find the distance around the Earth at the equator.
Doss [256]

Answer:

24,900 miles

Step-by-step explanation:

Circumference = pi × d

Pi × 7926

24,900.263372352

7 0
3 years ago
In december 1994 a man in ohio decided to deposit all of the 8 million pennies he had been saving for nearly 65 years. (his depo
STatiana [176]
8,000,000 pennies equals $80,000. 1/.05=20
20 x $80,000=$1,600,000 more that the bank was able to lend
☺☺☺☺
6 0
3 years ago
Other questions:
  • X\8=8/18 what does x eaqual
    11·2 answers
  • Please solve and explain how. Photo attached
    9·1 answer
  • PLEASE ANSWER QUICKLY I WILL GIVE BRAINIEST
    6·2 answers
  • Select the equation of the line parallel to the equation 2x + 4y = -5 that passes through the point (-4, -8).
    10·1 answer
  • A pair of shoes costs $52.99 and the state sales tax is 8%. Use the formula C = p + rp to find the total cost of the shoes, wher
    14·1 answer
  • Can y’all help me please
    12·1 answer
  • 2
    14·1 answer
  • Translate the word phrase into a math expression.
    8·1 answer
  • Please help me with these questions.....please...
    6·1 answer
  • Find the 11th term of the arithmetic sequence -2x,-8,-9x,-11,-16x,-14
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!