Answer:
Almond: $7/4 per pound
Jelly Bean: $ 11/4 per pound
Step-by-step explanation:
A: almond
J: jelly bean
3A + 5J = 19 .... multiply 9 each side
27A + 45J = 171 .....(1)
9A + 7J = 35 .....multiply 3 each side
27A + 21J = 105 ....(2)
(1) - (2) 24J = 66
J = 66/24 = 11/4
3A + 5 x 11/4 = 19
3A = 21 / 4
A = 7/4
Answer:
1) 1 element
2) 13 elements
3) 22 elements
4) 40 elements
Step-by-step explanation:
1) Only one element will have no tails: the event that all the coins are heads.
2) 13 elements will have exactly one tile. Basically you have one element in each position that you can put a tail in.
3) There are 
elements that have exactly 2 tails. From those elements we have to remove the only element that starts and ends with a tail and in the middle it has heads only and the elements that starts and ends with a head and in the 11 remaining coins there are exactly 2 tails. For the last case, there are 
possibilities, thus, the total amount of elements with one tile in the border and another one in the middle is 78-55-1 = 22
4) We can have:
- A pair at the start/end and another tail in the middle (this includes a triple at the start/end)
- One tail at the start/end and a pair in the middle (with heads next to the tail at the start/end)
For the first possibility there are 2 * 11 = 22 possibilities (first decide if the pair starts or ends and then select the remaining tail)
For the second possibility, we have 2*9 = 18 possibilities (first, select if there is a tail at the end or at the start, then put a head next to it and on the other extreme, for the remaining 10 coins, there are 9 possibilities to select 2 cosecutive ones to be tails).
This gives us a total of 18+22 = 40 possibilities.
Answer:
Well, one thing, is that a triangle's side's angles add up to 180 degrees. So right now, you have 64 degrees as ONE side. x is very easy to find, because it is a right angle. A right angle is always exactly 90 degrees. So as for now, you have 90 degrees, and 64 degrees. Now add up the two sides, and subtract. (180 degrees - 154 degrees) so, the third side would have to be 26 degrees, if my calculations are right. The top is an acute triangle, the left angle is the right angle, and the given angle is 64 degrees, which is an acute triangle.
I really hope this helped you! Thanks! Have a great day!
Answer:
are or rectangle = l*b
252= (x+2) (2x+1)
252= 2x²+x+ 4x +2
2x²+5x -250=0
(x-10) (2x+25)=0
so x=10
using sum and product method
Step-by-step explanation:
Answer:
28.39
Step-by-step explanation:
3 : 3√3 = 3√3 = a
a = (3√3)^2/3 = 27/3 = 9
hypotenuse = 9 + 3 = 12
3 : b = b : 12
b^2 = 36
b = 6
9 : c = c : 12
c^2 = 108
c = 10,392305
Perimeter = 10,392305 + 12 + 6 = 28,392305
