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STALIN [3.7K]
2 years ago
8

Can you please solve and explain how

Mathematics
2 answers:
valentina_108 [34]2 years ago
7 0

36+3(4x-9)=c(2x+1)+25\\\\36+12x-27=2cx+c+25\\\\9+12x=2cx+c+25\ \ \ |-9\\\\12x=2cx+c+16\ \ \ |-2cx\\\\12x-2cx=c+16

The equation has no solution. Therefore, x must be eliminated. Then the equation will not make sense if the left side is not equal to the right side (different numbers).

12x-2cx=0\to 12-2c=0\to c=6

Substitute the value of c to the equation and check it:

12x-2(6)x=6+16\\\\12x-12x=22\\\\0=22\ FALSE

Answer: C) 6

Karolina [17]2 years ago
6 0

First, it would help to simplify each side more:

Left side: 36 + 3(4x - 9) = 36 + 12x - 27 = 12x + 9

Right side: c(2x + 1) + 25 = 2cx + c + 25

Write the simplified equation:

12x + 9 = 2cx + c + 25

Usually when there is no solution, the coefficients of the variable on both sides are the same, so we can make the coefficient if x on the right side into 12:

2cx >>> 12x

Then, c must equal 6 to make this true.

The answer is choice (C).

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Given, the density of a particular brand of gasoline = 0.737 g/ml.

13.4 gallon of tank given. We have to find the mass of gasoline to fill the tank.

First we will convert 13.4 gallon to ml.

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And 1 litre = 1000 ml

So we can write 1 gallon = (3.78541)(1000) ml = 3785.41 ml.

13.4 gallon = (3785.41)(13.4) ml = 50724.494 ml.

Let's take there is x grams of gasoline

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So we can write,

0.737 =\frac{x}{50724.494}

To find x we will multiply both sides by 50724.494. we will get,

(0.737)(50724.494) =(\frac{x}{50724.494}) (50724.494)

(0.737)(50724.494) = x

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So we have got the required answer.

Mass of gasoline = 37383.95 grams.

5 0
3 years ago
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Step-by-step explanation:

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and the height of the prism is:

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Hence the correct choice is C.

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2 years ago
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