Step-by-step explanation:
Given,
a=t
b=2
-2ab=-2×t×2 = -4t
-3a+b=-3×t+2= -3t+2
Answer:
Diameter of pound = 10 yd
Step-by-step explanation:
Given area of circular pond = 78.5 square yd
To find the diameter of the pond.
Solution:
The pond being circular in shape, the area of pond can be given as:
⇒ 
where
represents radius of the pond.
Thus, we have:
⇒ 
Using 
⇒ 
Solving for 
Dividing both sides by 3.14
⇒ 
⇒ 
Taking square root both sides.
⇒ 
⇒ 
So, radius = 5 yd, as distances are always positive.
Diameter = 
Thus, diameter of pound = 10 yd
Slope is a number in front of x, so slope is (-2)
y-y1=m(x-x1)
y-5= -2(x+5)
y-5= -2(x-(-5))
so y1=5, x1=-5, a point is (x1,y1), so the point is (-5,5)
Answer:
Range of player's height = 9 inch
Step-by-step explanation:
Given:
Number of players Height range
4 66-67
8 68 -69
14 70-71
9 72-73
1 74-75
Find:
Range of player's height
Computation:
Range = Maximum value - Minimum Value
Range of player's height = Maximum height of a player - height of a player
Range of player's height = 75 inch - 66 inch
Range of player's height = 9 inch
Answer:
The maximum number of sandwiches she can buy is 24.
Step-by-step explanation:
We can create a function to represent the cost of her team's lunch in function of the number of people in the team. We have:

Since she needs to stay on budget, the cost has to be less or equal to 170, therefore:

Since she can't buy 0.8 sandwiches, the maximum number of sandwiches she can buy is 24.