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earnstyle [38]
3 years ago
9

Select the correct answer.

Mathematics
2 answers:
AfilCa [17]3 years ago
5 0

Answer:

x = 1/2

Step-by-step explanation:

9^x -1 = 2

Add 1 to each side

9^x = 2+1

9^x = 3

Rewriting 9 as 3^2

3^2x = 3

3^2x = 3^1

The bases are the same so the exponents must be the same

2x =1

2x/2 =1/2

x = 1/2

givi [52]3 years ago
4 0

Answer:

9 {}^{x}  - 1 = 2 \\ 9 {}^{x}  = 2 + 1 \\ 9 {}^{x}  = 3 \\ 3 {}^{2(x)}  = 3 \\ 3 {}^{2x}  = 3 {}^{1}  \\ since \: the \: \: bases \: are \: the \: same \\ 2x = 1 \\ x =  \frac{1}{2}

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Kenan bought Madden 2020 for $58.40. The sales tax rate was
Volgvan

Answer:

Kenen spent $62.49

Step-by-step explanation:

7% of $58.40 is about $4.09

$58.40 + $4.09 = $62.49

Hope this helped:)

6 0
3 years ago
What is the smallest group of repeating digits in this nonterminating decimal, 0.345345?
ziro4ka [17]

Answer:

345

Step-by-step explanation:

7 0
3 years ago
What is the value of x in the figure at the right?
Verdich [7]

Answer:

b 12

Step-by-step explanation:

62=5x+2(opposite angle are equal)

5x=60

x=12

7 0
2 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B2x%7D%7B5%7D%20%3D%209%20-%20%20%5Cfrac%7Bx%7D%7B2%7D%20" id="TexFormula1" title=
Ray Of Light [21]

Add \frac{x}{2} to both sides:

\dfrac{2x}{5}+\frac{x}{2} = 9

Add the fractions in the left hand side:

\dfrac{2x}{5}+\frac{x}{2} = \dfrac{4x}{10}+\frac{5x}{10}=\dfrac{9x}{10}

So, the equation becomes

\dfrac{9x}{10}= 9

Multiply both sides by 10:

9x = 90

Divide both sides by 9:

x = 10

5 0
4 years ago
5500 milliliters equal how many liters show work
Eva8 [605]

Answer:

5.5 liters

Step-by-step explanation:

1 milliliter equals to 1/1000 part of a liter, which is 0.001 liter.

1 milliliter = 1 * 0.001 liter

So if you have 5500 milliliters that means it equals to 5500 times one milliliters and 1 milliliter = 1 * 0.001 liter, so for 5500 milliliters it is 5500 times as much

5500 * 0.001

5500 * 1/1000

5500 / 1000

5.5 liters

As long as you know this number 0.001 , then it is easily to calculate between liters and milliliters.

EXTRA:

To convert from amount A which is given in a certain quantity, to another quantity, you sometimes have to multiply and in other cases you need to divide by a certain factor. The factor defines the relationship between the quantities.

Suppose you have 1000 times 1 milliliter then you can find the amount in liters by multiplying that number of milliliters times 0.001.

It is easy to see that

1000 * 1/1000

1000 / 1000

= 1 liter, but that is easy, because I choose an easy number for the amount of milliliters to convert into liters. But it works exactly the same for any amount!

8 0
3 years ago
Read 2 more answers
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