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:

Both angles are equal because they are corresponding so:

2x + 5 = 3x - 7

2x + 12 = 3x

x = 12

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 .

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.

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Answer:

x=19

Step-by-step explanation:

work shown either above or below

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].

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Answer:

t= i/pr

Hope this helps!!!!!!!!

Answer:

x(7 - x)

Step-by-step explanation:

Given

7x - x² ← factor out x from both terms

= x(7 - x) ← in factored form

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]

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:

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:

[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:

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:

74.22

Step-by-step explanation:

52.39+21.83=74.22

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:

-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

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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.

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Answer:

No

Step-by-step explanation:

Answer:

yes because it is being multiplied by N

Answer:

Step-by-step explanation:

i'd say either 29 1/6 or 32.53

Answer:

-45i

Step-by-step explanation:

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

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:

-7f

Step-by-step explanation:

move -7 to the left of f

Answer:

$26.60

Step-by-step explanation:

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:

Pretty sure it's (4, -5)

Step-by-step explanation:

If not, shoot me I guess.

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!

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