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pychu [463]
3 years ago
10

−(14w+8)+8=3

Mathematics
1 answer:
ollegr [7]3 years ago
5 0

Hello!

let's make the following solution:

- (14w + 8) + 8 = 3

we eliminate the parentheses and change the signs

- 14w - 8 + 8 = 3

we eliminate the opposite numbers

- 14w - \diagup\!\!\!\!8 + \diagup\!\!\!\!8 = 3

so:

- 14w = 3\;\:(simplify\:by\:-1)

14w = -3

\boxed{\boxed{w = -\frac{3}{14}}}\end{array}}\qquad\checkmark

ps: the answer is correct, the question was poorly worked out with the wrong feedback.

__________________________

I Hope this helps, greetings ... DexteR! =)

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gtnhenbr [62]
I would solve the first equation for x and then sub that value into x in the second equation.  That's the easiest way.  x - 2y = 3 solved for x is x = 2y+3.  Now sub that in for x in the second equation: 5(2y+3)+3y=2 and 10y + 15 + 3y = 2.  13y = -13, and y = -1.  Now sub that y value into either equation to solve for x: x = 2(-1) + 3 gives us an x value of x = 1.  Therefore, your solution to this system is (1, -1), first choice above.
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3 years ago
What is the solution to the equation 5x = 40?
Dima020 [189]
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40 divided by 5 is 8.
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3 years ago
Read 2 more answers
A bag contains only red and blue marbles. Yasmine takes one marble at random from the bag. The probability that she takes a red
mamaluj [8]

Let red marbles = X.

The probability is 1 out of 5, written as 1/5

1/5 in terms of red marbles is equal to the number of red marbles divided by 5x, where 5x is the total number of marbles.

1/5 = x/5x 

Now you have 5x total marbles, x red and 4x blue. 

Add 5 more red and the new probability is: 

(x+5)/(5x+5) = 1/3 

Simplify:

3x+15 = 5x+5 

Now solve for x:

Subtract 3x from both sides:

15 = 2x +5

Subtract 5 from each side:

2x = 10 

Divide both sides by 2:

x = 10/2

X = 5

There were originally 5 red marbles.

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3 years ago
What is the theoretical probability of picking a diamond, not replacing it, and then picking another diamond? Write your answer
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3 years ago
According to Scarborough Research, more than 85% of working adults commute by car. Of all U.S. cities, Washington, D.C., and New
tamaranim1 [39]

Answer:

The 99% confidence interval for the mean commute time of all commuters in Washington D.C. area is (22.35, 33.59).

Step-by-step explanation:

The (1 - <em>α</em>) % confidence interval for population mean (<em>μ</em>) is:

CI=\bar x\pm z_{\alpha /2}\frac{\sigma}{\sqrt{n}}

Here the population standard deviation (σ) is not provided. So the confidence interval would be computed using the <em>t</em>-distribution.

The (1 - <em>α</em>) % confidence interval for population mean (<em>μ</em>) using the <em>t</em>-distribution is:

CI=\bar x\pm t_{\alpha /2,(n-1)}\frac{s}{\sqrt{n}}

Given:

\bar x=27.97\\s=10.04\\n=25\\t_{\alpha /2, (n-1)}=t_{0.01/2, (25-1)}=t_{0.005, 24}=2.797

*Use the <em>t</em>-table for the critical value.

Compute the 99% confidence interval as follows:

CI=27.97\pm 2.797\times\frac{10.04}{\sqrt{25}}\\=27.97\pm5.616\\=(22.354, 33.586)\\\approx(22.35, 33.59)

Thus, the 99% confidence interval for the mean commute time of all commuters in Washington D.C. area is (22.35, 33.59).

8 0
3 years ago
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