Answer:
3,125
Step-by-step explanation:
25 out of 200 is 12.5%
and 12.5% of 25,000 is 3,125
(I'm not sure)
When they leave home, odometer reads 12,544.....when they arrive in Winterton, the odometer reads 12,671.....this means they have already driven (12,671 - 12,544) = 127 miles.....and now they have 48 more miles to go......so the trip to Sandy Shores from Summerville is (127 + 48) = 175 miles
Answer:
C.
Step-by-step explanation:
The volume of a cone by definition is given by:
V = (pi * r ^ 2 * h) / (3)
Where,
r: radio
h: height
Clearing the height of the original cone we have:
h = (3 * V) / (pi * r ^ 2)
Substituting values:
h = (3 * 1875) / (pi * (40) ^ 2)
h = 1.119058194
We now look for the scale factor:
K = 16/40
Simplifying:
K = 4/10
K = 2/5
We apply the scale factor to the new volume:
V '= ((k ^ 3) * (pi * r ^ 2 * h)) / (3)
Substituting:
V '= (((2/5) ^ 3) * (pi * (16) ^ 2 * (1.119058194))) / (3)
V '= 19.2 cm ^ 3
Answer:
the volume of a similar cone with a radius of 16 cm is:
V '= 19.2 cm ^ 3
Answer:
Option D: (8, -12) is the solution set for given system.
Step-by-step explanation:
Given that:
1/4x-1/2y=8 ----------- eq1
1/2x+3/4y=-5 --------- eq2
Multiplying eq1 by 2 we get:
1/2x - y = 16 ------- eq3
Now by subtracting eq3 from eq2 we get:
(1/2x+3/4y) - (1/2x - y ) = -5 -16
By simplifying:
3/4y + y = -21
By taking LCM to make denominator same:
3/4y + y*4/4 = -21
3+4 / 4y = -21
7/4y = -21
Multiplying both sides by 4/7 we get
y = -21 * 4/7
y = -12
Putting value of y in eq3
1/2x - (-12)= 16
1/2x + 12 = 16
1/2x = 16 - 12
1/2x = 4
Multiplying both sides by 2
x = 4*2
x = 8
So the solution set = (8, -12)
i hope it will help you!