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
Answer:
Step-by-step explanation:
Let the total number of votes to choose a color = x
Number of votes for blue =
Remaining votes = x -
=
=
Votes for green =
=
=
Finally remaining votes =
=
=
=
Since these votes are for red therefore,
= 48
x = 48×6
= 288
a) Votes for blue are
Therefore, exact number for blue votes =
= 5×36
= 180
b). Votes for green =
=
= 60
c). Since 25 students were absent on that day of the vote, number of students at Riverside Elementary School = 288 + 25
= 313
d). Since seven tenths of the votes for blue were made by the girls.
Therefore, number of girls voted for blue =
= 7×18
= 126
Since total votes made = 288
Therefore, half of the votes made =
= 144
Now it's clear that number of votes made by girls is less than half of all the votes.
e). 126 girls voted for blue.