Well we know that he sold 20 glasses every hour. if h is the number of hours he worked we know the expression would be 20h
1 hr = 20 glasses
2 hr = 40 glasses
3 hr = 60 glasses
Keep the pattern going to figure out which hour he got his 100th glass sold.
Answer:
124
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180:
m<R + m<S + m<T = 180
11x + 3 + x + 15 + 2x + 8 = 180 add like terms
14x + 26 = 180 subtract 26 from both sides
14x = 154 divide both sides by 14
x = 11 to find m<R replace x with 11
11*11 + 3 = 124
Answer:
(x, y) = (-4, -15)
Step-by-step explanation:
Perhaps you want the solution to ...
y = 3/4x -12
y = -4x -31
Equating the two expressions for y gives ...
3/4x -12 = -4x -31
3/4x = -4x -19 . . . . . add 12
3x = -16x -76 . . . . . multiply by 4
19x = -76 . . . . . . . . . add 16x
x = -76/19 = -4 . . . . divide by 19
y = (3/4)(-4) -12 = -15 . . . . use the first equation to find y
The solution to this system of equations is ...
(x, y) = (-4, -15)
Answer:
44.
Step-by-step explanation:
Let, x= white marbles
and y= yellow marbles
Now, according to the first condition
x + y = 58 … (1)
According to the second condition,
x= 3y+2
Or, 3y - x = -2 … (2)
Adding (1) and (2)
4y= 56
Or, y= 14
... (3)
Now, putting (3) in (1)
x = 44
Therefore there are 44 White marbles and 14 yellow marbles.
Answer:
Step-by-step explanation:
If the liquid is cooling at a constant rate, then the equation for this is linear. We can use the info given to find the linear equation for this situation. We have 2 points: (2, 178) and (5, 154), where the x coordinate represents the time in minutes, and y represents the temperature. We use these values in the slope formula:
Now we will use one of the points to finish writing the equation. I chose (2, 178), but it doesn't matter which one you choose; they will both give you the same equation in the end.
y - 178 = -8(x - 2) and
y - 178 = -8x + 16 so
y = -8x + 196
If we are looking for the temp when the liquid starting cooling, then we are looking for the temp at time 0, or when x = 0 (sincce x is our time).
y = -8(0) + 196 so
y = 196
That's the temp of the liquid before it started any cooling.