max is bisecting a segment. first. he places the compass on one endpoint and opens it to a width larger than half of the segment

Complete question;

A booster club financed pizzas for an end-of-season celebration. The cost was $13 for each pepperoni pizza and $11 for each plain pizza. They purchased a

total of 18 pizzas for the event, totaling $212.

Organize the numbers into an equation that represents this scenario with x being the number of pepperoni pizzas and y being the number of plain pizzas purchased.

Answer:

13x + 11y = 212

Step-by-step explanation:

Two varieties of pizza were purchased: pepperoni and plain. The pepperoni variety cost $13 each while the plain one cost $11 each. In total, they bought 18 pizzas.

The overall expenditure on the pizzas was $212.

total number of pizzas = 18

total amount spent on pizzas = $212

x represents the number of pepperoni pizzas

y represents the number of plain pizzas

The cost of the pepperoni pizzas is derived by multiplying the number of pizzas by their individual price. The same calculation applies for the plain pizzas.

Therefore, by summing the costs of both pizza types, we arrive at the total price for the pizzas.

13x + 11y = 212

Solution:

Let x be the distance in miles from the house to the theater.

Total time taken for the trip

Then average speed

Terrence walks at a speed of 2 miles per hour to the theater and returns home at 40 miles per hour.

Thus, Average Speed mi/hr

Both average speeds must be equivalent. Hence, we can express this as:

Consequently, the distance from home is 13.125 miles.

Part A

The weight of a wire piece correlates directly to its length

⇒ Weight of wire (W) is proportional to Length of wire (L)

⇒ W = k × L

With L = 25 cm, then W = 6 gms

⇒ = k

⇒ k =

To find weight for 30 cm wire, substitute k and W into W = k × L

⇒ W = × 30

⇒ W = 7.2 gms

Part B

p is inversely proportional to m

⇒ p = k × m

If p=48 when m=9

k =

⇒ k =  

Now to deduce p when m = 12, replace m and k in p = k × m

p = × 12

⇒ p = 64