I am a number less than 3,000. When you divide me by 32, my remainder is 30. When you divide me by 58, my remainder is 44. What
1 answer:
You might be interested in
Answer:
Number of servings left is bottle
Step-by-step explanation:
The amount of orange juice in a bottle is modeled by the equation
---Eq (1)
Here y = number of ounces of juice in the bottle
and x = number of servings of juice poured from the bottle
Number of servings left is bottle = number of ounces of juice in the bottle -number of servings of juice poured from the bottle
Thus,
Number of servings left is bottle = y -x
Substracting x from both the sides of the above equation, we get -
Number of servings left is bottle
Answer:
Step-by-step explanation:
The sequence is arithmetic because it is going down/up by the same number each time.
It is going down by 6.
This tells us that the common difference is -6.
The first term is 30.
The following is the explicit form of an arithmetic sequence:
where is the first term and
is the common difference.
So we have and
.
Plugging this information into our explicit formula:
Let's check it.
The first term is :
which is what the pattern reads for the first term.
The second term is :
which is what the pattern reads for the second term.
The third term is :
which is what the pattern reads for the third term.
The fourth term is :
which is what the pattern reads for the fourth term.
This rule certainly does generate the terms of our sequence as we have shown above.
The explicit form with no doubt is .