60*7=420
70+60+65+40+78+62=375
420-375=45
You can only be online for 45 minutes on the seventh day to reach your goal
The volume of the rectangular prism is 1152 cubic feet (
), If the rectangular prism have height of 8 feet and width of 8 feet and a length of 18th feet.
Step-by-step explanation:
The given is,
Let, h - Height of the rectangular prism
w - Width of the rectangular prism
l -Length of the rectangular prism
Step:1
From the given,
h = 8 feet
w = 8 feet
l = 18 feet
Step:2
Formula for volume of Rectangular prism is,
Substitute the values of w, h and l,
V = ( 8 × 8 × 18 )
= 1152
V = 1152 cubic feet
Result:
Thus the volume of the rectangular prism is 1152 cubic feet (), for the given rectangular prism have height of 8 feet and width of 8 feet and a length of 18th feet.
The example for an inconsistent system of equations:
x + 2 y = 10 and x + 2 y = 20. If we try to solve it algebraically:
x = 10 - 2 y; 10 - 2 y + 2 y = 20; 10 = 20 ( not true ). We will with something that is not true. Graph of those equations shows 2 parallel lines. Therefore the system is inconsistent.
The system is dependent when we have equivalent equations. For example:
2 x + y = 5 and 4 x + 2 y = 10. If we try to solve this system, we will end up with: 0 = 0 ( true ). The graph of this system shows the same line. This system is dependent.
Finally, if we have just one solution for the system of equations then the system is independent. For example: x + y = 5 and - x + 2 y = 10. When we add those equations: 3 y = 15; y = 15 : 3; y = 5; x + 5 = 5; x = 0. So we have just one solution ( x , y ) = ( 0, 5 ). The system of equations is independent.
Answer:
b = 48
Step-by-step explanation:
a = 20
b = ?
c = 52
a^2 + b^2 = c^2
20^2 + b^2 = 52^2
400 + b^2 = 2704
b^2 = 2704 - 400
b^2 = 2304
sqrt(b^2) = sqrt(2304)
b = sqrt(2304)
b = 48
Answer:
x=9
y=2
z=1
Step-by-step explanation:
xx+yy=zyz
xx can be divided by 11
yy can be divided by 11
zyz can be divided by 11
3 digit multiples of 11
110
121
132...
121=zyz because z=1 and y=2
121-22=99
xx=99
x=9
z=1
y=2
