Answer:
a) 48 routes
b) 6 routes.
Step-by-step explanation:
a. How many routes from North Point to Star Lake pass through Beaver Dam?
North Point -> Boulder Creek(3)
Boulder Creek -> Beaver Dam(4)
Beaver Dam -> Star Lake(4)
Multiplying:
3*4*4 = 48 routes.
b. How many routes from North Point to Star Lake bypass Beaver Dam?
North Point -> Boulder Creek(3)
Boulder Creek -> Star Lake(2)
3*2 = 6 routes.
Answer:
100 ml of 5% solution
200 ml of 20% solution
Step-by-step explanation:
x = amount of 5% solution
y = amount of 20% solution
System of equations:
x + y = 300
.05x + .20y = 300(.15)
Solve by substitution: let y = 300 - x
.05x + .2(300-x) = 300(.15)
.05x + 60 - .20x = 45
-.15x = -15
x = 100, therefore y = 200
Answer:
the true statement is that it's on the x-axis. you can tell because the point has a 0 for the y-value. meaning the point has to be sitting on the x-axis.
Step-by-step explanation:
-194
F(10)= -(10)^2-9(10)-4=-194
Remark
A kite is constructed such that AB = BC and AD = DC. AB = sqrt( (1/2)AC + 18^2) see diagram. AD = sqrt(24^2 + 32^2)
Step One
Solve for AB
1/2 AC = 24 (AC is given as 48)
18 is a given length
AB = sqrt(24^2 + 18^2) = sqrt(576 + 324) = sqrt(900) = 30
Step Two
Find the length of AD
AD = sqrt(32^2 + 24^2) = sqrt(1024 + 576) = sqrt(1600) = 40
Step Three
Find the Perimeter.
P = 2 * 30 + 2*40 = 60 + 80 = 140
P = 140 <<<<< Answer
