Multiply the number amount of cartridges by the number of books and add that tot he number of cartridges by the number of magazines.:
This needs to be either less than or equal tot he total cartridges she wants to use
40B + 30M ≤ 300
Do the same with pages:
200B + 80M ≤ 1200
Answer:
1.5 km
Step-by-step explanation:
15 cm * 10 000 = 150 000 cm = 1.5 km
Answer: the value of population standard deviation is 3.87
Step-by-step explanation:
From the information given,
Number of sample, n = 8
For a confidence level of 95%, the corresponding z value is 1.96. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean ± z ×standard deviation/√n
Since confidence interval = 2.694,
It becomes
2.694 = 1.96 × standard deviation/√8
Dividing both sides of the equation by 1.96, it becomes
1.37 = standard deviation/√8
Standard deviation = 1.37 × √8
Standard deviation = 3.87
To find the common ratio, start at the end and divide terms:
(8/9) / (4/3) = (2/3)
(4/3) / 2 = (2/3)
2 / 3 = (2/3)
The ratio is 2/3
answer:
x=1/3
x=11/3
STEP 1:
Rearrange this Absolute Value Equation
Absolute value equalitiy entered
-3|x-2|+9 = 4
Another term is moved / added to the right hand side.
To make the absolute value term positive, both sides are multiplied by (-1).
3|x-2| = 5
STEP 2:
Clear the Absolute Value Bars
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is 3|x-2|
For the Negative case we'll use -3(x-2)
For the Positive case we'll use 3(x-2)
STEP 3:
Solve the Negative Case
-3(x-2) = 5
Multiply
-3x+6 = 5
Rearrange and Add up
-3x = -1
Divide both sides by 3
-x = -(1/3)
Multiply both sides by(-1)
x = (1/3)
Which is the solution for the Negative Case
STEP 4:
Solve the Positive Case
3(x-2) = 5
Multiply
3x-6 = 5
Rearrange and Add up
3x = 11
Divide both sides by 3
x = (11/3)
Which is the solution for the Positive Case
giving us x=1/3 or x=11/3
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