Answer:
you need common denominater so 10/10 - 9/10 =1/10 thats how much of her money she used.
Step-by-step explanation:
Answer:
i wanna say yes it is a natural number, i hope this helps
Answer:
a). Distance from the surface of miner elevator=532 feet, Distance from the surface of equipment elevator=60 feet
b). The miner elevator is deeper since it is 472 feet deeper than the equipment elevator
Step-by-step explanation:
Equipment elevator speed=4 feet per second
Miner elevator=14 feet per second
Total time of miner elevator=(23+15)=38 seconds
Total time of equipment elevator=15 seconds
a). Distance from the surface of each elevator
Distance from the surface of miner elevator=Miner Speed×Miner Time
Distance=(14×38)=532 feet
Distance from the surface of equipment elevator=Equipment Speed×Equipment Time
Distance=(15×4)=60 feet
b). Which elevator is deeper
Distance from the surface of miner elevator=532 feet
Distance from the surface of equipment elevator= 60 feet
Difference=(532-60)=472 feet
The miner elevator is deeper since it is 472 feet deeper than the equipment elevator
Twice the difference between 5 times a number and 6 equals 18:
2(5x-6)=18
We need to solve for x:
5x - 6 = 2(difference) = 18
The difference must equal 9.
In order for the difference to equal 9, x must equal 3.
5(3) - 6 = 2(difference) = 18
Let's solve:
15 - 6 = 2(9) = 18
Therefore, in this equation, x = 3.
Answer:
x = 1
y = 5
z = 2
Step-by-step explanation:
System of equations:
6x - 2y + z = -2
2x + 3y - 3z = 11
x + 6y = 31
Isolate one variable in any of the equations:
x + 6y = 31
x = 31 - 6y
Plug in this value for x in another equation:
6(31 - 6y) - 2y + z = -2
186 - 36y - 2y + z = -2
186 - 38y + z = -2
-38y + z = -188
z = -188 + 38y
Plug in these values in the remaining equation:
2(31 - 6y) + 3y - 3(-188 + 38y) = 11
62 - 12y + 3y + 564 - 114y = 11
626 - 12y + 3y - 114y = 11
626 - 9y - 114y = 11
626 - 123y = 11
-123y = -615
y = 5
Plug in value of y into our other answers to solve for x and z:
x = 31 - 6(5)
x = 31 - 30
x = 1
z = -188 + 38(5)
z = -188 + 190
z = 2
Check your work:
6x - 2y + z = -2
6(1) - 2(5) + 2 = -2
6 - 10 + 2 = -2
-4 + 2 = -2
-2 = -2
Correct!
*Note there are several ways to solve for these types of problems. I used substitution*
