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inysia [295]
4 years ago
5

The yearbook club had a meeting. The meeting had 12 people, which is two-thirds of the club. How many people are in the club?

Mathematics
1 answer:
finlep [7]4 years ago
4 0

Answer:

Step-by-step explanation:

2/3 of the club is 12 people

let c represent the club

2/3c = 12

c = 12 * 3/2

c = 36/2

c = 18 <=== the club has 18 people

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Given points (0,0) and (3,6), find the point which partitions the segment into 3:2.
sertanlavr [38]
Dividing a number by the ratio 3:2 means dividing into 3+2 = 5 parts

Let (0, 0) be (x₁, y₁) and (3, 6) be (x₂, y₂)

Find one part of the share for each axes, we do
\frac{x_1+x_2}{5} = \frac{0+3}{5}= \frac{3}{5} =0.6
\frac{y_1+y_2}{5}= \frac{0+6}{5}= \frac{6}{5}=1.2

Then multiplying the one part back into 3: 2, we have
for the x - axis ⇒ (3×0.6) : (2×0.6) = 1.8: 1.2
for the y - axis ⇒ (3×1.2) : (2×1.2) = 3.6: 2.4

The coordinate that divides the segment into 3 parts and 2 parts is (1.8, 3.6)

Correct answer: A



6 0
4 years ago
What is the value of a?
Sindrei [870]

Answer:

a=2

Step-by-step explanation:

Firstly, in order to simplify the expression, we should aim to combine the two terms given. In order to do this, both must have the same denominator. We can give them the same denominator by multiplying the second term -\frac{2}{x+2} by \frac{x+2}{x+2}. This way the fraction value remains the same but now has the same denominator as the first term:

-\frac{2}{x+2} *\frac{x+2}{x+2} \\\\=\frac{(-2)(x+2)}{(x+2)(x+2)} \\\\=\frac{-2x-4}{(x+2)^{2}}

From here we can now combine the two terms:

\frac{2x+6}{(x+2)^{2}} +\frac{-2x-4}{(x+2)^{2}} \\\\= \frac{(2x+6)+(-2x-4)}{(x+2)^{2}} \\\\\\=\frac{2x+6-2x-4}{(x+2)^{2}}\\\\= \frac{2}{(x+2)^{2}}

Therefore, a = 2.

Hope this helped!

6 0
2 years ago
What is the unit price for the turkey? Label your answer using $ and ounces. i need help on this one to please
myrzilka [38]
Is is 18 $ and because that it is ahsgsjsjsbnsnz
3 0
3 years ago
PLEASE HELP!! Geometric Series
shutvik [7]

Answer:

Step-by-step explanation:

S_{n} = \frac{a_{1} (1-r^{n} )}{1-r}

S_{75} = \frac{10(1-0.9^{75} }{1-0.9} = 10(1 - 0.00037) / 0.1 = 99.96

7 0
3 years ago
Line v has an equation of y=–109x–3. Perpendicular to line v is line w, which passes through the point (2,3). What is the equati
Korvikt [17]

Answer:

the equation of line w will be y = 1/109x + 325/109

Step-by-step explanation:

when a line is perpendicular to another line, that means their slopes are reversed signs and flipped.

so if one slope is 2/3, the perpendicular slope would be -3/2

so in this problem, line w would have 1/109 be the slope.

using this, we can substitute m as the slope and the given point in the problem as x and y and solve for b in the slope-intercept form (y = mx +b)

m = 1/109

(2,3)

y = mx + b

3 = (1/109)2 + b

3 = 2/109 + b

327/109 = 2/109 + b

325/109 = b

putting it all together, the equation of line w will be y = 1/109x + 325/109

4 0
3 years ago
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