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3 years ago

Which equation is equivalent to 3/4=2x-1/2y+4

Mathematics

1 answer:

lyudmila [28]3 years ago

6 0

Answer:

option a and d

Step-by-step explanation:

$\frac{3}{4} = \frac{2x - 1}{2y + 4} \\ 3(2y + 4) = 4(2x - 1) \\ 6y + 12 = 8x - 4 \\ now \\ 6y = 8x - 4 - 12 \\ 6y = 8x - 16 \\ y = \frac{8x - 16}{6} \\ y = \frac{8x}{6} - \frac{16}{6} \\ y = \frac{4x}{3} - \frac{8}{3} \\ y = \frac{4}{3} x - \frac{8}{3} \\a nd \\ \\ 6y + 12 = 8x - 4 \\ 6y + 12 + 4 = 8x \\ 6y + 16 = 8x \\ \frac{6y + 16}{8} = x \\ \frac{6y}{8} + \frac{16}{8} = x \\ \frac{3y}{4} + 2 = x \\ x = \frac{3}{4} y + 2$

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Use the theoretical method to determine the probability of the following event. A randomly selected person has a birthday in Nov

MakcuM [25]

Answer:

There is an 8.22% probability that a randomly selected person has a birthday in November.

Step-by-step explanation:

The theoretical method to find the probability is the division of the number of desired outcomes by the number of total outcomes.

A randomly selected person has a birthday in November

There are 365 days in a year, so the number of total outcomes is 365.

There are 30 days in november, so the number of desired outcomes is 30.

So the probability is

$P = \frac{30}{365} = 0.0822$

There is an 8.22% probability that a randomly selected person has a birthday in November.

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3 years ago

Please help me to solve this problem<br>

faust18 [17]

Answer:

$\sqrt{3} + \frac{5\sqrt{3} }{6}$

Step-by-step explanation:

tan(30°) = $\frac{\sqrt{3}}{3}$

cot(30°) = $\sqrt{3}$

sin(60°) = $\frac{\sqrt{3}}{2}$

$\frac{\sqrt{3} }{3} +\sqrt{3} +\frac{\sqrt{3}}{2} = \sqrt{3} +\frac{5\sqrt{3} }{6}$

3 0

3 years ago

Read 2 more answers

A rectangular garden has a perimeter of 172 feet. The length of the garden is 24 feet more than the width. What are the dimensio

Lilit [14]

Given width is 24 less than length.
W=L-24
Perimeter = 2(W+L)=2(L-24+L)=4L-48
But we're also given perimeter = 172'
Therefore 4L-48=172
solve for L
4L=172+48=220
L=55'
W=55-24 = 31'
Check: Perimeter = 2(W+L)=2(31+55)=2*86=172' good!

Answer: The dimensions of the garden are 31' * 55'

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4 years ago

How many ways are there to assign 8 visiting different studetns to one Stony Brook summer course, chossing from Calculus I, Line

Dmitry_Shevchenko [17]

Answer:

56 ways

Step-by-step explanation:

Number of ways is given by n combination r (n!/(n - r)!r!)

n = total number of students = 8, r = the number of summer courses = 3

Number of ways = 8 combination 3 = 8!/(8-3)!3! = 8!/5!3! = 8×7×6×5!/5!×6 = 8×7 = 56 ways

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3 years ago

Please help with this !! ASAP

Aneli [31]

9y+7 + 7y-19 = 180
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3 years ago

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