Solve each of these equations. Explain or show your reasoning.

2b+8−5b+3=-13+8b−5
2x+7−5x+8=3(5+6x)−12x
2c−3=2(6−c)+7c

Answer:

Let's see

Step-by-step explanation:

Two triangles are same ∆1 and ∆2

They have same height and breath

Now ∆1= ∆2

=> ar(∆1)= ar(∆2)

The same is for quadrilaterals

The position of point A of the triangle is -4 units from the x-axis.

A coordinate plane is a 2D plane created by the junction of the x-axis and y-axis, two perpendicular lines. A coordinate system in geometry is a way to use one or more integers or coordinates to determine the positions of the points.

Here in the given diagram, there is a triangle ABC. The coordinates of the vertex of the triangle are,

A ( -4,2 )

B ( 1, -5 )

C ( 3,1 )

The distance of point A from the x-axis is -4 units.

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Answer:

Man wf

Step-by-step explanation:

Answer:

CGIA

Step-by-step explanation:

C is the first line, G is the second, I is the third, and A is the fourth.

I graphed it all. If I helped you, give me brainliest

Answer:

Step-by-step explanation:

Let the number be x

Answer:

1.08

Step-by-step explanation:

Answer:

x + 3y =21 equation 1

let the equation perpendicular to X + 3y = 21 be

3x - y + k = 0 equation 2

since the point ( 1 , -3 ) passes through equation 3x - y +k =0

3× 1 - (-3) + k = 0

or, 3 + 3 + k = 0

or, 6 + k =0

or, k = -6

now,

putting the value of k in equation 2

3x - y + k = 0

or, 3x -y -6=0

Answer:

$1.23

Step-by-step explanation:

divide 8.61 by 7 binders to get the final answer of $1.23

Answer: 132 hamburgers and 30 sodas

Step-by-step explanation:

x= Number of hamburgers

y= Number of sodas

1 x + 1 y = 102

1 x -1 y = 30

Eliminate y

Add the two equations

2 x = 132

/ 2

x = 66

plug value of x in (1)

1 x + 1 y = 102

132 + y = 102

y = 102 -132

y = 30

y = 30

x= 132 Number of hamburgers

y= 30 Number of sodas

Answer:

Hotdogs=36

Sodas=66

Step-by-step explanation:

X-Hotdogs

Y-Sodas

Y-30=X

Y+X=102

New equation: 102-X-30=X

Add X to both sides

102-30=2x

x=36

y=66

Answer:

18

Step-by-step explanation:

72% of 25 is 18.

Hope this helped! :)

Answer:

n = 0.38 rotation per second

Step-by-step explanation:

The device rotates according to the mathematical equation :

[tex]n=\dfrac{g^{0.5}}{2\pi r^{0.5}}[/tex] ...(1)

Where n is the rotational speed and is measured in rotations per second (s).

r is radius of the circulator and is measured in meters (m).

We need to find the rotational speed when radius is 1.7 m. Put r = 1.7 m in equation (1).

[tex]n=\dfrac{(9.8)^{0.5}}{2\pi \times (1.7)^{0.5}}\\\\=0.38\ \text{rotations per second}[/tex]

Hence, the rotational speed is 0.38 rotation per second.

Answer:

She saved 90 dollars and she owes her brother 40 still.

Step-by-step explanation:

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5) Go....

[tex]17 = 4x + 1[/tex]

[tex]4x + 1 = 17[/tex]

Subtract sides 1

[tex]4x + 1 - 1 = 17 - 1[/tex]

[tex]4x = 16[/tex]

Divide sides by 4

[tex] \frac{4x}{4} = \frac{16}{4} \\ [/tex]

[tex]x = 4[/tex]

_________________________________

6) Go...

[tex]2x - 2 = 16[/tex]

Add sides 2

[tex]2x - 2 + 2 = 16 + 2[/tex]

[tex]2x = 18[/tex]

Divide sides by 2

[tex] \frac{2x}{2} = \frac{18}{2} \\ [/tex]

[tex]x = 9[/tex]

_________________________________

7) Go...

[tex]95 = 7x + 18[/tex]

[tex]7x + 18 = 95[/tex]

Subtract sides 18

[tex]7x + 18 - 18 = 95 - 18[/tex]

[tex]7x = 77[/tex]

Divide sides by 7

[tex] \frac{7x}{7} = \frac{77}{7} \\ [/tex]

[tex]x = 11[/tex]

_________________________________

8) Go...

