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hodyreva [135]
3 years ago
6

If 3x + 8x + 4x = 6x + 63, then what is 5x + 23?

Mathematics
2 answers:
klio [65]3 years ago
7 0
<span>3x + 8x + 4x = 6x + 63
15x = 6x + 63
9x = 63
  x = 7

so
5x+ 23 =5(7) + 23 = 35+23 = 58</span>
LekaFEV [45]3 years ago
5 0
3x+8x+4x=6x+63
First, since almost everything is together, combine like terms

15x=6x+63

Now, subtract 6x from both sides

9x=63

Now divide both side by 9

x=7

Now that we have found what x equals, we need to plug in the variable into 5x+23

5(7)+23

Now just simplify

35+23= 58
Therefore, 5x+23 when x=7 is 58
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Convert 114five 1 to base ten.
Anna35 [415]

I assume you're asking to convert 114₅ to base 10. We have

114₅ = 1•5² + 1•5¹ + 4•5⁰

114₅ = 25 + 5 + 4

114₅ = 34

5 0
2 years ago
Write an expression in simplest form the perimeter of the figure ?
kondor19780726 [428]

Answer:

4+11a+8b

Step-by-step explanation:

1) 4+3a+2b+6b+5a+3a

2) 3a+3a+5a=11a. 2b+6b=8b

5 0
3 years ago
The maximum value of 12 sin 0-9 sin²0 is: -​
jeka57 [31]

Answer:

4

Step-by-step explanation:

The question is not clear. You have indicated the original function as 12sin(0) - 9sin²(0)

If so, the solution is trivial. At 0, sin(0) is 0 so the solution is 0

However, I will assume you meant the angle to be \theta rather than 0 which makes sense and proceed accordingly

We can find the maximum or minimum of any function by finding the first derivate and setting it equal to 0

The original function is

f(\theta) = 12sin(\theta) - 9 sin^2(\theta)

Taking the first derivative of this with respect to \theta and setting it equal to 0 lets us solve for the maximum (or minimum) value

The first derivative of f(\theta) w.r.t \theta is

                        12\cos\left(\theta\right)-18\cos\left(\theta\right)\sin\left(\theta\right)

And setting this = 0 gives

12\cos\left(\theta\right)-18\cos\left(\theta\right)\sin\left(\theta\right) = 0

Eliminating cos(\theta) on both sides and solving for sin(\theta) gives us

sin(\theta) = \frac{12}{18} = \frac{2}{3}

Plugging this value of sin(\theta) into the original equation gives us

12(\frac{2}{3}) - 9(\frac{4}{9} ) = 8 - 4 = 4

This is the maximum value that the function can acquire. The attached graph shows this as correct

3 0
1 year ago
Thank you in advance for the help !!
babymother [125]

The Answer is C, my good friend.

4 0
3 years ago
HELP PLEASEEEEE I'll give you a crown
arlik [135]

Answer:

8.64%

Step-by-step explanation:

Write it as a decimal

7/81 = 0.0864

0.0864 is the decimal representation for 7/81

For Percentage Conversion :

step 1 To represent 0.0864 in percentage, write 0.0864 as a fraction

Fraction = 0.0864/1

step 2 multiply 100 to both numerator & denominator

(0.0864 x 100)/(1 x 100) = 8.64/100

8.64% is the percentage representation for 7/81

4 0
3 years ago
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