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3 years ago

Monica paid sales tax of $105 when she bought a new TV. If the sales tax is 5%, what was the cost of the TV?

Mathematics

1 answer:

mezya [45]3 years ago

7 0

Answer:

$31.5

Step-by-step explanation:

X * 5% = $1.50

X = $1.50 / 5%

Or by using simple rule of three:

If 5% is $1.50

Then 100% is X

So you obtain = $30

Now you just need to sum The net prices and the taxes

Net + tax = Total Charge

$30 + $1.5 = $31.5

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3 years ago

What is the simplified form of 162

SashulF [63]

Answer:

9 √ 2

Step-by-step explanation:

1. Rewrite 162 as $9^{2}$ ⋅2

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$\sqrt{81 (2)}$

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$\sqrt{9^{2}.2 }$

4. Pull the terms from under the radical

$\sqrt[9]{2}$

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3 years ago

Each of the line segments in the word MATH are numbered in the graph below. Find the slope (as a ratio of rise over run) of each

emmasim [6.3K]

Answer/Step-by-step explanation:

7. Line 1 = undefined.

Slope of a vertical line is always undefined. The run is zero as x-coordinate remains the same.

8. Line 2 = $\frac{4}{3}$

$slope = \frac{y_2 - y_1}{x_2 - x_1}$

$slope = \frac{8 - 4}{-5 -(-8)}$

$slope = \frac{8 - 4}{-5 + 8}$

$slope = \frac{4}{3}$

9. Line 3 = $\frac{4}{3}$

$slope = \frac{y_2 - y_1}{x_2 - x_1}$

$slope = \frac{8 - 4}{-2 -(-5)}$

$slope = \frac{8 - 4}{-2 + 5}$

$slope = \frac{4}{3}$

10. Line 4 = undefined (slope of a vertical line is always undefined)

11. Line 5 = $\frac{7}{3}$

$slope = \frac{y_2 - y_1}{x_2 - x_1}$

$slope = \frac{8 - 1}{5 - 2}$

$slope = \frac{7}{3}$

12. Line 6 = $-\frac{7}{3}$

$slope = \frac{y_2 - y_1}{x_2 - x_1}$

$slope = \frac{8 - 1}{5 - 8}$

$slope = \frac{7}{-3}$

$slope = -\frac{7}{3}$

13. Line 7 = 0

An horizontal line has no rise.

14. Line 8 = 0 (slope of horizontal line is always zero)

15. Line 9 = undefined (slope of a vertical line is always undefined)

16. Line 10 = undefined (slope of a vertical line is always undefined)

17. Line 11 = 0 (slope of horizontal line is always zero)

18. Line 12 = undefined (slope of a vertical line is always undefined)

5 0

3 years ago

why do whole numbers raised to an exponent get greater while fractions raised to an exponent get smaller?

Scrat [10]

Because 3^2 = 9
When you do (⅓)^2 what you are really doing is
(1^2)/(3^2) = 1/9

If you have (⅔)^2 you do
(2^2)/(3^2) = 4/9

Fractions get smaller because the denominator is also being squared which makes the denominator get bigger and when the denominator is bigger, you are dividing by a larger number which gives you a smaller answer. Whereas when you raise a whole number to an exponent, only the numerator get bigger because the denominator is 1 and 1 raised to any exponent is still 1

3^2 = (3^2)/(1^2) = 9/1 = 9

6 0

3 years ago

Monica paid sales tax of $105 when she bought a new TV. If the sales tax is 5%, what was the cost of the TV?​

Monica paid sales tax of $105 when she bought a new TV. If the sales tax is 5%, what was the cost of the TV?