Answer:
Step-by-step explanation:
you need to cross multiple
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
Answer:
37
Step-by-step explanation:
180 - 45 - 98 = 37
Answer:
y = 7/5x + 18/5
Step-by-step explanation:
so we have y = mx + b
f(1) = 5
f(-4) = -2
so let's find b
so like if you do (5 - (-2))/(1 - (-4)) you get (5 + 2)/(1 + 4) = 7/5
y = 7/5x + b
so now we can plug in a value like f(1) = 5
5 = (7/5)1 + b
b = 18/5
If a box has a square base its volume will be:
V=hb^2 where h is the height...
h=V/b^2 we are told that V=125 so
h=125/b^2 now for the surface area, which consists of the two bases for a total of 2b^2. It will also have four sides with a total area of 4(bh)=4bh so
A=2b^2+4bh, using h found above in this gives us:
A=2b^2+4b(V/b^2)
A=2b^2+4V/b
A=(2b^3+4V)/b, then taking the derivatives we can find the velocity of the area function.
dA/db=(6b^3-2b^3-4V)/b^2
dA/db=(4b^3-4V)/b^2
dA/db=0 when 4b^3-4V=0
b^3=V
b=V^(1/3), since V=125
b=5in, and since h=V/b^2
h=125/25=5in
So the dimensions that will minimize the amount of material used to enclose a volume of 125in^2 is a 5in cube.
h=b=5in
