Answer:
{1, 2, 3}, {3, 4, 5}
Step-by-step explanation:
Write expressions for three consecutive integers: n, n + 1, n + 2.
Set up an equation for the verbal description: the product (mulitplication) of the two larger integers (the last two) is one less than 7 times the smallest (the first one).
(n + 1)(n + 2) = 7n - 1
Multiply (FOIL) the left side.
n^2 + 3n + 2 = 7n - 1
Subtract 7n and subtract 1 to make the right side 0.
n^2 - 4n + 3 = 0
Factor.
(n - 1)(n - 3) = 0
Set the two factors equal to 0
n - 1 = 0, n - 3 = 0
Solve for n.
n = 1, n = 3
One set of integers begins with 1, so it's {1, 2, 3}.
The other set begins with 3, so it's {3, 4, 5}
Answer:
Step-by-step explanation:
18 miles..................60 min
18/60= 0.30 miles/ min
10 minutes 0.30*10=3 miles
Answer:
77
Step-by-step explanation:
Firstly, we need to calculate the total score of the junior students and the total score of the senior students.
The total score of the junior students is 35 * 80 = 2,800
The total score of the senior students is 15 * 70 = 1050
The total score is thus 2,800 + 1,050 = 3,850
The average score of the 50 students is thus 3,850/50 which equals 77
Answer:
56
Step-by-step explanation:
54 + 4(3/4 − 1/2)2
=> 54 + 4(1/4)2
=> 54 + (1)2
=> 54 + 2
=> 56
Therefore, 56 is our answer.
Hoped this helped.
Answer:
Period. Segment Lengths in Circles. Solve for x . Assume that lines which appear tangent are tangent. 1). 154 2 9 (249). 425 = 9481. 90-144.
