Answer:
Step-by-step explanation:
<em>13).</em> ( x - 2 )( x + 6 ) = 9 × 20
x² + 4x - 12 = 180
x² + 4x - 192 = 0
( x - 12 )( x + 16 ) = 0
= <em>- 16</em>
= <em>12</em>
<em>14).</em> ( x + 4 )[( x + 4 ) + 3x ] = 8 × ( 8 + 19 )
( x + 4 )( 4x + 4 ) = 216
4( x + 4 )( x + 1 ) = 216
( x + 4 )( x + 1 ) = 54
x² + 5x + 4 - 54 = 0
x² + 5x - 50 = 0
( x - 5 )( x + 10 ) = 0
= <em>- 10</em>
= <em>5</em>
<em>15).</em> x( x + 16 ) = 15²
x² + 16x - 225 = 0
( x - 9 )( x + 25 ) = 0
= <em>- 25</em>
= <em>9</em>
<em>16).</em> Now is your turn. You can do it!
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
−5 2/3+3 1/4+(−713) the answer is =
−715.416667
112 <span>≥ b+128
First: You would subtract 128 on both sides of your sign
You would get: -16</span><span>≥ b <That is your answer
HOPE THIS HELPS! ^_^</span>
Answer:
1.4
Step-by-step explanation: