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:
45
Step-by step
What do we already know about the equation?
We know that they EACH bought a hockey puck($17) and 2 shirts
Half of 214 is 107. So they had to have spent 107 separately
So we make the equation and let s represent shirts
2s + 17 = 107
- 17 -17
2s= 90. DIVIDE by 2
s = 45
Answer:
$3
Step-by-step explanation:
23-17=6
6/2=3
To check:
6+17=23
Answer: 
Step-by-step explanation:
This is a multiplication problem. You are multiplying 
by 4. This also means 4 divided by 3. They are both the same.
