Hmmm lemme do the first one only
In this item, it is not given that there has to be specific arrangement or order as to how the questions are going to be answered. Hence, the concept that can be used in order to answer this item is the concept of combination which states that,
nCr = n! / (r!)(n - r)!
This is read as "combination of n taken r". In this item, n = 10 and r = 4. Substituting the known vaues to the equation,
10C4 = (10!) / (4!)(10 - 4)!
10C4 = 210
Therefore, the number of which is which the questions can be answered is 210.
y/x = k
6.4/4 = 1.6
11.2 / 7 =1.6
16/10 = 1.6
20.8 /13 =1.6
This is a direct variation and the constant is 1.6
y=1.6x
Answer: The temperature decreased by 22 degrees
Explanation: 37 + 14 is equal to 51. So take 51 and subtract 29 from it since the weather decreased and you get 22 as your answer :)
Answer:
Step-by-step explanation:
∠A + ∠B = 90 {∠A & ∠B are complementary}
x + 16 + x - 12 = 90
x + x + 16 - 12 = 90 {Combine like terms}
2x + 4 = 90 { Subtract 4 form both sides}
2x = 90 - 4
2x = 86 {divide both sides by 2
x = 86/2
x = 43
