Answer:
Option B. y = 2x; 20 feet
Step-by-step explanation:
1. Determination of the equation that represents the relationship.
Let y be the distance travelled.
Let x be the time taken.
Let K be the speed.
From the question given above, the following data were obtained:
Distance (y) = 80 ft
Time (x) = 40 s
Speed (k) =.?
Speed = Distance /time
K = y/x ......... (1)
K = 80/40
K = 2 ft/s
Substitute the value of k into equation 1
K = y/x
K = 2 ft/s
2 = y/x
Cross multiply
y = 2x
Therefore, the equation that represents the relationship is y = 2x
2. Determination of the distance travelled in 10 s.
Speed (k) = 2 ft/s
Time (x) = 10 s
Distance (y) =.?
y = 2x
y = 2 × 10
y = 20 ft
Therefore, the person will travel 20 feet in 10 seconds.
From the above calculations, the right answer to the question is
Option B. y = 2x; 20 feet
Answer: no solution
Step-by-step explanation:
First lets simplify
-2(x+3) + 2(x+4) = 24
-2x - 6 + 2x + 8 = 24
We can simplify this further by combining like terms
2=24 is the equation we get after combining like terms.
Since 2 is not equal to 24, the answer is no solution.
Answer:
\[v(t)=\underset{\text{Δ}t\to 0}{\text{lim}}\frac{x(t+\text{Δ}t)-x(t)}{\text{Δ}t}=\frac{dx(t)}{dt}.\]
Step-by-step explanation:
This is the concept of statistics, given that there are 650 students and all of them read a total of 18,996 pages. We are required to get the average number of pages that they all read;
Average, otherwise known as the mean is the calculated 'central' value of a set of numbers;
The formula for mean is given by;
mean=(sum)/(count)
in our case:
sum=18,996
count=650
thus;
mean=18996/650
=29.23
Here we can conclude that the average number of pages read by each student in the High School was 29.23