8. there are 3 people who work full-time and are to work together on a project, but their total time on the project is to be equivalent to that of only one person working full-time. one of the people is budgeted for 1 /2of his time to the project and a second person for 1/3 of her time, what part of the third worker’s time should be budgeted to this project?

1/6 of the third workers time

Step-by-step explanation:

one of the people is budgeted for 1 /2 of his time to the project and a second person for 1/3 of her time

Let x be the third workers time

Let the completed job time = 1

Time taken for 3 workers to complete the job = 1

now we solve for x

LCD = 2*3 = 6

We multiply the whole equation by 6

3 + 2 +6x = 6

5 + 6x = 6

subtract 5 on both sides

6x = 1

divide both sides by 6

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.

answer: the resulting cross section is a rectangle. solution: a plane parallel to the base of a triangular prism will intersect a cross section that is the same shape as its bases. so the cross section is a triangle.

step-by-step explanation: