Answer:
y = -5x + 7
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Step 1: Define
5x + y = -2
Random point (2, -3)
Step 2: Rewrite
y = -5x - 2
m = -5
Step 3: Write parallel line
y = -5x + b
-3 = -5(2) + b
-3 = -10 + b
7 = b
y = -5x + 7
Answer: Both families were travelling at the same speed/rate of 1mile/0.65mins or 1mile/0.01hr.
Step-by-step explanation: Speed of Houck family's train = 552m/6hrs
speed of Robert family's train = 744m/8hrs.
Therefore considering Houck speed,
552miles = 6hours
1mile = (6 x 60)/552
= 360/552
= 0.65minutes. Average speed = 1mile/0.65mins. Or 1mile/0.01hr
For Robert
744miles = 8hours
1mile = ( 8 x 60 )/744
= (480/744)minutes
= 0.645
= 0.65minutes. Average speed = 1mile/0.65mins. Or 1mile/0.01hr
Conclusion: Both families were travelling at the same speed/rate.
To get that minutes in hour, just divide by 60 to get concert to hours.
Answer:
They'll be able to get 34 bottles from the containers.
Step-by-step explanation:
Since the bottles are cylindrical we can calculate their volume by using the following formula:
V = base_area*h
V = \pi*(r^2)*h
r = d/2 = 4/2 = 2 inches
V = 3.14*(2^2)*5 = 3.14*4*5
V = 3.14*20 = 62.8 inches^3
In order to know how many full bottles the players will get we need to divide the total volume of the containers, which is given by the sum of the volume of each container, and divide it by the volume of each bottle. We have:
bottles = (345*pi + 345*pi)/62.8 = 690*pi/62.8 = 2,166.6/62.8 = 34.5
Since the problem wants the amount of full bottles we only take the integer part, so they will be able to get 34 bottles from the containers.
