6 CO2 + 6 H2O ---> C6H12O6 + 6 O2 The equation above represents the production of glucose (C6H12O6) and oxygen (O2) in plants. If 120.0 grams of glucose are produced, how many grams of carbon dioxide (CO2) were used?
Known: Final Mass of Glucose = 120.0 g Molar ratio of glucose to carbon dioxide = 1:6 Molar Mass of Glucose = 180.16 g/mol Molar Mass of Carbon Dioxide = 44.01 g/mol Solution: (120 g C6H12O6)*(1 mol C6H12O6/180.16 g C6H12O6) *(6 mol CO2/1 mol C6H12O6)*(44.01 g CO2/1 mol CO2) = 175.9 grams of CO2
The similarities between the bone structure in a bat wing and a human arm are due to? A) Analogous Evolution B) Homologous Evolution C) Homoplasy D) Vestigial Structures
A) Analogous Evolution -The answer cannot be A because analogous structures are from separate unrelated species developing similar structures. i.e the wings on a fly and the wings on a bat B) Homologous Evolution -Homologous evolution includes species with a common ancestor having similar structures due to their shared ancestry. Bats and humans are classified as mammals and share at least one common ancestor which would explain similarity in structures. B is the correct answer. C) Homoplasy -Homoplasy is when a characteristic is shared by several unrelated species, so C is not the correct answer. D) Vestigial Structures -Vestigial structures are structures that had a function in the ancestors but currently have no specific function. (i.e the appendix) D is incorrect.
Marina hired an electrician to fix her air conditioning. If the final cost was $55.50 with an $30 hiring fee and $5.25 for each additional hour. How long did the electrician work in minutes?
The known variables are: Final Cost: $55.50 Initial Cost: $30 Additional Cost Per Hour: $5.25 Unknown Variable: The amount of time the electrician measured in hours, which is represented by t. The Final Formula is: $30 + $5,25t = $55.50 (Initial Cost + (Additional Cost per hour)(Number of Hours) = Final Cost Solution: $30 + $5,25t = $55.50 $5.25t = $55.50 - $30 $5.25t = $25.50 t = $25.50/5.25 t = 4.86 hours (rounded to nearest hundredth) However, the question asked for the time in minutes, 1 hour = 60 minutes (4.86 hours)(60 minutes/hour) = 291.43 minutes