Answer:
P=$254
Step-by-step explanation:
let Hot N' Spicy be x
and Mild Mannered be y
the objective function is
38x+35y=P
the constraints are
1. tomato sauce
2x+3y=18--------1
2. hot peppers
2x+y=10--------2
solving 1 and 2 we have
using substitution method
2x+y=10--------2
y=10-2x
put y=10-2x in eqn 1
2x+3(10-2x)=18
2x+30-6x=18
2x-6x=18-30
-4x=-12
x=12/4
x=3
put x=3 in eqn 2 we have
2(3)+y=10
6+y=10
y=10-6
y=4
He should make 3 gallons of Hot N' Spicy
and 4 gallons Mild Mannered
38(3)+35(4)=P
114+140=P
254=P
P=$254
Answer:
Hey there!
They are congruent by AAS, where two angles and one side is congruent.
Hope this helps :)
Answer:
15,120 for the first question. 1,680 if one of the books is a must
Step-by-step explanation:
When Ron chooses his first book, he has 9 options. After that, when he chooses his second book, he only has 8 choices because he already picked one of them. By his third choice, he only has 7 choices and so on.
We can make an equation to represent this,
9 x 8 x 7 x 6 x 5
Multiplying all of that out gets you 15,120.
The second problem is even easier. Since one of the books is already chosen for him, he starts off only having 8 options. Since he is only choosing four books this time, we are only multiplying four numbers.
8 x 7 x 6 x 5
Multiplying all of that out tells you there are 1,680 ways he can make his selection in the second scenario.
I think it is 0 because I googled it.
