An for arithmetic sequence, an = a + (n - 1)d
a8 = a + (8 - 1) x 5 = a + 7 x 5 = a + 35 = 56
a = 56 - 35 = 21
Therefore, an = 21 + (n - 1) x 5 = 21 + 5n - 5 = 16 + 5n
an = 16 + 5n
Answer:
DC=30
CM=15
Step-by-step explanation:
Given
Triangle DEF with C centroid
DM=45 (length of median)
centroid divides median in the ratio 2:1(larger side at vertex)
⇒
DC
⇒DC=30
DC+ CM=DM
30+CM=45
⇒CM=15
The area of the figure is 41 square feet. Hope this helps!
Answer:
3/10 of the whole cake
Step-by-step explanation:
When you divide a cake in halve you get 5 pieces on each side, if Kim ate 3/5 of 1/2 of the cake, then she ate 3 pieces, so she ate 3/10 of the cake, and other way to figure this out is multiplying the two fractions, 3/5 x 1/2 = 3/10
Let x be how many hot dogs person b ate
therefore, person a ate x+8 hotdogs
and person c ate x-10 hotdogs
they all ate 130 hotdogs in total so
x + x + 8 + x - 10 = 130
3x -2 = 130
3x = 132
x = 44
so person b ate 44 hotdogs
person a ate 8 more so 52 hotdogs
and person c ate 10 less than person b so 34 hotdogs
