The steps below show the solution to the equation LaTeX: 3\left(x-2\right)=2\left(x-3\right)3 ( x − 2 ) = 2 ( x − 3 ). Order the reasons for the steps.

LaTeX: 3\left(x-2\right)=2\left(x-3\right)3 ( x − 2 ) = 2 ( x − 3 )

LaTeX: 3\left(x\right)+3\left(-2\right)=2\left(x\right)+2\left(-3\right)3 ( x ) + 3 ( − 2 ) = 2 ( x ) + 2 ( − 3 )
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LaTeX: 3x-6=2x-63 x − 6 = 2 x − 6
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LaTeX: 3x-2x=-6+63 x − 2 x = − 6 + 6
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LaTeX: x=0x = 0

The total numbers of sections are 16.

Step-by-step explanation:

Given:

Number of boys in school = 576

Number of girls in school = 448

To find: Total Number of sections such that each section has either boys or girls.

Height Common Factor ( HCF ) of both number gives the number of students in a section.

HCF of 576 and 448

576 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3

448 = 2 × 2 × 2 × 2 × 2 × 2 × 7

HCF = 2 × 2 × 2 × 2 × 2 × 2 = 64

Number of sections of Boys = 576/64 = 9

Number of sections of girls 448/64 = 7

Total Number of sections = 9 + 7 = 16

Therefore, The total numbers of sections are 16.

Answer: Volume of a sphere = 4/3 * pi * r^3       r = radius of sphere      pi~ 3.14

Step-by-step explanation: If you use the radius in inches, your result will be in cubic inches (in^3)

The amount of water in cubic inches, that Mya's exercise ball will hold is 904.779 in³.

The volume of a sphere is the volume of space occupied by a sphere.  It is given by the formula:

[tex]\text{Volume of Sphere} = \dfrac{4}{3}\pi r^3[/tex]

As it is given that the diameter of Mya's ball is 12 inches, also we know that the volume of a sphere is given by the formula,

[tex]\text{Volume of Sphere} = \dfrac{4}{3}\pi r^3[/tex]

As we know that the diameter of Mya's ball is 12 inches, therefore, the radius of Mya's ball can be written as,

[tex]\rm Radius = \dfrac{Diameter}{2} = \dfrac{12\ in}{2} = 6\ in.[/tex]

Now, if we substitute the value of the radius of Mya's ball in the formula of the volume of the ball,

[tex]\rm \text{Volume of Ball} = \dfrac{4}{3}\times \pi \times 6^3 = 904.779\ in^3[/tex]

Hence, the amount of water in cubic inches, that Mya's exercise ball will hold is 904.779 in³.

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Answer:

Yes

Step-by-step explanation:

-1 = -1

(-1)(-1) = 1

(-1)(-1)(-1)= -1

Answer:

-1 x -1 x -1

= +1 x -1

= -1

Step-by-step explanation:

Please mark me as the brainliest

Answer:

XY= 12

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

b is the correct answer

Answer:

272cm squared

Step-by-step explanation:

figure a, a traingle... to find area formula is

1/2×b×h

1/2×18×17

153

figure b, it's rectangle.so length×width

=7×17

=119

area of the shape=153+119

=272cm squared

Answer:

D.    272 cm²

Step-by-step explanation:

will make it easy and short

use the area of a trapezoid = (a + b) * h/2

where a = 25,  b = 7,  h = 17

Area = (25 + 7) * (17/2)

Area = 32 * 8.5

Area = 272 cm²

Answer:

The situation is that; the parking lot has 64 cars at the end of the day

Step-by-step explanation:

Given

Initial Number of cars = 16

Additional Cars = 48

Required

Determine the situation for the day

From the question, we understand that no car left the park;

This implies that

[tex]Number\ of\ cars = Initial\ Cars + Additional\ Cars[/tex]

[tex]Number\ of\ cars = 16 + 48[/tex]

[tex]Number\ of\ cars = 64[/tex]

So, the situation is that; the parking lot has 64 cars at the end of the day

Answer:

no.

