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:
The ratio of flour to sugar is 2:1
Step-by-step explanation:
Let f = weight of a bag of flour
Let s = weight of a bag of sugar
3f+2s = 32
4f = 32
We have 2 equations and 2 unknowns, we can solve
4f=32
Divide by 4
4f/4 = 32/4
f = 8
Each bag of flour weights 8 pounds
Substitute this back into the first equation
3(8) +2s = 32
24+2s = 32
Subtract 24 from each side
24-24 +2s =32-24
2s = 8
Divide by 2
2s/2 = 8/2
s = 4 pounds
Flours weighs 8 pounds and sugar weights 4 pounds
We want the ratio of flour to sugar
Flour: sugar
8:4
We can divide each side by 4
8/4: 4/4
2:1
Answer:
The area would be '15l - l²
Step-by-step explanation:
Given,
By 30 feet of wire fencing we need to make a rectangular shape,
Thus, perimeter of such rectangle = 30 feet,
We know that,
Perimeter of a rectangle = 2( length + width)
if length = l feet,
⇒ 2(l + width) = 30
⇒ 2l + 2 × width = 30
⇒ 2 × width = 30 - 2l
⇒ width = = (15-l) feet,
Now, area of the rectangle,
A = length × width
= l × (15-l)
= 15l - l²
Which is the required polynomial expression.
Note :
Polynomial expression : an expression having terms consisting coefficients and variables separated by addition, subtraction and multiplication.
Answer: D
Step-by-step explanation:
She is buying 5.25 pounds of rice. 7/8 times 6 is 5.25