At what point do the lines y = x + 7 and y = 5x - 13 intersect?
1 answer:
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Answer:
(A) 180
Step-by-step explanation:
We have to treat those player selections as independent events, since one doesn't influence the other (the fact you chose Joe as a guard, shouldn't have an influence on who'll pick as center, unless there's bad blood between some players... but that's a whole other story).
So, how many ways to pick 2 guards from a selection of 4? The order doesn't seem to matter here, since they don't specify for example that Joe can only play on the left side). So, it's a pure combination calculation:
C(4,2) = 6.
How many ways to pick the 2 forwards from a group of 5? Using the same calculation, we get:
C(5,2) = 10.
And of course, the coach has 3 ways to pick a center player from 3.
Then we multiply the possible ways to pick guards, forwards and center...
6 * 10 * 3 = 180 ways.
Answer:
<em>4 blue marbles</em>
<u>Skills needed: Number Theory, Fractions</u>
Step-by-step explanation:
1) The problem tells us that the jar contains marbles that are either red, green, or blue (No Other Color).
It also mentions that of the marbles are red
and that of the marbles are blue
- The given statement is that 20 marbles are green, and we need to find out the number of blue marbles.
2) We need to first find out the total number of marbles, and then multiply that by to get the # of blue marbles.
---> Given are red and
are blue,
of the marbles are green (since fractions add up to <u>1 whole</u><u>)</u>
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Half the marbles are green.
3) Let's make the total marbles the variable:
---> Since half of (of signifies multiplication) the total marbles are green.
Multiply both sides by 2 to isolate: ,
Total number of marbles is 40.
4) After that, we multiply this by since one-tenth of the total is blue.
--->
4 blue marbles is the answer.