Alan has partially completed the chart showing the distance between his town, Greenville and two other towns.
DISTANCE BETWEEN GREENVILLE and NEARBY TOWNS (miles)
Parker = 29
Hadley = ?
1)The distance between Hadley and Greenville is 13 miles less than the distance between Parker and Greenville. Write two equations that compare the distance between Hadley and Greenville and the distance between Parker and Greenville. Tell what your variable represents.
2)Alan says the distance from Hadley to
Greenville is 16 miles. Is he correct? Explain.
THANK YOU!!!!!!!
h = p-13
p = 29
so, h = 29-13 = 16
Alan is correct.
Alan is correct because 29-13=16
1)The distance between Hadley and Greenville is 13 miles less than the distance between Parker and Greenville. Write two equations that compare the distance between Hadley and Greenville and the distance between Parker and Greenville. Tell what your variable represents.
h = p - 13
p = 29
2)Alan says the distance from Hadley to
Greenville is 16 miles. Is he correct? Explain.
Yes, Alan is correct because h = 29 - 13 = 16.
alan is corrrect
1) Let's represent the distance between Hadley and Greenville as "H" and the distance between Parker and Greenville as "P".
From the given information, we know that H is 13 miles less than P. Therefore, one equation can be written as:
H = P - 13
Also, we know that P is 29 miles. Therefore, another equation can be written as:
P = 29
2) Alan's statement that the distance from Hadley to Greenville is 16 miles is not correct.
Using the equation we derived in question 1:
H = P - 13
Substituting the value of P as 29:
H = 29 - 13
H = 16
So the distance from Hadley to Greenville is actually 16 miles, not 29 miles as Alan mentioned.
1) Let's assume that the distance between Hadley and Greenville is represented by the variable H, and the distance between Parker and Greenville is represented by the variable P.
The first equation can be written as:
H = P - 13
This equation states that the distance between Hadley and Greenville is 13 miles less than the distance between Parker and Greenville.
The second equation can be written as:
Parker = 29
This equation simply states that the distance between Parker and Greenville is 29 miles.
2) To determine if Alan is correct, we can substitute the value of Parker (which is 29) into the first equation and check if it satisfies the equation.
H = 29 - 13
H = 16
So according to the first equation, the distance between Hadley and Greenville is 16 miles. Therefore, Alan is correct in saying that the distance from Hadley to Greenville is 16 miles.