Answer:
The answer is D.
Step-by-step explanation:
It is given that Gabriella swims 2 laps for 1 minute. So in order to find how many minutes did he swim for each lap, you have to divide it by 2 :
2 laps = 1 minute
2 laps ÷ 2 = 1 minute ÷ 2
1 lap = 1/2 minute
= 30 seconds
Test :
Gabriella swim 1/2 min per lap. So if he swim 2 laps, you have to multiply it by 2 :
1/2 × 2 = 1 minute
Hi there!
200(20)^x > 500x + 400
Let's find the critical points of the inequality
200(20^x) = 500x + 400
Now we can divide both sides by 200
(200(20^x))/200 = (500x + 400)/200
20x^x = 5/2 x + 2
There are no critical points.
Thus,
The answer is: No solution
As always, it is my pleasure to help students like you.
<h2>
Answer: x = 6</h2>
* = things that have changed or are being changed
<h2>
Explanation:</h2>
1. rearrange terms
*4
4 + 3
* = 5
+ 2
+ 2
0
*3x + 44* = 5x + 2 + 20
2. combine like terms
3 + 44 = *5x + 2* + 20
3 + 44 = *7x* + 20
3. Subtract 4
4 from both sides of the equation
3x + 44 = 7x + 20
3x + 44 *-44* = 7x + 20 *-44*
4. Simplify
(Subtract the numbers)
3x + *44 - 44* = 7x + 20 - 44
3x = 7x + 20 - 44
(Again)
3x = 7x + 20 *- 44*
3x = 7x - 24
5. Subtract 7
from both sides of the equation
3x = 7x - 24
3x *- 7x* = 7x - 24 *- 7x*
6. Combine like terms
*3x - 7x* = 7x - 24 - 7x
*-4x* = 7x - 24 - 7x
(Again)
-4x = *7x* - 24 *- 7x*
-4x = - 24
7. Divide both sides of the equation by the same term
-4x = - 24

8. Simplify
(Cancel terms that are in both the numerator and denominator)

*x* = 
(Divide the numbers)
x = 
x = 6