Answer:
32/9
Step-by-step explanation:
Translating the word problem into a symbolic equation yields:
3n - 3 = 5/6
Solve this for the number (n):
Multiplying both sides of this equation by 6 clears out the fraction term:
18n - 18 = 5
Adding 18 to both sides isolates 18n: 18n = 23
Then the number is n = 23/18, and:
one more than twice this number n is 2(23/18) + 1, or:
46/18 + 18/18, or 64/18, or (reducing this result)
32/9
Answer: A. To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 5. The solution to system B will be the same as the solution to system A.
System A :
-x - 2y = 7 ..........(1)
5x - 6y = -3 ..........(2)
If we multiply the first equation by 5, then we will get :
5(- x - 2y) = 5(7)
⇒ - 5x - 10y = 35 ........... (3)
Now the Sum of equation (2) and equation (3) is:
⇒ Sum :
Now if we replace the second equation in system A with this , then we will get the system B.
Solution of system B:
First we will take the second equation as there is only one variable 'y'. So, we will solve that equation for 'y'
Now for solving 'x', we will plug y= -2 into the first equation
So, the solution of system B is (-3, -2), that means the solution of both systems are same.
Step-by-step explanation:
Answer:
The volume of the solid is 180 cubic feet.
6 + 4 ÷ 2
The "order of operations" (which you learned a long time ago
if you're in high school now) says that division should be done
before addition.
So do the division: 4 ÷ 2 = 2
Now you have 6 + 2
Now do the addition: 6 + 2 = 8 .
The numbers that go into 120 are 10,12 and 6,20 and 3,40,. That's all I can think of at the moment.