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3 years ago

What’s 113% as a mixed number

Mathematics

1 answer:

Gemiola [76]3 years ago

8 0

I don't know if this is what your looking for but 113% = 113/100 can be 1 13/100.

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This extreme value problem has a solution with both a maximum value and a minimum value. use lagrange multipliers to find the ex

noname [10]

$L(x,y,z,\lambda)=10x+10y+2z+\lambda(5x^2+5y^2+2z^2-42)$

$L_x=10+10\lambda x=0\implies1+\lambda x=0$

$L_y=10+10\lambda y=0\implies1+\lambda y=0$

$L_z=2+4\lambda z=0\implies1+2\lambda z=0$

$L_\lambda=5x^2+5y^2+2z^2-42=0$

$\begin{cases}L_x=0\\L_y=0\\L_z=0\end{cases}\implies1+\lambda x=1+\lambda y=1+2\lambda z=0\implies x=y=2z$

$5x^2+5y^2+2z^2=5(2z)^2+5(2z)^2+2z^2=42z^2=42\implies z^2=1$

$z^2=1\implies z=\pm1\implies x=y=\pm2$

There are two critical points, at which we have

$f\left(2,2,1\right)=42\text{ (a maximum value)}$

$f\left(-2,-2,-1\right)=-42\text{ (a minimum value)}$

3 0

3 years ago

a student bought a juice pouch for $2.50 and 3 bags of chips. the total cost was $5.05 write and solve an equation to determine

Wittaler [7]

First, write it as an equation

2.50+3x=5.05

Next, subtract 2.50 from both sides

2.50-2.50+3x=5.05-2.50

3x=2.55

Divide 3 on both sides

3x/3=2.55/3

x=0.85

The cost of a bag of chips is 0.85

hope i helped :D

5 0

3 years ago

Read 2 more answers

-5x - 2y = 13<br> -4x + y = 0<br> Solve by substation

kotegsom [21]

Answer:

(x,y)=(-1,-4)

Step-by-step explanation:

-4x + y = 0

+4x +4x

y=4x

-5x - 2y = 13

+5x +5x

-2y = 5x+13

-2(4x) = 5x+13

-8x=5x+13

-5x -5x

-13x/-13=13/-13

x=-1

Thus:

y=4x

y=4(-1)

y=-4

5 0

3 years ago

Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

elena-14-01-66 [18.8K]

It does match-
The Y-Intercept is 12
And the slope is -3/1

You can confirm this by counting rise over run in the graph
Starting at the Y-Intercept (Y=12) the graph goes down 3 units (-3) over 1 unit (1)
This confirms that the slope is -3/1

3 0

3 years ago

What is 15-5(4x-7)=50

katovenus [111]

Simplifying

15 + -5(4x + -7) = 50

Reorder the terms:

15 + -5(-7 + 4x) = 50

15 + (-7 * -5 + 4x * -5) = 50

15 + (35 + -20x) = 50

Combine like terms: 15 + 35 = 50

50 + -20x = 50

Add '-50' to each side of the equation.

50 + -50 + -20x = 50 + -50

Combine like terms: 50 + -50 = 0

0 + -20x = 50 + -50

-20x = 50 + -50

Combine like terms: 50 + -50 = 0

-20x = 0

Solving

-20x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '-20'.

x = 0.0

Simplifying

x = 0.0

5 0

3 years ago