Question
a car travels 60 miles in 2 hours. how far will it travel in 5 hours at the same speed?
Answers
GPT 3.5
If a car travels 60 miles in 2 hours at a constant speed, we can find the speed of the car by dividing the distance by the time:
Speed = Distance / Time
Speed = 60 miles / 2 hours
Speed = 30 miles/hour
Now, if we want to find how far the car will travel in 5 hours at the same speed, we can multiply the speed by the time:
Distance = Speed * Time
Distance = 30 miles/hour * 5 hours
Distance = 150 miles
Therefore, the car will travel 150 miles in 5 hours at the same speed.
Speed = Distance / Time
Speed = 60 miles / 2 hours
Speed = 30 miles/hour
Now, if we want to find how far the car will travel in 5 hours at the same speed, we can multiply the speed by the time:
Distance = Speed * Time
Distance = 30 miles/hour * 5 hours
Distance = 150 miles
Therefore, the car will travel 150 miles in 5 hours at the same speed.
what does finding the product of a math equation mean
GPT 3.5
Finding the product of a math equation means multiplying the numbers or variables involved in the equation.
For example, if you have the equation 2 x 3, finding the product would entail multiplying 2 and 3 together:
Product = 2 x 3
Product = 6
In this case, the product is 6.
Similarly, if you have an equation with variables, such as 4a x 2b, finding the product would involve multiplying the coefficients and the variables:
Product = 4a x 2b
Product = 8ab
In this case, the product is 8ab, which represents multiplying the coefficients 4 and 2, as well as the variables a and b.
For example, if you have the equation 2 x 3, finding the product would entail multiplying 2 and 3 together:
Product = 2 x 3
Product = 6
In this case, the product is 6.
Similarly, if you have an equation with variables, such as 4a x 2b, finding the product would involve multiplying the coefficients and the variables:
Product = 4a x 2b
Product = 8ab
In this case, the product is 8ab, which represents multiplying the coefficients 4 and 2, as well as the variables a and b.
coefficient
GPT 3.5
In mathematics, a coefficient is a numerical or constant factor that is multiplied by a variable or variables in an algebraic expression or equation. In other words, it is the number or constant in front of a variable.
For example, in the equation 3x + 2y = 5, the coefficients are 3 and 2. 3 is the coefficient of the variable x, and 2 is the coefficient of the variable y. The coefficient represents how many times the variable is multiplied or the scale of the variable.
Coefficients can also be negative. For instance, in the equation -2x + 4y = 10, -2 is the coefficient of x and 4 is the coefficient of y.
For example, in the equation 3x + 2y = 5, the coefficients are 3 and 2. 3 is the coefficient of the variable x, and 2 is the coefficient of the variable y. The coefficient represents how many times the variable is multiplied or the scale of the variable.
Coefficients can also be negative. For instance, in the equation -2x + 4y = 10, -2 is the coefficient of x and 4 is the coefficient of y.