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Karo-lina-s [1.5K]
3 years ago
9

Solve x + 1 = 1/6 + 2 - x -------- -------- 4 3 (make sure to type the number only)

Mathematics
1 answer:
stiks02 [169]3 years ago
8 0

Answer:

x = -251/12

Step-by-step explanation:

x+1=\frac{1}{6}+2-x--------43\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\\\x=\frac{1}{6}+2-x--------43-1\\\\\mathrm{Add\:}x\mathrm{\:to\:both\:sides}\\\\x+x=\frac{1}{6}+2-x--------43-1+x\\\\2x=\frac{1}{6}+2--------43-1\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\\\frac{2x}{2}=\frac{\frac{1}{6}}{2}+\frac{2}{2}-\frac{ }{2}-\frac{ }{2}-\frac{ }{2}-\frac{ }{2}-\frac{ }{2}-\frac{ }{2}-\frac{ }{2}-\frac{43}{2}-\frac{1}{2}\\\\x=-\frac{251}{12}

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Answer:

The base = 8 cm and the altitude = 4 cm.

Step-by-step explanation:

b = a + 4  where b = base and a = the altitude.

Area = 1/2 * a * b = 16

Area = 1/2 * a * (a + 4) = 16

1/2 a^2 + 2a = 16

a^2 + 4a - 32 = 0

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What is 3.4 dropped to 28%
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Answer:

28/100×3.4

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The current population of a small town is 2463 people. It is believed that town's population is tripling every 12 years. Approxi
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{Answer:

3893 residents.

Step-by-step explanation:

Equation for population growth:

The equation for the size of a population, considering that it doubles every n years, is given by:

A(t) = A(0)(3)^{(\frac{t}{n})}

In which A(0) is the initial population.

The current population of a small town is 2463 people. It is believed that town's population is tripling every 12 years.

This means that A(0) = 2463, n = 12. So

A(t) = A(0)(3)^{(\frac{t}{n})}

A(t) = 2463(3)^{(\frac{t}{12})}

Approximate the population of the town 5 years from now.

This is A(5). So

A(t) = 2463(3)^{(\frac{t}{12})}

A(5) = 2463(3)^{(\frac{5}{12})} = 3892.8

Rounding to the nearest whole number, 3893 residents.

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2 years ago
A city has 18 radio stations, including 9 oldies stations.
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50% so 9/18, or 1/2 simplified
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Vanessa draws one side of an equilateral triangle ABC on the coordinate plane at points A(-2, 1) and B (4, 1). What are the two
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Answer:

two vertex are: (1 , 6.2) , (1 , - 4.2)

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The 3rd vertex P (x , y) will locate at the mid point of AB

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length AB = 4 - (-2) = 6

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P (1 , 6.2) or P ( 1 , -4.2)

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3 years ago
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