Olga tried to solve an equation step by step.
\begin{aligned} \dfrac14\left(\dfrac13k+9\right)&am p;=6 \dfrac13k+9&=24&\green{\tex t{Step } 1} \dfrac13k&=15&\blue{\text{S tep } 2} k&=5&\purple{\text{Step } 3} \end{aligned}
4
1

(
3
1

k+9)
3
1

k+9
3
1

k
k


=6
=24
=15
=5


Step 1
Step 2
Step 3


Find Olga's mistake.

Compare the following pair of numbers a and b in three ways. a. find the ratio of a to b. b. find the ratio of b to a. c. complete the sentence: a is percent of b. a=120 and b=340 a. the ratio of a to b is . b. the ratio of b to a is . c. a is nothing percent of b.

Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 6(t), where t represents time in minutes and p represents how far the paint is spreading. the flowing paint is creating a circular pattern on the tile. the area of the pattern can be expressed as a(p) = 3.14(p)^2 part a: find the area of the circle of spilled paint as a function of time, or a[p(t)]. show your work. part b: how large is the area of spilled paint after 8 minutes? you may use 3.14 to approximate pi in this problem.

Which set of lengths could represent the sides of a triangle? a. 3, 7, 10 b. 4, 5, 10 c. 6, 8, 14 d. 12, 6, 7