Answer:
It should be option B
Step-by-step explanation:
Answer:
The pool can contain <u>4521.6 gallons</u> of water.
Step-by-step explanation:
Given:
The diameter of the cylindrical swimming pool = 16 feet.
And the height of the cylindrical swimming pool = 3 feet.
(1 ft³ = 7.5 gallons)
Now, to find the gallons of water the pool can contain.
So, we find the radius first:
Radius (r) = 
= 
Height (h) = 3 feet.
Now, to get the volume of swimming pool which is cylindrical in shape by putting formula (using the value of π = 3.14):
<em>Thus, getting the volume of pool 602.88 feet³.</em>
<em>As, given 1 ft³ = 7.5 gallons</em>.
Now, to get the gallons of water the pool can contain we multiply the volume of pool by 7.5:
Therefore, the pool can contain <u>4521.6 gallons</u> of water.
2x X 54 is going to be 108x
since both are positive you will get a positive #
54 X 2 is 108
Answer: 490 grams of the first alloy should be used.
30 grams of the second alloy should be used.
Step-by-step explanation:
Let x represent the weight of the first alloy in grams that should be used.
Let y represent the weight of the second alloy in grams that should be used.
A chemist has two alloys, one of which is 15% gold and 20% lead. This means that the amount of gold and lead in the first alloy is
0.15x and 0.2x
The second alloy contains 30% gold and 50% lead. This means that the amount of gold and lead in the second alloy is
0.3y and 0.5y
If the alloy to be made contains 82.5 g of gold, it means that
0.15x + 0.3y = 82.5 - - - - - - - - - - - -1
The second alloy would also contain 113 g of lead. This means that
0.2x + 0.5y = 113 - - - - - - - - - - - - -2
Multiplying equation 1 by 0.2 and equation 2 by 0.15, it becomes
0.03x + 0.06y = 16.5
0.03x + 0.075y = 16.95
Subtracting, it becomes
- 0.015y = - 0.45
y = - 0.45/- 0.015
y = 30
Substituting y = 30 into equation 1, it becomes
0.15x + 0.3 × 30 = 82.5
0.15x + 9 = 82.5
0.15x = 82.5 - 9 = 73.5
x = 73.5/0.15
x = 490
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