Solution for 0.5 is what percent of 3:
0.5:3*100 =
(0.5*100):3 =
50:3 = 16.666666666667
Now we have: 0.5 is what percent of 3 = 16.666666666667
Question: 0.5 is what percent of 3?
Percentage solution with steps:
Step 1: We make the assumption that 3 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$x.
Step 3: From step 1, it follows that $100\%=3$100%=3.
Step 4: In the same vein, $x\%=0.5$x%=0.5.
Step 5: This gives us a pair of simple equations:
$100\%=3(1)$100%=3(1).
$x\%=0.5(2)$x%=0.5(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{3}{0.5}$
100%
x%=
3
0.5
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{0.5}{3}$
x%
100%=
0.5
3
$\Rightarrow x=16.666666666667\%$⇒x=16.666666666667%
Therefore, $0.5$0.5 is $16.666666666667\%$16.666666666667% of $3$3.
Answer:
Step-by-step explanation:
We're given both the y-intercept and a point on the graphs of both functions, so our work her is largely just substituting x and y values in the general form of the equation for an exponential function.
For the first one, we can start by using the point (0, 2) to solve for a:
Next, we can use that a-value and the second point to solve for b:
This gives us the equation for the first function.
We can repeat the same process for the second function. Solving for a:
And then for b, using the point (2, 1):
This gives us the general equation
Given:
d(t) = 0.8t²
d(5) = 0.8*5² = 0.8 * 25 = 20
d(10) = 0.8*10² = 0.8 * 100 = 80
Average speed = distance traveled / time of travel
Average speed = 20 meters / 5 seconds = 4 meters per second
Average speed = 80 meters / 10 seconds = 8 meters per second
4 mps + 8 mps = 12 mps
12 mps / 2 = 6 mps the average speed in meters per second between 5 and 10 seconds.