Answer:
She is going at the rate of 4.5 feet per second.
Step-by-step explanation:
Given:
The rate of walking is 90 yards per minute.
Now, to find the rate in feet per second.
1 yard = 3 foot.
1 minute = 60 seconds.
So, first we find the rate of walking per second in yard =
Therefore by dividing we get =
Now, we find the rate of walking per second in feet =
So, by multiplying we get =
Therefore, she is going at the rate of 4.5 feet per second.
Answer:
1.25 hours or 1 hour and 15 minutes
Step-by-step explanation:
12:45 - 12:30 = :15
15 minutes equates to 1/5 of the rides
So, we multiply 15 by 5 to find the total time taken to ride all the rides.
15 x 5 = 75
75/60 = 1.25
It would take him 1.25 hours to ride all the rides at the carnival or 1 hour and 15 minutes.
K = F + 459.67
Subtract K on both sides:
0 = F - K + 459.67
Subtract F on both sides:
-F = -K + 459.67
Divide each term by -1 so that the variables are positive:
F = K - 459.67
The solution to the given system of equation is (25/7, 6/7)
<h3>System of equation</h3>
Given the system of equation expressed as:
x= - 4y+7 ........... 1
-2y+3x=9 ...........2
Substitute the equation 1 into 2 into have:
-2y + 3(-4y+7) = 9
-2y + 3(-4y) + 3(7) = 9
-2y - 12y + 21 = 9
Collect the like terms
-14y = 9- 21
-14y = -12
y = 6/7
Substitute y = 6/7 into equation 1;
x =-4y + 7
x = -4(6/7) + 7
x= -24/7 + 7
x = -24+49/7
x = 25/7
Hence the solution to the given system of equation is (25/7, 6/7)
Learn more on system of equation here; brainly.com/question/14323743
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