Answer:
See below.
Step-by-step explanation:
Let the smaller integer be n.
Then the larger integer is n + 2.
"When the smaller integer is added to three times the larger integer, the result is two less than five times the smaller integer."
The correct equation is:
n + 3(n + 2) = 5n - 2
His mistake is not using parentheses on the left side. Since he left out the parentheses, the left side is not "the smaller integer added to three times the larger integer", but rather it is "the smaller integer added to 2 plus 3 times the smaller integer."
n + 3(n + 2) = 5n - 2
n + 3n + 6 = 5n - 2
4n + 6 = 5n - 2
8 = n
n = 8
n + 2 = 10
The integers are 8 and 10.
Answer: Round.
Step-by-step explanation:
Round 198 to 200. 200 x 5 = 1000, so the answer is about 1000.
The team ran 2 miles.
Step-by-step explanation:
Step 1; The track is 
miles long and the team ran 2
laps on it. To calculate the distance run we multiply the number of laps ran with the distance on each lap.
Distance run = Number of laps × Distance on each lap.
Step 2; We convert 2 from a mixed fraction into an improper fraction. To do this, we multiply the whole number with the denominator of the fraction and add with it the numerator of the same fraction whereas the denominator remains unchanged. To convert the fraction 2 = ((2 × 3) + 2) / 3 = 
.
Distance run = Number of laps × Distance on each lap = × = 
= 2 miles.
1/2 and 1/3 are similar because 3/6 and 2/6 are similar. They are so close but not the same.
