The answer is B.
Reason: Think of it this way, the bottom number of all 3 fractions are related to 12. 6*2 4*3 and 3*4..
Answer:
k = - 8
Step-by-step explanation:
Subtract 9 from both sides to get the constants on one side and the variables on the other
9 - 2k = 25
- 2k = 25 - 9
Simplify
- 2k = 16
Divide by -2 on both sides to isolate the variable, then simplify once more.
- 2k/ -2 = 16/ -2
k = 16/ -2
k = -8
It would take 5 hours because you take 3 and divide that by 1.5 & you get 2 so 5 multiplied by 2 is 10. it would take her 30 minutes per page
1 step: to draw a rectangle around triangle RST, you should
- draw points A(-1,-1), B(-1,3) and C(2,3);
- connect points A, B, C and T consecutively.
2 step: rectangle ABCT has length AB=4 units and width BC=3 units. Then
sq. un.
3 step:
sq. un.
sq. un.
sq. un.
4 step:
sq. un.
Answer: in step two you write dimensions of rectangle ABCT: length 4 units and width 3 units. Correct choice is B.
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
