Orlando is measuring the angles of a triangle. He measures the first two angles and gets 30° and 70°. What should be the measure
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First box = 14 pounds
Second box = 2x = 28 pounds
Third Box = x+2= 16 pounds
Fourth box = x/2 = 7 pounds
<u>Step-by-step explanation:</u>
Here we have , Sixty-five pounds of candy was divided into four different boxes. The second box contained twice the amount of the first box. The third box contained two more pounds than the first box. The last box contained one-fourth the amount in the second box. We need to find How much candy was in each box. Let's find out:
We have a total of 65 pounds of candy ! Let in first box we have x pounds so , second box contained twice the amount of the first box i.e.
⇒
The third box contained two more pounds than the first box i.e.
⇒
The last box contained one-fourth the amount in the second box i.e.
⇒
Therefore , Sum of pounds of candy are :
⇒
⇒
⇒
⇒
⇒
Therefore , Candy in each box is :
First box = 14 pounds
Second box = 2x = 28 pounds
Third Box = x+2= 16 pounds
Fourth box = x/2 = 7 pounds
The properties of the mathematical sequence allow us to find that the recurrence term is 1 and the operation for each sequence is
a) Subtraction
b) Addition
c) AdditionSum
d) in this case we have two possibilities
* If we move to the right the addition
* If we move to the left the subtraction
The sequence is a set of elements arranged one after another related by some mathematical relationship. The elements of the sequence are called terms.
The sequences shown can be defined by recurrence relations.
Let's analyze each sequence shown, the ellipsis indicates where the sequence advances.
a) ... -7, -6, -5, -4, -3
We can observe that each term has a difference of one unit; if we subtract 1 from the term to the right, we obtain the following term
-3 -1 = -4
-4 -1 = -5
-7 -1 = -8
Therefore the mathematical operation is the subtraction.
b) ...
In this case we can see more clearly the sequence when writing in this way
each term is found by adding 1 to the current term,
Therefore the mathematical operation is the addition
c)
The recurrence term is unity, with the fact that the sequence extends to the right and to the left the operation is
- To move to the right add 1
-
- To move left subtract 1
Using the properties the mathematical sequence we find that the recurrence term is 1 and the operation for each sequence is
a) Subtraction
b) Sum
c) Sum
d) This case we have two possibilities
- If we move to the right the sum
- If we move to the left we subtract
Learn more here: brainly.com/question/4626313