Answer:
10 miles.
Step-by-step explanation:
Let x be the number of miles on Henry's longest race.
We have been given that Henry ran five races, each of which was a different positive integer number of miles.
We can set an equation for the average of races as:
As distance covered in each race is a different positive integer, so let his first four races be 1, 2, 3, 4.
Now let us substitute the distances of 5 races as:
Let us multiply both sides of our equation by 5.
Let us subtract 10 from both sides of our equation.
Therefore, the maximum possible distance of Henry's longest race is 10 miles.
<u>Methods to solve rational equation:</u>
Rational equation:
A rational equation is an equation containing at least one rational expression.
Method 1:
The method for solving rational equations is to rewrite the rational expressions in terms of a common denominator. Then, since we know the numerators are equal, we can solve for the variable.
For example,
This can be used for rational equations with polynomials too.
For example,
When the terms in a rational equation have unlike denominators, solving the equation will be as follows
Method 2:
Another way of solving the above equation is by finding least common denominator (LCD)
Factors of 4: 
Factors of 8: 
The LCD of 4 and 8 is 8. So, we have to make the right hand side denominator as 8. This is done by the following step,
we get,
On cancelling 8 on both sides we get,
Hence, these are the ways to solve a rational equation.
Answer:
19.2 mph
Step-by-step explanation:
just trust me
96: 1,2,3,4,6,8,12,16,24,32,48,96
18: 1,2,3,6,9,18
GCF: 6
But, if you're asking what 96 + 18 it's 114
Answer:
130 milliliters.
Step-by-step explanation:
a drug has a ratio of 115mg:5ml. This is equivalent to 23mg:1ml. 3g=3000mg, so we divide 3000 by 23 to get 130.434783. That is how many milliliters are needed. We round it to get 130 mL.
