Barbara wants to buy some glittery heart-shaped beads to make friendship bracelets. The beads she wants come in a small pack with 90 beads or a large pack with 300 beads. The small pack costs $3.60, while the large pack costs $9.00. Which pack is the better value?

Using proportions, it is found that due to the smaller cost per bead, the large pack is the better value.

The pack with the better value is the one with the lowest cost per bead.

The small pack, with 90 beads, costs $3.60, hence, the cost per bead is:

The large pack, with 300 beads, costs $9.00, hence, the cost per bead is:

Due to the smaller cost per bead, the large pack is the better value.

To learn more about proportions, you can take a look at link

i believe it is c.y = 9x

rise over run. 9 units up over 1 unit right or 9/1

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).