Answer:
They would need approximately 20 gallons of paint for the water tower, so yes, 25 gallons would be enough.
Step-by-step explanation:
In order to find out if there is enough paint for the surface area of the sphere, you need to first find the radius of the object so you can determine the measure of the entire surface area. Since they give us the volume, we can use that to solve for the radius using the volume formula: V = πr³ or 66840.28 = πr³. Using inverse operations, you can first multiply both sides of the equation by the reciprocal of 4/3 or 3/4, then divide by π, this gives you 15,965 = r³. In order to find 'r', take the cube root of both sides: ∛15965 = ∛r³ or r ≈ 25.
Now that you know radius = 25, you can use the formula for surface area: SA = 4πr² or 4π(25)² ≈ 7850 ft². Since one gallon of paint covers 400 square feet, we can take our total and divide by 400 to find the number of gallons: 7850 ÷ 400 ≈ 19.6. In total, we would need 19.6 gallons of paint for the water tower, so if there are 25 gallons available, there is enough.
Answer:
The maximum number of songs that the symphonic choir can record is 14
Step-by-step explanation:
Let
x ----> the number of songs of the symphonic choir
we know that
The number of songs of the jazz choir multiplied by its average time per song plus the the number of songs of the symphonic choir multiplied by its average time per song, must be less than or equal to 72 minutes
so
The inequality that represent this situation is
solve for x
subtract 21 both sides
divide by 3.6 both sides
therefore
The maximum number of songs that the symphonic choir can record is 14
Answer:
x>4
Step-by-step explanation:
2x>4(3x-5)-20
2x>12x-20-20
2x>12x-40
2x-12x>-40
-10x>-40
x>4
Answer:
$3.41
Step-by-step explanation:
262.94 + 83.65 = 346.59
350.00 - 346.59 = 3.41
So to start you need to add 7 and 4 to get 11
Then you divide 1650mL by 11 which gets you 150mL
You then times that by 7 to get the ratio of blue paint which is 1050mL and times 150mL by 4 to get the ratio of red paint which is 600mL
