Answer:
(4, 7)
Step-by-step explanation:
The point of interest is ...
P = (2Z +1Y)/(2+1) = ((2·3+6)/3, (2·9+3)/3)
P = (4, 7)
__
The point that divides the segment into the ratio a:b is the weighted average of the endpoints, with the weights being "b" and "a". The weight of the first end point corresponds to the length of the far end of the segment.
So he's mixing:
1 gallon 2 quarts 3 pints of orange juice
1 gallon 3 quarts 7 pints of pineapple juice and
1 gallon 3
<span>
quarts 3 pints of ginger ale
that's:
3 gallons 8 quarts and 13 pints.
2 pints make a quart, so 13 pints make 6 quarts and 1 pint, so actually it's:
</span><span>3 gallons 8+6=14 quarts and 1 pint.
4 quarts are a gallon, and 14 quarts are 3 gallons 2 quarts, so the final answer is:
</span>
<span>3+3=6 gallons 2 quarts and 1 pint. </span>
Answer:
( - infinity, -3 ] [ -2, infinity )
square bracket means it includes the end point.
Step-by-step explanation:
(-∞, -3]U [-2,∞)
Answer:
4.5587
Step-by-step explanation:
this is because standard form of numbers are supposed to be 1 and 9
The request is to find the intersection of the two sets. By definition, the intersection of two sets is another set, composed by all the elements appearing in both sets.
In other words, 
is the set of all elements that P and Q have in common.
P contains all the numbers from 0 to 9, V contains all the odd numbers between 1 and 19. So, their intersection will be the odd numbers between 0 and 9, i.e.
