Answer:
2 km/h
Step-by-step explanation:
Let
Rate of river current = x km/h
Speed of Peter's boat = 4x km/h
He takes 15 km trip up (opposite direction)
His speed upstream = 4x - x
= 3x
His speed is 3x and distance is 15 km
Time = Distance / Speed
15/3x
= 5/x
And
Moving downstream (same direction)
Speed will be 4x + x = 5x
Distance = 15km,
speed = 5x
Time = Distance / Speed
= 15/5x
= 3/x
Total time take for trip = 4 hours
Total time take for trip = upstream + downstream
4 =5/x + 3/x
4 = 8/x
Cross product
4 * x = 8
x = 8/4
x = 2
Rate of river current = x km/h
= 2 km/h
Answer: Company A would be a better deal for number of minutes over 200
Step-by-step explanation:
Let x represent the number of minutes that you would use with either company A or company B.
Company A has a monthly charge of $10 plus 5¢ a minute for each minute of long distance calls. It means that the cost of x minutes of long distance call is
10 + 0.05x
Company B has a monthly charge of $8 plus 6¢ a minute for long distance calls. It means that the cost of x minutes of long distance call is 10 + 0.05x
8 + 0.06x
For Company A to be a better deal, it means that
10 + 0.05x < 8 + 0.06x
10 - 8 < 0.06x - 0.05x
2 < 0.01x
0.01x > 2
x > 2/0.01
x > 200
Check the picture below.
so the rectangular prism, or that box, is really just 6 rectangles stacked up to each other at the edges, notice
front and back are just two 9x5 rectangles
left and right are just two 5x4 rectangles
top and bottom are just two 9x4 rectangles
get the area of all 6, sum them up, and that's the area of the box.
Answer:
1/10
Step-by-step explanation:
(4/40)/ (4/4) = 1/10
Answer:
Option 2
Step-by-step explanation:
In ΔABC,
AD is a median and point M is the point of concurrence of all medians.
Therefore, point M is a centroid of the triangle.
And M will divide line AD in the ratio of 1 : 2 (Ratio of AM : MD)
Since, length of MD = 2 cm
Therefore, length of AM = 4 cm
Total length of AD = AM + MD
= 2 + 4
= 6
Option 2 will be the answer.
