Answer/Step-by-step explanation:
Given:
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To solve, collect like terms.
Subtract 5w from both sides
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(incorrect)
The inequality given has no solution or an information is missing.
r=13/2
After I solved it it was kinda easy
Answer:
You have to divide to unit price, 169/13 is equal to 13!
Step-by-step explanation:
Answer:
1.) Yes
2.) Yes
Step-by-step explanation:
Given that
n = k(k + 7)
If k is a positive integer and n = k(k + 7), is n divisible by 6 ?
(1) k is odd. Yes.
Let assume that k = 3
Then, n = 3(3 + 7)
n = 3 × 10
n = 30.
30 is divisible by 6.
(2) When k is divided by 3, the remainder is 2. That is,
Let k = 5
Then,
5/3 = 1 remainder 2
Substitute k into the equation
n = k(k + 7)
n = 5(5 + 7)
n = 5 × 12
n = 60
And 60 is divisible by 6.
Therefore, the answer to both questions is Yes.
Let the width be x. Since the length is 30inches longer than the width, the length is 30 + x.
Area = length x width = (30 + x)(x)
i.e. (30 + x)(x) = 1800 square inches.

x + 60 = 0 or x - 30 = 0
x = -60 or x = 30
but the width cannot be a negative number, hence x = 30inches
i.e. width = 30 inches
length = 30 + 30 = 60 inches.