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34kurt
3 years ago
15

If you add 1/3 of a number to the number itself, you get 16. What is the number?

Mathematics
1 answer:
Klio2033 [76]3 years ago
8 0
Let, the number = x
x/3 + x = 16
x+3x /3 = 16
4x = 16*3
x = 48/4
x = 12

So, the number would be 12

Hope this helps!
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Find the length of BC
Ivan

Answer:

13.3650978628

Step-by-step explanation:

Angle A=180-(Angle B+C)=180-117=63

Here,

b=BC, p=AC & AB=12

Using the relation of cos,

cosx=b/h

cos27=BC/15

15cos27=BC

Using a calculator,

BC=13.3650978628

6 0
2 years ago
find three consecutive even integers so that the twice the sum of the second and third is twelve less than six times the first
zysi [14]

n, n + 2, n + 4 - three consecutive even integers

the twice the sum of the second and third: 2[(n + 2) + (n + 4)]

twelve less than six times the first: 6n - 12

The equation:

2[(n + 2) + (n + 4)] = 6n - 12

2(n + 2 + n + 4) = 6n - 12

2(2n + 6) = 6n - 12       <em>use distributive property</em>

(2)(2n) + (2)(6) = 6n - 12

4n + 12 = 6n - 12       <em>subtract 12 from both sides</em>

4n = 6n - 24       <em>subtract 6n from both sides</em>

-2n = -24        <em>divide both sides by (-2)</em>

n = 12

n + 2 = 12 + 2 = 14

n + 4 = 12 + 4 = 16

<h3>Answer: 12, 14, 16</h3>
4 0
3 years ago
Inequality <br> Choose all answers that apply
maxonik [38]

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

Option A;  m \leq\frac{3}{5}

»»————- ★ ————-««  

Here’s why:  

  • We can use inverse operations to solve for 'm'.

⸻⸻⸻⸻

\boxed{\text{Solving for 'm':}}\\\\5m+1\leq4\\--------\\\rightarrow 5m + 1 - 1 \leq 4 - 1\\\\\rightarrow 5m\leq3\\\\\rightarrow \frac{5m\leq3}{5}\\\\\rightarrow \boxed{m\leq\frac{3}{5}}

⸻⸻⸻⸻

Any number that is less than or equal to the value of three-fifths would work.

The option that is less than or equal to (3/5) is option A.

Assuming that there are more options than the options shown, choose the numbers that are less than or equal to (3/5).

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

8 0
2 years ago
7. Which of these polynomial functions gives the number of lights in a hexagonal rig (six sides) with n rows? (Hint: Look for a
morpeh [17]
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
Below are the answers:

<span>7. C. H(n) = ½n^2 + n + 1
</span>8. D. As the number of rows increases, the hexagonal rig gets closer to having twice as many lights as the square rig.
3 0
3 years ago
If f(x) = 5x, what is f -1 (x) ?
Gala2k [10]

Answer:

f^{-1}(x) = \frac{x}{5}

Step-by-step explanation:

f^{-1}\left( x\right)  =y\Longleftrightarrow f\left( y\right)  =x

…………………………

f(y) = x

⇔ 5y = x

\Longleftrightarrow  y =\frac{x}{5}

\Longleftrightarrow  f^{-1}(x) = \frac{x}{5}

4 0
2 years ago
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