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kirill [66]
4 years ago
10

Sam bought brushes for $8, a palette for $5, and oil paints for $15. He paid $29.82 in all. What sales-tax rate did Sam pay?

Mathematics
2 answers:
cluponka [151]4 years ago
8 0

Answer:

6.5

Step-by-step explanation:

Tpy6a [65]4 years ago
3 0
First step is to add all the expenses of Sam bought. The sum is equal to 8 + 5 + 15 equal to $28. With the addition of the tax, the tax amounts to a total of $1.82. This means the tax, imposed is $1.82/$28 *100% equal to 6.5 percent
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What is the solution to the following equation?
Pachacha [2.7K]

Answer:

x = 4

Step-by-step explanation:

8x - 9 = 6x - 1

Bring variables to the left side, whereas numbers to the right.

8x - 6x = - 1 + 9

2x = 8

x = 8 / 2

x = 4

3 0
3 years ago
Could anyone please help me ?
timama [110]

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6 0
2 years ago
I need help plz you leave you house at 1 p.m to go to a wedding. The ceremony starts at 5 p.m. and is 350 miles away. You drive
3241004551 [841]
You leave at 1 P.M., the wedding ceremony starts at 5 P.M.

This gives you a 4 hour gap, the Wedding is 350 miles away, and you're traveling at 65 miles an hour.

Simply you can use two methods, (65 * 4) to verify if you'd make it or not or (350/65) to ensure how many hours it would take in total.

65 * 4 = 260 | Since this is not 350, we can verify that you'd be late.
350/65 = 5.4 (estimated) | Meaning it'd take about 5.4 hours.

To know how long that is we'd have to convert over.

5.4 = 5 2/5ths, 60 minutes are in an hour. Divide 60 by 5 to get 12, meaning:
1/5ths = 12/60ths, with that said multiply that by 2 to get your answer.
2/5ths = 24/60ths or 24 minutes.

This means you'd take 5 hours and 24 minutes to get there.

Originally we stated that the process would take 4 hours. Subtract:

(5 hours and 24 minutes) - (4 hours) = (1 hour and 24 minutes)

Concluding that you'd be late by an hour and 24 minutes.

I hope this helps, have a great rest of your day! ^ ^
| | Ghostgate | |
4 0
3 years ago
I need help please will give you 5 stars and good rating
Brums [2.3K]

Answer:

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A) Use the limit definition of derivatives to find f’(x)
Ann [662]
<h3>1)</h3>

\text{Given that,}\\\\f(x) =  \dfrac{ 1}{3x-2}\\\\\text{First principle of derivatives,}\\\\f'(x) = \lim \limits_{h \to 0} \dfrac{f(x+h) - f(x) }{ h}\\\\\\~~~~~~~~= \lim \limits_{h \to 0} \dfrac{\tfrac{1}{3(x+h) - 2} - \tfrac 1{3x-2}}{h}\\\\\\~~~~~~~~= \lim \limits_{h \to 0}  \dfrac{\tfrac{1}{3x+3h -2} - \tfrac{1}{3x-2}}{h}\\\\\\~~~~~~~~= \lim \limits_{h \to 0} \dfrac{\tfrac{3x-2-3x-3h+2}{(3x+3h-2)(3x-2)}}{h}\\\\\\

       ~~~~~~~= \lim \limits_{h \to 0} \dfrac{\tfrac{-3h}{(3x+3h-2)(3x-2)}}{h}\\\\\\~~~~~~~~= \lim \limits_{h \to 0} \dfrac{-3h}{h(3x+3h-2)(3x-2)}\\\\\\~~~~~~~~=-3 \lim \limits_{h \to 0} \dfrac{1}{(3x+3h-2)(3x-2)}\\\\\\~~~~~~~~=-3 \cdot \dfrac{1}{(3x+0-2)(3x-2)}\\\\\\~~~~~~~~=-\dfrac{3}{(3x-2)(3x-2)}\\\\\\~~~~~~~=-\dfrac{3}{(3x-2)^2}

<h3>2)</h3>

\text{Given that,}~\\\\f(x) = \dfrac{1}{3x-2}\\\\\textbf{Power rule:}\\\\\dfrac{d}{dx}(x^n) = nx^{n-1}\\\\\textbf{Chain rule:}\\\\\dfrac{dy}{dx} = \dfrac{dy}{du} \cdot \dfrac{du}{dx}\\\\\text{Now,}\\\\f'(x) = \dfrac{d}{dx} f(x)\\\\\\~~~~~~~~=\dfrac{d}{dx} \left( \dfrac 1{3x-2} \right)\\\\\\~~~~~~~~=\dfrac{d}{dx} (3x-2)^{-1}\\\\\\~~~~~~~~=-(3x-2)^{-1-1} \cdot \dfrac{d}{dx}(3x-2)\\\\\\~~~~~~~~=-(3x-2)^{-2} \cdot 3\\\\\\~~~~~~~~=-\dfrac{3}{(3x-2)^2}

8 0
2 years ago
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