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
lyudmila [28]
3 years ago
9

Solve for x: 6x-4 over 3+2x=5/6

Mathematics
1 answer:
viktelen [127]3 years ago
5 0

Domain:\\\\3+2x\neq0\to x\neq-1.5\\\\\dfrac{6x-4}{3+2x}=\dfrac{5}{6}\qquad\text{cross multiply}\\\\6(6x-4)=5(3+2x)\qquad\text{use distributive property}\\\\(6)(6x)+(6)(-4)=(5)(3)+(5)(2x)\\\\36x-24=15+10x\qquad\text{add 24 to both sides}\\\\36x=39+10x\qquad\text{subtract 10x from both sides}\\\\26x=39\qquad\text{divide both sides by 26}\\\\x=\dfrac{39}{26}\\\\x=\dfrac{39:13}{26:13}\\\\\boxed{x=\dfrac{3}{2}}\in D

You might be interested in
LEARNING TASK 1
umka21 [38]

Answer:

Please where are the boxes

3 0
2 years ago
In a clinical test with 2161 subjects, 1214 showed improvement from the treatment. Find the margin of error for the 95% confiden
Vlad [161]

Answer:

The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

In a clinical test with 2161 subjects, 1214 showed improvement from the treatment.

This means that n = 2161, \pi = \frac{1214}{2161} = 0.5618

95% confidence level

So \alpha = 0.05, z is the value of Z that has a p-value of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Margin of error:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

M = 1.96\sqrt{\frac{0.5618*0.4382}{2161}}

M = 0.0209

The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

4 0
3 years ago
What is Mary's running speed in<br> miles per hour?
AysviL [449]

Answer:

4 to 6 miles an hour would be the answer

4 0
2 years ago
Read 2 more answers
Jovie is maintaining a camp fire. She has kept the fire steadily burning for 101010 hours with 151515 logs. She wants to know ho
Eva8 [605]

Answer:666 hours

Step-by-step explanation: The reason is that if you turn the problem into an equation it would be h=Lx. h= hours. L=how long the log lasts and x=how many logs. So when you plug in the numbers you get 101010=L*151515. So we need to find L. What you do is you divide both sides by 151515 since it is the opposite of multiplication. 151515/151515 gets crossed out and 101010/151515 is .6666666666666 irrational. So the equation now looks like .666666 irrational=L. So .66666 irrational is your L. Know you plug .666666 irrational into your original equation. Which is now h=.6666 irrational*x. So to find how long the fire keeps on burning with 999 logs you just plug 999 into x and now your equation looks like this h=.6666 irrational*999. If you multiply .6666 irrational by 999 your final answer is 666.

8 0
3 years ago
What is the distance between points (1, 4) and (9, 16)? round to the nearest tenth.
11Alexandr11 [23.1K]

Answer:

14.4 to nearest tenth.

Step-by-step explanation:

By the Pythagoras theorem:-

Distance = √ [ (y2-y1)^2 + (x2-x1)^2 ]   where  the 2 points are (x1,y1) and (x2,y2)

= √ [ (16-4)^2 + (9-1)^2]

= √ 208

= 14.4

6 0
2 years ago
Other questions:
  • Explain how you could mentally find 8x45 by using Distrubitive property
    7·2 answers
  • The two triangles are similar.<br><br> What is the value of x?
    9·1 answer
  • The areas of two similar triangles have a ratio of 4:25. what is the ratio of their perimeters​
    15·1 answer
  • Solve the triangle. Round your answers to the nearest tenth.
    14·1 answer
  • Y = 3x - 1 has a gradient of 3 write the equation of a line parallel to it
    6·1 answer
  • Please answer missing boxes in order please ASAP will give 10 points
    9·1 answer
  • Which shows the rational expression written using the least common denominator?x-2/x^3
    7·1 answer
  • How do I solve 8k-9(4K+4)
    15·1 answer
  • What’s the slope of 10,6 and 4, 1.2
    15·1 answer
  • Solve the system substitution y= 4x + 1 and 3x+2y =13
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!