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2 years ago

What is the value of x in the equation 2x + 1/2x + 2(1+x) = 29?

Mathematics

1 answer:

erica [24]2 years ago

5 0

Answer:

Step-by-step explanation:

$2x + \frac{1}{2} x + 2(1 + x) = 29$

Multiply through by 2

That's

$4x + x + 4(1 + x) = 58$

Expand

That's

5x + 4 + 4x = 58

9x = 58 - 4

9x = 54

Divide both sides by 9

That's

$\frac{9x}{9} = \frac{54}{9}$

We have the final answer as

Hope this helps you

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The Marcus Family is

Margarita [4]

Answer:

765 miles

Step-by-step explanation:

Find the rate (mph) and then multiply the result by 9 hours:

340 mi

------------- * 9 hrs = 765 miles

4 hrs

8 0

3 years ago

Futhe Mathematics <img src="https://tex.z-dn.net/?f=%28Cos%20%7B%7D%5E%7B4%7Dt%20-Sin%20%7B%7D%5E%7B4%7Dt%20%29%20%20%5Cdiv%2

Nastasia [14]

Answer:

cos2t/cos²t

Step-by-step explanation:

Here the given trigonometric expression to us is ,

$\longrightarrow \dfrac{cos^4t - sin^4t }{cos^2t }$

We can write the numerator as ,

$\longrightarrow \dfrac{ (cos^2t)^2-(sin^2t)^2}{cos^2t }$

Recall the identity ,

$\longrightarrow (a-b)(a+b)=a^2-b^2$

Using this we have ,

$\longrightarrow \dfrac{(cos^2t + sin^2t)(cos^2t-sin^2t)}{cos^2t}$

Again , as we know that ,

$\longrightarrow sin^2\phi + cos^2\phi = 1$

Therefore we can rewrite it as ,

$\longrightarrow \dfrac{1(cos^2t - sin^2t)}{cos^2t}$

Again using the first identity mentioned above ,

$\longrightarrow \underline{\underline{\dfrac{(cost + sint )(cost - sint)}{cos^2t}}}$

Or else we can also write it using ,

$\longrightarrow cos2\phi = cos^2\phi - sin^2\phi$

Therefore ,

$\longrightarrow \underline{\underline{\dfrac{cos2t}{cos^2t}}}$

And we are done !

$\rule{200}{4}$

Additional info :-

Derivation of cos²x - sin²x = cos2x :-

We can rewrite cos 2x as ,

$\longrightarrow cos(x + x )$

As we know that ,

$\longrightarrow cos(y + z )= cosy.cosz - siny.sinz$

So that ,

$\longrightarrow cos(x+x) = cos(x).cos(x) - sin(x)sin(x)$

On simplifying,

$\longrightarrow cos(x+x) = cos^2x - sin^2x$

Hence,

$\longrightarrow\underline{\underline{cos (2x) = cos^2x - sin^2x }}$

$\rule{200}{4}$

7 0

2 years ago

The owner of a fish market has an assistant who has determined that the weights of catfish are normally distributed, with mean o

prohojiy [21]

Answer:

The percentage of samples of 4 fish will have sample means between 3.0 and 4.0 pounds is 66.87%

Step-by-step explanation:

For a normal random variable with mean Mu = 3.2 and standard deviation sd = 0.8 there is a distribution of the sample mean (MX) for samples of size 4, given by:

Z = (MX - Mu) / sqrt (sd ^ 2 / n) = (MX - 3.2) / sqrt (0.64 / 4) = (MX - 3.2) / 0.4

For a sample mean of 3.0, Z = (3 - 3.2) / 0.4 = -0.5

For a sample mean of 3.0, Z = (4 - 3.2) / 0.4 = 2.0

P (3.2 <MX <4) = P (-0.5 < Z <2.0) = 0.6687.

The percentage of samples of 4 fish will have sample means between 3.0 and 4.0 pounds is 66.87%

6 0

3 years ago

The width of a rectangle is 4 less than half the length. If L represents the length, what equation can be use to find the width,

strojnjashka [21]

Answer:

W = 1/2L - 4

Step-by-step explanation:

The width is 4 less than 1/2 of the length.

w = 1/2L - 4

6 0

2 years ago

Read Shakespeare's "Sonnet 100.”

qaws [65]

I have the answers but not letting me submit it

6 0

3 years ago

Read 2 more answers