Which of the following equations are equivalent to -2m - 5m - 8 = 3 + (-7) + m?

A. -7m - 8 = m - 4
B. -15m = -4m
C. -8 - 3m = 4 - m
D. -8 - 7m = -4 + m
E. m - 4 = -7m - 8
F. -3m - 8 = 4 - m

Answer:

1. Angle 1 congruent to Angle 3, Angle 2 congruent to Angle 4 ( top row last box in answer choices)

2. Reflexive Property of Congruence

3. Angle DGF congruent to Angle DEF

Step-by-step explanation:

Opposite sides of a parallelogram are parallel , so angle 1 ≅ angle 3 and angle 2 ≅ angle 4 because they are alternate interior angles . By the reflexive property of congruence DF ≅ DF . Therefore , △ DGF ≅ △ DEF by the ASA congruence postulate . That means DE ≅GF and DG ≅EF by CPCTC .

Answer:

Step-by-step explanation:

i'd say either 29 1/6 or 32.53

Answer:

[tex]the \: two\: numbes \: are : \\ 7.777 \: and \: - 2.099[/tex]

Step-by-step explanation:

[tex]let \: the \: two \: numbers \: be : x \: and \: y \\ x + y = 5.678.....eq(1) \\ x - y = 9.876 .....eq(2)\\ x = 9.876 + y....from \: eq(2) \\ y = 5.678 - x....frm \: eq(1) \\ eq \:...y \: in \: terms \: o f\: x : \\ x = 9.876 + 5.678 - x \\ 2x = 15.554 \\ x = 7.777 \\ y = 5.678 - x = y = 5.678 - 7.777 \\ y= - 2.099.[/tex]

The annually premium for health insurance will be $2,451.12.

Option A is true.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The health insurance premium is $102.13 each check.

And, We get paid semi-monthly.

Hence, Monthly premium = 2 x $102.13

                                        = $204.26

Since, 1 year = 12 months

Thus, The annually premium = 12 x $204.26

                                            = $2,451.12

So, The annually premium for health insurance will be $2,451.12.

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ2

Answer:

$26.60

Step-by-step explanation:

Answer:

[tex]a =\frac{m+p}{3}[/tex]

Step-by-step explanation:

[tex]3a - p = m[/tex]

→ First plus p to both sides to isolate 3a

[tex]3a = m+p[/tex]

→ Divide both sides by 3 to isolate a

[tex]a =\frac{m+p}{3}[/tex]

Answer:

see explanation

Step-by-step explanation:

Mia is wrong in that she has subtracted p from both sides instead of adding p to both sides.

Given

3a - p = m ( add p to both sides )

3a = m + p ( isolate a by dividing both sides by 3 )

a = [tex]\frac{m+p}{3}[/tex]

Answer:

-45i

Step-by-step explanation:

i is an imaginary number so the answer should be -45i, I hope this helps :)

Answer:

74.22

Step-by-step explanation:

52.39+21.83=74.22

Answer:

D) 8

Step-by-step explanation:

8 x 2.5 = 20

and the rest is adult haircuts

6 x 5 = 30

Answer:

D) 8 Children’s Haircuts

Step-by-step explanation:

Let a represent the amount of adult haircuts and c represent the amount of child haircuts.

We know that she gave exactly 14 haircuts. So:

[tex]a+c=14[/tex]

We also know that she made $50.00. Therefore, the price of each haircut times their respective amounts will total $50. So:

[tex]5a+2.5c=50[/tex]

This is now a system of equations.

We can solve this using substitution. From the first equation, let’s subtract c from both sides:

[tex]a=14-c[/tex]

Now, we can substitute this into the second equation for a. This yields:

[tex]5(14-c)+2.5c=50[/tex]

Distribute:

[tex]70-5c+2.5c=50[/tex]

Combine Like Terms:

[tex]70-2.5c=50[/tex]

Subtract 70 from both sides:

[tex]-2.5c=-20[/tex]

Divide both sides by -2.5:

[tex]c=8[/tex]

Therefore, Kate gave 8 children’s haircuts.

This means that she gave [tex]14-8=6[/tex] adult haircuts.

So, our answer is D. She gave 8 children’s haircuts.

Answer:

W = 9 inches.

Step-by-step explanation:

The volume of a rectangular prism is given by

[tex]V=whl[/tex]

Where

w,h and l re width, height and length of rectangular prism

It is not mentioned that a box has a length of 18 inches and a height of 3 inches.

Using above formula.

[tex]486=w\times 18\times 3\\\\486=54w\\\\w=9\ \text{inches}[/tex]

So, the width of the box is 9 inches.

Answer:

Answer:

t= i/pr

Hope this helps!!!!!!!!

Answer:

x=17/14

Step-by-step explanation:

(7/9)x+2=(5/6)

18 is the least common multiple between 9 and 6, so we can multiply each fraction by 18.

