Answer:
Pat t2 = 40 hrs
Step-by-step explanation:
Given:-
- Fred can paint a house in t1 = 10 hours.
- Pat can paint a house in t2 hours.
- pat and Fred can paint a house in T = 8 hours.
Find:-
Which equation, when solved will produce the number of hours need for pat to paint the house alone
Solution:-
- The number of people working on a particular activity " painting a house " is inversely proportional to time taken to complete the activity. tn = T. The relation for individual time taken ti to complete an activity.
Sum ( 1 / ti ) = 1 / T
Where, ti = The individual time for (ith) person
T = The total time taken to complete the time by i = n number of people.
- For n = 2,
1/t1 + 1/t2 = 1/T
1/10 + 1/t2 = 1/8
1 / t2 = 0.025
t2 = 40 hrs
- It takes Pat t2 = 40 hrs to complete painting the house.
Answer:
30 seconds
Step-by-step explanation:
10 ÷ 10 = 1 block
5 ÷ 10 = 0.50
0.50 of a minute is 30 seconds
The height and radius that will give us the smallest amount of paper, should have should have the perfect dimension, in that the diameter should be equal to the height. thus let the diameter be x, the height will be x and the radius will be x/2
thus the volume of the cone will be:
V=1/3πr^2h
=1/3*π*(x/2)^2*x
=0.262x^3
hence the value of x will be:
33=0.262x^3
x^3=125.95
x=(125.95)^(1/3)
x=5.0126=5.01 cm
thus the diameter=height=5.01cm
Answer:
Step-by-step explanation:
As long as the two equations represent the same straight line on the coordinate plane (they overlap), there will be infinite many intersections and infinite number of solutions.
Answer:
C
Step-by-step explanation:
When we talk of rate of change, we talk of the slope of the line
If we had a line;
y = mx + b
m is the slope ( which is the rate of change)
To get the slope of the line, we select any two points on the line and apply the slope formula
m = y2-y1/x2-x1
let us take points (0,0) and (3,9)
m = 9-0/3-0 = 9/3 = 3
The slope here is 3
so from the option, we can see that the third option is the correct answer
