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arsen [322]
3 years ago
13

When any number is multiplied by 6 and the digits of the answer are added the sum will be divisible by 6?

Mathematics
1 answer:
lianna [129]3 years ago
4 0
Let's probe some numbers.

3 * 6 = 18

1 + 8 = 9

9 is not divisible by 6.

Therefore, we have found a counterexample which proves that the original statement is false and we can conclude that it is not true that w<span>hen any number is multiplied by 6 and the digits of the answer are added the sum will be divisible by 6.

Answer: false
</span>
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2 years ago
Find the missing length. The triangles are similar.
Marina CMI [18]

Answer:

RK= 13      SK= 12

Step-by-step explanation

First, we find the missing length of RK using the given information: 65-52=13

Then we divide 65 by 13 to get a scale factor: 65/13=5

(To check, we multipuly: 13*5=65)

We then apply the scale factor to MK to find SK: 60/5=12

(To check we multipuly: 5*12=60)

We now have our answers: RK:13, SK:12

4 0
3 years ago
Type the correct answer in each box. Use numerals instead of words.
stira [4]

The system of equations when been placed in a matrix yields

\left[\begin{array}{ccc}650&-1\\120&1\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right]  =\left[\begin{array}{ccc}-175\\25080\end{array}\right]

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the equation:

y = 650x + 175 and;

y = 25080 - 120x

Rearranging the equations gives:

650x - y = -175 and;

120x + y = 25080

Placing the equations in a matrix gives:

\left[\begin{array}{ccc}650&-1\\120&1\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right]  =\left[\begin{array}{ccc}-175\\25080\end{array}\right]

The system of equations when been placed in a matrix yields

\left[\begin{array}{ccc}650&-1\\120&1\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right]  =\left[\begin{array}{ccc}-175\\25080\end{array}\right]

Find out more on equation at: brainly.com/question/2972832

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2 years ago
What function is increasing? will give brainlist !
Wewaii [24]

Answer:

Option B.

Step-by-step explanation:

Option A.

f(x) = (0.5)^{x}

Derivative of the given function,

f'(x) = \frac{d}{dx}(0.5)^x

      = (0.5)^x[\text{ln}(0.5)]

      = -(0.693)(0.5)^{x}

Since derivative of the function is negative, the given function is decreasing.

Option B. f(x) = 5^x

f'(x) = \frac{d}{dx}(5)^x

      = (5)^x[\text{ln}(5)]

      = 1.609(5)^x

Since derivative is positive, given function is increasing.

Option C. f(x) = (\frac{1}{5})^x

f'(x) = \frac{d}{dx}(\frac{1}{5})^x

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      = -5^{-x}.\text{ln}(5)

Since derivative is negative, given function is decreasing.

Option D. f(x) = (\frac{1}{15})^x

                f'(x) = -15^{-x}[\text{ln}(15)]

                       = -2.708(15)^{-x}

Since derivative is negative, given function is decreasing.

Option (B) is the answer.

7 0
2 years ago
If a sprinkler waters 1 over 8 of a lawn in 1 over 2 hours, how much time will it take to water the entire lawn?
timama [110]

Answer:

4 hours

Step-by-step explanation:

it takes thirty minutes to water 1/8 of a lawn, so you will water 2/8 every hour. 8 divided by 2 is 4.

8 0
3 years ago
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