1 An airport employee checked a group of passengers through security on Thursday. On Friday, she checked three times as many passengers, and on Saturday she processed 5,000 passengers through security. In the 3 days, she processed 15,000 passengers. How many did she process on Friday? 10005000300020007500

7,500

Step-by-step explanation

x + 3x + 5,000 = 15,000

     4x  - 5,000 = 10,000

    4x =  10,000

               /4

x =        2,500

On friday, she checked 3x, so she processed 2,500 x 3 = 7,500 passengers.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)