Answer:
3053.5517 cm^3 ; 1/8
Step-by-step explanation:
Given the following :
Volume (V) of sphere = (4/3)πr^3 where r = radius
Diameter of sphere = 18 ; radius(r) = diameter / 2 = 18/2 = 9cm
V = (4/3) × π × 9^3
V = 1.3333 × π × 729
V = 3053.5517 cm^3
When diameter(d) is reduced to half
d = d/2
Volume (V1) of sphere with diameter 'd' =
V1 = (4/3)π(d/2)^3
Volume (V2) of sphere with diameter 'd' reduced to half, d = d/2, d/2 * 1/2 = d/4
V2 = (4/3)π(d/4)^3
V1 / V2 = [(4/3)π(d/2)^3] / [(4/3)π(d/4)^3]
V1 / V2 = (d/2)^3 / (d/4)^3
V1 / V2 = [d^3 / 2^3] / [d^3 / 4^3]
V1 / V2 = 8 / 64
V1 / V2 = 1 / 8
$0.90 for the tacos. 3 enchiladas multiples by $2.00 is $6.00. then $1.80 is left so then you divide $1.80 divided by 2 and you get 0.9 and add the $ and then the 0 at the end
Answer:
the answer is 21
Step-by-step explanation:
the number she thinks of is 21 add 21 + 19 to get 40.
divide 40 by 5 to get 8.
The perimeter of a rectangle is given by
We know that the width is 36, and the perimeter must be less than 200, so we have
Divide both sides by 2:
Subtract 36 from both sides:
The height must be less than 64.
This is an easy question. All required information's are provided in the question. In the first case it is given that the tank is getting filled at a rate of 3/4 gallon per 2/3 minute. So by getting the speed of filling we can compare this withe the speed at which the second tank is getting filled. The second tank fills at a rate of 5/8 gallon in 1/2 minute.
If we take the case of the first tank, then,
Speed of filling the first tank = (3/4) * (3/2)
= 9/8
So the first tank is filled at the rate of 9/8 gallons per minute.
Now if we take the case of the second tank, then,
Speed of filling the second tank = (5/8) * 2
= 10/8
So the second tank fills at the rate of 10/8 gallons per minute.
Now we can say that the second tank is getting filled at a faster rate.
