Answer:
5
Step-by-step explanation:
3(x+3)=4(4+2)
3x+9=24
3x=15
x=5
Have a good day!
21000 people paid for general admission and 6000 paid for reserved seats. This is solved by making 2 equations. Out of 27000 people who were at game, x of them paid for general admission and y for reserved seats, thus
x + y = 27000
As said, daily receipts were 204000$. As reserved seat is 13$, y of them gave 13$ each (y*13$) and x of them gave 6 for general admission(x*6) and those two add up and we get second equation
13y + 6x = 204000.
This can be solved by transforming first equation into x = 27000 - y and then replacing the x in second.
13y + 6*(27000 - y) = 204000
13y + 162000 - 6y = 204000
7y = 42000
y = 6000
x + 6000 = 27000
x = 27000 - 6000 = 21000
Answer:
About 11494.04
Step-by-step explanation:
There is no sphere shown above but I can still get you the answer:
The formula for the volume of a sphere is
π*r³
Putting in the radius, we get:
*π*14³=
*π*2744=
*π=
3658.66*π≈11494.04
Answer:
See explanation
Step-by-step explanation:
Let x be the number of spade shovels, y -the number of flat shovels and z - the number of square showels sold that day.
The store keeps an inventory of 80 shovels, then
x+y+z=80
The store always buy twice as many spade shovels as square, so
x=2z
The total cost of all shovels is
16x+9.60y+12.80z=1,072
a) The system of three equations is

b) In matrix form this is

c) The determinant is

d) Find three determinants:



So,

e) If the store doubled all prices and inventory, then the new matrix is
