Number of pennies:P
Number of nickels:N
Number of dollar bills:D
P=N+12
N=D+5
1P+5N+100D=996
^given
Therefore
P=(D+5)+12
P=D+17
Plug back into main equation
(D+17)+5(D+5)+100D=996
Combine like terms
106D+42=996
106D=954
D=954/106=9
9 Dollar bills
N=D+5
N=(9)+5=14
14 Nickels
P=N+12
P=(14)+12=26
26 Pennies
26*1+14*5+9*100=996
Final answer:
9 Dollars
14 Nickels
26 Pennies
3 sq rt of 7 is a terminating decimal meaning it ends t therefore it's a rational number
Answer:
use Pythagoras theorem
the missing side is base
Step-by-step explanation:
pythagoras theorem
h^2 = p^2 + b^2
73^2 = 48^2 + b^2
5329 = 2304 + b^2
5329 - 2304 = b^2
3025 = b^2
√3025 = b
55 = b
To find the x intercepts, we need to put the standard form equation into factored form.
Which two numbers multiply to -8 and add to -2?


So the factored form is

That means the x intercepts are at 
So now we have the x intercepts.
To find the vertex, we need to convert the standard form equation into vertex form.
The formula of vertex form is 
Since the a value in the standard form equation is 1, the a value in vertex form is also one.
The h value can be found using the formula 
Which comes out to
or 1.
To find the k value, we can just plug in what we got for h back into the equation.

So the vertex is
.
This also means the axis of symmetry is 
Finally, to find the y intercept, we plug in 0 for x and solve.

So the y intercept is
.
400/12 = # of dozen needed
.89 * # of dozen needed
400/12=33.33 need 34 dozen
.89*34=$30.26