Answer:
-5,-4.9,-4.35,-4.3,-4
Step-by-step explanation:
Hope this helps :)
<u>Answer:</u>
<u>Distance:</u> 6x + 15.5y > 55.5
<u>Time:</u> x + y > 4.5
<u>Step-by-step explanation:</u>
We are given that Martha is training for a duathlon and she covered a total distance of over 55.5 miles in more than than 4.5 hours of training.
Also, she runs at a speed of 6 mph and bikes at a rate of 15.5 mph.
We are to write inequalities representing the distance she traveled and the total time she spent training.
<u>Distance:</u> 6x + 15.5y > 55.5
(formula for distance = speed x time so speeds for running and biking are multiplied by their number of hours)
<u>Time:</u> x + y > 4.5
(she trained for more than 4.5 hours, x hours for running and y hours for biking.
<h3>
Answer: $4.46</h3>
===================================================
Work Shown:
3 containers = 6.69 dollars
3/3 containers = 6.69/3 dollars .... divide both sides by 3
1 container = 2.23 dollars
2*(1 container) = 2*(2.23 dollars) ... multiply both sides by 2
2 containers = 4.46 dollars
A shortcut is to start with "3 containers = 6.69 dollars" and multiply both sides by 2/3
Each mention of "container" refers to a half-gallon container.
Answer:
Step-by-step explanation:
Simplifying
6 = 1 + -2n + 5
Reorder the terms:
6 = 1 + 5 + -2n
Combine like terms: 1 + 5 = 6
6 = 6 + -2n
Add '-6' to each side of the equation.
6 + -6 = 6 + -6 + -2n
Combine like terms: 6 + -6 = 0
0 = 6 + -6 + -2n
Combine like terms: 6 + -6 = 0
0 = 0 + -2n
0 = -2n
Solving
0 = -2n
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '2n' to each side of the equation.
0 + 2n = -2n + 2n
Remove the zero:
2n = -2n + 2n
Combine like terms: -2n + 2n = 0
2n = 0
Divide each side by '2'.
n = 0
Simplifying
n = 0
Answer:
The value of the Rational expression when 
is: 
Step-by-step explanation:
For this exercise is important to remember:
- When a negative number is raised to an even power, the result will be positive.
- The multiplication of signs:
Then, given the following Rational expression:
You need to follow these steps in order to find its value when :
1. Substitute the given value of "x" (
) into the expression:
2. Evaluate and simplify:
