Answer:
1 cm
You are going to make one of these bags from a roll of cloth 1 meter wide. What
is the shortest length that you need to cut from the roll for the bag?
Step-by-step explanation:
y = mx + b
where m is the slope and b is the y-intercept.
Here, the slope is -3/2 and the y-intercept is 5.
y = -3/2x + 5
Answer: A. The first one
Step-by-step explanation:
Answer:
There is no solution to the problem
Step-by-step explanation:
In order to find the solutions to the problem you can write the situation in an algebraic form.
You have that a number is equal to twice a smaller number plus 3. This can be written as follow:
(1)
where x is the number and y is the smaller number
Furthermore, the same number x is equal to twice the sum of the smaller number and 1, which can be written as follow:
(2)
To find the solution you equal the equation (1) with (2), and you solve for y:


You obtain an inconsistency, hence, the situation of the problem does not have solution
The growth factor for the mass of bacteria is 2.8 in 1 week.
Step-by-step explanation:
Step 1:
It is given that the bacteria in the culture increase by 260% per week. Now we assign values to get a better understanding. If there were 1,000 bacteria in the culture at the start of the week there would be 1,000 + 260% at the week's end = 1,000 + 2,600 = 3,600 at the week's end.
Step 2:
To calculate the growth factor, we calculate the difference between the present value and the past value and divide it by the past value.
Here the past value is 1,000 and the present value is 2,600.
Growth factor = 
So the growth factor is 2.6 per week.