Answer:
13.50 ≤ 1.20x + 3
Step-by-step explanation:
Janie is saving for a CD, which costs $13.50. Janie can earn more than that amount, but needs to save at least that much to buy the CD. So, the amount of money she has needs to be greater than or equal to $13.50.
Next, Janie has $3 to begin with. Although she already has some money to start with, that is still not enough to purchase her CD. To earn money, she will do chores ($1.20 per chore). We do not know the amount of chores she will do, so we can mark that as variable x.
If we put that all together, we will get 13.50 ≤ 1.20x + 3. If you solver this equation, you can solve how many chores she will have to do, but that is not part of the question!!
Now, for the graph. A closed dot represents if it is not only greater or less than, but it also has a possibility to be equal as well. So, this dot will be closed. As I said before, the amount of money she has all together has to be greater than or equal to $13.50. Starting from the dot, you will draw the arrow to the right, which symbolizes that all of these numbers are the solution.
I hope this helped you! Have a great rest of your day.
Answer:
x = 9
Step-by-step explanation:
Well to find x we need to use the commutative property which is the moving of numbers and variables to either side of the equation,
|2x - 19| = 4x + 1
-2x to both sides
|-19| = 2x + 1
Absolute value of -19 is 19
19 = 2x + 1
-1 to both sides
18 = 2x
Divide 2 to both sides
x = 9
<em>Thus,</em>
<em>x is 9.</em>
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<em>Hope this helps :)</em>
Answer:
456,285
Step-by-step explanation:
4,803 times 95 equals 456,285
you could just use a calculator
Answer:
The first one.
Step-by-step explanation:
Graph lines as if the inequalities were equal signs.
X = -3 is a vertical line at x = -3, because it's less than we shade to the left. All numbers less than -3 are to the left. The line is dashed because there is no equal to. Only less than. The line is not included in the solution set.
y = -x - 1 is a line with a y-intercept of -1 and a slope of -1. All values that are less that y are below the line. Because it's less than or equal to the line is solid.
Answer:
C) The expected value is -$40, so the man should not buy the warranty.
Step-by-step explanation:
The total cost to the man is expected to be the total of the amount he pays for the warranty and any amounts he gets because he has the warranty ...
-$100 +600×0.10 +0×0.90 = -$40
The expected value of the warranty is -$40. Based on that alone, the man should decide not to buy it.
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<em>Comment on warranties</em>
The expected value of a warranty to the buyer is <em>always negative</em>. That is how warranty companies make their money. Clearly, <em>expected value</em> is not the only criterion that should be considered.