Answer:
B = 87.08 pounds @ $0.32
A = 22.92 pounds @ $0.08
Step-by-step explanation:
given,
cost of beans (A)= $ 0.08/pound
and another beans cost (B) = $ 0.32 /pound
total weight of the pound = 110 pound
selling price of mixture = $ 0.27/pound
cost of each bean = ?
A + B = 110
A = 110 - B-------(1)
0.08 A + 0.32 B = 0.27 x 110
0.08 A + 0.32 B = 29.7
Putting value of A
0.08(110 - B) + 0.32 B = 29.7
8.8 - 0.08 B + 0.32 B = 29.7
0.24 B = 20.9
B = 87.08 pounds @ $0.32
A = 22.92 pounds @ $0.08
Answer:
e
Step-by-step explanation:
eeeeeeeeeeee1
Answer:
The resultant velocity of the airplane is 213.41 m/s.
Step-by-step explanation:
Given that,
Velocity of an airplane in east direction, 
Velocity of wind from the north, 
Let east lies in the direction of the positive x-axis and north in the direction of the positive y-axis.
We need to find the resultant velocity of the airplane. Let v is the resultant velocity. It can be calculated as :
v = 213.41 m/s
So, the resultant velocity of the airplane is 213.41 m/s. Hence, this is the required solution.
Answer:
Step-by-step explanation:
When using the substitution method we use the fact that if two expressions y and x are of equal value x=y, then x may replace y or vice versa in another expression without changing the value of the expression.
Solve the systems of equations using the substitution method
{y=2x+4
{y=3x+2
We substitute the y in the top equation with the expression for the second equation:
2x+4 = 3x+2
4−2 = 3x−2
2=== = x
To determine the y-value, we may proceed by inserting our x-value in any of the equations. We select the first equation:
y= 2x + 4
We plug in x=2 and get
y= 2⋅2+4 = 8
The elimination method requires us to add or subtract the equations in order to eliminate either x or y, often one may not proceed with the addition directly without first multiplying either the first or second equation by some value.
Example:
2x−2y = 8
x+y = 1
We now wish to add the two equations but it will not result in either x or y being eliminated. Therefore we must multiply the second equation by 2 on both sides and get:
2x−2y = 8
2x+2y = 2
Now we attempt to add our system of equations. We commence with the x-terms on the left, and the y-terms thereafter and finally with the numbers on the right side:
(2x+2x) + (−2y+2y) = 8+2
The y-terms have now been eliminated and we now have an equation with only one variable:
4x = 10
x= 10/4 =2.5
Thereafter, in order to determine the y-value we insert x=2.5 in one of the equations. We select the first:
2⋅2.5−2y = 8
5−8 = 2y
−3 =2y
−3/2 =y
y =-1.5
