Ms. Kuersten got the total of $37.42 for her meal. How much should she have left if she wanted to leave a 22% tip?

Mathematics

2 answers:

AnnyKZ [126]4 years ago

7 0

Tip: $8.24
Tip and bill included: $45.66

Virty [35]4 years ago

3 0

Answer:$45.61

Step-by-step explanation:37.42 x .22 is 8.23 so add 8.23 to the total cost of the meal and you get 45.61

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Americans who are 65 years of age or older make up 12.9% of the total population. If there at 30.3 million american in this age

telo118 [61]

Total population of US is 234.88 million.

Step-by-step explanation:

Given,

Number of people are 65 or older = 30.3 million

This represents 12.9% of total population.

Let,

x represent the total population.

12.9% of x = 30.3 million

$\frac{12.9}{100}x=30.3\ million\\0.129x=30.3\ million$

Dividing both sides by 0.129x

$\frac{0.129x}{0.129}=\frac{30.3}{0.129}\ million\\\\x=234.88\ million$

Total population of US is 234.88 million.

Keywords: percentage, division

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What is the simplest form of the expression below?

sineoko [7]

Answer:

(B) cot Theta

Step-by-step explanation:

We want to simplify the expression:

$\dfrac{cot\theta cos\theta}{sin\theta } X\dfrac{tan\theta}{\frac{sin\theta}{cos\theta tan \theta} }$

Now:

$\dfrac{ cos\theta}{sin\theta } =cot\theta\\\dfrac{ sin\theta}{cos\theta }=tan \theta\\$Substituting these into the expression\\\dfrac{cot\theta cos\theta}{sin\theta } X\dfrac{tan\theta}{\frac{sin\theta}{cos\theta tan \theta} }=cot\theta cot\theta X\dfrac{tan\theta}{\frac{tan\theta}{ tan \theta} }\\=cot\theta cot\theta X tan\theta$ (Since cot\theta X tan\theta =1) \\$Therefore our result:\\=cot\theta$