Answer: Find answer in the attached files
Step-by-step explanation:
1.) 4 - t = 3(t - 1) - 5
4 - t = 3t - 3 - 5
4 - t = 3t - 8
3t + t = 4 + 8
4t = 12
t = 12/4 = 3
2.) 8x - 2(x + 1) = 2(3x - 1)
8x - 2x - 2 = 6x - 2
6x - 2 = 6x - 2
0 = 0
solution is identity.
3.) 3(c - 2) = 2(c - 6)
3c - 6 = 2c - 12
3c - 2c = -12 + 6
c = -6
4.) 0.5(m + 4) = 3(m - 1)
0.5m + 2 = 3m - 3
3m - 0.5m = 2 + 3
2.5m = 5
m = 5/2.5 = 2
m = 2
Answer:
Firstly, rewrite the equation:
⅓ (18 + 27) = 81
Substitute x for the given number of it's supposed equivalent.
In this case x = 12.
⅓ (18(12) + 27) = 81
Solve using PEMDAS and simplify what is in the parenthesis first. Then, multiply.
(18 x 12) + 27 = 243
Now, solving using PEMDAS, multiply the total of what you got that was originally in the parenthesis by ⅓ .
⅓ (243) = 81
When you multiple these number they are equivalent to 81.
81 = 81
Since the equation given, when substituted x for 12, is equivalent to 81, this proves that substituting x for 12 makes this equation true.
Answer:
The y-intercept is y = 2
Step-by-step explanation:
A linear function has the following format:
In which m is the slope and b is the y-intercept, which is the value of y when x = 0.
We are given these three points:
(-28, -54)
(-21, -40)
(-14, -26)
We use two of them to build a system, to find values for m and b.
(-28, -54)
This means that when 
So
(-21, -40)
This means that when 
So
The y-intercept is y = 2
Answer:
452 cubic inches
Step-by-step explanation:
In terms of diameter, the volume of the cylinder is ...
V = (π/4)d^2h
Filling in the given numbers, we get ...
V =(3.14/4)(8 in)^2(9 in) = 452.16 in^3
The cylinder volume is about 452 cubic inches.
