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2 years ago

8

A 2-digit number is one more than 6 times the sum of its digits. If the digits are reversed, the new number is 9 less than the o

riginal number.Find the original number. Let the number be 10x + y.

1 answer:

kramer2 years ago

8 0

Answer:

I think the answer is 43

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Condense the expression to the logarithm of a single quantity.

kherson [118]

$\dfrac 12 \log_3 x - 2\log_3 (y +8)\\ \\=\log_3 x^{\tfrac 12}- \log_3(y+8)^2~~~~~~~~~~~~~~~~~~;[\log_b m^n = n \log_b m]\\\\=\log_3 \left( \dfrac {x^{\tfrac 12}}{y+8)^2} \right)~~~~~~~~~~~~~~~~~~~~~~~~;\left[\log_b \left( \dfrac mn \right) = \log_b m - \log_b n \right]$

3 0

2 years ago

Question 10 (1 point) Solve for x. 1/2+x/6=4/3

jek_recluse [69]

Answer:

The value of x for the given expression is 5 .

Step-by-step explanation:

Given expression as

$\dfrac{1}{2}$ + $\dfrac{x}{6}$ = $\dfrac{4}{3}$

Now, arrange the equation

So, $\dfrac{x}{6}$ = $\dfrac{4}{3}$ - $\dfrac{1}{2}$

<u>Taking L.C.M on right hand side </u>

Or, $\dfrac{x}{6}$ = $\dfrac{8 -3}{6}$

Or, $\dfrac{x}{6}$ = $\dfrac{5}{6}$

Or, x = $\frac{5\times 6}{6}$

∴ x = 5

So, The value of x = 5

Hence,The value of x for the given expression is 5 . Answer

5 0

2 years ago

Alaska, Hawaii and Washington have active volcanoes. Alaska has 43, Hawaii has 5 and Washington has v. If they have 52 active vo

Mama L [17]

Answer:

five

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

The U.S. Energy Information Administration (US EIA) reported that the average price for a gallon of regular gasoline is $3.94 (U

tekilochka [14]

Answer:

a) 25

b) 49

c) 97

Step-by-step explanation:

The sample size is calculated using the formula, n = $(\frac{\sigma\times z}{\textup{Margin of error}})^2$

Now,

for 95% confidence level value of z-factor = 1.96

Given:

Mean = $3.94

standard deviation = $0.25

thus,

a) for margin of error = $0.10

n = $(\frac{\sigma\times z}{\textup{Margin of error}})^2$

or

n = $(\frac{0.25\times1.96}{\textup{0.10}})^2$

or

n = 4.9²

or

n = 24.01 ≈ 25 (Rounded off to next integer)

b) for margin of error = $0.07

n = $(\frac{\sigma\times z}{\textup{Margin of error}})^2$

or

n = $(\frac{0.25\times1.96}{\textup{0.07}})^2$

or

n = 7²

or

n = 49

c) for margin of error = $0.05

n = $(\frac{\sigma\times z}{\textup{Margin of error}})^2$

or

n = $(\frac{0.25\times1.96}{\textup{0.05}})^2$

or

n = 9.8²

or

n = 96.04 ≈ 97 (Rounded off to next integer)

6 0

3 years ago

Can someone please hepl me on tis

MA_775_DIABLO [31]

Answer:

Answer is in pictures

Step-by-step explanation:

36=6x6 90=9x10

256+7=263 104=98+6-2

678=678 81+9=90

5 0

2 years ago