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3 years ago

What is the solution for this proportion?

Mathematics

1 answer:

uranmaximum [27]3 years ago

3 0

Answer:

n = -3

Step-by-step explanation:

Cross multiply. We get:

(n - 6)(3n + 1) = 3n(n - 5), or

3n² + n - 18n - 6 = 3n² - 15n

Simpify by combining like terms. 3n² on the left is the same as 3n² on the right, so we cancel these terms:

n - 18n - 6 = - 15n.

Continuing to combine like terms, we get:

-2n = 6, so that n = -3.

Note that there is no problem subbing -3 for n in the given proportion; both fractions will be defined. Thus, n = -3 is the solution desired.

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What is the answer?

jeka57 [31]

Answer:

A).SAS

because both triangles are the same by side length and angle.

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3 years ago

my hw write find an equation of the line passing through (-2,3) and (4,-5) I have to write the equation in slope-intercept form

Viefleur [7K]

Answer:

The line passing through the given points is:

$y=-\frac{4}{3}x+\frac{1}{3}$

in its slope-intercept form

Step-by-step explanation:

Start by finding the slope of the segment that joins the two given points using the slope formula:

$slope=\frac{y_2-y_1}{x_2-x_1}$

which for our case renders:

$slope=\frac{3-(-5)}{-2-4}=\frac{8}{-6} =-\frac{4}{3}$

Now we can find the y-intercept by using any one of the given points in the general slope-intercept form of a line with this slope:

$y=-\frac{4}{3} x+b\\3=-\frac{4}{3} (-2)+b\\3=\frac{8}{3}+b\\b=3-\frac{8}{3} \\b=\frac{9-8}{3} \\b=\frac{1}{3}$

Therefore, the equation of the line becomes:

$y=-\frac{4}{3}x+\frac{1}{3}$

3 0

3 years ago

A group of students calculated their average score at a spelling bee. They realized that if one of them scored 9 more points, th

alukav5142 [94]

Answer: There are 4 students in the group.

Step-by-step explanation:

Let the number of students in the group be n

If one of them scored 9 more points , their average score would be 81 points.

So, our equation (1) will be

$\frac{\sum x+9}{n}=81\\\\\sum x+9=81n$

Similarly,

If one of them scored 3 points less, their average score would be 78 points.

So, our equation (2) will be

$\frac{\sum x-3}{n}=78\\\\\sum x-3=78n$

So, from equation (1) and (2) we get:

$81n-9=\sum x=78n+3\\\\81n-9=78n+3\\\\81n-78n=3+9\\\\3n=12\\\\n=\frac{12}{3}\\\\n=4$

Hence, there are 4 students in the group.

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4 years ago

Help me pls it’s number 8, will give brainliest but quickly pls

pav-90 [236]

1. 20010000
2. 0.0819
3. 137000
4. 0.00060041

7 0

3 years ago

Read 2 more answers

In Wellington, a city of 360,000 citizens, there has been an outbreak of vampires and werewolves There are 3,000 people infected

Alex17521 [72]

Answer:

0.0286 or 2.86%

Step-by-step explanation:

The total number of people that have werewolfism is 21,000.

Of those 21,000, 600 also have vampirism, while the remaining 20,400 do not. Therefore, the probability that someone has vampirism, given that they have werewolfism is:

$P(V|W)=\frac{N_{V\cap W}}{N_W}\\P(V|W)=\frac{600}{21,000} \\P(V|W)=0.0286=2.86\%$

The probability is 0.0286 or 2.86%.

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3 years ago