Clara is growing her hair out and wants it to be no longer than 15 cm but more than 11 cm. Her hair is 7 cm right now and grows
at a rate of 0.25 cm per week. Let t be the time in weeks. Which compound inequality models the scenario? 0.25 + 7t > 11 or 0.25 + 7t ≤ 15 7 + 0.25t ≥ 11 or 7 + 0.25t < 15 11 ≤ 0.25 + 7t < 15 11 < 7 + 0.25t ≤ 15
After t weeks, Clara's hair will be 7 + 0.25t cm long. "No longer than" means that we use the symbol ≤ and "more than" means that we use the symbol >, hence, the answer is 11 < 7 + 0.25t ≤ 15.
To this mixture we're adding ounces of water, so that the new mix has a total volume of ounces and matches the composition of the coffee Lily likes. This means it would consist of
ounces of water
ounces of cocoa (same amount of cocoa as before because pure water is being added)
Solve for :
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Just to confirm: the new mixture consists of
ounces of water
ounces of cocoa
giving a total volume of ounces of coffee, and , as required.