1 floz divided by 100 = 0.01 floz for 1 drop
0.01 x 10 = 0.1 floz for 10 drops
Answer:
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Step-by-step explanation:
Answer: Dimes= 20, Nickels= 15
Step-by-step explanation:
Since we are looking for the amount of coins, we can use system of equations to solve for the amount of coins.
Equation 1:
0.1x+0.05y=2.75
This equation comes from the total cost. x stands for dimes and y stands for nickels. 0.1 is the worth of a dime and 0.05 is the worth of a nickel.
Equation 2:
x=2y-10
This equation comes from 10 less than twice the number of nickels.
We can use substitution to find x and y.
0.1(2y-10)+0.05y=2.75
0.2y-1+0.05y=2.75
0.25y-1=2.75
0.25y=3.75
y=15
There are 15 nickels.
Now that we have y, we can plug it back into the equation to find x.
x=2(15)-10
x=30-10
x=20
There are 20 dimes.
120 adults and 48 children attended the dance.
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<h2>Answer:</h2>
All of the following statements about the cone are true.
2.) The radius is 9 mm.
3.) The base area is calculated using the radius.
4.) The volume is one-third the volume of a cylinder with the same height and diameter.
5.) The volume of the cone is 297 pi millimeters cubed.
<h2>Explanation:</h2>
The radius is always half the diameter, which is why the first choice is false, and the second choice is true.
When calculating the base, you need to use the radius. This means the third choice is true. The formula for the base area is π
Volume of the cone:
V =
π
h
=
× π ×
× 11
= 933.052233 mm²
Volume of a cylinder with the same height and diameter:
V = π
h
= π × 81 × 11
= 891π
= 2799.15669 mm²
2799.15669 ÷ 3 = 933.052233
Option four is true.
297 × π = 933.05223 This is true.