Five cat were in a tree. Five more cats go into the same tree. X equals the number of cats in the tree. Anna got X=5, is anna co
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Hi! I'm happy to help!
To solve this problem, we need to divide the recipe amount in 1/6 amounts. So, we will do a fraction division problem like this:
15÷
This problem is hard to do with mixed numbers, so we need to turn 15 into an improper fraction. To do that we need to multiply 15 by 6, because that is our denominator, then add the extra
.
(15×6)+1
90+1
91
So, our improper fraction would be, now, let's solve.
÷
It is difficult to do division problems on their own, so we can change this into an easier problem. We can do the inverse operation and turn this into multiplication. We do this by changing it to multiplication (obviously), then flip the second fraction.
×
Now, we just multiply the top by the top, and bottom by the bottom.
We could end it here, but we want a whole number, so, we simplify the number by dividing both the top and bottom by 6.
Anything over 1, is just a whole number
91.
<u>Therefore, the recipe should require 91 uses of the 1/6 cup.</u>
I hope this was helpful, keep learning! :D
Answer: = 3 ;
=
+ 2.5, where k ≥ 2
Step-by-step explanation:
To define a sequence recursively, we must state the first term and then state a rule for how each successive term can be described from the one before it. For instance, suppose I had the sequence 5, 8, 11, 14, ...
The first term would be = 5
Each successive term where subscript k = 2 for the second term, 3 for the third, and so on, would be =
+ 3
So, for my example, the recursive definition for that sequence would be
= 5 ;
=
+ 3, where k ≥ 2
In the exercise you have, we go up 2 terms from the first to the third and the value goes up 5 units. We go up 4 terms from the third term to the 7th, we go up 10 units. Apparently, we go up 2.5 units in value as we go from one term to the very next one.
So ...
= 3 ;
=
+ 2.5, where k ≥ 2
This happens to be an arithmetic sequence, because we go up the same amount from one term to the next, but please do not assume that is required for creating a recursive definition. It is not.
I hope this helps.
Answer:
8
Step-by-step explanation:
