What is the justification for each step in the solution of the equation?

5x−4/2=2x−1
Select from the drop-down menus to correctly justify each step.

5x−42=2x−1 Given
5x−4=2(2x−1) Choose...
5x−4=4x−2 Choose...
5x=4x+2 Addition or Subtraction Property of Equality
x=2 Choose...
Options
Addition or subtraction property of equality
Multiplication or division property of equality
Distributive property of equality
Combine like terms
The "/" Is for a fraction.

Answer:

Step-by-step explanation:

Answer:

After 7 months, the girls will have the same amount in their accounts. They will have 175.

Step-by-step explanation:

Maria:

Starts with $105

Adds $10 each month

Jana Rae:

Starts with $0

Adds $25 each month

Set up an equation for both Maria and Jana.

m will represent the number of months.

Maria: 105 + 10m

Jana: 0 + 25m

You can do guess and check.

Let’s say m is equal to 6.

Subsitute m with 6 for both equations and check if they both end up having the same answer.

Maria: 105 + 10(6) = 165

Jana: 0 + 25(6) = 150

Is 165 and 150 equivalent? No

Let’s try m = 7 and do that same thing.

Maria: 105 + 10(7) = 175

Jana: 0 + 25(7) = 175

Now is the answer equal? Yes

So therefore, after 7 months, the girls will have the same amount in their accounts. They will have 175.

Hope this helps! Pls mark me brainliest! (only if u want, I won’t mind if u don’t)

Step-by-step explanation:

=>4x²-8x+3

=> 4x²-2x-6x+3

=> 2x(2x-1)-3(2x-1)

=>(2x-1)(2x-3).

hope this helps you.

Answer:

x = 4

y = 2

Step-by-step explanation:

the third angle of the triangle

180 - (148 + 18) = 14º

Therefor

3x + y = 14

5x - y = 18

Add the equations

8x = 32

Divide both sides by 8

x = 4

Plug in x = 4

3(4) + y = 14

12 + y = 14

y = 2

9514 1404 393

Answer:

  (x, y) = (4, 2)

Step-by-step explanation:

The triangles are similar by AA similarity, so the corresponding angles are congruent.

  5x -y = 18 . . . . . . unmarked angles are congruent

  18 +(3x+y) +148 = 180 . . . . . sum of angles in a triangle is 180°

__

After subtracting 166 from both sides, the second equation simplifies to ...

  3x +y = 14

Adding this to the first equation gives ...

  8x = 32

  x = 4 . . . . . . divide by 8

Then substituting for x in the first equation gives ...

  5(4) -y = 18

  20 -18 = y = 2

The values of the variables are x = 4, y = 2.

_____

The angle marked with a double mark is 14°, given by the simplified second equation.

Answer:

x = 1 , y = 4

Step-by-step explanation:

I am assuming you're looking for what x and y are? If so, then we know that

DC and AB equal each other, so

4x + y = 8

CB and AD equal each other, so

2x + y = 6

We have two equations that cannot be solved on their own, so we must solve them as a system of equations. One process to solve is elimination.

4x + y = 8

2x + y = 6

we can multiply the second equation all by -1 to make the y's cancel out and give us x. so,

4x + y = 8

-1(2x + y) = 6

4x + y = 8

-2x -y = -6

now solve them vertically. we get:

2x = 2

and so x = 1.

Now that we found x, we must find y. Using any of the two equations froom above, we can substitue our x value of 1 into it to find y. I will use the first one.

4x + y = 8

4(1) + y = 8

4 + y = 8

y = 8 - 4

y = 4

so our x is 1 and y is 4.

hope this helps! (:

Answer:

3128, 5024, 9000

Step-by-step explanation:

3128÷8=391; 5024÷8=628; 9000÷8=1125

Answer:

7/10 - 3/7 - 1/5

Step-by-step explanation:

3/7-7/10-1/5

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

Answer:

n-12= number of cookies left

Answer:

y=n-12

Step-by-step explanation:

y= how many cookies are left

n = number of cookies

-12 = how many his friends ate

Answer:

Parallel: y=2x+3

Perpendicular= 1/2x+6

Answer:

-7 = -7

a. infinite solution

Answer:

x=35/4

Step-by-step explanation:

20x +5=180

20x=180-5

20x=175

x=175/20=35/4

Answer:

[tex]x=8.75[/tex]

Step-by-step explanation:

[tex]8x-6+11+12x=180~(Given)\\\\20x+5=180~(Simplify)\\\\20x+5-5=180-5~(Subtract~5~on~both~sides)\\\\20x=175~(Simplify)\\\\\frac{20x}{20}=\frac{175}{20}~(Divide~20~on~both~sides)\\\\x=8.75[/tex]

Answer:

Step-by-step explanation:

Slope = m = -1/4

y-intercept = b = 5

Slope intercept form = y = mx +b

[tex]y =\dfrac{-1}{4}x+5[/tex]

Answer:

7 43/100

Step-by-step explanation:

4*1 6/7=4 24/7 which equals 7.43, or 7 43/100

Answer:

