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Leviafan [203]
3 years ago
12

Julio is planning activities for a trip that lasts from Thursday to Sunday. He is interested in visiting a museum, hiking the tr

ails, attending the food festival, riding a jet ski, exploring a famous park, or going shopping. each activity takes a full day, and he will not do any activity twice. Julio wants to either visit a museum or explore the park on Thursday, and he is definitely attending the food festival on Saturday. How many different ways can he plan activities for his trip?
A)24
B)30
C)40
D)120
Mathematics
1 answer:
Roman55 [17]3 years ago
4 0

Thursday: 2 choices {museum, park}

Friday: 4 choices {shopping, jet ski, hiking, and the choice not chosen for Thu}

Saturday: 1 choice {food}

Sunday: 3 choices {the remaining 3 after Friday's choice}

The total number of ways these choices can be arranged is 2×4×1×3 = 24

The apprpropriate selection is A) 24.

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Step-by-step explanation:

Given:

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Now, for a line with two points on it, the slope of the line is given as:

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For the points (x_1,y_1)=(-6,-3)\ and\ (x_2,y_2)=(6,-7), slope is:

m=\frac{-7-(-3)}{6-(-6)}\\m=\frac{-7+3}{6+6}\\m=\frac{-4}{12}=-\frac{1}{3}

Now, for a line with slope 'm' and a point (x_1,y_1) on it is given as:

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Plug in all the values and determine the equation of the line. This gives,

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Therefore, the equation of the line is:

y=-\frac{1}{3}x-5

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