A health clubs membership fee is $10 per month for students and $25 per month for all other members. The health club had a total of 900 members during the month of october and received a total of $18,000 in memberships. How many students were members of the health club during the month of october

300 students were members of the health club during the month of october.

Step-by-step explanation:

Let x represent the number of students that were members of the health club during the month of october.

Let x represent the number of other members of the health club during the month of october.

The health club had a total of 900 members during the month of October. This means that

x + y = 900

The health clubs membership fee is $10 per month for students and $25 per month for all other members. They received a total of $18,000 in October. This means that

10x + 25y = 18000 - - - - - - - - - - -1

Substituting x = 900 - y into equation 1, it becomes

10(900 - y) + 25y = 18000

9000 - 10y + 25y = 18000

- 10y + 25y = 18000 - 9000

15y = 9000

y = 9000/15

y = 600

x = 900 - y = 900 - 600

x = 300

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

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