7           18              126

----   *    ------   =     --------    =     14

9            1                9

14x+2=(5/6)

5            18             90

----     *   ------    =   ---------     =     15

6             1                6

14x+2=15

     +2 +2

14x=17

x=17/14

Hope this helps!

Answer:

-2480

Step-by-step explanation:

multiplying a positive and a negative equals a negative. -20 (20x124)

multiply the numbers and -2480 is the answer

Answer:

x=19

Step-by-step explanation:

work shown either above or below

Answer:

Pretty sure it's (4, -5)

Step-by-step explanation:

If not, shoot me I guess.

Answer:

-7f

Step-by-step explanation:

move -7 to the left of f

Answer:

The answer should be -8x

Step-by-step explanation:

You would use distiputive property and multiple four by negitive two and you would end up getting -8x

Answer:

Both angles are equal because they are corresponding so:

2x + 5 = 3x - 7

2x + 12 = 3x

x = 12

Answer:

x(7 - x)

Step-by-step explanation:

Given

7x - x² ← factor out x from both terms

= x(7 - x) ← in factored form

Answer:

the slope of the line is 0

the y-int is -5

there is no x int since the is no slope

sorry about the last one, i forgot what the zero is

Answer:

y = 3

Step-by-step explanation:

Slope = 0/-6 = 0

y-int. = 3

The linear function [tex]f[/tex] with [tex]f(0) = 3[/tex] and [tex]f(-6) = 3[/tex] is [tex]y = 3[/tex].

Given two distinct points on cartesian plane, we can determine the linear function associated to those points as follows:

[tex]y = m\cdot x + b[/tex] (1)

[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] (2)

[tex]b = y_{1}-m\cdot x_{1}[/tex] (3)

If we know that [tex]f(0) = 3[/tex] and [tex]f(-6) = 3[/tex], then we have the linear function below:

[tex]m = \frac{3-3}{0-(-6)}[/tex]

[tex]m = 0[/tex]

[tex]b = 3 - 0\cdot (0)[/tex]

[tex]b = 3[/tex]

The linear function [tex]f[/tex] with [tex]f(0) = 3[/tex] and [tex]f(-6) = 3[/tex] is [tex]y = 3[/tex].

We kindly invite to check this question on linear functions: https://brainly.com/question/19137465

Answer:

-5.1

Step-by-step explanation:

x + 5.1 = 0

   - 5.1   -5.1

 x + 0  =  -5.1

x = -5.1

The value of x is -5.1

Given,

x + 5.1 = 0

We need to find the value of x.

We always keep the required variable on one side and keep all the other variables on the other side of the equation.

Example:

x + b + n = 2 + 2x

We need to find x.

Since we have two x terms

We will keep both the terms on one side.

b+ n - 2 = 2x - x

2x - x = b + n -2

x = b + n - 2 is our x value.

We have,

x + 5.1 = 0

Subtracting 5.2 on both sides.

x + 5.1 - 5.1 = 0 - 5.1

x = - 5.1

Thus the value of x is -5.1

Learn more about how to find the value of x variable in a given expression here:

https://brainly.com/question/17513857

#SPJ2

Step-by-step explanation:

Let's turn that into a linear system:

\{ {{y=0.05x+20} \atop {y=0.25x+10}} .{y=0.25x+10y=0.05x+20.

Set the equations equal to each other and solve:

0.05x+20=0.25x+100.05x+20=0.25x+10

0.2x=100.2x=10

x=50x=50

We then plug in to get yy :

0.25(50)+10=22.50.25(50)+10=22.5

The solution to the system is \{ {{x=50} \atop {y=22.5}} .{y=22.5x=50. .

Now, let's turn our attention to the statements.

The first one is false: Emilia's rate is higher, and the two plans cost the same at 50 texts, after which point Hiroto's plan becomes cheaper!

The second one is also false: we already figured out that the lines intersect at x=50x=50 .

The third statement is also false: as above, the lines intersect at x=50x=50 .

The fourth statement is true: the lines intersect at x=50x=50 .

In conclusion, the fourth statement - "Both plans cost the same when 50 texts are sent" - is true.

Cred to ultroid

Answer:

3/2 = 1 1/2

Step-by-step explanation:

3/4 * 2

Make 2 a fraction

3/4 * 2/1

Rewrite

3/1 * 2/4

3/1 * 1/2

Multiply

(3*1)/(2*1/)

3/2

Changing from a fraction to a mixed number

1 1/2

Answer:

No

Step-by-step explanation:

Answer:

yes because it is being multiplied by N

According to the graph, the number of barrels that the two machines would have filled at about the same time is; Option B; 50 Barrels

We are told that;

- Two machines fill water barrels

- One machine had filled 30 barrels before the faster machine started

- At a certain tile, they would have filled a number of water barrels at about the same time.

Now, from the graph, we see that;

The red line indicates the slower machine while the blue line indicates the faster machine.

From the graph, the number of barrels at intersection point is 50 barrels.

Read more at; https://brainly.com/question/13808262