25 Planes can take off. Divide 60 (minutes) by 12 and it should give you 5. Take that five and multiply it by the number of hours they are asking for (5). 5*5=25.
Answer: 22, 8, 27
Step-by-step explanation: the sum of the 2 shorter sides must be greater than longest side
Answer:
AC = 20
Step-by-step explanation:
C is the midpoint of BD.
That means that BC = CD
BC = x + 4
CD = 3x - 10
x + 4 = 3x - 10 Subtract x from both sides
4 = 3x - x - 10 Combine
4 = 2x - 10 Add 10 to both sides
4 + 10 = 2x - 10 + 10 Combine
14 = 2x Divide by 2
14/2 = 2x/2 Combine
7 = x
AC = AB + BC
AC = 2x - 5 + x + 4
AC = 3x - 1
AC = 3*7 - 1
AC = 21 - 1
AC = 20
Let
x = pounds of peanuts
y = pounds of cashews
z = pounds of Brazil nuts.
The total pounds is 50, therefore
x + y + z = 50 (1)
The total cost is $6.60 per pound for 50 pounds of mixture.
The total is equal to the sum of the costs of the different nuts.
Because the cost for peanuts, cashews, and Brazil nuts are $3, $10, and $9 respectively, therefore
3x + 10y + 9z = 50*6.8
3x + 10y + 9z = 340 (2)
There are 10 fewer pounds of cashews than peanuts, therefore
x = y + 10 (3)
Substitute (3) into (1) and (2).
y + 10 + y + z = 50
2y + z = 40 (4)
3(y + 10) + 10y + 9z = 340
13y + 9z = 310 (5)
From (4),
z = 40 - 2y (6)
Substitute (6) into (5).
13y + 9(40 - 2y) = 310
-5y = -50
y = 10
z = 40 - 2y = 40 - 20 = 20
x = y + 10 = 20
Answer:
Peanuts: 20 pounds
Cashews: 10 pounds
Brazil nuts: 20 pounds
Answer:
10 edges
Step-by-step explanation:
we know that
The Euler's formula state that: In a polyhedron, the number of vertices, minus the number of edges, plus the number of faces, is equal to two
in this problem we have
substitute the given values
solve for E
Combine like terms in the left side
subtract 12 both sides
Multiply by -1 both sides
