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3 years ago

What value of x makes the equation 8(1.5x - 6) = 2x - 0.5(24 - 16x? true?

Mathematics

1 answer:

nydimaria [60]3 years ago

3 0

Answer:

x=18

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

8(1.5x−6)=2x−0.5(24−16x)

(8)(1.5x)+(8)(−6)=2x+(−0.5)(24)+(−0.5)(−16x)(Distribute)

12x+−48=2x+−12+8x

12x−48=(2x+8x)+(−12)(Combine Like Terms)

12x−48=10x+−12

12x−48=10x−12

Step 2: Subtract 10x from both sides.

12x−48−10x=10x−12−10x

2x−48=−12

Step 3: Add 48 to both sides.

2x−48+48=−12+48

2x=36

Step 4: Divide both sides by 2.

2x/2=36/2

x=18

Answer:

x=18

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<h3>Equation</h3>

An equation is an expression used to show the relationship between two or more variables and numbers.

Let x represent the number of quarters and y represent the number of dimes. Hence:

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x = (0.9y) + y

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Also:

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What is expected value?

The expected value, also known as expectation, expectancy, arithmetical expectation, mean, average, first or moment, is a generalization of the weighted average in the field of probability theory. Informally, the estimation is the arithmetic mean of a significant number of values of a random variable that were independently chosen. A weighted average of all potential outcomes constitutes the expected value of the a random variable with such a finite number of outcomes. When there is a continuum of potential outcomes, integration defines the expectation. The expectation is provided by Lebesgue integration in the measure theory-based axiomatic foundation for probability.

Sol- The expected value is calcuated using the formula:

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For a 2-point shot, we have:

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Answer:

Step-by-step explanation:

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3 years ago

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Answer:

Part A)The amount of water in the tank is changing at -2/3 gallons per minute. 

Part B) it will take 7.5 minutes for the tank to drain completely.

Part C) The water tank was completely full 4.5 minutes before Jada arrived.

Step-by-step explanation:

Information fetching:

Tank of water can hold up-to 10 gallons.

When it is active, a drain empties water from the tank at a constant rate.
7 gallons of water present in the tank when Jade first saw
5 gallons of water left after 3 minutes

Part A) At what rate is the amount of water in the tank changing?

As the gallons were decreased from 7 to 5 in three minutes. It means in three minutes, 2 gallons were decreased.

So, gallons per minute change would be -2/3 gallons per minute. Hence, the amount of water in the tank is changing at -2/3 gallons per minute. 

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Let 'm' be the number of minutes will it take for the tank to drain completely.

As,

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So,

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So, the water tank was completely full 4.5 minutes before Jada arrived.

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