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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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In △ABC,c=71, m∠B=123°, and a=65. Find b.<br><br> A. 101.5<br> B. 117.8<br> C. 123.0<br> D. 119.6
tia_tia [17]

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The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other the given angle is the included angle. This means that the angle B is formed by the intersection of the lines a and c. Therefore, cosine rule will be used to calculate the length of b. The cosine rule is:

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The question specifies that c=71, B=123°, and a=65. Plugging in the values:

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Caroline knows the height and the required volume of a cone-shaped vase she’s designing. Which formula can she use to determine
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Answer:

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