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Illusion [34]
3 years ago
6

Which of the following expressions could give the total amount of a $45 restaurant bill with a 15% tip added on? (0.15)($45) (0.

15)($45) 1 + (0.15)($45) $45 + 0.15
Mathematics
1 answer:
Akimi4 [234]3 years ago
6 0
The correct answer is 45+45(0.15). This is because you need to first count the price, and then add on the tip which is a certain percentage of that price. Hope this helped!
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Here, we are required to identify the dependent and independent variables, the dependency relationship in the situation.

  1. The independent and dependent variables are the weight of the dog and the amount of food it should respectively.
  2. The dependency relationship is thus; The amount of food a dog should eat is a function of the weight of the dog
  3. The dependency relationship using the function notation is; f(x) = {function of x}.

  • The independent variable in this situation is the weight of the dog while the amount of food the dog should eat is the dependent variable. The above is evident from the statement; <em>T</em><em>he amount of food a dog should eat depends on the weight of the </em><em>dog</em><em>.</em>

  • <em>According</em><em> </em><em>to </em><em>the </em><em>premise</em><em> </em><em>given </em><em>in </em><em>the </em>question, it is evident that the dependency relationship is;. The amount of food a dog should eat is a function of the weight of the dog

  • The dependency relationship can be written mathematically using the function notation as;. f(x) = {function of x}.

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Answer:

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Find the exact volume of the cylinder.
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Step-by-step explanation:

The volume of a cylinder can be found with the equation

<em><u>\pi{r}^{2}h</u></em>

So, plug in the values. The diameter of the circle is 10m, which means that the radius is 5m. The height of the cylinder is 13m.

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<u>V = 325π m^3</u>

Answer:

D. 325π m^3

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If we're only counting 5 vowels (A, E, I, O, U) and 20 consonants (everything else, minus T), then there are

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\dbinom{20}2=\dfrac{20!}{2!(20-2)!}=190

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We want the word to start with T, and we'll allow any arrangement of the other 4 letters, so that the total number of words is

4!\dbinom52\dbinom{20}2=\boxed{45,600}

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