A recursive definition for the sequence shown above can be x = n-5.
21 - 5 = 16
16 - 5 = 11
11 - 5 = 6
and so on...
The number sequence has a difference of 5 in each of the values before and after them.
Answer:
26.8 inches of fabrics was used on headband and wristband for each player
Step-by-step explanation:
Headbands for 31 players and 3 couches = 611.66 inches of fabric
Total number of people = 31 players + 3 couches
= 31 + 3
= 34 people
Fabrics per person's headbands = Total inches of fabrics for headbands / total number of people
= 611.66 inches of fabric / 34 people
= 17.99 inches of fabrics per person
Wristband for 31 players = 273.11 inches of fabric
Fabric per person's wristband = total inches of fabrics for wristband / number of players
= 273.11 inches of fabric / 31
= 8.81 inches per person
How much fabric was used on a headband and wristband for each player?
= Fabrics per person's headbands + Fabric per person's wristband
= 17.99 inches + 8.81 inches
= 26.8 inches of fabrics was used on headband and wristband for each player
The equation y = x + 8 uses the slope intercept form
Remember that the slope intercept formula is:
y = mx + b
m is the slope
b is the y-intercept
In this case
y = 1x + 8
m = 1
y = x + 8
b = 8 OR y-intercept of this line is (0, 8)
You can plot the point (0, 8) on a graph. Then to find the next point you will rise up 1 and over right 1 (this is the slope). You can find another point after that by going down one and left one from the point (0, 8)
The graph should look like the one in the image below
Hope this helped! Let me know if you have any further questions
~Just a girl in love with Shawn Mendes
It is prime, it has no factors besides 1,23
Answer:
25
Step-by-step explanation:
When we write expressions for the total cost of each field visit and set them equal, we find the solution to be the ratio of the difference in fixed cost to the difference in variable cost.
y = 75 +7x . . . . . cost for x students to visit the science center
y = 50 +8x . . . . cost for x students to visit the natural history museum
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Subtracting the first equation from the second, we get ...
0 = -25 +x
25 = x . . . . . add 25; the number of students such that costs are equal
The cost will be the same either place for 25 students.
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<em>Additional comment</em>
Here, the fixed cost difference is 75-50=25, and the variable cost difference is 8-7=1. The ratio of these costs is ...
$25/($1 /student) = 25 students.
This relationship only holds when the higher fixed cost is associated with the lower variable cost. Charges are such that one place caters to larger numbers of students (science center), and one prefers fewer students (natural history museum).
