If three adults and two children go to the movies, it costs $33.50. if one adult and four children go to the movies, it costs $30.50. what is the cost of one adult movie ticket?

$5.80
$6.40
$7.30

  $7.30

Step-by-step explanation:

The problem statement gives rise to two equations:

If we double the first equation and subtract the second, we have ...

  2(3a +2c) -(1a +4c) = 2(33.50) -(30.50)

  5a = 36.50 . . . . simplify

  a = 7.30 . . . . . . .divide by 5

The cost of one adult ticket is $7.30.

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.

irrational, then, just means all the numbers that aren't rational. every integer is a rational number, since each integer n can be written in the form n/1. however, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

step-by-step explanation: