Answer:
14.13 cubic feet of lake water can fill the given balloon.
Step-by-step explanation:
concept used:
volume of sphere = 4/3
where r is the radius of sphere
we take = 3.14
_____________________________________
shape of balloon can be taken as spherical.
Amount water filled in the balloon will be equal to capacity of balloon which is equal to volume of spherical balloon.
Given radius of balloon = 1.5 feet
Thus, volume of balloon = 4/3 1.5^3 = 4/3*3.14*1.5^3
volume of balloon = 42.39/3 = 14.13 cubic feet
Thus, 14.13 cubic feet of lake water can fill the given balloon.
Answer:
y = 3x/2 + 23 1/2
Or
y = 3x/2 + 47/2
Step-by-step explanation:
Find the slope
y = 3/2x - 3/2
Equation of a line
y = mx + c
m = 3/2
using a point slope form equation
Substitute the point into the equation
( -9 , 10)
y - y1 = m( x - x1)
x1 = -9
y1 = 10
y - 10 = 3/2( x - (-9)
y - 10 = 3/2( x + 9)
Open the bracket
y - 10 = (3x + 27)/2
y = ( 3x + 27)/2 + 10
LCM = 2
y = ( 3x + 27 + 20)/2
y = ( 3x + 47)/2
Separate to get the value of slope and intercept
y = 3x/2 + 47/2
y = 3x/2 + 23 1/2
The equation of the line is
y = 3x/2 + 23 1/2
Answer:
65.2
Step-by-step explanation:
the two is the tenth and your not adding any thing because the 4 is less than five
Answer:
y=−4 and x=5
Step-by-step explanation:
y=−4;y=(
(−2)
5
)(x)−2
Step: Solvey=−4for y:
Step: Substitute−4foryiny=
−2
5
x−2:
y=
−2
5
x−2
−4=
−2
5
x−2
−4+
2
5
x=
−2
5
x−2+
2
5
x(Add 2/5x to both sides)
2
5
x−4=−2
2
5
x−4+4=−2+4(Add 4 to both sides)
2
5
x=2
2
5
x
2
5
=
2
2
5
(Divide both sides by 2/5)
x=5
Answer:
y=−4 and x=5
You know the total length ST and SU, so to find x you would write an equation. This would be: x+4+2x=16 Combine like terms: 3x+4=16 Subtract four from both sides: 3x=12 Divide both sides by three: x=4