Answer:
number of action figures = 3 + 6(n-1)
at n = 9: number of action figures = 51
Step-by-step explanation:
first row: 3
second row: 6 more than the row before it (3) = 6 + 3 = 9
third row: 6 + 9 = 15
arithmetic series: 
, where
is the nth term in the output
is the first output
n is the input
d is the difference between terms
here, we are given the row, and we want to figure out the number of action figures. thus, row = input and number of action figures = output.
the first output, in the first row, is 3
the difference between the number of action figures in each row is 6
thus, our formula is
when the row is 9, the number of action figures is equal to
3 + 6(9-1) = 3 + 6 * 8 = 51
-3 (2r - 4) > 2 (5 - 3r)
-6r + 12 > 10 - 6r
12 > 10
There is no solution
Answer=65 pairs of shoes
Given the data, the following equation can be made where x is equal to the number of shoes sent to the outlet mall.
845=4x+4x+4x+x
845=13x
divide both sides by 13
65=x
65 pairs of shoes were sent to the outlet mall
To start off take the number of reams of crackers and divide by the total cost of the box: 12/9.89=1.21 and 4/4.29=0.93 to find out how much you pay per ream.
Then what I did was 12x0.93=11.16 (to find out how much you'd be paying with the local price)
Finally subtract 11.16-9.89= 1.27.
So in total you'd save $1.27.
Hope this helps
Answer:
a. 11/5 pi; -9/5 pi
Step-by-step explanation:
Coterminal angles are those which have a common terminal side. For example 30° is coterminal with −330° and 390° (see figure).
From the example we can see that the following expressions must be fulfilled:
positive angle - reference angle = 360°
reference angle - negative angle = 360°
where positive angle is 390°, reference angle is 30° and negative angle is -330°. In this problem reference angle is pi/5. Also, we have to change 360° for its equivalent in radians, i. e., 2 pi. So,
positive angle - pi/5 = 2 pi
positive angle = 2 pi + pi/5
positive angle = 11/5 pi
pi/5 - negative angle = 2 pi
negative angle = pi/5 - 2 pi
negative angle = -9/5 pi
