Look at the picture.
184 = 2 x 2 x 2 x 23
184 = 2 x 2 x 2 x 23
A girls' choir is choosing a concert uniform. They can pick red, green, or purple sweaters, and they can pick tan or black skirt
s.
The shoes only come in
gold and black.
How many different combinations can be made? (What is the sample size?) Make a tree diagram to find the result.
7 ?
8 ?
12 ?
18 ?
The shoes only come in
gold and black.
How many different combinations can be made? (What is the sample size?) Make a tree diagram to find the result.
7 ?
8 ?
12 ?
18 ?
1 answer:
<h3>Answer: C) 12</h3>
======================================================
Explanation:
There are 3 colors of sweaters {red, green, purple} and 2 colors of skirts {tan, black}
So far there are 3*2 = 6 different outfit combinations. Imagine a table with 3 rows representing the sweater colors and 2 columns representing the skirt colors. There would be 6 cells in the table representing each possible combination. One cell would have (red sweater, tan skirt) for instance.
For each of those 6 combinations, we also have 2 shoe colors. So overall we have 6*2 = 12 outfit combinations
The tree diagram is shown below. Note how there are 3*2*2 = 12 different paths to follow.
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</span>You are told that
and you have to solve for x.
<span>
1) </span>Using the info for converting mixed numbers to improper fractions from above, you know that
and 
and 
. Now add/subtract using the info above, isolating the variable x by adding 
to both sides and subtracting 
from both sides.
2) Divide both sides by
to get the inequality for x. Remember the info for dividing from above:
Your final answer is x <
or x < 
.
Also remember:
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- To multiply fractions, multiply the numerators and multiply the denominators. Put the product of the numerators over the product of the denominators.
- To divide fractions, remember that dividing by a fraction is the same as multiplying by the inverse of that fraction (aka fraction flipped).
- To turn mixed numbers into improper fractions, multiply the whole number by the denominator of the fraction. Add the numerator of the fraction to the product you get, and put that final sum over the original denominator.
Back to the problem:
</span>You are told that
<span>
1) </span>Using the info for converting mixed numbers to improper fractions from above, you know that
2) Divide both sides by
Your final answer is x <