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example 2 17. home improvement callie wants to build a fence halfway be…

Question

example 2

  1. home improvement callie wants to build a fence halfway between her house and her neighbors house. how far away from callies house should the fence be built?
  2. dining calvinos home is located at the midpoint between fast pizza and pizza now. fast pizza is a quarter mile away from calvinos home. how far away is pizza now from calvinos home? how far apart are the two pizzerias?

Explanation:

Step1: Find the mid - point distance for Callie's fence

The distance between Callie's house and her neighbor's house is 28 yards. To find the distance of the fence (mid - point), we divide the total distance by 2.
$d_1=\frac{28}{2}=14$ yards

Step2: Analyze the pizzeria distances

Since Calvino's home is at the mid - point between Fast Pizza and Pizza Now, and Fast Pizza is a quarter mile (0.25 mile) from Calvino's home. Then the distance from Pizza Now to Calvino's home is also 0.25 mile.
$d_2 = 0.25$ mile

Step3: Calculate the distance between the two pizzerias

The distance between the two pizzerias is the sum of the distances from each pizzeria to Calvino's home.
$D=0.25 + 0.25=0.5$ mile

Answer:

  1. 14 yards
  2. Pizza Now is 0.25 mile from Calvino's home. The two pizzerias are 0.5 mile apart.