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3 years ago

HELP ASAP pleaseeee

Mathematics

2 answers:

Nana76 [90]3 years ago

6 0

Answer:

$x = \frac{z - 3y}{2}$

Step-by-step explanation:

Question :

$3y = z - 2x$

First take 2x to the left to make the 2x as a positive number (So, It's easy to solve)

$3y + 2x = z$

Then take 3y to the right side

$2x = z - 3y$

Now, divide both sides by 2 to make the x as the Subject

$\frac{2x}{2} = \frac{z - 3y}{2} \\ x = \frac{z - 3y}{2}$

hope this helps you.

Please let me know if you have another questions :-)

AlekseyPX3 years ago

5 0

$\\ \sf\longmapsto 3y=z-2x$

Take z to left

$\\ \sf\longmapsto -2x=3y-z$

Take out -

$\\ \sf\longmapsto 2x=-3y+z$

$\\ \sf\longmapsto 2x=z-3y$

$\\ \sf\longmapsto x=\dfrac{z-3y}{2}$

Read more about transformations at:

brainly.com/question/11709244

4 0

2 years ago

Wyatt is going to a carnival that has games and rides. Each game costs $1. 25 and each ride costs $2. 75. Wyatt spent $20. 25 al

Nonamiya [84]

In the carnival the number of games number of rides Wyatt went on is 3 and 6 respectively.

<h3>What is system of equation?</h3>

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

The number of unknown objects can be find using the system of solution.

Given information-

The cost of each game is $1.25.

The cost of each ride is $2.75.

Total amount of money spent by the Wyatt is $20.25.

The number of rides he went on is twice the number of games he played.

Suppose the number of games Wyatt played is x and the number of rides he went in the carnival is y.

As, the number of rides he went on is twice the number of games he played. Thus,

$y=2x$

Let the above equation as equation one.

As total amount of money spent by the Wyatt is $20.25 and The cost of each game is $1.25 and the cost of each ride is $2.75. Thus,

$1.25x+2.75y=20.25\\$

Put the value of y in the above equation from the equation one as,

$1.25x+2.75(2x)=20.25\\1.25x+5.5x=20.25\\6.75x=20.25\\x=3$

Thus the number of games he played is 3.

Put this value of x in the equation one as,

$y=2\times3\\y=6$

Thus the number rides Wyatt went on is 6.

Hence, In the carnival the number of games number of rides, Wyatt went on is 3 and 6 respectively.

Learn more about the system of equations here;

brainly.com/question/13729904

5 0

2 years ago

42. Which matrix represents the image of the triangle with vertices at (-2,0), (1,5), and (4,-8) when dilated by a scale factor

jasenka [17]

The second matrix $\left[\begin{array}{ccc}-6&3&12\\0&15&-24\end{array}\right]$ represents the triangle dilated by a scale factor of 3.

Step-by-step explanation:

Step 1:

To calculate the scale factor for any dilation, we divide the coordinates after dilation by the same coordinated before dilation.

The coordinates of a vertice are represented in the column of the matrix. Since there are three vertices, there are 2 rows with 3 columns. The order of the matrices is 2 × 3.

Step 2:

If we form a matrix with the vertices (-2,0), (1,5), and (4,-8), we get

$\left[\begin{array}{ccc}-2&1&4\\0&5&-8\end{array}\right]$

The scale factor is 3, so if we multiply the above matrix with 3 throughout, we will get the matrix that represents the vertices of the triangle after dilation.

Step 3:

The matrix that represents the triangle after dilation is given by

$3\left[\begin{array}{ccc}-2&1&4\\0&5&-8\end{array}\right] = \left[\begin{array}{ccc}3(-2)&3(1)&3(4)\\3(0)&3(5)&3(-8)\end{array}\right] = \left[\begin{array}{ccc}-6&3&12\\0&15&-24\end{array}\right]$

This is the second option.

4 0

2 years ago