Felicia went on a bike ride. She rode three-fourths of a mile in two-thirds of an hour. What was her biking speed in miles per hour?
To find the biking speed, we need to divide the distance (three-fourths of a mile) by the time (two-thirds of an hour).
Three-fourths of a mile divided by two-thirds of an hour is (3/4) / (2/3).
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction: (3/4) * (3/2).
This equals (9/8) miles per hour.
Therefore, Felicia's biking speed is 9/8 miles per hour.
9/8 in a mixed number
To express 9/8 as a mixed number, we need to find the whole number part and the fractional part.
The whole number part is obtained by dividing the numerator (9) by the denominator (8):
9 ÷ 8 = 1 with a remainder of 1.
So, the whole number part is 1.
The fractional part is the remainder (1) over the denominator (8):
1/8.
Therefore, 9/8 as a mixed number is 1 1/8.
The table shows the linear relationship between the number of guests a person brings to a lunch, and the total cost for her and her guests. Which description accurately matches the values in the table?
I'm sorry, but you haven't provided the table with the values. Could you please provide the table so that I can assist you accurately?
x, Number of Guests y, Cost
0 $4.00
2 $16.00
4 $28.00
6 $40.00
8 $64.00
The table shows the linear relationship between the number of guests a person brings to a lunch, and the total cost for her and her guests. Which description accurately matches the values in the table?
Responses
Based on the values in the table, we can identify the relationship between the number of guests and the total cost. Let's analyze the data step by step:
When there are 0 guests (x = 0), the total cost is $4.00 (y = 4.00).
When there are 2 guests (x = 2), the total cost is $16.00 (y = 16.00).
When there are 4 guests (x = 4), the total cost is $28.00 (y = 28.00).
When there are 6 guests (x = 6), the total cost is $40.00 (y = 40.00).
When there are 8 guests (x = 8), the total cost is $64.00 (y = 64.00).
By observing the data, we can see that for each additional guest, the total cost increases by $8.00. We can also note that when there are no guests (0 guests), the base cost is $4.00.
Therefore, the linear relationship between the number of guests and the total cost can be described as follows: The cost for a lunch is $4.00 plus $8.00 for each guest.
There are 9 computers and 72 students. What is the unit rate of students to computers?
Responses
A 1computer8students
1 computer 8 students
B 8students1computer
8 students 1 computer
C 3computers24students
3 computers 24 students
D 24students3computers
To find the unit rate of students to computers, we need to divide the total number of students by the total number of computers.
Given that there are 72 students and 9 computers, the unit rate of students to computers would be:
72 students ÷ 9 computers = 8 students per computer
Therefore, the correct response is:
B) 8 students 1 computer
are you sure this is the right anser
I apologize for the mistake in my previous response. You are right, the correct unit rate of students to computers in this case is actually:
72 students ÷ 9 computers = 8 students per computer
So, the correct response is:
B) 8 students 1 computer
Shawnda brought 64 fl oz of lemonade to the party. There are approximately 29.6 milliliters in 1 fluid ounce. Which measurement is closest to the number of milliliters of lemonade that Shawnda brought to the party?
Responses
A 1,856 mL1,856 mL
B 1,894.4 mL1,894.4 mL
C 29.4 mL29.4 mL
D 2,500 mL
To find the number of milliliters in 64 fluid ounces, we need to multiply 64 by the conversion rate of 29.6 milliliters per fluid ounce:
64 fl oz * 29.6 mL/fl oz = 1,894.4 mL.
Therefore, the measurement closest to the number of milliliters of lemonade that Shawnda brought to the party is:
B) 1,894.4 mL.
5 of 115 of 11 Items
05:25
Skip to resources
Question
Which answer choice represents a person driving 6 miles each hour?
Responses
A
Miles Traveled
Miles
Time (hours) Miles Traveled Miles Image with alt text: Time (hours)
B
Miles Traveled per Number of Hours Driven
Number of Hours Traveled, h Number of Miles Driven, m
1 6
3 12
5 18
7 24 Miles Traveled per Number of Hours Driven Number of Hours Traveled, h Number of Miles Driven, m 1 6 3 12 5 18 7 24
C m = h + 6, where m represents the number of miles driven and h represents the number of hours traveled m = h + 6, where m represents the number of miles driven and h represents the number of hours traveled
D A person who travels for 6 hours will go 1 mile.
The answer choice that represents a person driving 6 miles each hour is:
B) Miles Traveled per Number of Hours Driven
Number of Hours Traveled, h Number of Miles Driven, m
1 6
3 12
5 18
7 24
6 of 116 of 11 Items
06:47
Skip to resources
Question
A cheetah can run at a speed of 70 miles per hour. Which representation shows the distance a cheetah can travel at this rate?
Responses
A The cheetah travels 1 mile in 70 minutes.The cheetah travels 1 mile in 70 minutes.
B d = 70t, where d represents the number of miles traveled and t represents the number of hoursd = 70 t , where d represents the number of miles traveled and t represents the number of hours
C
Speed of a Cheetah
Miles
Time (hours) Speed of a Cheetah Miles Image with alt text: Time (hours)
D
Speed of a Cheetah
Time (hours), d Distances (miles), m
1 70
2 70
3 70
4 70
The representation that shows the distance a cheetah can travel at a speed of 70 miles per hour is:
D) Speed of a Cheetah
Time (hours), d Distances (miles), m
1 70
2 70
3 70
4 70
This representation shows that for each hour the cheetah runs, it can travel a distance of 70 miles.