9514 1404 393
Answer:
Step-by-step explanation:
Generally, the single variable on the left side of the equation is the "output" or dependent variable, while any other variables on the right side of the equation are considered to be independent variables, or "input."
So, we assume your first question is asking for the value of t that makes w=176. Put the values in the equation and solve for the unknown.
w = 112 +8t
176 = 112 + 8t
64 = 8t . . . . . . . subtract 112
8 = t . . . . . . . . . divide by 8
The input for an output of 176 is 8.
__
Ordered pairs are always written as ...
(input, output)
So, (4, 144) means the output is 144 for an input of 4.
Answer:
x = -1
Step-by-step explanation:
AB + BC = AC = 28
the way from A to C goes through B.
so, the total way of A to C is the sum of the way from A to B and then from B to C.
=>
(5x + 10) + (2x + 25) = 28
7x + 35 = 28
7x = -7
x = -1
Answer:
y = - 8
Step-by-step explanation:
y - 16 - 3y = 0
Group like terms
y - 3y - 16 = 0
Add similar elements: y - 3y = - 2y
- 2y - 16 = 0
Add 16 to both sides
- 2y - 16 + 16 = 0 + 16
Simplify
- 2y = 16
Divide both sides by - 2
= 
Simplify
: y

Apply the fraction rule: 
= 
Divide the numbers: 
= y
Simplify
: - 8

Apply the fraction rule: 

Divide the numbers:
= 8
= - 8
y = - 8
To simplest form of a fraction you find the lowest common factor, usually I use this trick: if both numbers are even I keep dividing by 2 to the numerator and denominator till I can't anymore
In this case:
6 divided by 2= 3
--- ---
8 divided by 2= 4
now I can't simplify an further because 3 isn't an even number, therefore its the simplest form
remember= my trick only works if both number are even, if not you'll have to find the lowest common factor and divide them by that
Answer:B
Step-by-step explanation: