It cost $5.25 for a bottle of 150 vitamins. if the cost varies directly with the number of vitamins in the bottle, what should a bottle of 250 vitamins cost? what is the equation o the situation?
Could you please give me the equation and show me how you got it please so I could understand... thanks.

$8.75 for 250 vitamins.

Step-by-step explanation:

To find how much each vitamin costs we can divide $5.25 by 150.

5.25/150 = 0.035. So each vitamin is equal to $0.035.

We can then multiply the cost of 1 vitamin by 250.

0.035 x 250 = 8.75 or $8.75.

We can also make an equation for this problem. Let the total cost be equal to y and each vitamin equal to x.

y = 0.035x

So the equation above states that the total cost, y, is the amount of vitamins that are bought.

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

56

step-by-step explanation: