Answer:
The displacement is: - 80 i
Step-by-step explanation:
In order to answer the question, you have to apply the displacement formula, which is:
ΔX= Xf-Xi
Where ΔX is the displacement, Xf is the final position and Xi is the initial position. The formula represents the change in the position of an object from the origin.
Let the origin be in 0 km,with the x-axis positive to te right.
Notice that the displacement is a vector. The positions are:
Xf=163 km (i)
Xi= 243 km (i)
Because John starts in 243 km and finishes in 163 km.
Where i is the unit vector in the x direction.
Therefore:
ΔX= 163 i - 243 i
Solving:
ΔX= -80 i
Notice that for calculating the displacement you just need the initial and final position. It doesn't depend on the distance traveled.
Answer: <span>2,856 ft³ .</span>
_____________________
Volume of a rectangle prism = BASE AREA * height ;
The "base area" is the area of the rectangle:
(Area = length width; or, "L * w").
_______________________________________________
So, volume of a rectangular prism = L * w * h ; h = height ;
_________________________________________
V = L * w * h = 12 ft * 17 ft. * 14 ft = 2,856 ft³
_____________________________________________
$570.60 because 90/100=.90 so multiply that with 634 with .90 you get 570.60
Answer:
$0.75 per lemon
Step-by-step explanation:
Express the ratio on the left as a decimal:
$3/(4 lemons) = $?/lemon
0.75 $/lemon = ? $/lemon
0.75 = ?
The unit rate is $0.75 per lemon.
Let's use q to represent the number of quarts needed.
you would have the following:
2q= 107-19
2q=88
q=44
44 is the number of quarts in a in the barn.
Now you have to divide that number by 4 to get gallons because there is 4 quarts in a gallon.
There are 11 gallons of paint.
