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3 years ago

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In a 3-digit number, the hundreds digit is four more than the ones digit and the tens digit is twice the hundreds digit. If the

sum of the digits is 12, find the three digits. Find the number.

1 answer:

AVprozaik [17]3 years ago

8 0

If the ones digit is "d", the number is (d+4)(2(d+4))(d), and the sum of digits is 4d+12 = 12. Then d=0.

The number is 480.

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3 years ago

Which expressions are equivalent to Negative 9 (two-thirds x + 1)? Check all that apply.

Sav [38]

<u><em>Answer:</em></u>

<u><em /></u> $-9(\frac{2}{3}x) + 9(1)\\ \\-6x + 9$

<u><em>Explanation:</em></u>

<u>Before we begin, remember the following rules:</u>

<u>1- Distribution property:</u>

<u /> $a(b+c) = ab+ac$

<u>2- Simplification of fractions:</u>

<u /> $\frac{xy}{yz}=\frac{x}{z}$

<u>3- Signs in multiplication:</u>

+ve * +ve = +ve

-ve * -ve = +ve

+ve * -ve = -ve

<u>Now, for the given problem, we have:</u>

<u></u> $9 (\frac{2}{3}x + 1)$

<u>Starting with the distributive property:</u>

<u /> $-9 (\frac{2}{3}x +1) = -9(\frac{2}{3}x) - (-9)(1) = -9(\frac{2}{3}x) + 9(1)$

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<u>Now, we simplify the output from the above step:</u>

<u /> $-9(\frac{2}{3}x) + 9 = \frac{-9*2}{3}x + 9 = -6x+9$

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Hope this helps :)

4 0

3 years ago

Read 2 more answers

The club's total number of members will grow exponentially each month. She uses the given expression to model the number of club

mihalych1998 [28]

Answer:

1.8 represents the initial number of the club members in hundreds.

Step-by-step explanation:

* Lets revise the exponential grows

- If a quantity grows by a fixed percent at regular intervals,

the pattern can be depicted by this function.

- The function of the exponential growth is:

y = a(1 + r)^x

# a = initial value (the amount before measuring growth)

# r = growth rate (most often represented as a percentage and

expressed as a decimal)

# x = number of time intervals that have passed

* Now Lets study the problem to solve it

- The club's total number of members will grow exponentially

each month

- The expression to model the number of club members, in

hundreds, after advertising for t months is

1.8(1.02)^12t

* Lets compare between this model and the function above

# a = 1.8 ⇒ initial number of members in hundreds

# r = 1.02 - 1 = 0.02 ⇒ growth rate

# x = 12t ⇒ number of time intervals

* 1.8 represents the initial number of the club members in hundreds.

6 0

3 years ago