Answer:
im pretty sure its b
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
Correct question is;
Terry is filling spherical water balloons with a faucet that puts out 100 cm³ of water per second. At that rate, it takes Terry 6 seconds to fill a balloon. What is the radius of a filled balloon?
Answer:
r = 5 cm
Step-by-step explanation:
Volume of a sphere is;
V = (4/3)πr³
It takes 6 seconds to fill the balloon when a faucet that puts out 100 cm³ of water per second.
Thus,
Volume of balloon = 100 × 6 = 600 cm³
Thus;
(4/3)πr³ = 600
r³ = (600 × 3)/4π
r³ = 143.239
r = ∛143.239
r = 5.23
Approximation to the nearest whole number gives; r = 5 cm
Answer:
(-4, 5)
Step-by-step explanation:
The problem is a system of equations where you have two variables and can use the method of eliminate (eliminating one of the variables) to solve. In this case, you will need to multiply one of the fractions by a factor to eliminate a variable. It seems easiest to multiply the first equation by a factor of -5:
-5(x - 3y) = -24 (distribute) -5x + 15y = 120
Add the equations:
-5x + 15y = 120
<u>+5x + 8y = -5</u>
23y = 115 (divide by 23)
y = 5
Solve for 'x': x - 3(5) = -24 or x - 15 = 24 (add 15) x = -4
Ordered pair: (-4, 5)
If y varies inversely with x, then we know that:
y = k/x
We are given x and y, so plug in the numbers and solve for k.
1.5 = k/6.4
k = 1.5*6.4
k = 9.6
