Eighty, decreased by three times an number, is the same as five times the number, increased by eight. Then the number is 9
<h3><u>
Solution:</u></h3>
Given that eighty, decreased by three times an number, is the same as five times the number, increased by eight
<em><u>To find: the number</u></em>
Let the required number be "a"
Let us break the given sentence
<em>Eighty decreased by three times an number = five times the number increased by eight</em>
Here "times" represents multiplication and "decreased" represents subtraction and "increased represents "addition"
80 - three times "a" = 5 times "a" + 8
80 - 3a = 5a + 8
80 - 8 = 5a + 3a
8a = 72
<h3>a = 9</h3>
Thus the required number is 9
Answer:
integers, rational numbers
Explanation:
Integers are any whole number (positive or negative). -5 is a whole number, not a fraction or decimal.
Rational numbers can be written in the fraction form a/b where a and b are both integers and b does not equal 0. -5 can be written as -5/1.
<span>All real numbers that are greater than –6 but less than 6 is written as -6 < x < 6</span>
Answer:
Common difference(d) 
(21) -10 -548
(22) -7 -323
(23) 10 547
(24) -100 -5118
Step-by-step explanation:
Let the common difference be denoted by 'd'.
Also the nth difference of an arithmetic sequence is given by: 
(21)
We are given a recursive formula as:

The first term is given by:

The common difference for an arithmetic sequence is given by:

Hence, here we have the common difference as:

The nth term of an arithmetic sequence is given by:

Here
and
.
Hence, 
Hence, 
(22)


The common difference for an arithmetic sequence is given by:

Hence, here we have the common difference as:

Here
and
.
Hence, 
Hence, 
(23)


The common difference for an arithmetic sequence is given by:

Hence, here we have the common difference as:

Here
and
.
Hence, 
Hence, 
(24)


The common difference for an arithmetic sequence is given by:

Hence, here we have the common difference as:

Here
and
.
Hence, 
Hence, 
Answer:
d. negative correlation
Step-by-step explanation:
Two variables are positive correlated when one goes up or down the other goes in the same direction and they are negative correlated when one goes up or down the other variable goes in the other direction.
In this case, the higher the temperature rises, the less snow. Therefore we have a negative correlation