Answer:
500
Step-by-step explanation:
Rate at which first ticket printer works is 450/9 = 50 tickets per minute
Speed of second ticket printer is twice than that of the first.
So, speed of second printer is 100 tickets per minute.
In 5 minutes,second printer made 500 tickets
Answer:
There are 12 pentapods and 8 Tripods, which in total add up to 84 feet.
Step-by-step explanation:
Given that both the Tripods and the Pentapods have, at least, 3 feet (the Pentapods have 5), and that in total between both groups they add 20 heads and 84 feet, the following logical reasoning can be made:
If there are 20 heads, there are 20 Martians in all. Each of them has, at least, 3 feet, with which in principle the 20 Martians would add up to a total of 60 feet (20 x 3). Therefore, there is a surplus of 24 feet (84 - 60).
If the Pentapods have 2 feet more than the Tripods, the number of Pentapods in the total Martians is determined by that difference. Thus, if there are 24 feet left, there are 12 Pentapods (24/2).
Therefore, in the group of Martians there are 12 pentapods (12 x 5 = 60) and 8 Tripods (8 x 3 = 24), which in total add up to 84 feet (60 + 24).
Since you asked, simply, to know how a ratio is equivalent to another.
Ratios are like fractions in the way that they can be multiplied and simplified. 1:2, for example, can also be 10:20, 5:10, etc. This is inherent to the way a ratio works - say, for every 1 person, there are two cheese slices. This means that when the group gets larger, so does the amount of cheese slices.
Now, to find an equivalent ratio. You can simplify 4:6 by finding the GCF (greatest common factor) of these two numbers - something you can divide both of them by evenly. In this case, the GCF is 2. We divide both 'sides' by 2, and we get a simplified ratio of 2:3. You can then multiply this by different numbers (ones that are logical and could reasonably lead you to an answer on your worksheet or whatnot) until you find an equivalent ratio.
What this is asking is for you to plug values into the following function:
Since the question is asking you to find
, this is how you work it out:
You take the function;
And plug the numbers indicated in for x;
So the answer to f(3) - f(1) =
x^2 + 4x + 3
-----------------------
x^2 + 9x + 18
(x + 3) (x + 1)
= -----------------------
(x + 3) (x +6)
(x + 1)
= -------------
(x +6)
