Answer:
Multiply vector c by the scalar -1/2.
Step-by-step explanation:
Look at vector c.
It has an x component of 4 and a y component of 4.
You can write vector c as a sum of its components using unit vectors in the x direction (i) and in the y direction (j).
c = 4i + 4j
Now look at vector d, and write it also as a sum of its x and y components.
d = -2i - 2j
Now ask yourself, what operation do I do to 4 to end up with -2?
One answer is to multiply 4 by -1/2.
d = (-1/2)c = (-1/2)(4i) + (-1/2)(4j) = -2i - 2j
That worked. By multiplying vector c by the scalar -1/2, you end up with vector d.
Answer:
10 people lesser.
Step-by-step explanation:
Initially, it 15 people get off but 9 people get picked up, hence losing 6 people. If 4 more people get off, it has then lost 10 people total.
The original number of passengers on the bus decreased by 10 after the second stop
Assume that the total passengers on the bus before 2:30 was x
Now, at 2:30:
15 passengers got off and 9 got on.
This means that:
number of passengers = x - 15 + 9
number of passengers = x -6
10 minutes later:
4 passengers got off the bus
This means that:
number of passengers = (x-6) - 4
number of passengers = x - 10
The original number of passengers on the bus decreased by 10 after the second stop.
Let, money spend by jane = x
Maggie spend = 2x-6
So, x+2x-6 = 45
3x= 51
x=17, 2x-6 = 28
So, jane spend $17 & Maggie spend $28
Answer:
x = -7
Step-by-step explanation:
Simplifying
5x + 130 = 8x + 151
Reorder the terms:
130 + 5x = 8x + 151
Reorder the terms:
130 + 5x = 151 + 8x
Solving
130 + 5x = 151 + 8x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8x' to each side of the equation.
130 + 5x + -8x = 151 + 8x + -8x
Combine like terms: 5x + -8x = -3x
130 + -3x = 151 + 8x + -8x
Combine like terms: 8x + -8x = 0
130 + -3x = 151 + 0
130 + -3x = 151
Add '-130' to each side of the equation.
130 + -130 + -3x = 151 + -130
Combine like terms: 130 + -130 = 0
0 + -3x = 151 + -130
-3x = 151 + -130
Combine like terms: 151 + -130 = 21
-3x = 21
Divide each side by '-3'.
x = -7
Simplifying
