Which of the following equations is equivalent to 1/2x -2/3 y = 5? x - 2y = 30 4x - 3y = 30 3x - 4y = 30

3x -4y = 30

Step-by-step explanation:

Multiply the given equation by the least common denominator of the fractions, 6.

... (1/2x)·6 -(2/3y)·6 = 5·6

... 3x -4y = 30 . . . . . . simplify

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation:

since we know that the two functions are equal, f (x) = g

(x), therefore when we equate the two equations the result should be similar to

3x = x – 4:

a. f(x) = 3x, g(x) = x – 4

equating the two functions:

3x = x – 4             (correct)

so we now got our answer (a)