Answer:
Step-by-step explanation:
First I want to set up some variables.
S = sum
n = final term
ax = xth term, so a1 is the first term and an is the last one
d = common difference.
There are two formulas to find the sum, if you don't get how they were gotten I'd be happy to explain.
S = (n/2)(a1+an) = (n/2)(2a1+(n-1)d)
So, to find n we use the first one.
S = (n/2)(a1+an)
123 = (n/2)(8+33)
123 = (n/2)41
3 = n/2
6 = n
Now we can find d with the other one
S = (n/2)(2a1+(n-1)d)
123 = (6/2)(2*8+(6-1)d)
123 = 3(16+5d)
41 = 16+5d
25 = 5d
5 = d
so there are six terms and the common difference is 5.
Its 50/50, a game of luck say to so.
Write 6% as a decimal : 6% = 0.06
Multiply the price of the shirts by 0.06:
Tax = 24.00 x 0.06 = $1.44
Answer:
The unknown number is -3
Step-by-step explanation:
Represent unknown as x
Write as an equation
12 + (x * 5) = -3
Multiply
12 + 5x = -3
Subtract -5x from both sides of the equation
12 = -3 - 5x
Add 3 to both sides of the equation
15 = -5x
Divide both sides by -5
x = -3
The unknown number is -3
Hope this helps :)
Step-by-step explanation:
x+y=84
x²=y+6
y+6+y=84
2y+6=84
2y=84-6
2y=78
y=39
x=84-39=45
