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gizmo_the_mogwai [7]
3 years ago
10

3. You and 8 friends went out to dinner, and they've asked you to divide the $177 bill. If you want to tip the waiter

Mathematics
2 answers:
Naily [24]3 years ago
5 0
Each person will owe $23.60. Please mark as Brainliest if correct! :)
NARA [144]3 years ago
3 0

Answer:

So let's find out!

Step-by-step explanation:

20 percent= 20/100

Now, to make a proportion:

(Let x=Tip)

\frac{20}{100} =\frac{x}{177} \\100x=3540\\x=35.4

We know the amount of the tip, now we need to find how much each person has to contribute:

(let y=$ everyone has to contribute)

9y=35.4+177\\9y=212.4\\y=23.6

There we go!

Each Person has to contribute $23 and 60 cents!

Hope this helps!

P.S. Stay Safe!

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A new 70-inch tv is on sale. With sales tax 5%, the cost of the tv is $3150. What is the purchase
SVETLANKA909090 [29]

x - 0.05x = 3150 \\ 0.95x = 3150 \\ x = 3315
4 0
3 years ago
Find the derivative of ln(cosx²).​
RoseWind [281]

Answer:

\displaystyle \frac{dy}{dx} = -2x \tan (x^2)

General Formulas and Concepts:

<u>Calculus</u>

Differentiation

  • Derivatives
  • Derivative Notation

Basic Power Rule:

  1. f(x) = cxⁿ
  2. f’(x) = c·nxⁿ⁻¹

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

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle y = \ln (\cos x^2)

<u>Step 2: Differentiate</u>

  1. Logarithmic Differentiation [Derivative Rule - Chain Rule]:                       \displaystyle y' = \frac{(\cos x^2)'}{\cos x^2}
  2. Trigonometric Differentiation [Derivative Rule - Chain Rule]:                   \displaystyle y' = \frac{-\sin x^2 (x^2)'}{\cos x^2}
  3. Basic Power Rule:                                                                                         \displaystyle y' = \frac{-2x \sin x^2}{\cos x^2}
  4. Rewrite [Trigonometric Identities]:                                                              \displaystyle y' = -2x \tan (x^2)

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

8 0
3 years ago
2/3 cups of raisins are mixed with 1/2 cup peanuts what is the ratio
krok68 [10]
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6 0
3 years ago
Help pls, how do i answer this one
nasty-shy [4]

Answer:

h > 24

Step-by-step explanation:

h/3 > 8

so basially you move the number three from the left side to the right side

so from division to multiplication

h > 8 x 3
h > 24
Solved !

Hope it helped ! Have a nice day !

5 0
2 years ago
A total of $6000 is invested: part at 5% and the remainder at 9%. How much is invested at each rate if the annual interest is $5
notsponge [240]
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Account 2= $ 250  Interest 5% = $  12.50

$517.50+$12.50=$350
7 0
3 years ago
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