Here's an example: If you have -9 and it asks for the absolute value of it, it means the opposite. The absolute value of -9 is positive 9.
Answer:
2x + 3(8 - 3x) = 3
x = 3
y = -1
Step-by-step explanation:
2x + 3y = 3
y = 8 – 3x
2x + 3(8 - 3x) = 3
2x + 24 - 9x = 3
7x = 21
x = 3
y = 8 - 3(3)
y = -1
Answer:
the one solution is -20
Step-by-step explanation:
-15x - 27 + 7 = -25 - 15x +5
-27 + 7 = -25 +5
-20 = -20
Answer: 17 cm
Step-by-step explanation:
For a regular figure where the area of the base is B, and the height is H, the volume is calculated as:
V = B*H
Here we know that the base of the prism is B = 3 cm^2, and the volume of the prism is 51 cm^3
Then:
B = 3cm^2
V = 51cm^3
If we replace those in the equation above, we get:
51 cm^3 = (3cm^2)*H
Solving this for H gives:
(51 cm^3)/(3 cm^2) = H = 17 cm
The height of the tubing is 17 cm
Answer:
x = 112
Step-by-step explanation:
We can create two equations 1. one that calculates calories burned and 2.another that calculates minutes:
20*x + 5*y = 1200
x + y = 120
Then we can solve for x
x = 120 - y
then we can plug that into the top equation:
20(120 - y) + 5y = 1200
divide by 5:
4(120 - y) + y = 240
distribute:
480 - 4y + y = 240
and then do all that combining like factors what not and simplify and solve:
480 - 3y = 240
-3y = -240
y = 8
NOW WE CAN JUST PLUG IN THE ANSWER FOR Y TO FIND X
8+x =120
x = 112