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3 years ago

_ 1)

Mathematics

1 answer:

Alina [70]3 years ago

3 0

Answer: A)

Step-by-step explanation: If You just look at the numbers you can single out which one is correct

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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

2 years ago

If the radius of a circle is 5 inches, what is the diameter of that circle? Show

vodomira [7]

Answer:

If the radius of a circle is 5 inches, the diameter is 10.

Step-by-step explanation:

This is because to find the diameter of a circle sing the radius is to multiply it by two. 5x2=10

So the diameter is 10. If you want to find the radius just reciprocate the process, divide the diameter by 2 and yo will get the radius.

I really hope this helped you out. Make sure to give my answer brainliest. Have a radiant day or night ! :D

6 0

3 years ago

Joelle would like to tip her hairdresser 20%. If her haircut was $38.00, which expression should she use to find the tip amount?

Vilka [71]

I pretty sure you would use x over 38.00 = 20 over 100 then cross multiply them

6 0

3 years ago

HELP ME PLEASEEEEEEEEE

natima [27]

I think its the last one, Aidan can expect to save about $27.52 each week. Hope I was correct

6 0

3 years ago

You are given the summer reading list for your English class. There are 88 books on the list. You decide you will read all 88. I

vladimir1956 [14]

Answer:

1.854826e+134

Step-by-step explanation:

To answer a question like this, you need to know that the factorial of a number is the multiplication of all the posible whole numbers from 0 to the original number. Thus, this problem can be solved calculating 88! (88 factorial) = 88 * 87 * 86 * 85 * 84 * … * 3 * 2 * 1, so the final answer is a very big number, 1.854826 * 10 ^134

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3 years ago