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2 years ago

5(n+4)/3=n-8 A.-24 B.24 C.22 D.-22 PLEASE HELP

Mathematics

1 answer:

arsen [322]2 years ago

6 0

Start with

$\dfrac{5(n+4)}{3} = n-8$

Multiply both sides by 3:

$5(n+4) = 3(n-8)$

Expand both sides:

$5n+20 = 3n-24$

Subtract $3n$ from both sides:

$2n+20 = -24$

Subtract 20 from both sides:

$2n = -44$

Divide both sides by 2:

$n = -22$

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3 years ago

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2 years ago

The equation 7^2=a^2 shows the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A

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Answer:

The period of Y increases by a factor of $k^ {3/2}$ with respect to the period of X

Step-by-step explanation:

The equation $T ^ 2 = a ^ 3$ shows the relationship between the orbital period of a planet, T, and the average distance from the planet to the sun, A, in astronomical units, AU. If planet Y is k times the average distance from the sun as planet X, at what factor does the orbital period increase?

For the planet Y:

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For planet X:

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To know the factor of aumeto we compared $T_x$ with $T_y$

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$\frac{T_y ^ 2}{T_x ^ 2}=\frac{a_y ^ 3}{a_x^ 3}\\\\\frac{T_y ^ 2}{T_x ^ 2}=\frac{(a_xk)^3}{a_x ^ 3}\\\\\frac{T_y^ 2}{T_x^ 2}=\frac{k ^ {3}a_{x}^ 3}{a_{x}^ 3}\\\\\frac{T_{y}^ 2}{T_{x}^ 2}=k ^ 3\\\\T_{y}^ 2 = T_{x}^{2}k^{3}\\\\T_{y} =k^{\frac{3}{2}}T_x$

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3 years ago

The graph shows how the number of key chains in your collection increased since you began collecting. 5 months ago. During which

Pepsi [2]

Answer:

4th month

Step-by-step explanation:

As this graph shows the evolution of your collection over time, and not the number of key chains you collected in each month, you need to look for the month with the highest increase.

According to the graph on the first month you collected 4 key chains. After the 2nd month you had 6 key chains, so, you collected:

keys on 2nd month - keys on 1st month = 6-4 = 2 keys

In month 3 you went from 6 to 10 key chains, so you collected

keys on 3rd month - keys on 2nd month = 10-6 = 4 keys

On the next, month 4, you had 16, so you collected

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Finally, on the last month you had 18, having collected:

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So, the month you most collected was the 4th, with 6 key chains. All the others months collected less keys (2 on the 2nd, 4 on the 3rd and 2 on the 5th).

I hope it is understandable.

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2 years ago

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