All categories

3 years ago

Solve for x. 3x-(5-2x)=x-21

1 answer:

5 0

$\text{Hello there!}\\\\\text{Solve for x:}\\\\3x-(5-2x)=x-21\\\\\text{Distribute the "-" to the numbers in the parenthesis}\\\\3x-5+2x=x-21\\\\5x-5=x-21\\\\\text{Subtract x to both sides}\\\\4x-5=-21\\\\\text{Add 5 to both sides}\\\\4x = -16\\\\\text{Divide both sides by 4}\\\\\large\boxed{x=-4}$

You might be interested in

Hellooo i'm an 8th grader in an algebra 1 class so i will be clueless but my problem is

Shalnov [3]

Add 3x to both sides of the equation which means y=13+3x

3 0

3 years ago

Read 2 more answers

N. -2x - 40 = 8(1 -x)

Irina-Kira [14]

Answer:

x=8

Step-by-step explanation:

−2x−40=8(1−x)

Step 1: Simplify both sides of the equation.

−2x−40=8(1−x)

−2x+−40=(8)(1)+(8)(−x)(Distribute)

−2x+−40=8+−8x

−2x−40=−8x+8

Step 2: Add 8x to both sides.

−2x−40+8x=−8x+8+8x

6x−40=8

Step 3: Add 40 to both sides.

6x−40+40=8+40

6x=48

Step 4: Divide both sides by 6.

$\frac{6x}{6} =\frac{48}{6}$

to get the answer

x=8

4 0

3 years ago

Determine if 0.95929409956639... is rational or irrational and give a reason for your answer.

Dahasolnce [82]

Answer: Irrational Hope this helps, please consider making me Brainliest.

Step-by-step explanation:

That number is irrational because it cannot be directly expressed with two integers. Hope this helps, please consider making me Brainliest.

6 0

2 years ago

Read 2 more answers

Three consecutive even numbers add up to a number between 100 and 120 what might the number be?

Rzqust [24]

<span>The number can be 102, 108, or 114. They can all be formed that way.

32 + 34 + 36 = 102
34 + 36 + 38 = 108
36 + 38 + 40 = 114

</span>The n<span>ext one is 120 . . . . . 38 + 40 + 42</span>

7 0

3 years ago

g A psychic was tested for extrasensory perception (ESP). The psychic was presented with cards face down and asked to determine

diamong [38]

Answer:

Step-by-step explanation:

Hello!

The objective is to test ESP, for this, a psychic was presented with cards face down and asked to determine if each of the cards was one of four symbols: a star, cross, circle, square.

Be X: number of times the psychic identifies the symbols on the cards correctly is a size n sample.

p the probability that the psychic identified the symbol on the cards correctly

You have to calculate the sample size n to estimate the proportion with a confidence level of 95% and a margin of error of d=0.01

The CI for the population proportion is constructed "sample proportion" ± "margin of error" Symbolically:

p' ± $Z_{1-\alpha /2} * (\sqrt{\frac{p'(1-p')}{n} } )$

Where $d= Z_{1-\alpha /2} * (\sqrt{\frac{p'(1-p')}{n} } )$ is the margin of error. As you can see, the formula contains the sample proportion (it is normally symbolized p-hat, in this explanation I'll continue to symbolize it p'), you have to do the following consideration:

Every time the psychic has to identify a card he can make two choices:

"Success" he identifies the card correctly

"Failure" he does not identify the card correctly

If we assume that each symbol has the same probability of being chosen at random P(star)=P(cross)=P(circle)=P(square)= 1/4= 0.25

Let's say, for example, that the card has the star symbol.

The probability of identifying it correctly will be P(success)= P(star)= 1/4= 0.25

And the probability of not identifying it correctly will be P(failure)= P(cross) + P(circle) + P(square)= 1/4 + 1/4 + 1/4= 3/4= 0.75

So for this experiment, we'll assume the "worst case scenario" and use p'= 1/4 as the estimated probability of the psychic identifying the symbol on the card correctly.

The value of Z will be $Z_{1-\alpha /2}= Z_{0.975}= 1.96$