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Leto [7]
3 years ago
5

Solve for m: m/5 + 3(m-1)/) = 2(m-3)

Mathematics
2 answers:
irinina [24]3 years ago
8 0
<span>m/5 + 3(m - 1) = 2(m - 3)
m + 15(m - 1) = 10(m - 3)
m + 15m - 15 = 10m - 30
6m = -15
m = -15/6</span>
pishuonlain [190]3 years ago
7 0
M/5 + 3(m - 1) = 2(m - 3)

Simplify inside the parenthesis.

m/5 + 3m - 3 = 2m - 6

Now, we need to move all variables to the left side of the equal sign, and move all isolated numbers to the other (right) side of the equal sign.

So, we need to add 3 to both sides, and subtract 2m from both sides,

m/5 + 3m - 2m = -6 + 3

Simplify.

m/5 + m = -3

Remember : m/5 is basically 1/5m :)

So, our equation now looks like this :

1/5m + m = -3

Remember, "m" is basically 5/5, because "5" is our common denominator.

So, our equation now looks like this :

1/5m + 5/5m = -3

Simplify.

6/5m = -3

Then, multiply both sides by 5/6 so that m is isolated.

5/6 × 6/5m = -3 × 5/6

Simplify.

m = -5/2 AND -2 1/2 AND -2.5

~Hope I helped!~






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Here use product law which state- same base power should add

M^7-3

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2 years ago
Statistics show that about 42% of Americans voted in the previous national election. If three Americans are randomly selected, w
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Answer:

19.51% probability that none of them voted in the last election

Step-by-step explanation:

For each American, there are only two possible outcomes. Either they voted in the previous national election, or they did not. The probability of an American voting in the previous election is independent of other Americans. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

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This means that n = 3

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This is P(X = 0).

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6 0
2 years ago
I need help, I don't know how to do it.
Sindrei [870]

Answer:

Step-by-step explanation:

to solve this problem we can use the Pythagorean theorem

UT and TL are the legs, while LU is the hypotenuse

We have to find LU so we can proceed like this

x^2 + (x+1)^2 = LU^2

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LU = +/- \sqrt{2x^2+2x+1

we have to take only the positive value because a length can’t be negative.

2x^2 + 2x + 1 is positive for every value of x, so the final answer is

\sqrt{2x^2+2x+1}

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