Answer:
16
Step-by-step explanation:
Take the sequence in 1a
The 10th term is 31
The 20th is 61
If you wanted to find these by continuing the series, you'd have to add 3 to the last number in the series, then 3 more, then 3 more, until you reach the 20th term. By this point, you will have added 3 to the first term 19 times. That's where the formula comes from. So here,
a = 4, the first term
n = 20, the number of the term we need
d = 3, how much we're adding each time between one term and the next
Then, to get the 20th term,
4 + (20 - 1) • 3 = 4 + (19 • 3) = 4 + 57 = 61
Answers
The 10th and 20th terms of each sequences are
a. 31; 61
b. 48; 98
c. 47; 97
(in <em>c</em>, you're adding the same <em>d</em> as in the sequence above, but your first term is one unit less)
d. -25; -75
(same thing as before, but now, <em>d</em> is negative)
e. 11.5; 16.5
(with <em>d</em>=1/2 or 0.5)
f. 6+1/2; 8+1/2
Use these to check your answers after applying the formula, but know that I calculated on the fly and didn't check these.
Answer:
12 months
Step-by-step explanation:
Theres an awful amount of needless information to get through.
Only the last paragrph is needed.
C(t) = 180 + 10t
C(t) = 25t
Set the equations equal
25t = 180 + 10t
Subtract 10t from both sides
15t = 180
Divide both sides by 15
t = 12
Jorge would have $8.25 left. This answer does not include 9 cups + the $1.75 it said he bought in the beginning. I’m pretty sure the 9 is the total amount of cups he bought. If it isn’t then subtract another $1.75 and you should get $6.50
The first thing we must do for this case is to define variables:
p = total number of paperclips
x = paper clips added by carmen.
The equation that models this situation is:
p = x + 37
Answer:
An equation that models the total number of paperclips in the box is:
p = x + 37
