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4 years ago

130.95 rounded to the nearest 10th

Mathematics

1 answer:

olya-2409 [2.1K]4 years ago

7 0

130.95 rounded to the nearest tenths place is 131.0
A five or above means you round up.

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Solve the system <br> 2x+2y+z=-2 <br> -x-2y+2z=-5<br> 2x+4y+z=0

drek231 [11]

The values of (x,y,z) are (3,-1,-2) , if the given are equations $2x+2y+z=- 2$ , $-x-2y+2z=-5$ and $2x+4y+z=0$ .

Step-by-step explanation:

The given is,

$2x+2y+z=- 2$ .......................................(1)

$-x-2y+2z=-5$ ......................................(2)

$2x+4y+z=0$ .........................................(3)

Step:1

Equation (2) is multiplied by -1 ( Eqn(2) × -1 )

$x+2y-2z=5$ .............................(4)

Subtract the equation (1) and (4)

$2x+2y+z=- 2$

$x+2y-2z=5$

( - )

$(2x-x)+(2y-2y)+(z+2z)=(-2-5)$

$x+3z=-7$ ......................(5)

Step:2

Equation (2) is multiplied by -2 ( Eqn(2) × -2)

$2x+4y-4z=10$ ........................(6)

Subtract equation (6) and (3),

$2x+4y-4z=10$

$2x+4y+z=0$

( - )

$(2x-2x)+(4y-4y)+(-4z-z)= (10-0)$

$-5z=10$

$z = - \frac{10}{5}$

z = -2

From the equation (5),

$x+3z=-7$

$x+(3)(-2)=-7$

$x = -7+6$

x = -1

From equation (1),

$2x+2y+z=- 2$

Substitute x and z values,

$(2)(-1)+2y+(-2)=-2$

$2y - 4=2$

$2y=4-2$

$2y=2$

$y=\frac{2}{2}$

y = 1

Step:3

Check for solution,

$-x-2y+2z=-5$

Substitute x,y and z values,

$-(-1)-(2)(1)+(2)(-2)=-5$

$1-2-4=-5$

-5 = -5

Result:

The values of (x,y,z) are (3,-1,-2) , if the given are equations $2x+2y+z=- 2$ , $-x-2y+2z=-5$ and $2x+4y+z=0$ .

8 0

3 years ago

What is the slope of the line whose equation is 2x-6y=0?

Lina20 [59]

Equation of a line is:

y=mx+C

------------------------

We're looking for m as m stands for gradient.

2x-6y=0 (Divide all terms by 2)

x-3y=0

3y=x

y=1/3x

y=1/3x+0

Therefore m=1/3, C=0.

5 0

3 years ago

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10 + 4x = 6<br> I would like to find the equation

sp2606 [1]

Answer:

4x=6-10

4x=-4

x=-4÷4

x=-1

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3 years ago

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Clare Made Some Lemonade By Mixing 6 cups of water with 8 tablespoons of lemonade powder

kvasek [131]

That is going to be 48 for the first question because 6x8 equals 48

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3 years ago

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Mr. Hernandez's backyard is shaped like a trapezoid with a height of 10 m, a top base of 15 m, and a bottom base of 19 m. In his

Zolol [24]

The area of the trapezoid is calculated through the equation,
A = 0.5(b₁ + b₂)h
where A is area, b₁ and b₂ are the lengths of the bases and h is the height. Substituting the known values,
A = 0.5(15 m + 19 m)(10 m)
A = 170 m²
The area of the garden is 170 m².

7 0

3 years ago

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