Answer:
Step-by-step explanation:
Given:
The magnitude, v=12
The angle 
it makes with the positive x-axis =
Now for a vector (x,y)
; and
Therefore:
Similarly:
Recall that:
Therefore: 
The vector in the form ai+bj is therefore:
Answer: the number of item A that you sold is 11
the number of item B that you sold is 2
Step-by-step explanation:
Let x represent the number of item A that you sold.
Let y represent the number of item B that you sold.
The total number of item A and item B sold is 13. This means that
x + y = 13
The cost of item A is $8 and the
cost of item B is $4. The total amount if money made is $88. This means that
8x + 4y = 88 - - - - - - - - - -1
Substituting x = 13 - y into equation 1, it becomes
8(13 - y) + 4y = 88
104 - 8y = 88
8y = 104 - 88 = 16
y = 16/8 = 2
x = 13 - y = 13 - 2 = 11
Answer:
$1.13
Step-by-step explanation:
Since 6 pound bag of oranges costs $6.78...
Now, let's divide 6.78 in to 6 to find our unit price.
Now we know 1 pound, (our unit price), costs...
The answer is A. x=4.
Start off by distributing the parentheses into the equation.
4x+2(x+6)=36
4x+2x+12=26
Combine like terms.
4x+2x=6x
6x+12=36
Now solve the equation as normal. Begin by subtracting 12 from both sides to isolate the variable.
6x+12=36
-12 -12
---------------
6x = 24
Divide 6 on both sides to find x.
6x=24
---- -----
6 6
x=4
The solution to the equation is 4.
