Using the formula , where d is the distance in miles, r is the rate, and t is the time in hours, at which rate must you travel to cover 212.5 miles in 2.5 hours? (1 point) Responses 71 mph 71 mph 106 mph 106 mph 150 mph 150 mph 85 mph
To find the rate at which you must travel to cover 212.5 miles in 2.5 hours, you need to divide the distance by the time:
rate = distance / time
rate = 212.5 miles / 2.5 hours
rate = 85 mph
Therefore, you must travel at a rate of 85 mph to cover 212.5 miles in 2.5 hours.
To find the rate at which you must travel to cover a certain distance in a given time, you can use the formula:
rate = distance / time
In this case, you want to cover 212.5 miles in 2.5 hours. Plugging those values into the formula, you get:
rate = 212.5 miles / 2.5 hours
Evaluating the expression, you get:
rate = 85 mph
Therefore, the correct answer is 85 mph.
To find the rate at which you must travel, you can use the formula:
r = d / t
where:
d = 212.5 miles (distance)
t = 2.5 hours (time)
Substituting the given values into the formula:
r = 212.5 / 2.5
Simplifying the equation:
r = 85 mph
Therefore, the rate at which you must travel to cover 212.5 miles in 2.5 hours is 85 mph.
What is the simplified form of the following expression? (1 point) Responses Image with alt text: negative 5 y z Image with alt text: negative 5 y Image with alt text: negative 5 y z squared 5y
The simplified form of the expression "-5yz^2" is "-5yz^2".
What is the simplified form of the following expression? 10yz/2z
(1 point)
Responses -5yz -5y -5yz^2 5y
To simplify the expression (10yz) / (2z), we can divide each term in the numerator by the denominator:
(10yz) / (2z) = (10y / 2) * (z / z)
Simplifying each term:
(10y / 2) = 5y
(z / z) = 1
So, the simplified form of the expression is 5y * 1, which is equal to 5y. Therefore, the correct response is 5y.
What is the simplified form of the following expression? 10yz/-2z
(1 point)
Responses -5yz -5y -5yz^2 5y
To simplify the expression (10yz) / (-2z), we can divide each term in the numerator by the denominator and simplify any common factors:
(10yz) / (-2z) = (10y / -2) * (z / z)
Simplifying each term:
(10y / -2) = -5y
(z / z) = 1
So, the simplified form of the expression is -5y * 1, which is equal to -5y. Therefore, the correct response is -5y.
The temperature at the end of the day was 64 degrees. The temperature had increased twice during the day, once by 8 degrees and another time by 4 degrees. Which expression shows what the temperature was at the start of the day? (1 point) Responses 64 – 8 – 4
64 + 8 - 4 64 - 8 + 4 78 + 5 + 7