Answer:
3gallons (gal) = 11.35 liters
Step-by-step explanation:
This can be solved as a rule of three problem.
In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.
When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.
When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.
Unit conversion problems, like this one, is an example of a direct relationship between measures.
Each gallon has 3.78L. So
1 gallon - 3.78L
3 gallons - xL
liters
3gallons (gal) = 11.35 liters
Answer:
We can think in this situation as:
There is 10% (or a probability equal to 0.1) where the citrus grower's profit will be reduced by $15,000
There is 10% (or a probability equal to 0.1) where the citrus grower's profit will be reduced by $25,000
And in the remaining 80% (or a probability equal to 0.8), the profit does not change.
Then the expected value for the total profit can be written as:
EV = $100,000 + ( 0.1*(-$15,000) + 0.1*(-$25,000) + 0.8*$0)
= $96,000
In the case where the citrus grower spends $5000 to protect the fruits against possible bad weather, there is a 100% that is profit will not change, but he must pay $5,000
Then his profit will be:
P = $100,000 - $5,000 = $95,000
So in this case, the profit is $1000 less than the expected profit in the prior case. So the scenario where he does not buy the protection has a larger expected profit, which may mean that is better to not buy it (in a straight mathematical point of view)
One also could think that the values are really close together, so buying the protection does not mean a big change, and increases the security
Answer:
B.
Step-by-step explanation:
9 (x + 1) = 9*x + 9*1 = 9x + 9
So firstly, we have to determine what 6% of $12.50 is. You can do this by multiplying 12.50 and 6% (or 0.06 in decimal form) to get 0.75, or 75 cents. 75 cents is your 6% sales tax.
Next, add up 12.50 and 0.75 to get $13.25. $13.25 is the total cost of the item.
Answer:
13.25
Step-by-step explanation:
brainliest pls
The value of the unknown number is 11
Inequality is a concept in mathematics that shows the comparison between two non-equal numbers.
From the given information
∴
3x - 10 = 23
Collect like terms
3x = 23 + 10
3x = 33
Divide both sides by 3
x = 11
Learn more about inequality here:
Answer:
x = 11
Step-by-step explanation:
23 = 3x-10
1. Add 10 to both sides of the equation. -10 plus 10 is equal to zero so it cancels out to nothing, and 23 plus 10 is 33.
2. The new equation is now 33 = 3x.
3. Now you want to divide both sides by 3 to make x by itself since that is what you are trying to solve for.
4. 33/3 is equal to 11 so x = 11.
The student correctly solved the equations given for x. Note that an equation with an unknown variable squared might have two solutions. The way to solve for x alters according to what the equation requires, whether it is adding, subtracting, or dividing.
It seems like the student is trying to solve equations for x. The equations given were all solved correctly. Keep in mind that when an equation contains an unknown variable squared, there could be two solutions, and one or both could be reasonable depending on the problem. For example, consider the equation x² +0.0211x -0.0211 = 0. This could be rearranged to solve for x. Other variables are known unless additional calculations needed if they are not.
Remember that the principle of altering the equation to solve for x is employed, whether we add, subtract or divide by certain values. Like mentioned in the information provided, when dividing by powers of 10, you would move the decimal to the left, corresponding to the number of zeros in the power of ten.
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