Tobias’s closet has 1 red hat and 1 black hat; 1 white shirt, 1 black shirt, and 1 black-and-white-striped shirt; and 1 pair of
black pants and 1 pair of blue pants. He is picking an outfit by reaching into his closet and randomly choosing a hat, a shirt, and a pair of pants. How many possible outfit combinations are there?
2 answers:
Answer:
There are total 12 outfit combinations.
Step-by-step explanation:
Number of hat are: 2
1 red hat and 1 black hat
Number of shirt are: 3
1 white shirt , 1 black shirt , 1 black-and-white striped shirt.
Number of pants are: 2
1 black and 1 blue
Now, the total number of combinations could be seen with the help of a tree diagram.
We observe that total 12 combinations are possible.
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Answer:
X = 100
Step-by-step explanation:
- In proportion questions, they want you to multiply one of the sides by a variable, (i usually represent it with K) and then change the proportion sign to an equal.
- This is because proportional means they have a ratio between them, with one side increasing by "k" for each increase in the other side.
- Multiply the left by k, so
- we know that y= 5, for x = 36, so sub this in the equation
- simplify
- re-arrange for k, <u>k = 5*6 = 30</u>
- now we know k, we can create the real equation,
- sub in 3 as y
- <u>x = 100</u>