Answer: Each friend will get 3 gumballs.
Step-by-step explanation:
Given: Pete has 4 packs of gumballs. Each pack has 5 gumballs.
Total gumballs he has = 4 x 5 = 20
Now , if he needs to divide them into 6 friends , then each friend will get (20 ÷ 6) gumballs
So each friend will get 3 gumballs.
Answer:
Step-by-step explanation:
Find the digram attached.
Perimeter of the track = perimeter of the rectangle + perimeter of the 2semicircles
Perimter of a rectangle = 2(x+r) where:
x is the length
2r is the width of the rectangle = diameter of the semicircle
Perimeter of semicircle = 2πr/2 = πr
Perimeter of 2semicirle = 2πr
Perimeter of the track = 2(x+2r) + 2πr
r is the radius if the semicircle
Expand
Perimeter of the track = 2x+4r + 2πr
Perimeter of the track = 2(x+2r+πr)
b) Given P = 2(x+2r+πr), we are to make x the subject of the formula.
P = 2x+4r+2πr
P-4r-2πr = 2x
Divide both sides by 2.
(P-4r-2πr)/2 = 2x
x = (P-4r-2πr)/2
c) Given
P = 600fr
r = 50ft
x = (600-4(50)-2π(50))/2
x = (600-200-100(3.14))/2
x = 400-314/2
x = 86/2
x = 43ft
Hence the value of x to nearest foot is 43ft
Answer:
<em>55mph
. None of the options are correct
</em>
Step-by-step explanation:
If the speed varies inversely as the time it takes to drive, then v ∝ 1/t. where;
v is the speed
t is the time taken
Hence;
v = k/t with k being the constant of proportionality.
Since it takes Kris 5 hours when driving at 55 mph, we will substitute v = 55mph and t = 5 hours. into the equation above to get the value of k as shown:
55 = k/5
Cross multiply
k = 55*5
k = 275
Hence, to calculate the speed it will Martin to drive for 5 hours, we will substitute k = 275 and t = 5 into the original equation v = k/t as shownl
v = 275/5
v = 55 mph
<em>Hence, we can conclude that Martin will also need to drive at a speed of 55mph if he wants to take 5hours.</em>
We are asked to solve for the lateral surface area of the cylinder such that the formula that we can used is Lateral Surface Area = 2pi*r*h where "r" represents the radius of the cylinder and "h" represents the height of the cylinder. In this problem, we are given with the following values:
r = 4 inches
h = inches
Solving for the lateral surface area, we have it:
L.S.A = 2 *pi * r* h
L.S.A = 2*pi*4*6
L.S.A = 48pi units squared
The answer is 48pi unit2.
Answer:
Step-by-step explanation:
a) BA = OA -OB = (11x+6y) -(4x +10y)
BA = 7x -4y
__
b) AC = -CO -OA = -(-13x +11y) -(11x +6y)
AC = 2x -17y
_____
The vector OC is the opposite of the vector CO.
