Answer:
Proven
Step-by-step explanation:
We prove the polynomial with factorization. We must first simplify the expression before we can factorize:



4 is the common number and we can take it out of the expression:

We can factorize further with the x term being zero. For this to be true we must have -2x and 2x to cancel out and therefore the expression is proven:

Joint variation means that w=kxy where k is constant.
Finding k:
12=k*2*18
12=36k
k=1/3
Now plug in second set of values
16= 1/3*6*y
16=2*y
y=8
Final answer: 8
1 /5 = 0 . 2
45 * . 2 = 9
Hope this helped :)
Answer:
Step-by-step explanation:
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Answer:
There are 60 monkeys in the Zoo
Step-by-step explanation:
In this question, we are asked to calculate the number of monkeys in a Zoo given some information to use.
Let’s have the total number of monkeys be m.
60% are going monkeys. This means number of young monkeys is 0.6m.
The number of baby and old monkeys is obviously 0.4m.
Ratio of baby to old monkeys is 3:1. This means if we splitter 0.4m into 4, number of baby monkeys is 0.3m while number of old monkeys is 0.1m
Now, subtracting the number of baby monkeys from young monkeys give a total of 18 monkeys.
Let’s project this mathematically;
This means ;
0.6m - 0.3m = 18
0.3m = 18
m = 18/0.3
m = 60
There are 60 monkeys in the zoo