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3 years ago

Solve for X: 2/3+1/ 3X = 2X

Mathematics

1 answer:

DochEvi [55]3 years ago

8 0

Answer:

x = $\frac{2}{5}$

Step-by-step explanation:

Given

$\frac{2}{3}$ + $\frac{1}{3}$ x = 2x

Multiply through by 3 to clear the fractions

2 + x = 6x ( subtract x from both sides )

2 = 5x ( divide both sides by 5 )

$\frac{2}{5}$ = x

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Consider the points (−4, 0) and (5, 0).

Lostsunrise [7]

Answer:

answered

Step-by-step explanation:

A) there y- coordinates are same . This means that the points lie on the x- axis only.

b) since the y- coordinate is zero of both the points. The distance between them must be same as the distance between their x- coordinates. Which can be easily obtained with help of the number line. Here the distance will be equal to 9 units.

c) since the y- coordinate is zero of both the points. The distance between them must be same as the distance between their x- coordinates. Which can be easily obtained with help of the number line. Here the distance will be equal to 9 units

6 0

3 years ago

Consider a bell-shaped symmetric distribution with mean of 16 and standard deviation of 1.5. Approximately what percentage of da

fredd [130]

Answer: 95.45 %

Step-by-step explanation:

Given : The distribution is bell shaped , then the distribution must be normal distribution.

Mean : $\mu=\ 16$

Standard deviation : $\sigma= 1.5$

The formula to calculate the z-score :-

$z=\dfrac{x-\mu}{\sigma}$

For x = 13

$z=\dfrac{13-16}{1.5}=-2$

For x = 19

$z=\dfrac{19-16}{1.5}=2$

The p-value = $P(-2$

$0.9772498-0.0227501=0.9544997\approx0.9545$

In percent, $0.9545\times100=95.45\%$

Hence, the percentage of data lie between 13 and 19 = 95.45 %

6 0

3 years ago

Can anyone help me with this problem by factoring and list the steps please

jok3333 [9.3K]

Answer:

$m=2, m=0$

-ˋˏ✄┈┈┈┈┈┈┈┈┈┈┈┈┈

$20m^2-40m=0$

<u>Use quadratic formula:-</u>

᠃ ⚘᠂ ⚘ ˚ ⚘ ᠂ ⚘ ᠃

$m_1,_2=\frac{-(-40) -+\sqrt{x} (-40)^2-4*20*0}{2*20}$

$\sqrt{(-40)^2-4*20*0}=40$

$m_1,_2=\frac{-(-40)-,+40}{2*20}$

$m_1=\frac{-(-40)+40}{2*20},m_1=\frac{-(-40)-40}{2*20}$

$m=\frac{-(-40)+40}{2*20}:2$

$m=\frac{-(-40)-40}{2*20}:0$

$m=2, m=0$

˱ ┈ ┈ ┈ ┈ ˲

hope it helps...

have a great day!!

6 0

3 years ago

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS HELP ASAP THANKS

Ipatiy [6.2K]

Answer:

I believe the answer is B. 15/5 = n/12

Step-by-step explanation:

Once again same method as I've explained before. However, this one tricked me a little bit and still is because of the appearance of the smaller triangle. However, If I don't focus on that I believe this answer is correct. This is because in order to find the missing side we need to find the factor of which the triangle was expanded. So we must divide a given side of the bigger triangle by the same similar side of the little triangle, like 15/5. Then we must divide n by its similar side which the appearance made me think 13 which is not an option so I believe it is 12 and it was just trying to throw me off. So n/12. Therefore that is why I believe B is correct.

7 0

2 years ago

I NEED HELP PLEASE, THANKS! :)

Elena L [17]

Answer:

First option is the right choice.

Step-by-step explanation:

$\frac{1}{\cos \left(x\right)+1}+\frac{1}{\cos \left(x\right)-1}\\\\\frac{\cos \left(x\right)-1}{\left(\cos \left(x\right)+1\right)\left(\cos \left(x\right)-1\right)}+\frac{\cos \left(x\right)+1}{\left(\cos \left(x\right)+1\right)\left(\cos \left(x\right)-1\right)}\\\\=\frac{\cos \left(x\right)-1+\cos \left(x\right)+1}{\left(\cos \left(x\right)+1\right)\left(\cos \left(x\right)-1\right)}\\\\=\frac{2cos\left(x\right)}{cos^2\left(x\right)-1}\\\\=\frac{2cos\left(x\right)}{sin^2\left(x\right)}$

$=2\cdot \frac{cos\left(x\right)}{sin\left(x\right)}\cdot \frac{1}{sin\left(x\right)}\\\\=-2cot(x)csc(x)$

Best Regards!

7 0

3 years ago