<h3>Answer: See the diagram below</h3>
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Explanation:
Start at "2" on the number line. If you move to the right 6 steps, each time landing on a tickmark, then you'll arrive at "3" on the number line. This means the interval from 2 to 3 is cut into 6 equal pieces.
In other words, the little tickmarks represent 1/6 of a unit
If we go back to "2" on the number line, and move to the first tickmark, then we arrive at 2 & 1/6. Then the next tickmark would be 2 & 2/6, and so on.
Note how 2/6 = 1/3
So the mixed number 2 & 2/6 = 2 & 1/3
The location of 2 & 1/3 is marked in red in the diagram below.
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The mixed number 1 & 5/6 will be plotted a similar way.
Start at "1" on the number line. Count out 5 spaces until you arrive at 1 & 5/6. This is marked in blue in the same diagram. A shorter way is to start at "2" and count backward 1 tickmark. This works because the "2" is really 1 & 6/6. Going backward one tickmark has that "6/6" bump down to "5/6".
Answer: $ 16,000 profit
Step-by-step explanation:
Given the following :
Profit when economy is strong = 50,000
Profit when economy is moderate = 10,000
Loss when economy goes into recession = 50000
Resulting probabilities of the three probable occurrences are:
Probability of strong economy; p(strong) = 30/100 = 0.3
Probability of moderate; P(moderate) = 60/100 = 0.6
Probability of recession; P(recession) = 10/100 = 0.1
Expected profit :
Summation of the product of each probability and its accompanying profit or loss.
P(strong) × profit of strong = 0.3 × 50000 = 15000
P(moderate) × profit of moderate = 0.6 × 10000 = 6000
P(recession) × loss on recession = 0.1 × 50000 = 5000 = - 5000 ( loss)
Expected profit :
$(15,000 + 6000 - 5000) = $16,000 profit
Okay so if the regular price of the shirt is 100% as $25 and you have a 30% discount you are still paying 70% (100-30=70) so 70% as a decimal is .70 and $25 x .70 is $17.50. Therefore the shirt is $17.50 after the discount.
Hi there!
The correct answer is 6.25 times.
This is how you get there:
1) First off, you are going to need to have the same unit (either cm or mm). I used millimeters for this problem. 25cm=250mm
2) This next part is very easy to get wrong. You need to figure out what you are dividing, and by what. Simply look at the problem. <span><em>"How much longer is the guinea pig than her fish?" </em>This shows what numbers you should be getting. The guinea pig is 250mm long, where the fish is only 40. This means that her guinea pig should be larger. 250÷40=6.25
If you did this problem the other way, you would've ended up with .16. If you put the sizes into perspective, you will notice that this is highly unlikely.
I hope that I have been able to simplify this problem for you!
Brady
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