Answer:
Step-by-step explanation:
3x-2y= 100
3x= 10 +2y
x =(10+2y)/
Y= mx +b ; x is the slope and y is the y-intercept.
So in this case, our equation will be y= 3x + 19 :)
Answer:
16y−32z
Step-by-step explanation:
:D
Answer:
Plane Speed (x) = 378 mph
Step-by-step explanation:
Equation
d = r * t
Givens
With the wind
- d = 1680 miles
- t = 4 hours
- r = x + y
Against the wind
- d = 1680
- t = 5 hours
- r = x - y
Equation
The distances are the same, so you can solve for x in terms of y and then deal with the actual distance.
(x + y)*4 = (x - y)*5 Remove the brackets on both sides
Solution
- 4x + 4y = 5x - 5y Subtract 4x from both sides
- 4y = -4x + 5x - 5y Combine
- 4y = x - 5y Add 5y to both sides
- 5y + 4y = x
- x = 9y
Solution part 2
Now take one of the distance formulas and solve for x first then y.
- (x - y)*5 = 1680 Substitute 9y for x
- (9y - y)*5 = 1680 Subtract on the left
- 8y * 5 = 1680 Multiply on the left
- 40y = 1680 Divide by 40
- y = 1680/40
- y = 42 That's the speed of the wind.
- (x - y)*5 = 1680 Substitute the wind speed for y
- (x - 42)*5 = 1680 Divide both sides by 5
- (x - 42) = 1680 / 5 Do the division on the right
- (x - 42) = 336 Add 42 to both sides.
- x = 336 + 42
- x = 378 mph Plane's speed
Question:
Martin uses 5/8 of a gallon of paint to cover 4/5 of a wall. what is the unit rate at which Martian paints in walls per gallon
Answer:
0.78125 walls per gallon
<em></em>
Step-by-step explanation:
Given
Required
Determine the unit rate
This is calculated as:
Substitute values for wall and paint
Simplify:
Change to *
<em>Hence, the unit rate is: 0.78125 walls per gallon</em>
