A=LW,
W=L/2, L=2W so:
A=(2W)W
A=2W^2 and A=34 so:
2W^2=34
W^2=17
W=√17, and since L=2W
L=2√17
So the length is 2√17 and the width is √17
(length≈8.25 and width≈4.12 if you wanted approximations...)
Answer:
6 pints of blue
Step-by-step explanation:
note- 8 pints = 1 gallon
Original ratio- 3 parts blue to 1 part yellow ( 3b:1y)
This will make 4 pints if we say that 1 part can be one pint
Ricardo needs 8 pints
Divide the amount needed by how much one portion will make
8/4= 2
Multiply original ratio by 2 to see how many pints of each he’ll need for his new amounts
1y*2= 2 pints yellow paint
3b*2=6 pints of blue paint
So to make 8 pints of green with 3 parts blue to 1 part yellow Ricardo will need 6 pints of blue paint
Let me know if you have any questions and I hope this helps! :)
Answer:
x = 5, y = -2
Step-by-step explanation:
<u>Given equations:</u>
<u>From the first equation we get:</u>
<u>Substitute x in the second equation, find y:</u>
- 3x - y = 17
- 3*(1-2y) - y = 17
- 3 - 6y - y = 17
- -7y = 17 - 3
- -7y = 14
- y = -14/7
- y = -2
<u>Find x:</u>
- x = 1 - 2y
- x = 1 - 2*(-2)
- x = 1 + 4
- x = 5
Answer:
x = 387
Step-by-step explanation:
The wind acts in the opposite direction to the plane when the time is longer.
The wind acts in the same direction as the plane when the time is shorter.
Equation
d = r*t
Givens
- d = 1720
- x = plane's speed
- y = wind speed
- t1 = 5 hours
- t2 = 4 hours.
Substitution
- d = (x + y) * t
- 1720 = (x + y) * 4
- 1720 = (x - y) * 5
Since the two distances are the same, you can equate the right hand sides.
- (x + y) * 4 = (x - y)*5 Remove the brackets.
- 4x + 4y = 5x - 5y Add 5y to both sides
- 4x + 4y + 5y = 5x - 5y + 5y Combine all the terms.
- 4x + 9y = 5x Subtract 4x from both sides
- 9y + 4x - 4x = 5x - 4x Combine
- 9y = x
Now use one of the given equations with the distance
- 1720 = (x + y)*4 Substitute 9y for x
- 1720 = (9y + y) * 4 Combine
- 1720 = 10y * 4 Multiply the right
- 1720 = 40y Divide by 40
- 1720/40 = 40y/40 Do the division
- 43 = y y = wind speek
- 9y = x x = 9*y
- 9*43 = x
- x = 387 miles per hour.
It is only 1 proportion, and it is 1 problem.
10 8
---- = ---
X 4
1). It is 8x=40
2). Divide both sides
by 8
3). X=5
