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AlexFokin [52]
3 years ago
10

2/5x - 4 = 10 solve for x

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

Answer: x = +35

Explanation: In this equation, our first step is to isolate the x-term by adding 4 to both sides of the equation. On the left -4 and +4 cancel and we're left with 2/5x and on the right 10 + 4 simplifies to 14.

Now, in order to get <em>x</em> by itself, we must multiply both sides of the equation by the reciprocal of that fraction. The reciprocal of a fraction is just that fraction flipped so the reciprocal of 2/5 is 5/2 so we multiply both sides of the equation by 5/2.

So as we multiply 5/2 times 5/2x, our 5's cancel and our 2's cancel so we are simply left with <em>x</em>. On the right side, 14 and 2 reduce to 7 and 1 so we have 7 times 5 which is 35 so <em>x = 35</em>.

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Line segment JM has endpoints with coordinates -2 and 14 on a number line. Points K and L are on segment JM. K has a coordinate
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Answer:

B. \frac{25}{64}

Step-by-step explanation:

Please find the attachment.  

We have been given that line segment JM has endpoints with coordinates -2 and 14 on a number line. Points K and L are on segment JM. K has a coordinate of 2 and point L has a coordinate of 8.

The probability that the first point is positioned on JL would be \frac{10}{16} as there are total 10 points on JL as L is at point 8 and J is at point -2 so (8--2=8+2=10). Total number of points on the number line JM is (14--2=14+2=16)  

The probability that second point is not placed on KL would be:

P(\text{The point is not on KL)}=1-\text{probability that point is on KL}

P(\text{The point is not on KL)}=1-\frac{\text{Total points on KL}}{\text{Total points on JM}}

P(\text{The point is not on KL)}=1-\frac{(8-2)}{16}

P(\text{The point is not on KL)}=1-\frac{6}{16}

P(\text{The point is not on KL)}=\frac{16-6}{16}

P(\text{The point is not on KL)}=\frac{10}{16}

\text{The probability of getting 1st point on Jl and second point is not on KL}=\frac{10}{16}\times \frac{10}{16}

\text{The probability of getting 1st point on Jl and second point is not on KL}=\frac{5}{8}\times \frac{5}{8}

\text{The probability of getting 1st point on Jl and second point is not on KL}=\frac{25}{64}

Therefore, our desired probability will \frac{25}{64} and option B is the correct choice.

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