Answer:
The average speed of the trip there is <u>86 mph.</u>
Step-by-step explanation:
Given:
Time taken to reach Portland = 3 hours
Time taken to come beck from Portland = 6 hours
Average speed for the returning trip = 43 mph
Distance traveled for the returning trip can be obtained by multiplying the returning speed by returning time. Therefore, distance for returning trip is:

Now, distance traveled for the return trip is same as going to the trip.
So, distance traveled by Jessica going to Portland = 258 miles.
Time taken to go there = 3 hours
Therefore, speed of the trip there is given as the ratio of distance and time and is given as:

Therefore, the average speed of Jessica's car to go to Portland is 86 mph.
The answer is 2,713 in³
The volume (V) of the prop is the sum of the volume of cone (V1) and half of the volume of the sphere (V2): V = V1 + 1/2 * V2
Volume of the cone is:
V1 = π r² h / 3
According to the image,
h = 14 in
r = 9 in
and
π = 3.14
V1 = 3.14 * 9² * 14 / 3 = 1,186.92 in³
The volume of the sphere is:
V2 = π r³ * 4/3
According to the image,
r = 9 in
and
π = 3.14
V2 = 3.14 * 9³ * 4/3 = 3,052.08 in³
The volume of the prop is:
V = V1 + 1/2 * V2
V = 1,186.92 in³ + 1/2 * 3,052.08 in³
V = 1,186.92 in³ + 1,526.04 in³
V = 2,712.96 in³ ≈ 2,713 in³
I think it’s going to be 60
To be exact she made a profit of $6.84!
2.58+2.58=5.16 This is how much she has to make to make a profit.
0.75*16=12 She made $12 in total :)
hope it helps:))
Answer:
Step-by-step explanation:
Hi Millie.
First we can realize that the number of cubes of each type does not matter, only the ratios between them. We see that if there are x yellow cubes, there are 3x blue cubes. And therefore, there are 5*3x green cubes, or 15x green cubes. This means that the cubes are in a 1:3:15 ratio, or that for every 1 yellow cube, there are 3 blue and 15 green cubes.
Now we can find the probability of picking a yellow cube. Since there are 18 non-yellow cubes for every yellow cube, this means that there is a 1/19 possibility of picking a yellow cube.