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3 years ago

Solve by converting to the easiest form of the rational numbers to use in the problem. Show your work.

Mathematics

1 answer:

erma4kov [3.2K]3 years ago

4 0

Answer:

8 drops will take to fill the test tube.

Step-by-step explanation:

A volume of $\frac{1}{8}$ millimeter test tube is produced by the dropper that Arwen uses.

Now, we are asked to calculate the number of drops it will take to fill the test tube.

Then, $\frac{1}{8}$ of the millimeter test tube is equivalent to 1 drop.

So, 1 of the millimeter test tube will be equivalent to $\frac{1}{\frac{1}{8} } = 8$ drops.

Therefore, 8 drops will take to fill the test tube. (Answer)

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Please help 10 points and you get brainiest if you get it right. look at the pic below

IRISSAK [1]

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3 years ago

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The sale rack at the department store said that an additional 30 percent discount would be taken on all items. If a dress

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4 years ago

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3 years ago

(1/27)^x-6=27 Could I please have a step by step as well? Much appreciated!

Andrei [34K]

Answer:

$x = 7$

Step-by-step explanation:

1) Use Division Distributive Property: (x/y)^a = x^a/y^a.

$\frac{1}{ {27}^{x - 8} } = 27$

2) Multiply both sides by 27^x - 8.

$1 = {27} \times 27^{1 + x - 8}$

3) Use the product rule: x^a x^b = x^a+b.

$1 = {27}^{1 + x - 8}$

4) Simplify 1 + x - 8 to x - 7.

$1 = {27}^{x - 7}$

5) Use Definition of Common Logarithm: b^a = x if and only if logb (x) = a.

$log_{27}1 = x - 7$

6) Use Change of Base Rule.

$\frac{ log_1 }{ log{27} } = x - 7$

7) Use rule of 1: log 1 = 0.

$\frac{0}{ log_{27}} = x - 7$

8) Simplify 0/log_27 to 0.

$0 = x - 7$

9) Add 7 to both sides.

$7 = x$

10) Switch sides.

$x = 7$

Therefor, the answer is x = 7.

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3 years ago

mary covered her kitchen floor with 10 tiles.The floor measures 6 ft long by 5 ft wide.the tiles are each 3 ft long and w ft wid

Vadim26 [7]

W=(10/(6/3))/5=(10/(2))/5=(5)/5=1

w=1 foot

8 0

4 years ago