Answer:
Numbers are 14 and 8
Step-by-step explanation:
Let the 2 numbers be x and y.
Write 2 equations:
x + y = 22
x - y = 6
Solve by substitution:
x - y = 6
x = y + 6
Plug into the other equation:
(y + 6) + y = 22
2y + 6 = 22
2y = 16
y = 8
Plug into either equation:
x + 8 = 22
x = 14
Numbers are 14 and 8
Answer:
13.76
Step-by-step explanation:
Area of the whole
The area of the whole = s^2 (the firgure is a square
s = 8
Area of the whole = 8^2 = 64
Area of the unshaded part
The 2 half circles = 1 whole circle
The radius of the 1/2 circle = 4 (eight has been cut in half)
Area of two half circles = 2* (pi r^2/2)
Area of two half circles = 2 * (pi 4^2/2)
area of two half circles = 16*pi
Area of the shaded area
Area of the shaded area = area of the whole - area of the unshaded area
Area of the shaded area = 64 - 16*pi
Area of the shaded area = 64 - 3.14*16 = 13.76
Answer: The speed of Bob is 56.8 km/hr.
Step-by-step explanation:
Let the speed of Bob be 'x'.
Let the speed of John be 'x-8'.
Distance covered = 230 miles
time = 
According to question, we get that

Hence, the speed of Bob is 56.8 km/hr.
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
One time fee = $30
Reduced price of ticket after one time fee payment = $17
Regular ticket cost = $25
Write an inequality that can be used to determine the number of reduced price concert tickets you would need to purchase in order for the total cost to be less expensive than the same number of regular tickets
Let the number of tickets needed to purchase = t
Reduced ticket = 30 + 17t
Regular ticket = 25t
30 + 17t < 25t
30 < 25t - 17t
30 < 8t
30/8 < 8t/8
3.75 < t
t > 3.75
Hence number of ticket must be greater than 3.75
t = 4
Cos = adjacent over hypotenuse
cos33 = b/170
170cos33 = b
b = 142.574 inches