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3 years ago

7

aubrey buys 12 bottles of orange juice at the corner store for a total cost of $3.36. If each bottle costs the same amount, how

much is each bottle of juice

2 answers:

Pie3 years ago

7 0

Answer: A bottle of juice cost $0.28

Step-by-step explanation:

12x = $3.36

Divide 12 on both sides

x = $0.28

Semenov [28]3 years ago

5 0

A bottle of juice would be $0.28

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(1/27)^x-6=27<br><br>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 log<u>b</u><u> </u>(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.

$x = 7$

<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>7</u><u>.</u>

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3 years ago

The product of a number and its ___________ is

Alex

Reciprocal

Explanation:
I know what I know and this is one of those things

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3 years ago

Read 2 more answers

Help me please i put 15 points i think that means it gives you 7 or 8 points??

castortr0y [4]

Answer:

Mean: 0.15125

Median: 0.05

Mode: .05

Range: 0.495

Hope this helps!

3 0

4 years ago

This is for 100 points which is rather rare so please help me out

Lelechka [254]

Answer:

C) $281.25

Step-by-step explanation:

3/15 describes you having to pay the bill in 15 days with a 3% discount.

3% = 0.03

289.95 - (298.95 x 0.03)

289.95 - 8.6985

281.25

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3 years ago

What is the value of X? Make sure to show all of your work! Hint: What does each angle measure in an equilateral triangle? You d

Bogdan [553]

Answer: X = 9

Show Your Work:
All Angles & Sides = 60.
All Triangles = 180.
60 x 3 = 180.

Angle N:
7x - 3 = 60
7 * 9 - 3 = 60.

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3 years ago