For the direct variation equation y=38x , what is the constant of proportionality?(1 point)
The constant of proportionality is .
The constant of proportionality for the direct variation equation y = 38x is 38.
The constant of proportionality for the equation y=8x is 8.
To find the number of times the hummingbird will flap its wings in 15 seconds, we need to convert the given rate of 5000 flaps per minute to flaps per second.
Since there are 60 seconds in a minute, we divide 5000 by 60 to find the number of flaps per second:
5000 flaps/minute ÷ 60 seconds/minute = 83.33 flaps/second (rounded to two decimal places)
Now we can calculate the number of flaps the hummingbird will make in 15 seconds by multiplying the flaps per second rate by 15:
83.33 flaps/second × 15 seconds = 1250 flaps
Therefore, the hummingbird will flap its wings 1250 times in 15 seconds.
The constant of proportionality for the direct variation equation y = 2 2/3x is 2 2/3.
The constant of proportionality is 7. It means that for each road project (x), it will take the crew of workers 7 weeks (y) to complete it.
The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete 1 road project.
The correct direct variation equation to determine the number of miles a jet travels in 3 hours, given its flying rate of 600 mph, is:
y = 600×3
This equation represents the relationship between the number of miles traveled (y) and the time in hours (3).
To calculate the number of hours a tiger will sleep in 7 weeks, we need to find the total number of hours in 7 weeks and take into account the range of 18 to 20 hours the tiger sleeps per day.
First, we calculate the total number of hours in 7 weeks. Since there are 7 days in a week, we multiply 7 weeks by 7 days:
7 weeks × 7 days/week = 49 days
Since the tiger sleeps for a range of 18 to 20 hours per day, we need to find the range for 49 days by multiplying the minimum and maximum range by the number of days:
Minimum hours: 18 hours/day × 49 days = 882 hours
Maximum hours: 20 hours/day × 49 days = 980 hours
Therefore, a tiger will sleep approximately 882 to 980 hours in 7 weeks.
The correct equation that will help Jamal find how much he will earn if he continues at the same rate of pay for 7 years is:
y = 125,000×7
In this equation, "y" represents the amount Jamal will earn in 7 years. By multiplying his current yearly salary of $125,000 by 7 years, he can determine the total amount he will earn over that time period.
Donte is told that for a particular math problem, the value of y is always 8 times the value of x . Donte writes the equation y=8x to show the relationship between x and y . What is the constant of proportionality?(1 point)
The constant of proportionality is .
A hummingbird flaps its wings 5,000 times a minute when hovering in place. How many times will it flap its wing in 15 seconds?(1 point)
The hummingbird will flap its wings times.
In 2 days, Quinesha exercises 50 minutes. At this rate, how many minutes does she exercise in 4 weeks?(1 point)
Quinesha exercises minutes in 4 weeks.
To find out how many minutes Quinesha exercises in 4 weeks, we need to first determine the number of minutes she exercises in one day.
Since she exercises 50 minutes in 2 days, we can calculate the average number of minutes she exercises per day by dividing 50 minutes by 2 days:
50 minutes ÷ 2 days = 25 minutes per day
Now, we need to determine the number of days in 4 weeks, as there are different numbers of days in each month. However, for simplicity, we will assume that each week has 7 days.
Therefore, the number of days in 4 weeks is:
4 weeks × 7 days/week = 28 days
Finally, we can calculate the total number of minutes Quinesha exercises in 4 weeks by multiplying the number of minutes she exercises per day by the number of days in 4 weeks:
25 minutes/day × 28 days = 700 minutes
Therefore, Quinesha exercises 700 minutes in 4 weeks.
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For the direct variation equation y=2 2/3x, what is the constant of proportionality?(1 point)
Responses
2
2
223
2 Start Fraction 2 over 3 End Fraction
3
3
23
Start Fraction 2 over 3 End Fraction
The equation y=7x gives the relationship between the number of road projects, x, and the number of weeks it takes a crew of workers to complete all the projects, y. What is the constant of proportionality? What does it mean in this context?(1 point)
Responses
The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete 1 road project.
The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete 1 road project.
The constant of proportionality is 7. It takes the crew of workers 7 days to complete 1 road project.
The constant of proportionality is 7. It takes the crew of workers 7 days to complete 1 road project.
The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete all of their road projects.
The constant of proportionality is 7. It takes the crew of workers 7 weeks to complete all of their road projects.
The constant of proportionality is 7. It takes the crew of workers 7 days to complete all of their road projects.
choose one of the given answers
Write a direct variation equation to find the number of miles a jet travels in 3 hours if it is flying at a rate of 600 mph.(1 point)
Responses
y=600×3
y equals 600 times 3
600=3x
600 equals 3 x
y=600/3
y equals Start Fraction 600 over 3 End Fraction
3=600x
A tiger sleeps 18 to 20 hours a day. How many hours will a tiger sleep in 7 weeks?(1 point)
Responses
2.5 to 2.9 hours
2.5 to 2.9 hours
126 to 140 hours
126 to 140 hours
882 to 980 hours
882 to 980 hours
630 to 700 hours
Jamal earns $125,000 a year as a systems analyst. He wants to know how much he will earn if he continues at the same rate of pay for 7 years. Which equation will help him find this amount?(1 point)
Responses
125,000=7/x
125,000 equals Start Fraction 7 over x End Fraction
125,000=7x
125,000 equals 7 x
x=125,000/7
x equals Start Fraction 125,000 over 7 End Fraction
y=125,000×7
y equals 125,000 times 7