X=5
Y=8
Z=8

3x+2y-z=23 --> z=-23+2y+3x
Y=8
Substitute for -2y+4z=16

-2(8)+4(-23+2(8)+3x)=16
-16-28+12x=16
-44+12x=16
12x=60
X=5

Substitute known y and x values into z=-23+2y+3x

Z=-23+2(8)+3(5)
Z=-23+16+15
Z=8

4 0

3 years ago

Andrea, Justin, and Virginia went to an office supply store. Andrea bought 6 pencils, 7 markers, and 8 erasers. Her total was $1

olga2289 [7]

Answer:

$x=0.25\,,\,y=1.75\,,\,z=0.25$

Step-by-step explanation:

Let $x,y,z$ denotes number of pencils, markers, erasers respectively.

For Andrea:

$6x+7y+8z=15.75\,\,\,(i)$

For Justin:

$6x+8y+5z=16.75\,\,\,(ii)$

For Virginia:

$5x+5y+7z=11.75\,\,\,(iii)$

On subtracting equations (i) and (ii), we get

$(6x+7y+8z)-(6x+8y+5z)=15.75-16.75\\-y+3z=-1\\y-3z=1\\y=1+3z$

Put $y=1+3z$ in equation (i)

$6x+7(1+3z)+8z=15.75\\6x+29z=8.75\,\,\,(iv)$

Put $y=1+3z$ in equation (iii)

$5x+5(1+3z)+7z=11.75\\5x+22z=6.75\,\,\,(v)$

Multiply equation (iv) by 5 and equation (v) by 6 and then subtract both the equations.

$5(6x+29z)-6(5x+22z)=5(8.75)-6(6.75)\\13z=3.25\\z=\frac{3.25}{13}=0.25$

Put $z=0.25$ in equation $y=1+3z$

$y=1+3(0.25)=1.75$

Put $y=1.75\,,\,z=0.25$ in equation (i)

$6x+7(1.75)+8(0.25)=15.75\\6x+12.25+2=15.75\\6x=1.5\\x=0.25$

8 0

4 years ago

A model of a volcano has a height of 12 in. , and a diameter of 12 in. What is the approximate volume of the model? Use 3. 14 to

jenyasd209 [6]

The approximate volume of the model will be

$v=452.33 inch^{2}$

<h3 /><h3>What is the approximate volume of the model? </h3>

It is given that

$Height of the volcano =12 inch$

$Diameter of the volcano= 12inch=r=6inch$

So the volume of the model will be =

$=\dfrac{1}{3\\} \pi \times r^{2} \times h$

$= \dfrac{1}{3} \pi \times (6)^{2} \times 12$

$v=452.33inch^{2}$

Thus the approximate volume of the model will be $v=452.33 inch^{2}$

To know more about the volume of the cone follow

https://brainly.in/question/18480521

4 0

2 years ago

PLEASE HELP ME I DONT UNDERSTAND THIS

ruslelena [56]

Answer: B or the Second graph right next to the first one.

Step-by-step explanation: Graph by using a few selected points... Horizontal Asymptote - y=7.

x----------y

0 -118

5 0

3 years ago