To answer these questions, we need to break down the information given and perform some calculations. Let's tackle each question one by one:
1) First, let's find out how many flowering plants there are. We know that out of the 236 plants, 150 will flower. Thus, the fraction of flowering plants is 150/236.
a) To find the fraction of flowering plants with yellow flowers, we multiply the fraction of flowering plants by the fraction with yellow flowers. So, (150/236) * (1/3) gives us how many of the flowering plants have yellow flowers.
b) To find the fraction of flowering plants with white flowers, we multiply the fraction of flowering plants by the fraction with white flowers. So, (150/236) * (1/4) gives us how many of the flowering plants have white flowers.
To find the fraction of flowers that will be yellow or white, we add the fractions calculated in parts a) and b).
2) For this question, we need to calculate how many flowering plants will be needed to be placed along the 5-foot pathway. We know that a plant will be placed at each end of the pathway, leaving a space of 6 inches (or 0.5 feet) between each plant.
To find the number of plants needed, we need to calculate the number of gaps between plants and add 1 to account for the plants at the ends of the pathway.
The length of the pathway is 5 feet, and each plant needs 0.5 feet of space. So, we divide the length of the pathway by the space needed between plants (5 / 0.5), and add 1 to account for the plants at the ends.
3) To find the fraction of plants that have been watered, we need to add the fractions of plants watered in the morning and in the evening. We are given that 1/5 of the plants were watered in the morning and 3/10 of the plants were watered in the evening. So, we add these two fractions.
By following these steps, we can find the answers to all three questions using the given information and calculations.