No she didn't write the decimal correctly. This is because 50 as a decimal is 0.50 and not 0.05
Answer:
He has 12 ten dollar bills
Step-by-step explanation:
Let t = number of 10 dollar bills
f = number of fifty dollar bills
t+f = 25 since he has 25 bills
solving for f
f = 25 -t
Then we know he has 770 dollars
10t+50f = 770
Using f = 25-t in the above equation
10t + 50 ( 25-t) = 770
Distribute
10t+ 1250 - 50t = 770
Combine like terms
-40t+1250 = 770
subtract 1250 from each side
-40t - 1250-1250 = 770-1250
-40t = -480
divide each side by -40
-40t/-40 = -480/-40
t =12
He has 12 ten dollar bills
Angle 1 and Angle 8 are Alternate Exterior Angles. Therefore, by the Alternate Exterior Angle Theorem, the measure of angle 8 is also 59 degrees. Hope this helped!
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.