Step-by-step explanation:

let's use apples for this example. if you have 3/2 of an apple that means you actually have one full apple and one apple cut in half since 3/2 is also equal to 1 and 1/2. but 2/3, on the other hand, means you have 2 of 3 sections of 1 apple.

Answer:

no they are not

Step-by-step explanation:

use an equivalent fraction calculator on google to find fractions equivalent!

Answer:

Step-by-step explanation:

1. Define unknowns:

2. Make system of equations:

3. Multiply both sides of first equation by 6.4:

4. Subtract first equation from second one:

Answer:

21 packets bought, 10 packets free

Step-by-step explanation:

Answer: A. -5x-24

Step-by-step explanation:

 3(2x-8)-11x

=6x-24-11x

=6x-11x-24

=-5x-24

Hope this helps!! :)

Please let me know if you have any question

Answer:

x=-2

Step-by-step explanation:

Combine like terms:

10- 2x - 7 - 8x = 5

10-(-7)=10+7=17

2x-8x=-6x

17-6x=5

-17     -17

6x=-12

÷6   ÷6

x=-2

Answer:

-10x=2 so x=-5

Step-by-step explanation:

Answer:

(0,80) (5,40)

Step-by-step explanation:

edge2020

Two points on the side view of a waterslide are (0,80) and (5, 40)

Graphs are used to visualize the relationship between datasets and variables

From the graph, we have the following coordinates

(0,80), (5,40), (10,20), (15, 10) and (20, 0)

Hence, two points on slide are (0,80) and (5, 40)

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Answer:

B. (-2,-1)

Step-by-step explanation:

A continuous function is one that do not discontinue, and a little change in its input has no effect on its result. This is one major difference between continuous and discontinuous functions. Both functions has major applications in calculus.

The turning point of a function can be obtained by determining where  it is increasing or decreasing.

In the given question, though there is no detailed information about the continuous function, but the probable turning point is (-2, -1).

Answer:

(–2, –1)

Step-by-step explanation:

Answer:

30

Step-by-step explanation: 270 divided by 9

hope it helps

Answer:

[tex] \boxed{\sf x = \frac{13}{5} } [/tex]

Given:

(x + 4):(3x + 1) is the duplicate ratio of 3:4

To Find:

Value of x

Step-by-step explanation:

[tex] \sf Solve \: for \: x: \\ \sf \implies (x + 4) : (3x + 1) = 3 : 4 \\ \\ \sf Convert \: ratios \: to \: fractions: \\ \sf \implies \frac{x + 4}{3x + 1} = \frac{3}{4} \\ \\ \sf Cross \: multiply: \\ \sf \implies 4(x + 4) = 3(3x + 1) \\ \\ \sf Expand \: out \: terms \: of \: the \: left \: hand \: side: \\ \sf \implies 4x + 16 = 3(3x + 1) \\ \\ \sf Expand \: out \: terms \: of \: the \: right \: hand \: side: \\ \sf \implies 4x + 16 = 9x + 3 \\ \\ \sf Subtract \: 9 x + 16 \: from \: both \: sides: \\ \sf \implies - 5x = - 13 \\ \\ \sf Divide \: both \: sides \: by \: - 5: \\ \sf \implies x = \frac{13}{5} [/tex]

Answer:

H = 8 + 3t

Step-by-step explanation:

H = height

t = time in months

H = 8 + 3t

H is the height at and given time. 8 is the initial height and since it grows 3 in a month it would be 3 times how ever many months have passed.

For example after 6 months

t = 6

H = 8 + 3 (6)

H = 8 + 18

H = 26in

Answer:

Attachment 1 :-   x = 3/2

Attachment 2 :-  m + r = 154°

Step-by-step explanation:

Attachment 1 :-

[tex]9^(^2^-^x^) = 3\\=> 3^2^(^2^-^x^) = 3\\[/tex]

As the base 3 is same on both the sides , cancel the base 3 from both left & right side of eqn. After that we will get:-

[tex]2(2 - x) = 1\\=> 2 - x =\frac{1}{2} \\=> x = 2 - \frac{1}{2} = \frac{3}{2}[/tex]

