Calculate: (Round two decimal places for final answer)

3gallons (gal) =_____liters (L)

Answers

Answer 1
Answer:

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

x = 3*3.78

x = 11.35 liters

3gallons (gal) = 11.35 liters


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Suppose that the weather forecast indicates a 10% chance that cold weather will reduce the citrus grower’s profit from $100,000 to $85,000 and a 10% chance that cold weather will reduce the profit to $75,000. Should the grower spend $5000 to protect the citrus fruit against the possible bad weather?

Answers

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

A waffle recipe uses 3 cups of mix for 4 waffles. How much mix would you need to make 12 waffles

Answers

Since we know that 3 cups make 4 waffles, and we want 12 total waffles, we know that we need to multiply the recipe by 3 in order to have enough ingredients for 12 waffles.

So we multiply 3 cups by 3 (because we need to triple the recipe) and we get:

3*3=9

So we need 9 cups of mix to make 12 waffles.

Please help please I am begging you

Answers

Answer:

B.

Step-by-step explanation:

9 (x + 1) = 9*x + 9*1 = 9x + 9

What is the total cost of a 12.50 item plus 6% sales tax?

Answers

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

10 less than three times a number is 23. Find the number

Answers

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

  • Let the unknown number be x

3x - 10 = 23

Collect like terms

3x  = 23 + 10

3x = 33

Divide both sides by 3

\mathbf{(3x)/(3)= (33)/(3)}

x = 11

Learn more about inequality here:

brainly.com/question/11613554

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.

Solve for x. round to the nearest tenth.

Answers

tan (angle = Opposite / adjacent

tan(28) = 18/x

x = 18 / tan(28)

x = 33.85

Rounded to nearest tenth X = 33.9

Final answer:

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.

Explanation:

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.

Learn more about Solving for x here:

brainly.com/question/32490578

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