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KiRa [710]
3 years ago
14

Solve : x/3-2/5 = 2x/15-3/5

Mathematics
1 answer:
Ronch [10]3 years ago
8 0
Solution:

x/3-2/5 = 2x/15-3/5

(x/3)/15 - (2/5)/15 = (2x/15)/15 - (3/5)/15
5x - 6 = 2x - 9
5x = 2x - 9 + 6
5x - 2x = -9 + 6
3x = -3
3x/3 = -3/3
x = -1

Therefore the value of x is -1


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Write the equation of the line that passes through the points (-6, -9) and (7, 7).
Rus_ich [418]

Answer:

\displaystyle y + 9 = \frac{16}{13} ( x + 6 )

Step-by-step explanation:

The point-slope form of the equation of a line is:

y - k = m ( x - h )

Where m is the slope and (h,k) is a point through which the line passes.

Given a line passes through points A(x1,y1) and B(x2,y2), the slope can be calculated with the equation:

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

We are given the points (-6,-9) and (7,7), thus the slope is:

\displaystyle m=\frac{7+9}{7+6}=\frac{16}{13}

Now we apply the point-slope formula using the point (-6,-9):

\mathbf{\displaystyle y + 9 = \frac{16}{13} ( x + 6 )}

This equation is expressed in the required format

6 0
3 years ago
Timothy has a fenced-in garden in the shape of a rhombus. The length of the longer diagonal is 24 feet, and the length of the sh
Marta_Voda [28]

From the Pythagorean Theorem:

side^2 = (.5 * 24)^2 + (.5 * 18)^2

side^2 = 144 + 81

side = sq root (225)

rhombus side = 15 feet


Source

1728.com/quadrhom.htm



3 0
4 years ago
I NEED THIS FAST!
spin [16.1K]

9514 1404 393

Answer:

  30

Step-by-step explanation:

The least common denominator is the least common multiple of the denominators.

Here, the given denominators, 3 and 10, have no common factors, so their least common multiple is simply their product:

  LCD = 3×10 = 30

The least common denominator is 30.

__

If the denominator numbers have a common factor, then their least common multiple is their product divided by their greatest common factor.

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The National Survey on Drug Use and Health also reported that 21% of males in the same age group (12-20) are binge drinkers. Sup
damaskus [11]

Answer:

Y does not have a binomial distribution since p, the probability of being a binge drinker, is not the same for all the trials.

Step-by-step explanation:

For a binomial distribution, condition required include :

A fixed number of trials ; Here the number of trials is 20 ; hence, this condition is met.

Each trial must be independent : yes, it is independent as a selected individual could either be a binge drinker or not. The outcome of each trial is either a success or a failure ; being a drinker or not.

However, the probability of being a binge drinker (that is probability of success) could vary for male and female. The probability of male being a binge drinker is 0.21 while that if female isn't specified, this probability, p value should be the same for all trials. Hence, with this value not being the same for all trials, the binomial probability condition is violated.

4 0
3 years ago
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