Answer:
no. of senior citizens=x
no.of other people=7-x
cost=30=k(7-x)+(k/2)x. k is the cost of a ticket
k(7-x+x/2)
k(7-x/2)-30=0
k=60/(14-x)
now do trial and error substitution for (x<7) until u get a whole number for k also (k<30). if you have the skills you can suggest the number yourself
ie x= 2, k=5$
.1x+.2y=-1
.5x-.9y=6.4
×-5 equation .1x+.2y=-1
-.5x-y=5
.5x-.9y=6.4
solve by elimination
-1.9y=11.4
÷-1.9 both sides
y=-6
solve for X
.1x+.2 (-6)=-1
.1x-1.2=-1
+1.2 both sides
.1x=.2
÷ 1 both sides
x=2
plug into 2nd equation to see if it's true
x=2
y=-6
0.5(2)-0.9(-6)=6.4
1+5.4=6.4
6.4=6.4 answers hold true
Place the point of the compass on the intersection of AB and CD and extend the compasses to point R.
Answer:
Radius = 6.46 meters
Height = 1.46 meters
Step-by-step explanation:
The volume of a cylinder = πr²h
In the above question, we were given
r = (x + 5) meters
h = x meters
Volume = 192 cubic meters
Hence,
192 = π × (x + 5)² × x
192 = π × (x² + 10x + 25) × x
192 = π × (x³ + 10x² + 25x)
Divide both sides by π
192/π = x³ + 10x² + 25x
61.115498147 = x³ + 10x² + 25x
x³ + 10x² + 25x - 61.12
This Quadratic equation is a polynomial
x = 1.46119
From the above:
Radius = (x + 5)meters
Radius = 1.46119 + 5 = 6.46119 meters
Approximately to 2 decimal places = 6.46 meters
Height = x meters
Height = 1.46119 meters
Approximately to 2 decimal places = 1.46 meters
Answer:
Step-by-step explanation:
4/5-(-3/10)=4/5+3/10=8/10+3/10=11/10
5.5-8.1=-2.6
-5-5/3=-15/3-5/3=-20/3
-8 3/8-10 1/6=-67/8-61/6=-445/24
-4.62-3.51=-8.13
