1 1/6 hours is equal to 60 minutes add 10 minutes = 70 minutes
7/8 takes 70 minutes
To find out what can be done in 10 minutes, divide both numbers by 7
7/8 / 7 = 1/8
1/8 takes 10 minutes
To find out how much is painted in 1 minute, divide both by 10
1/8 / 10 = 1/80
1/80 takes 1 minute
Answer:
For a = 1.22 there is one solution where y = 1.3
Step-by-step explanation:
Hi there!
Let´s write the system of equations:
a(0.3 - y) + 1.1 +2.4x(y-1.2) = 0
-1.2(x-0.5) = 0
Let´s solve the second equation for x:
-1.2(x-0.5) = 0
x- 0.5 = 0
x = 0.5
Now let´s repalce x = 0.5 and y = 1.3 in the first equation and solve it for a:
a(0.3 - y) + 1.1 +2.4x(y-1.2) = 0
a(0.3 - 1.3) + 1.1 + 2.4(0.5)(1.3 -1.2) = 0
a(-1) + 1.1 + 1.2(0.1) = 0
-a + 1.22 = 0
-a = -1.22
a = 1.22
Let´s check the solution and solve the system of equations with a = 1.22. Let´s solve the first equation for y:
1.22(0.3 - y) + 1.1 +2.4(0.5)(y-1.2) = 0
0.366 - 1.22y + 1.1 + 1.2 y - 1.44 = 0
-0.02y +0.026 = 0
-0.02y = -0.026
y = -0.026 / -0.02
y = 1.3
Then, the answer is correct.
Have a nice day!
Answer:
Step-by-step explanation:
Given that from a well shuffled set of playing cards (52 in number) a card is drawn and without replacing it, next card is drawn.
A - the first card is 4
B - second card is ace
We have to find probability for
P(A) = no of 4s in the deck/total cards = 
After this first drawn if 4 is drawn, we have remaining 51 cards with 4 aces in it
P(B) = no of Aces in 51 cards/51 = 
Hence
(Here we see that A and B are independent once we adjust the number of cards. Also for both we multiply the probabilities)
Answer:
The magnitude of the necessary lifting force is 7.95N
Step-by-step explanation:
Force = mv^2/r
mass (m) = 2.00105kg, velocity (v) = 123m/s, radius (r) = 3810m
Force = 2.00105×123^2/3810 = 30273.89/3810 = 7.95N
Answer:
Nina's rate in miles per hour is 2.7 miles/hour
Nina bikes faster
Step-by-step explanation:
we know that
1 hour=3,600 seconds
1 mile=5,280 feet
<em>Convert feet to miles</em>
63,360 feet=63,360/5,280=12 miles
Convert seconds to hours
3,400 sec=3,400/3,600=0.94 hours
Find Nina's rate in miles per hour
12/0.94=12.7 miles/hour
Sophia's rate in miles per hour is 10 miles/hour
Compare the rates
12.7 miles/hour > 10 miles/hour
therefore
Nina bikes faster
