Answer:
Please find attached pdf
Step-by-step explanation:
Answer:
105 boats
Step-by-step explanation:
Let x be the total number of boats in the marina.
If Two-thirds of the boats in the marina are white.
Fraction of the remaining boat= 1-⅔ =⅓
4/7 of the remaining boats are blue.
4/7 of ⅓ are blue
4/7 X ⅓ = 4/21 are blue
Fraction of Red Boats =
1-(Proportion of white Boats +Proportion of Blue Boats)
= 1-(2/3+4/21)=1/7
If there are 15 red boats,
1/7 of the total boats =15
1/7 X x=15
x=15X7
x=105
There are 105 boats in total on the marina
Answer:
a = -9
Step-by-step explanation:
P(a/3 , 2) is mid-point of Q (-5 , 4) and R (-1 , 0)
a/3 = (-5 + (-1))/2 = -6/2 = -3
a = -9
Answer:
t = - 3, t = - 1
Step-by-step explanation:
Given
h(t) = t² + 4t + 3
To find the zeros equate h(t) to zero, that is
t² + 4t + 3 = 0
Consider the factors of the constant term (+ 3) which sum to give the coefficient of the t- term
The factors are + 3 and + 1, since
3 × 1 = 3 and 3 + 1 = 4, thus
t² + 4t + 3 = (t + 3)(t + 1) = 0
Equate each factor to 0 and solve for t
t + 3 = 0 ⇒ t = - 3
t + 1 = 0 ⇒ t = - 1
smaller zero is t = - 3
larger zero is t = - 1
