At how many points does the graph of the function below intersect the x-
1 answer:
You might be interested in
Answer: The time at which the distance between the two is 150 miles is 1.3 hr.
Step-by-step explanation:
Step 1: Sketch the problem as shown in the attached image.
The problem can be solved using Pythagoras theorem since the sketch is a right angled triangle.
It follows the equation x² + y² = 15².
The distance covered by Greg is given by <em>x mi</em>, and that of Erin is given by <em>y mi</em>.
Step 2: To derive the distance covered by Erin and Greg, we use the formula <em>Speed = distance ÷ time.</em>
Which by cross-multiplying gives <em>distance = speed × time</em>.
Let time taken to cover the distance be <em>t h</em>.
Given that Speed of Erin is 9 mph and that of Greg is 7 mph.
Hence, distance covered by Greg, x = 7 × t = 7t.
Distance covered by Erin, y = 9 × t = 9t.
Step 3: Insert the terms x and y into the Pythagoras equation x² + y² = 15² and solve for <em>time t.</em>
(7t)² + (9t)² = 15²
49t² + 81t² = 225
(49 + 81)t² = 225
t² = 225/(49 + 81)
t² = 225/130
t² = 1.730769231
t = √1.730769231
t = 1.315587029
t = 1.3hr
Hence the time at which the distance between the two is 150 miles is 1.3 hr.
Answer:
36
20 percent * 180 =
(20:100)* 180 =
(20* 180):100 =
3600:100 = 36
Now we have: 20 percent of 180 = 36
Question: What is 20 percent of 180?
Percentage solution with steps:
Step 1: Our output value is 180.
Step 2: We represent the unknown value with $x$.
Step 3: From step 1 above,$180=100\%$.
Step 4: Similarly, $x=20\%$.
Step 5: This results in a pair of simple equations:
$180=100\%(1)$.
$x=20\%(2)$.
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
$\frac{180}{x}=\frac{100\%}{20\%}$
Step 7: Again, the reciprocal of both sides gives
Step-by-step explanation:
Hope it is helpful.....
