An 8-ounce weight stretches a spring 10 cm. How much weight will stretch the spring 15 cm?
Actually it's 12 because you have to divde 24 by 2 and it leaves you with 12.
Your wrong lol -_-/?
8 / 10 = x / 15
times 15 on each side
=24
To find the amount of weight that will stretch the spring 15 cm, we can use a proportionality relationship between the weight and the distance it stretches the spring.
Let's first set up the proportion:
weight1 / distance1 = weight2 / distance2
Substituting the given values:
8 oz / 10 cm = weight2 / 15 cm
Now, let's solve for weight2:
weight2 = (8 oz / 10 cm) * 15 cm
To solve this, we need to convert the units so they match. Let's convert ounces to grams (1 oz = 28.35 g) and keep the unit of length in centimeters:
weight2 = (8 oz * 28.35 g/oz) / 10 cm * 15 cm
weight2 = 226.8 g / 10 cm * 15 cm
Now, cancel out the common unit of length:
weight2 = 226.8 g / (10/15)
weight2 = 226.8 g / (2/3)
Finally, simplify the expression:
weight2 ≈ 340.2 g
Therefore, approximately 340.2 grams of weight will stretch the spring 15 cm.