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mojhsa [17]
3 years ago
5

miss holman gave a 90 cent tip to a waitress for serving a meal costing $6.00. what is the percent of the bill was her tip?

Mathematics
2 answers:
irinina [24]3 years ago
8 0
90cent\ \ \ | convert\ cent \ into\ \$\\\\
1dollar=100cent\\\\
90cent= 0.9dollar\\\\
\frac{0.9}{6}*100\%=\frac{90}{6}\%=15\%\\\\
Tip\ was\ 15\%\ of\ cost\ of\ meal.
KiRa [710]3 years ago
6 0

Answer:

<em>The tip was </em><em>15% </em><em>of the meal.</em>

Step-by-step explanation:

The amount of tip that miss Holman gave is 90 cent or $0.90

The total cost of the meal is $6.00

Let the tip is x% of the total cost of $6, so the amount of tip is,

=6\times \dfrac{x}{100}

But as it given as $0.90, so

\Rightarrow 6\times \dfrac{x}{100}=0.90

\Rightarrow x=\dfrac{0.90\times 100}{6}

\Rightarrow x=15\%

Therefore, miss Holman gave a generous 15% tip to the waitress for serving the meal.

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1. Among 806 people asked which is there favorite seat on a plane, 492 chose the window seat, 8 chose the middle seat, and 306 c
prisoha [69]

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See explanation

Step-by-step explanation:

Among 806 people asked which is there favorite seat on a plane, 492 chose the window seat, 8 chose the middle seat, and 306 chose the aisle seat, then

P(\text{Window seat})=\dfrac{492}{806}=\dfrac{246}{403}\\ \\P(\text{Middle seat})=\dfrac{8}{806}=\dfrac{4}{403}\\ \\P(\text{Aisle seat})=\dfrac{306}{806}=\dfrac{153}{403}

a) One randomly selected person preferes aisle seat with probability

\dfrac{153}{403}

b) Two randomly selected people both prefer aisle seat (with replacement) is

\dfrac{306}{806}\cdot \dfrac{306}{806}=\dfrac{153}{403}\cdot \dfrac{153}{403}=\dfrac{23,409}{162,409}

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In the figure LMV is similar to UTK. what's the value of x the length of side LM?​
Kipish [7]

To solve this problem, all we need to do is just set up a proportion. The two shapes are similar, which means that they are the same shape, but different sizes. Using the wording/letter arrangement in the problem, we can figure out which side of one triangle corresponds to which side of the other triangle.

Triangle LMV (with segments LM, MV, and VL) is similar to triangle UTK (with segments UT, TK, and KU).

Corresponding pairs:

LM(x) : UT(39)

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However, we need only be interested in the first two pairs. Here is the proportion with letters:

LM / UT = MV / TK

and as numbers:

x / 39 = 30 / 65

Solve for x:

x / 39 = 30 / 65

Cross multiply:

(x)(65) = (39)(30)

Simplify:

65x = 1170

Divide:

65x/65 = 1170 / 65

Simplify:

x = 18

<h2>Answer:</h2>

The length of side LM (x) in triangle LMV is 18 units.

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I guess I'm lacking in differential equations. I couldn't solve this question. Can you help me?
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Answer:

See Explanation.

General Formulas and Concepts:

<u>Pre-Algebra</u>

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<u>Algebra II</u>

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<u>Calculus</u>

Derivatives

Basic Power Rule:

  • f(x) = cxⁿ
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Chain Rule: \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)

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Step-by-step explanation:

<u>Step 1: Define</u>

ln(\frac{2x-1}{x-1} )=t

<u>Step 2: Differentiate</u>

  1. Rewrite:                                                                                                         t = ln(\frac{2x-1}{x-1})
  2. Rewrite [Ln Properties]:                                                                                 t = ln(2x-1) - ln(x - 1)
  3. Differentiate [Ln/Chain Rule/Basic Power Rule]:                                         \frac{dt}{dx} = \frac{1}{2x-1} \cdot 2 - \frac{1}{x-1} \cdot 1
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