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lions [1.4K]
2 years ago
13

When a water tank is $30\%$ full, it contains 27 gallons less than when it is $20\%$ empty. How many gallons of water does the t

ank hold when it is full?
Mathematics
2 answers:
alexandr1967 [171]2 years ago
4 0

Answer:

54

Step-by-step explanation:

aksik [14]2 years ago
3 0

Answer:

54 gallons

Step-by-step explanation:

Let x represent the volume of the full tank.

When the water tank is 30% full;

= 30% of x = 0.30x

when it is 20% empty:

= x - 20% of x = x - 0.20x = 0.80x

The difference is given as 27.

So, we can represent the question on an equation as;

0.80x - 0.30x = 27

Solving the equation, we have;

0.50x = 27

x = 27/0.50

x = 54 gallons

The tank can hold 54 gallons when it is full.

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W = 3x + 7y solve for y
mario62 [17]

Answer:

The value of the equation y=\frac{W-3x}{7}.

Step-by-step explanation:

Consider the provided equation.

W = 3x + 7y

We need to solve the provided equation for y.

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Divide both sides by 7.

\frac{7y}{7}=\frac{W-3x}{7}

y=\frac{W-3x}{7}

Hence, the value of the equation is y=\frac{W-3x}{7}.

8 0
1 year ago
Find the average value of the function f(x, y, z) = 5x2z 5y2z over the region enclosed by the paraboloid z = 4 − x2 − y2 and the
S_A_V [24]
The paraboloid meets the x-y plane when x²+y²=9. A circle of radius 3, centre origin. 

<span>Use cylindrical coordinates (r,θ,z) so paraboloid becomes z = 9−r² and f = 5r²z. </span>

<span>If F is the mean of f over the region R then F ∫ (R)dV = ∫ (R)fdV </span>

<span>∫ (R)dV = ∫∫∫ [θ=0,2π, r=0,3, z=0,9−r²] rdrdθdz </span>

<span>= ∫∫ [θ=0,2π, r=0,3] r(9−r²)drdθ = ∫ [θ=0,2π] { (9/2)3² − (1/4)3⁴} dθ = 81π/2 </span>


<span>∫ (R)fdV = ∫∫∫ [θ=0,2π, r=0,3, z=0,9−r²] 5r²z.rdrdθdz </span>

<span>= 5∫∫ [θ=0,2π, r=0,3] ½r³{ (9−r²)² − 0 } drdθ </span>

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<span>= (5/2)∫ [θ=0,2π] { (81/4)3⁴− (3)3⁶+ (1/8)3⁸} dθ = 10935π/8 </span>

<span>∴ F = 10935π/8 ÷ 81π/2 = 135/4</span>
3 0
2 years ago
A town has a population of 14,000 and grows 5% every year. What will be the population after 14 years, to the nearest whole numb
hammer [34]

Answer:

23,800 people

Step-by-step explanation:

what is 5 % of 14,000- 700( 0.05 times 14,000)

700 times 14 is 9,800

9800 + 14000 is

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2 years ago
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