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2 years ago

Solve for x. 8x - 2 = 3x + 5x

Mathematics

1 answer:

crimeas [40]2 years ago

4 0

Answer:

x=-8

Step-by-step explanation:

8x-2=3x+5x

1. Combine Like Terms

3x+5x=8x

Now your equation looks like this:

8x-2=8x

+8x +8x

2. Move Variables to one side

Now this is your equation:

-2=16x

3. Divide to isolate "x"

16/-2

x=-8

Let me know if this helped! :)

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Answer:

317 degrees

Step-by-step explanation:

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3 years ago

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The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the e

irakobra [83]

Answer:

We need a sample size of at least 383.

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 zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

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

85% confidence level

So $\alpha = 0.15$ , z is the value of Z that has a pvalue of $1 - \frac{0.15}{2} = 0.925$ , so $Z = 1.44$ .

How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 85% confidence level with an error of at most 0.03

We need a sample size of at least n.

n is found with $M = 0.03, \pi = 0.21$

Then

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

$0.03 = 1.44\sqrt{\frac{0.21*0.79}{n}}$

$0.03\sqrt{n} = 1.44\sqrt{0.21*0.79}$

$\sqrt{n} = \frac{1.44\sqrt{0.21*0.79}}{0.03}$

$(\sqrt{n})^{2} = (\frac{1.44\sqrt{0.21*0.79}}{0.03})^{2}$

$n = 382.23$

Rounding up

We need a sample size of at least 383.

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3 years ago

Find the probability of rolling the difference of 1

Naddik [55]

Answer:

It’s 1

Step-by-step explanation:

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4 years ago

1/4b^2+ 4bc + 16c?<br> Answer?

Charra [1.4K]

Answer:

1/4b^2+ 4bc + 16c?=4

Step-by-step explanation:

STEP

Simplify —

Equation at the end of step

((— • b2) + 4bc) + 16c

STEP

Equation at the end of step 2

(—— + 4bc) + 16c

STEP

Rewriting the whole as an Equivalent Fraction

3.1 Adding a whole to a fraction

Rewrite the whole as a fraction using 4 as the denominator :

4bc 4bc • 4

4bc = ——— = ———————

1 4

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

b2 + 4bc • 4 b2 + 16bc

———————————— = —————————

4 4

Equation at the end of step

(b2 + 16bc)

——————————— + 16c

STEP

Rewriting the whole as an Equivalent Fraction

4.1 Adding a whole to a fraction

Rewrite the whole as a fraction using 4 as the denominator :

16c 16c • 4

16c = ——— = ———————

1 4

STEP

Pulling out like terms

5.1 Pull out like factors :

b2 + 16bc = b • (b + 16c)

Adding fractions that have a common denominator :

5.2 Adding up the two equivalent fractions

b • (b+16c) + 16c • 4 b2 + 16bc + 64c

————————————————————— = ———————————————

4 4

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3 years ago

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Vlad [161]

Not really sure but 4 and the other - and the 0 so yes.

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3 years ago

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