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
zheka24 [161]
3 years ago
8

What is the solution to the equation 1/3 (x - 2) = 1/5 (x + 4) + 2?

Mathematics
2 answers:
allsm [11]3 years ago
6 0
The solution is x=26
VladimirAG [237]3 years ago
5 0

Answer:

The solution is x = 26

Step-by-step explanation:

Here, the given equation is,

\frac{1}{3}(x-2)=\frac{1}{5}(x+4)+2

Add fractions on right side,

\frac{1}{3}(x-2)=\frac{x+4+10}{5}

By cross multiplication,

5(x-2)=3(x+14)

By distributive property,

5x-10=3x+42

Adding 10 on both sides,

5x=3x+52

Subtract 3x on both sides,

2x=52

Divide both sides by 2,

x=26

Which is the required solution,

Last option is correct.

You might be interested in
Nx-5= -0.4<br> What is N?
denis-greek [22]

Answer:

\large\boxed{n=\dfrac{4.6}{x}}

Step-by-step explanation:

nx-5=-0.4\qquad\text{add 5 to both sides}\\\\nx-5+5=-0.4+5\\\\nx=4.6\qquad\text{divide both sides by}\ x\neq0\\\\\dfrac{nx}{x}=\dfrac{4.6}{x}\\\\n=\dfrac{4.6}{x}

6 0
3 years ago
Read 2 more answers
286 mi in 5 1/2 hours as a unit rate
MA_775_DIABLO [31]
286 ÷ 5 1/2 hours = 286 ÷ 5.5 = 52 final answer
8 0
3 years ago
Santo made 4 less than twice as many cupcakes as Lynn. Write an equation to represent the number of cupcakes that Santo made.
pickupchik [31]

Santo made 4 less than twice as many cupcakes as Lynn.


x * 2 - 4

5 0
3 years ago
Use the law of Sines to find the missing angle of the triangle. <br> Find m
Whitepunk [10]
Ah...Trigonometry is fun!

The law of sines states:
\frac{sinA}{a}= \frac{sinB}{b} = \frac{sinC}{c}
The transitive property (switching the orders of the equations) applies here. Therfore, we can say that \frac{sinA}{a}=\frac{sinC}{c}

We then plug in our given values to find C

\frac{sin24}{77}=\frac{sinC}{162}
\frac{162*sin24}{77}=sinC
Solving, we get 0.8557316387. We're not done yet!

We are trying to find an angle measure, so we'll do the inverse of the ratio we used (sin).

arcsin0.8557316387 (arcsin is the same as inverse sin)
=58.8 (approximate)

So the measure of angle C is 58.8. You could check this by reinserting it into the equation \frac{sinA}{a}= \frac{sinB}{b} = \frac{sinC}{c}.

:)
6 0
3 years ago
Please help <br> !!!!!!!!!!!!!!!!
Eduardwww [97]

Answer:

6 in 2.

Step-by-step explanation:

Area =  √s(s-a)(s-b)(s-c)

=  √6×(6 - 4)×(6 - 3)×(6 - 5)

=  6 inches 2.

7 0
3 years ago
Read 2 more answers
Other questions:
  • Solve the system of linear equations using any method 6x+6y=-6, 5x+y=-13
    5·2 answers
  • Simplify the radical <br> √3c^2 / √27<br> show all steps.
    8·1 answer
  • (1,2)<br>  <br> with a slope of−4/5
    11·1 answer
  • I would appreciate it v much if someone would help me out with this
    5·1 answer
  • What would be the answer for number 3?
    14·2 answers
  • three out of four students in school have a least one sibling. If there are 300 students in your school, how many would have a l
    7·1 answer
  • PLEASE HELP OMGGGGGG TYSMM
    13·2 answers
  • Does 2 feet and 1 inch add up too 3 feet
    8·2 answers
  • Which is the better buy? Explain.
    10·2 answers
  • Pls help im in dire need cause bainly doesnt got this yet
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!