Answer:
Raisins = 25 kg
Nuts = 15 kg
Step-by-step explanation:
Given that:
Kilograms of snack to be made = 40 kg
Price per kg would be $4.75kg.
Price of 40 kg would be = 4.75 * 40 = $190
Let,
x be the kilograms of raisins
y be the kilograms of nuts
According to given statement;
x+y=40 Eqn 1
4.00x+6.00y=190 Eqn 2
Multiplying Eqn 1 by 4
4(x+y=40)
4x+4y=160 Eqn 3
Subtracting Eqn 3 from Eqn 2
(4x+6y)-(4x+4y)=190-160
4x+6y-4x-4y=30
2y=30
Dividing both sides by 2

Putting y=15 in Eqn 1
x+15=40
x=40-15
x=25
Hence,
Raisins = 25 kg
Nuts = 15 kg
A liter jug of soda, duh. Pour the soda out, use the bottle, put water in it
<span>a.The graph of f(x)= x^2 is widened</span>
Answer: Median= 91; 8th quiz score=86
Step-by-step explanation: The sum of the scores is 8×92=736. Subtract the 6 given scores and then a 100 for the seventh quiz to find the score she got on the 8th quiz, this is an 86. Now that you have all the scores, arrange them all in the least to greatest order and find the average of the middle two numbers (median), which is 91!
Answer with Step-by-step explanation:
We are given that
and
are linearly independent.
By definition of linear independent there exits three scalar
and
such that

Where 

We have to prove that
and
are linearly independent.
Let
and
such that





...(1)

..(2)

..(3)
Because
and
are linearly independent.
From equation (1) and (3)
...(4)
Adding equation (2) and (4)


From equation (1) and (2)

Hence,
and
area linearly independent.