Subtract 24 from both sides.
z + 24 = 10
- 24 -24
z = -14
Answer:
The numbers 12, 13, 14, and 15.
Step-by-step explanation:
First, set up the equation as follows: x + (x + 1) + (x + 2) + (x + 3) = ??
Plug in the number you're searching for on the right-hand side of the equation: x + (x + 1) + (x + 2) + (x + 3) = 54.
Now, add like numbers and variables together, to get a sum of 4x + 6 = 54.
The next step to finding 'x' is to subtract the 6 on both sides, leaving you with 4x = 48.
Divide that out, and you get x = 12. Plug that number in the equation above, and you should get 12 + (13) + (14) + (15) = 54.
Answer:
45
Step-by-step explanation:
The points on the graph :
(4, 180) ; (7, 135)
x1 = 4 ; y1 = 180
x2 = 7 ; y2 = 315
The number of soda bottles the machine can make in a minute is the gradient or slope :
Gradient = change in y / change in x
Gradient = (y2 - y1) / (x2 - x1)
Gradient = (315 - 180) / (7 - 4)
Gradient = 135 / 3
Gradient = 45
Hence, the machine can make 45 soda bottles in a minute.
Answer:
2 and 4
Step-by-step explanation:
Answer:
Step-by-step explanation:
given that a bacteria culture initially contains cells and grows at a rate proportional to its size.
If P be the size then growth rate
where k is constant of proportionality
separate the variables as
If after 1 hour population is B (say)
then k = ln B - ln A
Using this
P(t) = 
b) P(e) = 
c) Rate of growth = 
Unless you give B value, d cannot be solved