[tex]78 + 9x - 6 = 180[/tex]

[tex]9x + 72 = 180[/tex]

Subtract sides 72

[tex]9x + 72 - 72 = 180 - 72[/tex]

[tex]9x = 108[/tex]

Divide sides by 9

[tex] \frac{9x}{9} = \frac{108}{9} \\ [/tex]

[tex]x = 12[/tex]

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Answer: 42 gallons

Step-by-step explanation:

1,260/180 = 7

Per 180 mile = 6 gallon

7x6=42

Answer:

Using the equation ŷ = 5.4 + 1.7x, we can say that if x is 1.2, the predicted value will be 7.44.

Step-by-step explanation:

y=5.4+1.7(1.2)

Multiply 1.7 and 1.2 to get 2.04.

y=5.4+2.04

Add 5.4 and 2.04 to get 7.44.

y=7.44

There you go!

(Sources cited from Microsoft Math Solver.)

9514 1404 393

Answer:

  3, 0, 2, -2

Step-by-step explanation:

Put x=2 into each equation and solve for y.

2 + y = 5

  y = 5 -2

  y = 3

3x +2y = 6

  3·2 +2y = 6

  2y = 6 -6 = 0

  y = 0

2x +y = 6

  2·2 +y = 6

  y = 6 -4

  y = 2

5x +3y = 4

  5·2 +3y = 4

  3y = 4 -10 = -6

  y = -2

Answer:

If they work together, they will take 6.16 days.

Step-by-step explanation:

Elsa takes 14 days to complete the work.

So, 1 day work by Elsa is [tex]\frac{1}{14}[/tex]

Anna takes 11 days to complete the work.

So, 1 day work by Anna is [tex]\frac{1}{11}[/tex].

So, Let if they work together, it would take x number of days.

So, we can set up equation as

[tex]\frac{1}{14} +\frac{1}{11}=\frac{1}{x}[/tex]

Find LCD, which is 154.

[tex]\frac{11}{154} +\frac{14}{154} =\frac{1}{x}[/tex]

Simplify

[tex]\frac{25}{154} =\frac{1}{x}[/tex]

Cross multiply,

25x=154

Divide both sides by 25

x=6.16 days

If they work together, they will take 6.16 days.

Answer:

6

Step-by-step explanation:

There is 1 cup of cream for every 2 cups of chocolate. That means there are 3 cups of cream and 6 cups of chocolate. Each cup of cream = 2 cups of chocolate, so you would do 3*2 which equals 6

6 + 3 = 9

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

4/8

Step-by-step explanation:

Answer:

Pie remaining = 1/2 (simplified form of 4/8)

Step-by-step explanation:

Pie = 1 = 8/8 (cut into 8 peices)

Pie ate = 4/8

Pie remaining = 4/8 (8/8 - 4/8)

7/36

[tex]\frac{1}{6} /\frac{6}{7}=\frac{1}{6}*\frac{7}{6}=\frac{7}{36}[/tex]

Answer:

its 160 miles

Answer:

-5/36

Step-by-step explanation:

-1*5 = -5

6*6 = 36

-5/36

Answer:

(-3,9)

Step-by-step explanation:

The given triangle is a right triangle because it agrees Pythagoras theorem.

In the given triangle, the shorter lengths are 12 and 16.

The sum of square of shorter lengths:

[tex]= 12^2 + 16^2[/tex]

[tex]=144+256[/tex]

[tex]=400[/tex]

The longer length is 20.

Square of the longest length is [tex]20^2.[/tex]

[tex]20^2 = 20 \times 20[/tex]

=400

The sum of squares of shorter lengths is equal to Square of the longest length which obeys Pythagoras theorem.

400 = 400

As this is agreeing Pythagoras theorem it is a right angle triangle.

Hence, option B is correct. right triangle.

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Answer:

Step-by-step explanation:

From the scatter plot given in the attachment,

a). Line of best fit will pass through two points (0, 10) and (4, 0)

   Let the equation of the line is,

   y = mx + b

   m = slope of the line

   b = y-intercept

   Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

   m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{10-0}{0-4}[/tex]

   m = -2.5 inches per hour

   y-intercept = 10 inches

   Therefore, equation of the line will be, y = -2.5x + 10

b). Since, Nicolas started measuring the height of the ice sculpture at x = 0

    One hour before the start of the observations means x = (0 - 1) = -1

    From the given equation,

    y = -2.5(-1) + 10

       = 2.5 + 10

       = 12.5 inch