Answer:
How can I figure out what integer's a fraction is in between
Answer:
eugene was the only person to do that brother want me to be a man of a woman called me maths exercise 3in a minute and 63633663rd of the day to the day I 6am 6to 7I 6be and 6I 663773to to the other day and I think you should write in 6a and the 3other of your day to day
Answer:
Rate of plane 735 km/hr
Rate of wind 65 km/hr
Step-by-step explanation:
Calculation to determine the rate of the plane in still air
Let Va represent the velocity of the airplane
Let Vw represent the velocity of the wind
When flying with the wind:
(Va+Vw)*(6 hours) = 4800
6Va + 6Vw = 4800
6Vw = 4800 - 6Va
Vw=4800/6-Va
Vw = 800 - Va
When flying against the wind:
(Va-Vw)*(6 hours) = 4020 km
6Va - 6Vw = 4020
Substitute 800-Va for Vw and solve for Va:
6Va - 6(800-Va) = 4020
6Va -4800 + 6Va = 4020
12Va = 8820
Va=8820/12
Va = 735 km/hr
Therefore the rate of the plane in still air is 735 km/hr
Calculation to determine the rate of the wind
Rate of wind:
Vw = 800 - Va
Vw= 800 -735
Vw= 65 km/hr
Therefore the rate of the wind is 65 km/hr
Remark
One of the ways you could solve this is to go to a place like Desmos and graph it for yourself. Then at least you would know what the answer looked like. Another way is to solve for the x value by equating the equations since the y has to be the same. We'll do both.
Solve For X
(2/3)x + 1 = -(2/3)x - 1 Add 1 to both sides
(2/3)x + 1 + 1 = - 2/3x Subtract (2/3x) from both sides.
2 = (-2/3)x - (2/3)x
Show the graph and comment
Notice that there is only one graph given that has a value of x = - 3/2 Normally you are not that lucky. Thanks for putting the graphs in. We are usually not that lucky and have to guess at the answer if it is a graph.
2 = - 4/3x Multiply both sides by 3
2 * 3 = - 4x
6 = - 4x Divide by - 4
6/-4 = x Reduce
-3/2 = x
Remark
The x value is wrong for the one on the left. It is also wrong for the third one from the left. And the last graph is also incorrect. Only the second from the left gives the right answer.
-2/3x + 5 = 20 - x
subtract 5 from each side
-2/3 x = 15 -x
add x to each side
-2/3 x +x = 15
get a common denominator of 3 for the x terms
-2/3x + 3/3 x =15
combine like terms
1/3 x = 15
multiply by 3 on each side
x = 45
Answer: x=45