Answer:
322 1/2 miles
Step-by-step explanation:
Recall how s = d/t ; speed = distance/time.
To effectively solve for distance traveled, rearrange the formula so that distance is on the left-hand side by multiplying speed, and time.
speed × time = distance/time × time
speed × time = distance
distance = speed × time ; d = st.
Now to find the total distance traveled, individually multiply the rate of speed with the time. Time will cancel, and we will get the total mileage.
Given an average speed of 60 mph at a certain time for 4.5 hours, and another average speed of 35 mph at another time of 1.5. Calculate the distance individually, and then add both distances together. Distance 1 = 60 mph × 4.5 h = 60 miles / h × 4.5h = 60 miles × 4.5 = 270 miles.
Distance 2 = 35mph × 1.5h = 35 miles / h × 1.5h = 35 miles × 1.5 = 52 1/2 miles.
Distance 1 + Distance 2 = Total distance.
270 miles + 52 1/2 miles = 322 1/2 miles.
We are told that y varies directly with x.
Therefore
y = k*x
where
k = the constant of variation
The given table and the ratio of k=y/x is shown below.
x y k
--- ------ --------
6 10 1.667
9 15 1.667
12 20 1.667
15 25 1.667
Answer:
k = 1.667
y = 1.667x
Answer:
47 meetings
Step-by-step explanation:
1. You know the company generates 100,000 dollars in profits, and pays 50,000 dollars to host the event, therefore, subtract both numbers to determine how much profit they make.
100,000 - 50,000 = 50,000 dollars
2. You now know that company generates 50,000 dollars in profits for each meeting
3. You also know that the company is aiming for a profit of 2.35 million, so you would divide the the goal by the total profits per meeting
2,350,000/50,000 = 47
It takes 47 meetings for the company to reach their goal.
Counting backwards next is 1
The height of the given trapezoid is 7.5 m.
Step-by-step explanation:
Step 1:
The trapezoid's area is calculated by averaging the base lengths and multiplying it with the trapezoid's height.
The trapezoid's area, 
Here 
is the lower base length and 
is the upper base length while h is the height.
Step 2:
In the given problem, 
and 
. Assume the height is h m.
The trapezoid's area 
So the height of the given trapezoid is 7.5 m.
