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:
y=3
x=2
Step-by-step explanation:
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233 1/3
you start with .3x = 70, as this is the sentence given, solving for x.
divide both sides by .3, and you get x
Answer:
9:1
Step-by-step explanation:
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 72 and 8 is 8
Divide both terms by the GCF, 8:
72 ÷ 8 = 9
8 ÷ 8 = 1
The ratio 72 : 8 can be reduced to lowest terms by dividing both terms by the GCF = 8 :
72 : 8 = 9 : 1
Therefore:
72 : 8 = 9 : 1
