Answer:
p = - 5, p = - 1
Step-by-step explanation:
Given
-
=
Multiply through by the LCM of (p - 5)(p + 3)
3p(p + 3) - 2(p - 5) = p(p - 5) ← distribute parenthesis
3p² + 9p - 2p + 10 = p² - 5p
3p² + 7p + 10 = p² - 5p ( subtract p² - 5p from both sides )
2p² + 12p + 10 = 0 ← divide through by 2
p² + 6p + 5 = 0 ← in standard form
(p + 1)(p + 5) = 0 ← in factored form
Equate each factor to zero and solve for p
p + 1 = 0 ⇒ p = - 1
p + 5 = 0 ⇒ p = - 5
Bob cannot distribute the cups in six equal stacks and not have any left over.
Step-by-step explanation:
In order to divide the total number of cups in six equal stacks with no left over, the total number of cups will be divided by 6, if there is any remainder then the cups cannot be equally divided with no left over.
So
Dividing 64 by 6
Here
Quotient = 10
Remainder = 4
As there are 4 cups left, Bob cannot distribute the cups in six equal stacks and not have any left over.
Keywords: Division, fractions
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