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 answer is (x-y)^2
hope it helps!!!!!!
the formula is
(a-b)^2
and when you expand it, it becomes
a^2-2ab+b^2
Answer:
Head bands: 18.58 inches of fabric
Wrist bands : 8.51 inches of fabric
Step-by-step explanation:
Jillian is making accessories for the soccer team.
For head bands
She uses 761.78 inches of fabric on headbands for 39 players and 2 coaches.
The total number of people = 39 player + 2 coaches = 41 people
Hence:
41 persons = 761.78 inches of fabric
1 person = x
Cross Multiply
41 × x = 761.78 × 1
x = 761.78/48
x = 18.58 inches
For wristbands
She also uses 331.89 inches of fabric on wristbands for just the players.
Number of players = 39 players
Hence:
39 players = 331.89 inches
1 players = x inches
Cross Multiply
39 × x = 1 × 331.89 inches
x = 331.89 inches/39
x = 8.51 inches
Therefore:
18.58 inches of fabric was used for head bands and 8.51 inches of fabrics was used for wristbands.
Total meat in the recipe he wants to use = 7 pounds
Beef : pork = 3 : 1
Total pork that he will use =
x 7 pounds
= 7/4 pounds
hope this helps
