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4 years ago

5x-10y+15z find the equivalent expression by factoring

Mathematics

1 answer:

Marat540 [252]4 years ago

5 0

$\huge\boxed{5(x-2y+3z)}$

We can divide each term by a factor of $5$ . $5(1x-2y+3z)$

You don't need a coefficient of $1$ , so simplify that. $\boxed{5(x-2y+3z)}$

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What is the value of a in the equation a = 2 + 3a + 10?

xxTIMURxx [149]

Answer:

a= -6

Step-by-step explanation:

Given

a=2+3a+10

In order to find the value of a, we have to isolate a on a single side of the equation

So,

subtracting 3a from both sides

a-3a = 2+10+3a-3a

=>a-3a=12

=> -2a = 12

Dividing both sides by -2

=> -2a/-2 = 12/-2

=> a = -6

The value of a in the given equation is -6 ..

3 0

3 years ago

Solve the inequality.<br> -8d < 48

slava [35]

The left side−8 is less than the right side48
,which means that the given statement is always true.
True

8 0

4 years ago

the length of a rectagle is 5 in longer than its width. if the perimeter of the rectangle is 58 in, find its length and width

dolphi86 [110]

Answer:

Length = 17 inches

Width = 12 inches

⠀

Step-by-step explanation:

⠀

As it is given that, the length of a rectangle is 5 in longer than its width and the perimeter of the rectangle is 58 in and we are to find the length and width of the rectangle. So,

⠀

Let us assume the width of the rectangle as x inches and therefore, the length will be (x + 5) inches .

⠀

Now, <u>According to the Question :</u>

⠀

${\longrightarrow \qquad { \pmb{\frak {2 ( Length + Breadth )= Perimeter_{(Rectangle)} }}}}$

⠀

${\longrightarrow \qquad { {\sf{2 ( x + 5 + x )= 58 }}}}$

⠀

${\longrightarrow \qquad { {\sf{2 ( 2x + 5 )= 58 }}}}$

⠀

${\longrightarrow \qquad { {\sf{ 4x + 10= 58 }}}}$

⠀

${\longrightarrow \qquad { {\sf{ 4x = 58 - 10}}}}$

⠀

${\longrightarrow \qquad { {\sf{ 4x = 48}}}}$

⠀

${\longrightarrow \qquad { {\sf{ x = \dfrac{48}{4} }}}}$

⠀

${\longrightarrow \qquad{ \underline{ \boxed { \pmb{\mathfrak {x = 12}} }}} }\: \: \bigstar$

⠀

Therefore,

The width of the rectangle is 12 inches .

⠀

Now, We are to find the length of the rectangle:

${\longrightarrow \qquad{ { \frak{\pmb{Length = x + 5 }}}}}$

⠀

${\longrightarrow \qquad{ { \frak{\pmb{Length = 12 + 5 }}}}}$

⠀

${\longrightarrow \qquad{ { \frak{\pmb{Length = 17}}}}}$

⠀

Therefore,

The length of the rectangle is 17 inches .

⠀

8 0

2 years ago

Read 2 more answers

Please answer as many as you can

anzhelika [568]

Answer:

2. is x = -3

Step-by-step explanation:

-3( x - 3) = 12

multiply the things in the () by -3

-3x+9=12

subtract 9 from both sides

-3x+9-9=12-9

-3x=3

divide both sides of the equation by -3

x = -3

4 0

3 years ago

Read 2 more answers

The temperature in degrees Celsius, c, can be converted to degrees Fahrenheit, f, using the equation f-c+32. Which

Basile [38]

It is a function because every Celsius temperature is associated with only one Fahrenheit temperature. Therefore, option B is true.

<h3>How to convert Celsius into Fahrenheit ?</h3>

We are given that the temperature in degrees Celsius C can be converted to degrees Fahrenheit F

We know that the formula

$\dfrac{C}{5} = \dfrac{F - 32}{9}$

If we are substituting c = -40

Then, we get

$\dfrac{C}{5} = \dfrac{F - 32}{9}\\\\\dfrac{-40}{5} = \dfrac{F - 32}{9}\\\\-8 \times 9 = F - 32\\\\F = -72 + 32\\\\F = -40$

For every Celsius temperature, we get only one value of Fahrenheit.

The function is one-one because for every value of Celsius we get a unique value of Fahrenheit.

Hence, it is a function because every Celsius temperature is associated with only one Fahrenheit temperature.

Therefore, option B is true.

Learn more about temperature scale here:

brainly.com/question/2919967

#SPJ1

7 0

3 years ago