Round your answer to the nearest hundredth. Pro с 2 в Mis Pro Tea

Slav-nsk [51]

Answer:

$\large\boxed{x=-\dfrac{69}{2}\to x=-34\dfrac{1}{2}\to x=-34.5}$

Step-by-step explanation:

$\dfrac{2}{3}x-\dfrac{3}{4}=5+\dfrac{5}{6}x\qquad\text{multiply both sides by LCD = 12}\\\\12\!\!\!\!\!\diagup^4\cdot\dfrac{2}{3\!\!\!\!\diagup_1}x-12\!\!\!\!\!\diagup^3\cdot\dfrac{3}{4\!\!\!\diagup_1}=(12)(5)+12\!\!\!\!\!\diagup^2\cdot\dfrac{5}{6\!\!\!\diagup_1}x\\\\(4)(2x)-(3)(3)=60+(2)(5x)\\\\8x-9=60+10x\qquad\text{add 9 to both sides}\\\\8x-9+9=60+9+10x\\\\8x=69+10x\qquad\text{subtract}\ 10x\ \text{from both sides}\\\\8x-10x=69+10x-10x\\\\-2x=69\qquad\text{divide both sides by (-2)}\\\\x=-\dfrac{69}{2}$

7 0

4 years ago

Help neeed help please

anyanavicka [17]

reflection and translation.

Given:

The different transformation in the options.

To find:

The transformation that would result in the perimeter of a triangle being different from the perimeter of its image.

Solution:

In option 1,

$(x,y)\to (y,x)$

It represents reflection across the line y=x.

In option 2,

$(x,y)\to (x,-y)$

It represents reflection across the x-axis.

In option 3,

$(x,y)\to (4x,4y)$

It represents dilation by scale factor 4 and the center of dilation is at origin.

In option 4,

$(x,y)\to (x+2,y-5)$

It represents translation 2 units right and 5 units down.

We know that the reflection and translation are rigid transformations, It means the size and shape of the figure remains the same after transformation.

So, the perimeter of the figure and its image are same in the case of reflection and translation.

But dilation is not a rigid transformation. In dilation, the figure is similar to its image. So, the perimeter of the figure and its image are different in the case of dilation.

Therefore, the correct option is 3.

8 0

3 years ago

3(3-y)+1=31 What’s the solution to “Y”?

laila [671]

3(3-y)+1=31
9-3y+1=31
10-3y=31
-3y=31-10
-3y=21
y=-21/3 = -7

the solution is y=-7

4 0

3 years ago

The airport security randomly selected 36 suitcases from the security line. Of these bags, they screened 8 suitcases. Based on t

castortr0y [4]

The ratio of suitcases to screened suitcases is 36:8. The second ratio is 180:?.

--

180 is 5 times 36 which can be proven by dividing 180 by 36.

180 ÷ 36 = 5

Multiply 5 by 8 to find the amount of suitcases that would be screened if there were 180 total suitcases.

5 × 8 = 40

The first ratio is 36:8, and with a scale factor of 5 we get the second equivalent ratio 180:40.

<h2>Answer:</h2>

Forty suitcases will be screened.

I hope this helps :)

4 0

3 years ago

What is the value of 8 + 29 - 7 when g = 5?

Cloud [144]

Answer:

which one is it id,k

Step-by-step explanation:

if its 8g+29-7 then it would be 62

if its 8+29g-7 then it would be 146

if its 8+29-7g then it would be 3

6 0

3 years ago