Solve for h:V = π h r^2
V = h π r^2 is equivalent to h π r^2 = V:π h r^2 = V
Divide both sides by π r^2:
Answer: h = V/(π r^2)
<span>30x + 30y = 450 20x + 25y = 345
Here 345 represents the total area (in sq ft) shoveled; x repres. Melinda's rate and y represents Paul's rate. We need to solve for x and y and then subtract the smaller from the larger.
</span>30x + 30y = 450 Multiply this eqn by 2: 6<span>0x + 60y = 900
</span>20x + 25y = 345 Mult this eqn by -3: -60x -75y = -1035
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-15y = -135
y = 9
This comes to 9 square feet per minute.
Now, let's find x: 30x + 30y = 450; 30x + 270 = 450; 30x = 180; x = 6
Melinda can shovel 6 sq ft in 1 min, whereas Paul can shovel 9.
The difference is (9 - 6) sq ft / min, or 3 sq ft / min (answer)
Answer:
Volume of medication in the cup = 50.24 cubic inches
Step-by-step explanation:
Volume of the cylindrical cup = πr^2h
Radius, r = 2 inches
Height, h = 8 inches
Volume of the cylindrical cup = πr^2h
= 3.14 × 2^2 × 8
= 3.14 × 4 × 8
= 100.48
Volume of the cylindrical cup = 100.48 cubic inches
If David only fills the cup half way,
then, the volume of medication in the cup = Total volume of the cylinder / 2
= 100.48 inches / 2
= 50.24 cubic inches
volume of medication in the cup = 50.24 cubic inches
1. Add the length of the fabrics together. 2 1/2 + 1 1/4 = 3 3/4. Ciara needs 3 3/4 yards of fabric in total.
2. Subtract 3 from 3 3/4. 3 3/4 - 3 = 3/4. Ciara needs 3/4 yard more of fabric.
3. Multiply $7.98 by 3/4. 3/4 * $7.98 = $5.985. Round to the nearest hundredth to get $5.99.
Ciara needs $5.99 to pay for the rest of her fabric.
