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3 years ago

Hey can anybody help me out with this please

Mathematics

2 answers:

Naddik [55]3 years ago

7 0

About a 70% increase

elena-14-01-66 [18.8K]3 years ago

7 0

It is a 188% increase

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(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.

5 0

3 years ago

Look at the picture please help

Ahat [919]

Answer

3,120

5 times 5 because the two lines make it positive then subtract 15,625 and then divide everything by neg. 5

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3 years ago

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When 0.5(20x – 50y + 36) – 0.25(–100x + 40y – 12) is simplified, what is the resulting expression?

alisha [4.7K]

0.5(20x - 50y + 36) - 0.25(-100x + 40y - 12)
10x - 25y + 18 + 25x - 10y + 3
35x - 35y + 21

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4 years ago

A rectangle is 4 ft long and 2 ft wide. find its area in square inches.

denis-greek [22]

$\text{Area of rectangle} = \text{length} \times \text{width}\\\\~~~~~~~~~~~~~~~~~~~~~~~=4 ~\text{ft}~\times ~2 ~\text{ft}\\\\~~~~~~~~~~~~~~~~~~~~~~~=8~ \text{ft}^2\\\\~~~~~~~~~~~~~~~~~~~~~~~=1152~\text{in}^2$

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3 years ago

What is the area, in square feet, of the shape below? Express your answer as a fraction in simplest form.

Ahat [919]

4/3 • 5/3 = 20/9 divided by 2 = 10/9

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3 years ago