Answer:
B
Step-by-step explanation:
The number of ways to choose a combination of 7 objects from a group of 15 objects is 15! / (7! 8!)
I'm assuming each grid square= 1 square mile.
To do this, you first need to find the total distance.
The first component of his walk takes him from an x-coordinate of 2 to a coordinate of -4 1/2. Since the y-value remains the same, you're not worried about that for this part of the problem. The difference between 2 and -4 1/2 is 6 1/2, so that is your horizontal distance.
Now he walks from the (-4 1/2, -1 3/4) to (-4 1/2, 5 1/4). This time, the x-value is constant, so you only need to worry about the y. As they are on opposite sides of the x-axis, you can add the y-values to get a result of 7, which is your vertical distance.
I just realized I did those distances in reverse order, but it should be ok because the total distance is the same.
To find the total distance, add vertical to horizontal.
6 1/2 + 7 = 13 1/2. This is your total distance.
Now that you have both his speed (given), and total distance, you can find the time it will take him. If he is moving at 4 1/2 mph and the distance is 13 1/2 miles, you can use s=d/t to find the time. 3 1/2 miles divided by the time = 4 1/2 mph. To solve for t, multiply both sides by t and divide that by s, so t= d/s. we know d= 13 1/2 and s= 4 1/2, so t= 13.5 divided by 4.5 = 3. As his speed is in mph, the unit is in hours. Therefore, the answer should be 3 hours.
<u>Answer:</u>
The correct answer option is B. Number of Days 120 240 360 480 600 Number of Stories 5 10 15 20 25.
<u>Step-by-step explanation:</u>
We are given some tables showing the number of stories completed in the construction of four different high-rise buildings and the number of days spent working on the building.
We are to determine whether which table represents a linear relationship.
Table B represents a linear relationship since its ratio of number of days to number of stories completed is constant.
Number of Days 120 240 360 480 600
Number of Stories 5 10 15 20 25
Ratio 24 24 24 24 24
Answer:
Both boxes have the same amount of work applied to them. The smaller box will get to the end first.
Step-by-step explanation:
For the 400 kg box, we can say,
force = 1 newton
force = mass*acceleration
1 = 400*acceleration
acceleration = 1/400 meters per second^2
acceleration = 0.0025 meters per second^2
Each second, the larger box's velocity is increasing by 0.0025 meters per second.
While the smaller box would have an acceleration of...
force = 1 newton
force = mass*acceleration
1 = 200*acceleration
acceleration = 1/200 meters per second^2
acceleration = 0.005 meters per second^2
Which is twice as much as the larger box.
Put simply: if the force applied is the same for the two boxes, then the smaller box will have larger acceleration. This is because more force is needed to push on the larger mass.
Because the smaller box has more acceleration, it will naturally travel faster compared to the larger box. Therefore, the smaller box reaches the goal line faster.
Answer:
(3, 4 )
Step-by-step explanation:
3x - y = 5 → (1)
x + y = 7 → (2)
adding the 2 equations term by term will eliminate y
4x + 0 = 12
4x = 12 ( divide both sides by 4 )
x = 3
substitute x = 3 into either of the 2 equations and solve for y
substituting into (2)
3 + y = 7 ( subtract 3 from both sides )
y = 4
solution is (3, 4 )
