Astudent earns $7.50 per hour at her part-time job. she wants to earn at least $200. enter an inequality that represents all of the possible numbers of hours (h) the student could work to meet her goal. enter the least whole number of hours the student needs to work in order to earn at least $200

7.50 h  ≥200

She needs to work  27 hours to earn at least $200.

Step-by-step explanation:

Hi, to write the inequality we have to analyze the information given:

So, she earns $7.50 per hour, the expression that represents the statement is $7.50h.

She wants to earn at least $200, "at least" means more or equal (≥200).

Mathematically speaking:

This is the inequality that represents all of the possible numbers of hours (h) the student could work to meet her goal.

For the second part we simply solve the inequation:

7.50 h  ≥200

h ≥200/7.50

h ≥ 26.67  

Rounded to the nearest whole number:

h ≥ 27  

She needs to work  27 hours to earn at least $200.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)