To model half-life, use the formula

. Here,

is the amount remaining after a length of time

.

is the amount that you start with.

is the half-life. You plug in 50 for

, 10 for

, and 25 for

. You get

.
Answer:
5 carnations in each arrangement
Total of 60 carnations used
Step-by-step explanation:
First calculate how many flowers are in each arrangement by dividing the total number of flowers by the number of arrangements:
96 ÷ 12 = 8
Given each arrangement has 3 roses, subtract 3 from 8 to find the number of carnations in each arrangement:
8 - 3 = 5
Therefore, there are 5 carnations in each arrangement
Total number of carnations used = 5 x 12 = 60
The correct two-way frequency table for the date will look like this:
RAP ROCK COUNTRY TOTAL
Grades 9-10 40 30 55 125
Grades 11-12 60 25 35 120
TOTAL 100 55 90 245
The sum of the row total is equal to the sum of the column total
125 + 120 = 100 + 55 + 90
245 = 245
52/8 = 6
6*8 = 48
52-48 = 4
So 52 = 6*8+4
The quotient is 6, the remainder is 4.
165\15= number of tubs
165 divided by 15 equals the amount of the tubs that he sold.
(I assume the two different name things, isaac&dominic, is a mistake since there isnt any information for Dominic)