Answer:
1771 possible ways
Step-by-step explanation:
In this case, we need to know first how many candidates are in total:
10 + 3 + 10 = 23 candidates in total.
Now, we need to choose 3 of them to receive an award. In this case, we have several scenarios, but as it's an award we can also assume that the order in which the candidates are chosen do not matter, so, the formula to use is the following:
C = m! / n! (m - n)!
Where m is the total candidates and n, is the number of candidates to be chosen. Replacing this data we have:
C = 23! / 3! (23 - 3)!
C = 2.59x10^22 / 6(2.43x10^18)
C = 1771
So we have 1771 ways of choose the candidates.
Answer:
Step-by-step explanation:
a line parallel to the equation would have the same slope (7/8)
so what we know so far is
y = 7/8x + b
since it has to go through point C (-4, 8)
we’ll plug in those values for x and y (x = -4, y = 8)
8 = 7/8(-4) + b
8 = -28/8 + b
8 = -3.5 + b
b = 11.5
so the equation is
y = 7/8x + 11.5
Answer:
16 oz, 12 oz, 4 oz
Step-by-step explanation:
Since 1 pound is equal to 16 ounces, and you can only use each weight once or not at all, you can determine how much is needed by simply adding.
2 pounds is equal to 32 ounces.
To achieve 32 ounces, you can use a 16 ounce weight, which will then bring the scale to need 16 ounces.
After this you can youse a 12 ounce weight, which brings it down to 4 ounces.
The last weight needed is the 4 ounce weight which will then level out the balance scale.

You pass the free terms wich don't contain 'x' in the othe part of the equal with changed signe ans the same for the terms wich contain x.