Answer:
The exponential equation is 2^-5 = 1/32
Step-by-step explanation:
When rewriting the equation, we always take the base (2) and raise it to the answer (-5). Then we set that equal to the term (1/32)
2^-5 = 1/32
Answer:
y = -3x + 7
Step-by-step explanation:
Using the equation of line
y = mx + C
y - y_1 = m(x - x_1)
First find the slope
With eqn y = 1/3x - 3
Note, if two lines are perpendicular, their slope will be negative reciprocal
slope = m = -3/1
Using y - y_1 = m(x - x_1)
With point ( 3, -2)
x_1 = 3
y_1 = -2
y - (-2) = -3/1(x - 3)
y + 2 = -3/1(x -3)
Open bracket
y + 2 = -3(x - 3)/1
y + 2 = (-3x +9)/1
y = (-3x + 9 )/1 - 2
LCM is 1
y = -3x + 9 - 2
y = -3x + 7
The equation of the line is
y = -3x + 7
Answer: 60
Step-by-step explanation:
30 papers every minute.
Answer:
Hole 1. 12 x 10 = 120
Hole 2. 4 x 9 = 36
Hole 5. 6 x 14 = 84
Hole 6. 14 x 12 = 168
Step-by-step explanation:
for every question all you have to do is find the length of the base or width of the shape and multiply that times the length of the height of the shape.
Answer: 25.6
First, notice that there is 1 adult and 2 children.
A normal adult ticket costs 24. But it's 1/3 off, so 24 * 1/3 = 8 off. That means with the Railcard, it only costs 24 - 8 = 16.
Next, one child ticket costs 12. But it's 60% = 3/5 off, so 12 * 3/5 = 7.2 off. That means with the Railcard, it only costs 12 - 7.2 = 4.8.
Remember there are 2 children, so we multiply by 2 to get 4.8 * 2 = 9.6 for the children.
Final answer: 1 adult + 2 children = 16 + 9.6 = 25.6.
Hope that helped,
-sirswagger21
