The ratio of the number of cupcakes to the number of pastries in a box is 7: 2. which table shows the possible amounts of cupcakes and pastries in a box, given the ratio?

cupcakes pastries
7 2
21 6
42 8
84 10

cupcakes pastries
7 2
21 6
28 12
35 24

cupcakes pastries
7 2
21 17
42 38
84 80

cupcakes pastries
7 2
14 4
28 8
56 16

Option D is the correct choice.

Step-by-step explanation:

We have been given that the ratio of the number of cupcakes to the number of pastries in a box is 7:2. We are asked to choose the table which represents the possible amounts of cupcakes and pastries in a box, given the ratio.

We can see that the ration in first three tables are not equal.

The amounts of cupcakes and pastries in a the 4th table are in the same ratio as:

Therefore, last table is the correct choice.

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.

answer: it is 1: 47 pm