approximately 9 out of 10 smokers began smoking before the age of 21. In a group of 400 smokers, about how many of them started before they reached their 21st birthday?

3,200,000

We will solve the problem of rounding to estimate the product.

Given:

In a single season, the New York Yankees sell an average of 42,362 tickets for each of their 81 home games.

Question:

About how many tickets do they sell for an entire season of home games?

The Process:

Let us round off the factors before multiplication.

42,362 = 40,000

81 = 80

Next we multiply 40,000 by 80.

[tex]\boxed{ \ 40,000 \times 80 = ? \ }[/tex]

[tex]\boxed{ \ = (4 \times 10,000) \times (8 \times 10) \ }[/tex]

[tex]\boxed{ \ = (4 \times 8) \times (10,000 \times 10) \ }[/tex]

[tex]\boxed{ \ = 32 \times 100,000 \ }[/tex]

[tex]\boxed{\boxed{ \ 3,200,000 \ }}[/tex]

Thus, the New York Yankees sell 3,200,000 tickets for an entire season of home games.

Keywords: in a single season, the New York Yankees, sell, an average of 42,362 tickets, for each, 81 home games, how many, they sell, for an entire season, rounding, factors, to estimate the product

Final answer:

The expression for the given situation "The quotient of x and 7 is equal to 13" is modeled by the linear equation x/7 = 13. By multiplying both sides by 7, we find that x equals 91.

Explanation:

The question "The quotient of x and 7 is equal to 13" can be modeled as an expression in the form of a linear equation. To define variables in this context, we let x represent the unknown number we're trying to find. The quotient of x and 7 means x divided by 7, and this is equal to 13. Therefore, we can write the linear equation as x/7 = 13.

To solve for x, we perform algebraic operations. We multiply both sides of the equation by 7 to get rid of the denominator. The expression becomes 7 * (x/7) = 13 * 7, which simplifies to x = 91.

Final answer:

To find the product of 3/4, 1/3, and 2/5, multiply the numerators to get 6 and the denominators to get 60, resulting in 6/60. This simplifies to 1/10.

Explanation:

The question asks us to find the product of the three fractions: 3/4, 1/3, and 2/5. To calculate this, we multiply the numerators together and then the denominators together:

Numerators: 3 times 1 times 2 = 6

Denominators: 4 times 3 times 5 = 60

Therefore, the product of 3/4, 1/3, and 2/5 is:

6/60, which can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 6. This gives us 1/10.

The average number of languages spoken by the employees is calculated as a weighted average and equals 2.61.

To determine the average number of languages spoken by the employees, we need to calculate the weighted average. This takes into account the percentage of people speaking a different number of languages. Let's denote the number of languages spoken as L, and the percentage of people speaking that many languages as P.

According to the information provided, we have the following groups:

Now, we calculate the average with the formula:

Average = (L1 * P1 + L2 * P2 + L3 * P3) / 100

Where:

Substituting the values we get:

Average = (2 *47 + 3 * 45 + 4 * 8) / 100

Average = (94 + 135 + 32) / 100

Average = 261 / 100

Average = 2.61

So, the average number of languages spoken by the employees is 2.61.

To calculate how long it took for the temperature to drop 7.8 degrees at a rate of 1.3 degrees per hour, divide 7.8 by 1.3, which equals 6 hours.

This problem can be solved using simple division. The question tells us that the temperature dropped 1.3 degrees every hour and we want to know how long it took for the temperature to drop 7.8 degrees. So, divide the total drop in temperature (7.8 degrees) by the rate of temperature drop (1.3 degrees per hour).

7.8 / 1.3 = 6

So, if the temperature dropped 1.3 degrees every hour, it would take 6 hours for the temperature to drop 7.8 degrees.

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Answer: KN=15 and NM=20.

Step-by-step explanation: i got it right on edg2020

The function f(x)=k represents a horizontal line where 'k' is the y-intercept. This means the line crosses the y-axis at the point (0,k).

The function f(x)=k represents a horizontal line across the y-axis at the value of 'k'. In this case, the y-intercept or 'b' would also be 'k', given that regardless of the x-value, the output will always be 'k'. The point of intersection with the y-axis is thus (0,k).

In general, for the linear equation y=mx+b, 'm'

represents the slope of the line and 'b' is the y-intercept where the line crosses the y-axis. In this case, 'm' would be zero as the slope of a horizontal line is 0, causing the line's equation to simplify to

y=k, or f(x)=k. This indicates that for every x, the y value remains constant at 'k' .

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Answer:

kinetic energy of the scooter is 14256 joule.

Step-by-step explanation:

Since kinetic energy of an object is represented by the formula

Kinetic energy = [tex]\frac{1}{2}(\text{Mass})(\text{Velocity}^{2})[/tex]

Mass of the scooter = 88 kg

Velocity of the scooter = 18 meter per second.

Kinetic energy = [tex]\frac{1}{2}\times 88\times (18)^{2}[/tex]

                        = 44×(18)²

                        = 14256 Joule

Therefore, kinetic energy of the scooter is 14256 joule.

The total earning for Teo is $3006.88 if teo worked for 42.5 h at $70.75 per hour, the answer is 3006.88.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Teo worked for 42.5 h at $70.75 per hour.

Let x be the total earnings.

The value of x can be found as follows:

x = 42.5(70.75)

x = 3006.875

Or

x = 3006.88

Thus, the total earning for Teo is $3006.88 if teo worked for 42.5 h at $70.75 per hour, the answer is 3006.88.

Learn more about the linear equation here:

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