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2 years ago

The sales tax on a $350 computer is $22.75. find the sales tax rate

Mathematics

1 answer:

Mice21 [21]2 years ago

6 0

X = Sales Tax Rate
350 * X = 22.75
22.75 / 350 = 0.065
0.065 = 6.5%

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Involves triangle centroid

Rasek [7]

Here, you do the same as the previous one, keeping in mind that X cuts TW in a 2:1 ratio.

$\bf TW-TX=XW\implies \cfrac{8a}{5}+\cfrac{1}{10}-\left(a +\cfrac{4}{5} \right)=XW
\\\\\\
\cfrac{8a}{5}+\cfrac{1}{10}-a-\cfrac{4}{5}=XW\implies \cfrac{3a}{5}-\cfrac{7}{10}=XW\\\\
-------------------------------\\\\$

$\bf TX:XW\qquad 2:1\qquad \cfrac{TX}{XW}=\cfrac{2}{1}\implies \cfrac{a+\frac{4}{5}}{\frac{3a}{5}-\frac{7}{10}}=\cfrac{2}{1}
\\\\\\
\cfrac{\frac{5a+4}{5}}{\frac{6a-7}{10}}=\cfrac{2}{1}\implies \cfrac{5a+4}{5}\cdot \cfrac{10}{6a-7}=\cfrac{2}{1}\implies \cfrac{10a+8}{6a-7}=\cfrac{2}{1}
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6 0

3 years ago

Does 8,6,4 contain numbers that are less than 10

raketka [301]

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6 0

3 years ago

The population of Anytown is 8000. It is predicted to increase by 5% in one year. What is the predicted population after one yea

solmaris [256]

800 is what I think

8 0

2 years ago

Read 2 more answers

For every 2 hours that Robert spends studying for a math test he spends 3 hours working on English. If he spends 21 hours one mo

nataly862011 [7]

Answer:

31.5 hours studying English

Step-by-step explanation:

2 math hours = 3 english hours

21 math hours = ? english hours

21/2 = 10.5

10.5 * 3 = 31.5

5 0

2 years ago

PLEASE HURRY!! simplify completely show all work for full credit

Irina18 [472]

Answer:

$4x^{3}$

Step-by-step explanation:

Given:

$(\frac{192x^{12}}{3x^{3}} )^{\frac{1}{3}}$

Apply exponent rule of distribution:

$\frac{(192x^{12})^{\frac{1}{3}}}{(3x^{3})^{\frac{1}{3}}}$

Simplify the numerator:

$\\\\\frac{4 * 3^{\frac{1}{3}}x^{4}}{(3x^{3})^{\frac{1}{3}}}$

Simplify the denominator:

$\\\frac{4 * 3^{\frac{1}{3}}x^{4}}{3^\frac{1}{3}x}}$

Simplify:

$4x^{3}$

-> To explain this party since it is a bigger jump, $3^{\frac{1}{3}}x$ is on the top and the bottom, so it becomes a one. We are left with a four on the top, and using properties of exponents 4 - 1 = 3, explaining why we have $x^{3}$ leftover too.

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

3 0

2 years ago