speed of the plane in still air is 76 m/s and speed of the wind is 28 m/s .
<u>Step-by-step explanation:</u>
Here we have , A plane traveled 1248 miles to Ft. Worth and back. The trip there was with the wind. It took 12 hours. The trip back was into the wind. The trip back took 24 hours. We need to find What is the speed of the plane in still air? What is the speed of the wind? Let's find out :
<u>For Going trip :</u>
Let speed of plane be u , and wind be v so : Speed = ( Distance ) / ( time )
⇒ 
⇒ 
...........(1)
<u>For Returning Trip :</u>
⇒ 
⇒ 
...........(2)
Adding both equations we get :
⇒ 
⇒ 
⇒ 
Putting this value in equation (1) we get :
⇒ 
⇒ 
Therefore , speed of the plane in still air is 76 m/s and speed of the wind is 28 m/s .
Answer:
The equation that represents this situation is 2c² - 5c - 322 = 0
Step-by-step explanation:
∵ Kenan has c clients
∵ Jeff has five less than twice the number of clients that
Kenan has
- That means multiply c by 2 and then subtract 5 from the
product to find the number of Jeff's clients
∴ Jeff's clients = 2c - 5
∵ The product of the number of clients they have is 322
∴ c × (2c - 5) = 322
- Multiply c by the bracket (2c - 5)
∴ (c)(2c) + (c)(-5) = 322
∴ 2c² + (-5c) = 322
- Remember (+)(-) = (-)
∴ 2c² - 5c = 322
- Subtract 322 from both sides
∴ 2c² - 5c - 322 = 0
The equation that represents this situation is 2c² - 5c - 322 = 0
Hey there! Hello!
Not sure if you still need these answers, but I'd love to help out if you do!
Now, I want you to go ahead and think of some stuff that's true for squares. To name a few, the opposite sides are going to be parallel to one another, all the angles are 90°, all the sides are the same length, and both diagonals are going to be perpendicular and equal in length. I'm sure there's even more, but I'll leave that to you. (BTW, by diagonals, I mean the lines that go through the the opposite diagonal corners).
What about rectangles? The opposite sides are going to be parallel to one another, the diagonals are going to be equal in length, and the angles are going to be 90°.
Now, rhombi. All sides are going to be equal, opposite sides are going to be parallel, the diagonally opposite angles will be equal to each other, and the diagonals bisect each other at 90°.
And lastly, parallelograms. Pretty similar to rhombi in that they have parallel opposite sides and that the opposite diagonal angles are equal to each other, but there's one thing that makes a parallelogram not a rhombus.
If you differentiate the stuff I described, you'll be golden. There's a lot to choose from, and I personally like to have options. Hope this helped you out, feel free to ask me any additional questions you have! :-)
Answer:
y + 3 = -1 (x +6)
Step-by-step explanation:
Answer:
3 5 30 32
Step-by-step explanation:
The question in English is
The age of 4 members of a family adds up to 70. Mom is 6 times bigger than her son and 10 times bigger than her daughter. Dad is 2 years older than Mom. How old are each of the family members? Write the result in ascending order and separated by spaces
Let
x----> Mon's age
y----> Son's age
z----> Daughter's age
w---> Dad's age
we know that
x+y+z+w=70 -----> equation A
x=6y ----> y=x/6 -----> equation B
x=10z ----> z=x/10 -----> equation C
w=2+x -----> equation D
substitute equation B, C and D in equation A and solve for x
x+(x/6)+(x/10)+(2+x)=70
Multiply by 60 both sides
60x+10x+6x+120+60x=4,200
136x=4,200-120
x=4,080/136
x=30 years
Find the value of y
y=x/6 -----> y=30/6=5 years
Find the value of z
z=x/10 ----> z=30/10=3 years
Find the value of w
w=2+x ----> w=2+30=32 years
Write the result in ascending order and separated by spaces
3 5 30 32
so
Daughter Son Mon Dad
