Answer:
-1
Step-by-step explanation:
Answer:
In an arithmetic sequence, the difference between any two consecutive terms must always be the same number, which is known as the common difference.
So we just need to take different pairs of consecutive terms and see if their difference is always the same:
1) The differences are:
32 - 35 = -3
29 - 32 = -3
26 - 29 = -3
So yes, this is an arithmetic sequence and the common difference is -3
2) The differences are:
-23 - (-3) = -20
-43 - (-23) = -20
-63 - (-43) = -20
This is an arithmetic sequence, and the common difference is -20
3) The differences are:
-64 -(-34) = -30
-94 -(-64) = -30
-124 -(-94) = -30
This is an arithmetic sequence and the common difference is -30
4) The differences are:
-40 -(-30) = -10
-50 - (-40) = -10
-60 - (-50) = -10
This is an arithmetic sequence and the common difference is -10
5) The differences are:
-9 - (-7) = -2
-11 - (-9) = -2
-13 - (-11) = -2
This is an arithmetic sequence, and the common difference is -2
6) The differences are:
14 - 9 = 5
19 - 14 = 5
24 - 19 = 5
This is an arithmetic sequence, and the common difference is 5.
Answer:
x = 8
Step-by-step explanation:
3x - 5 = 2.5x + 3 - (x - 4)
<em>open parentheis</em>
3x - 5 = 2.5x + 3 - x + 4
3x - 5 = 1.5x + 7
<em>subtract 1.5x from both sides of the equation</em>
3x - 1.5x - 5 = 7
1.5x - 5 = 7
<em>add 5 to both sides of the equation</em>
1.5x = 7 + 5
1.5x = 12
<em>divide both sides of the equation by 1.5</em>
1.5x/1.5 = 12/1.5
x = 12/1.5
x = 8
Answer:
$38.5
Step-by-step explanation:
First we need to convert 250 centimeters to meters:
250 cm = 2.5 m
To find how much did Mimi pay for the fabric, we can use a rule of three:
One meter of fabric costs $15.40, so what is the cost of 2.5 m?
1 m -> 15.4
2.5 m -> x
x = 15.4 * 2.5 = $38.5
Mimi will pay $38.5 for the 250 centimeters of fabric.
Answer:
the equation to find the slope is (y2-y1)/(x2-x1)
the points are (-1,2) and (2,2) so plug it in and you get
(2-2)/(2-(-1))
0/ (2+1)
0/3
whenever the numerator is 0, that means the slope is 0. the line is just a horizontal line.
