Answer:
a) 3 gallons
b) 20 scoops
Step-by-step explanation:
Ratio values can be multiplied by a suitable constant to obtain an equivalent ratio.
You have ...
scoops : gallons = 4 : 1 = 12 : 3 = 20 : 5
a) 3 gallons of water should be used with 12 scoops of mix
b) 20 scoops of mix should be used with 5 gallons of water
Answer:
y=4(x-3)
Step-by-step explanation:
if x=3, subtract 3 from each side to get x-3=0
point (4, 4). That is, when x=4, y=4.
Plug those in and solve for a.
y=a(x-3)
4=a(4-3)
4=a(1)
4=a
Thus,
y=4(x-3)
Answer:
<u>The volume of a mound of salt-sand mixture is 589.05 feet ³ or 589.05 cubic feet.</u>
Step-by-step explanation:
1. Let's check the information given to resolve the question:
Diameter of a mound of the mixture = 15 feet
Height (h) of the mound of the mixture = 10 feet
How much salt-sand mixture is there?
2. Let's find the volume of a mound of mixture with a conical shape:
For doing that, we need to use the volume formula of a cone.
It's: 1/3 * π * r² * h
Replacing with real values, we have:
1/3 * 3.1416 * 7.5 ² * 10 (Diameter = 15, so radius = Diameter/2 = 15/2 = 7.5)
Volume = 1/3 * 3.1416 * 56.25 * 10
Volume = 1/3 * 3.1416 * 562.5 (56.25 * 10 = 562.5)
<u>Volume = 187.5 * 3.1416 = 589.05 feet ³ or 589.05 cubic feet.</u>
Answer:
4cm
Step-by-step explanation:
the ratio of the two scales is 100,000:300,000 which simplifies to 1/3
1/3 x 12 =4
The greatest common factor is 28.
The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56
The factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Then the greatest common factor is 28.
