Is that supposed to be x squared, or x times 2 in the beginning of the first one?
Answer:
10 pounds.
Step-by-step explanation:
Let x pounds be the amount of mixed nuts we require.
Amount of peanuts in this mix = 0.70x pounds. Amount of peanuts in the 20% mix = 0.20*15 = 3 pounds.
So we have the equation:-
0.70 x + 3 = 0.40(x + 15)
0.70 x + 3 = 0.40(x + 15)
0.70x + 3 = 0.40x + 6
0.70x - 0.40x = 6 - 3
0.30x = 3
x = 10.
Answer:
b=74
Step-by-step explanation:
You just gotta use sum of angles in a triangle and sum of angles on a straight line.
For this question, the order of the paintings matter, so we can use generic permutation formula.
P = n!/(n-r)!
where:
n= number of paintings
r = number of paintings we are picking (in this case, we are selecting all paintings, as we are rearranging the paintings)
P = 4!/(4-4)!
P = 24/0! = 24 ways
4 paintings can be arranged in 24 different ways.
