Answer:the plane in still air is 904 km/h
the rate of the wind is 104 km/h
Step-by-step explanation:
Let x represent the rate or speed of the plane in still air.
Let y represent the rate or speed of the wind.
Flying against the wind, an airplane travels 4000 kilometers in 5 hours. This means that the total speed of the airplane would be (x - y) km/h
Distance = speed × time
Therefore
4000 = 5(x - y)
4000 = 5x - 5y - - - - - - - - -1
Flying with the wind, the same plane travels 5040 kilometers in 4 hours. This means that the total speed of the airplane would be (x + y) km/h. Therefore,
5040 = 4(x + y)
5040 = 4x + 4y - - - - - - - - - 2
Multiplying equation 1 by 4 and equation 2 by 5, it becomes
16000 = 20x - 20y
20160 = 20x + 20y
Subtracting, it becomes
- 4160 = - 40y
y = - 4160/-40
y = 104
Substituting y = 104 into equation 1, it becomes
4000 = 5x - 5 × 104
4000 = 5x - 520
5x = 4000 + 520
5x = 4520
x = 4520/5 = 904
The distributive property will give answer 2 ( 6 + 12 ) = 12 + 24 .
The distributive law of multiplication over basic arithmetic such as addition and subtraction is known as distributive property .
According to this property , multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the no . and then adding the products together .
In other words, according to the distributive property, an expression of the form A ( B + C ) can be solved as A ( B + C ) = AB + AC.
2 ( 6 + 12 ) = 12 + 24 .
Hence , the distributive property will give answer 2 ( 6 + 12 ) = 12 + 24 .
To know more on distributive property follow link :
brainly.com/question/2807928
#SPJ9
Answer:
a. The expected or average costs for all weekly rat purchases is $20.00
Step-by-step explanation:
a. A mean value of $20.00 means that over a period of 52 weeks, the company can expect to spend $20.00 per week on rat purchases.
b. This is incorrect since individual values don't interfere in the mean. For instance, if half the weeks had a cost of $19.00 and the other half had a cost of $21.00, the mean cost would still be $20.00 even though no particular week had a $20.00 cost
c. Incorrect. The median is the central value in a distribution; the median and the mean are not necessarily the same.
d. Incorrect, same as item b.
Six hundred eighty thousand ten
six hundred eighty thousand and ten and seven tenths
Answer:
3003
Step-by-step explanation:
We want to find out how many ways we can choose 10 players among 15 players (since the goalie is not interchangeable)
The number of different lineups you can have can be found by using combination:
There are 3003 different lineups that can be chosen.
