Number of nickels plus number of dimes equals total number of coins
so
n + d = 40
then they tell us that "there are seven times as many dimes as there are nickels"
this translates to
d = 7n
we then plug that into our first equation
and get
n + 7n = 40
then we solve for n
add like terms
8n = 40
then divide both sides by 8
n = 40/8 = 5
therefore Jimmy has 5 nickels
If we expand bx to jx and kx we have:
5y^2-2y-7
5y^2-7y+5y-7 then factor...
y(5y-7)+1(5y-7)
(y+1)(5y-7)
So the other factor is:
(y+1)
Given functions are
The total number of ducks and swans in the lake after n months can be determined by adding the functions s(n) and d(n).
Taking 2 as common, we get
Hence The total number of ducks and swans in the lake after n months is
Step-by-step explanation:
it all starts with the understanding that "midpoint" means that the line segments on both sides have the exact same length.
this is the same as "cut a pizza or a cake in half".
therefore, we know
10x + 1 = 8x + 13
2x + 1 = 13
2x = 12
x = 6
AB = 10x + 1 = 10×6 + 1 = 60 + 1 = 61
BC = AB but to control : 8×6 + 13 = 48+13 = 61
correct.
AC = AB + BC = 61 + 61 = 122
