All categories

3 years ago

Solve the equation. 2x+4+8x=24

Mathematics

2 answers:

evablogger [386]3 years ago

6 0

Answer:

$\boxed{\boxed{\sf x=2}}$

Step-by-step explanation:

$\sf 2x+4+8x=24$

Combine like terms:

$\sf 2x+8x+4=24$

$\sf 10x+4=24$

Subtract 4 from both sides:

$\sf 10x+4-4=24-4$

$\sf 10x=20$

Divide both sides by 10:

$\sf \cfrac{10x}{10}=\cfrac{20}{10}$

$\sf x=2$

____________________________

Rasek [7]3 years ago

3 0

2x + 4 + 8x = 24

2x + 8x = 24 - 4

10x = 20

x = 20 ÷ 10

x = 2

____

Hope it helps!

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂ ❤

You might be interested in

The lock of a safe has a wheel of 8 letters. A unique combination of 3 letters opens the safe. what is the probability that a bu

LiRa [457]

Answer:

1/512

Step-by-step explanation:

The robber has a 1/8 probability of getting each letter right. There are three letters, so you would multiply 1/8x1/8x1/8.

5 0

4 years ago

Find the function of ğ... does anybody knows?

Basile [38]

If we let g(x) = x + 2, then
${(x + 2)}^{2} + 2 = ( {x}^{2} + 4x + 4) + 2 \\ = {x}^{2} + 4x + 6$
Of course if we let f(x) = x + 2, then

7 0

3 years ago

What is the 34th term of this sequence? -4, 3, 10, 17, 24

dolphi86 [110]

Answer:

238

Step-by-step explanation:

5 0

3 years ago

According to Nielsen Media Research. of all the U.S. households that owned at least one television set, 83% had two or more sets

Rudik [331]

Answer:

The proportion of U.S. households that owned two or more televisions is 83%.

Step-by-step explanation:

To determine whether the proportions of U.S. households that owned two or more televisions is less than 83% or not let us perform a hypothesis test for single proportion.

Assumptions:

The sample size (n) selected by the local cable company is 300 which is quite large. Then according to the Central limit theorem the sampling distribution of sample proportion follows a normal distribution with mean p and standard deviation $\sqrt{\frac{p(1-p)}{n} }$ .

Since the sampling distribution of sample proportions follows a normal distribution use the z-test for one proportion to perform the test.

The hypothesis is:

$H_{0}$ : The proportion of U.S. households that owned two or more televisions is 83%, i.e. $p=0.83$

$H_{1}$ :The proportion of U.S. households that owned two or more televisions is less than 83%, i.e. $p< 0.83$

Decision Rule:

At the level of significance α = 0.05 the critical region for a one-tailed z-test is:

$\\ Z\leq -1.645\\$

**Use the z table for the critical values.

So, if $\\ Z\leq -1.645\\$ the null hypothesis will be rejected.

Test statistic value:

$z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}$

Here $\hat{p}$ is the sample proportion.

Compute the value of $\hat{p}$ as follows:

$\hat{p}=\frac{X}{n} \\=\frac{240}{300}\\ =0.80$

Now compute the value of the test statistic as follows:

$z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}\\=\frac{0.80-0.83}{\sqrt{\frac{0.83*(1-0.83)}{300} } } \\=-1.383$

The test statistic is -1.383 which is more than -1.645.

Thus, the test statistic lies in the acceptance region.

Hence we fail to reject the null hypothesis.

Conclusion:

At 0.05 level of significance we fail to reject the null hypothesis stating that the proportion of U.S. households that owned two or more televisions is 83%.

6 0

3 years ago

The rectangular dining room floor at Mrs. Washington's restaurant is 16 feet by 20 feet. She

Aleksandr [31]

Answer:

Step-by-step explanation:

3 0

3 years ago