Attachment 2 :-

PQR is a straight line . It's given that m + n = 110°

But we know that m + n + r = 180° ..............eqn.1

So substituting the value of m+n in eqn.1 gives :-

m+n+r = 180°

=> r + 110° = 180°

=> r = 180° - 110°

       = 70°

It's also given that n+r = 96°

So putting the value of r in the above gives ,

n+r = 96°

=> n + 70° =96°

=> n = 96° - 70°

        = 26°

Putting the value of n in eqn.1 gives

m + n = 110°

=> m + 26° = 110°

=> m = 110° - 26°

        = 84°

So m + r = 84° + 70° = 154°

Answer:

$9600.72

Step-by-step explanation:

Area of the field = length × width

Length = 1,021 feet

Width= 725 feet

Area of the field = length × width

= 1,021 feet × 725 feet

= 740,225 square feet

One bag covers 1000 square feet

There are 740,225 square feet

Find the number of bags that will cover the total of 740,225 square feet

Total bags = 740,225 / 10000

=740.225 bags

A bag cost $12.97

Total cost of 740.225 bags= 740.225 × 12.97

= $9600. 71825

Approximately

$9600.72

Answer:

67 inches

Step-by-step explanation:

Since the question is asking how many inches total do you have, we need to add up the 2 values given:

39 inches + 28 inches = 67 inches.

We can convert this to feet by dividing by 12:

67 in /12 in/ft ≈ a little over 5 and a half feet

Answer and Step-by-step explanation:

Areas of mathematics, and give a precise definition of each.

Sol: importance: mathematics can be tricky, so precise definitions are essential. Without them, there can be confusion, which will generate the wrong answer more often than not.  It teaches the students exactly how to use formulas and under what condition a mathematical statement is true.

Some words related to geometry that are quite hard to define precisely are the line, the plane, and the point. In mathematics, the unit square is area one and any other shape.

Answer:

-2x² - 16x + 4

Step-by-step explanation:

Step 1: Write out expression

6x² - 9x + 3 - (8x² + 7x - 1)

Step 2: Distribute negative

6x² - 9x + 3 - 8x² - 7x + 1

Step 3: Combine like terms (x²)

-2x² - 9x + 3 - 7x + 1

Step 4: Combine like terms (x)

-2x² - 16x + 3 + 1

Step 5: Combine like terms (constants)

-2x² - 16x + 4

Answer:

-2(x^2=8x-2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

s + at = F

at = F - s

t = (F - s)/a

x/a + y/b = 1

x/a = 1 - y/b

a(x/a = 1 - y/b)

x = a - ay/b

To find the cost of planting grass , we have to find area of the field.

Area of field = Length × Breadth

[tex]{= 300×170}[/tex]

[tex]{=51000 sq. m}[/tex]

Now convert into hectare.

1 hectare = 10000m sq.

51000 / 10000

So area field = 5.1 hectare sq.

Now cost = 5.1 x 0.80 p

[tex]{= 0.408 p}[/tex]

Answer:

50sq cm

Step-by-step explanation:

You have to divide the shape into two rectangles. You get a 4x8 and a 3x6.

So then you have 32sq sm and 18sq cm. Add them up and you get 50sq cm.

Answer:

i don't know

Step-by-step explanation:

An equation is formed of two equal expressions. The value of x in the given equation is equal to 6.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given equation can be solved for x as shown below.

7x = 42

Divide both the sides of the equation by 7,

7x / 7 = 42/ 7

Simplifying both sides of the equation,

x = 6

Hence, the value of x in the given equation is equal to 6.

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Answer:

-8/5 + 2x = y

Step-by-step explanation:

-8=-10x + 5y

Add 10x to each side

-8+10x=-10x+10x + 5y

-8+10x = 5y

Divide each side by 5

-8/5  + 10x/5 = 5y/5

-8/5 + 2x = y

[tex]\sf\dashrightarrow -8=-10x + 5y [/tex]

[tex]\sf\implies -8=5(2x+y)[/tex]

[tex]\sf\implies \dfrac{-8}{5}=-2x+y [/tex]

[tex]\sf\implies \dfrac{-8}{5}+2x=y[/tex]

[tex]\large{\boxed{\bf{ \star\:\: \dfrac{-8}{5}+2x=y\:\: \star }}}[/tex]