7 3/7

Step-by-step explanation:

4 * 1 6/7

1 = 7/7, so 1 6/7 = 7/7 + 6/7 = 13/7

4 * 13/7 = 52/7

7 can fit into 52 at most 7 times (because 7*7 is 49, and less than 52)

This leaves us with 3 left over

4 * 1 6/7 = 7 3/7

Answer:

YASSSSSSSS

Step-by-step explanation:

Answer:

dnbdjdndh hdhdhbdjf

xnxnxnnxnxnfnf

ndndndndjf

Answer:

[tex]\boxed{\sf x=-15}[/tex]

Step-by-step explanation:

[tex]\sf 10=x+25[/tex]

[tex]\sf x+25=10[/tex]

[tex]\boxed{\mathrm{Subtract\:}25\mathrm{\:from\:both\:sides}}[/tex]

Answer:

x = -15

Step-by-step explanation:

In the wοrd prοblem, He need 27 albums fοr tοtal trading cards.

Wοrd prοblems are οften described verbally as instances where a prοblem exists and οne οr mοre questiοns are pοsed, the sοlutiοns tο which can be fοund by applying mathematical οperatiοns tο the numerical infοrmatiοn prοvided in the prοblem statement. Determining whether twο prοvided statements are equal with respect tο a cοllectiοn οf rewritings is knοwn as a wοrd prοblem in cοmputatiοnal mathematics.

Here the given Tοtal number οf cards = 972

Number οf cards each album hοld = 36

Nοw ,Tοtal number οf album

=> Tοtal number οf card / Number οf cards each album hοld

=> 972/36

=> 27.

Hence He need 27 albums fοr tοtal trading cards.

To learn more about word problem

https://brainly.com/question/21405634

#SPJ1

If his measurement of the width of the soccer field was 63m , the width of Musi's drawing for a 63 m wide soccer field is 21 mm.

Musi's ruler represents 1 mm as 3 m on the soccer field. To find the width of his drawing for a 63 m wide soccer field, we can set up a proportion to relate the real width to the width on his drawing.

Let "x" represent the width of his drawing in millimeters.

The proportion can be set up as follows:

1 mm (on the drawing) / x mm (real width on the field) = 3 m (on the drawing) / 63 m (real width on the field)

Now, cross-multiply and solve for "x":

1 * 63 m = 3 * x mm

63 = 3x

Divide both sides by 3 to find the width of his drawing:

x = 63 / 3

x = 21

So, the width of Musi's drawing for a 63 m wide soccer field is 21 mm.

In summary, Musi used a scale of 1 mm to represent 3 m on the soccer field. Therefore, the width of his drawing for a 63 m wide soccer field is 21 mm.

To learn more about scale click on,

https://brainly.com/question/28720090

#SPJ4

Answer:

2x+94

Step-by-step explanation:

because 2x means 2×x +94

x= unknown number

+=increase

[tex]{{ \large{ \blue{ \rm{{↬}}}}}} \large \rm \: \: 5x \: = \: 20[/tex]

[tex]{{ \large{ \blue{ \rm{{↬}}}}}} \large \rm \: \: x \: = \: \cancel\frac{20}{5} \\ [/tex]

[tex]{{ \large{ \blue{ \rm{{↬}}}}}} \large \rm \: \: x \: = \: 4[/tex]

[tex] \mapsto \rm \: 5x = 20[/tex]

[tex] \mapsto \rm \: x = \cancel\frac{20}{5} \\ [/tex]

[tex] \red \mapsto \ \boxed{ \rm \red { = 4}}[/tex]

Answer:

1. Enlarge, Shrink

2. Smaller

3. Bigger

Step-by-step explanation:

Dilation is something expanding or shrinking, like how your eyes dilate.

Simply think of the scale factor as what you are multiplying the entire figure by. If you are multiplying it by let's say 2, it would double in size, thus getting larger. If you were to multiply it by 1/2, then it would decrease, or shrink, to half its original size.

Answer:

1: enlarge, shrink

2: smaller

3: bigger

Hope this helps! SO sorry if incorrect!!!!!!

Answer: (2, -3)

Step-by-step explanation:

To find the the answer, you will need to use the midpoint formula, which is as following:

(x₁+x₂/2, y₁+y₂/2)

Since we have two coordinates, let's substitute them into the equation.

(7 + (-3 )/ 2, (-4) + (-2)/2)

We should first add 7 and -3 together, as well as -4 and -2.

(4/2, -6/2)

We then divide 4 and -6 by 2. This would give us our midpoint coordinate.

(2, -3)

Answer:

0

Step-by-step explanation:

( x1, y1 ) = ( - 4, - 2 )

Here,

x1 = - 4

y1 = - 2

( x2, y2 ) = ( - 4, 22 )

Here,

x2 = - 4

y2 = 22

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope

= ( 22 - ( - 2 ) ) / ( - 4 - ( - 4 ) )

= ( 22 + 2 ) / ( - 4 + 4 )

= 24 / 0

= 0

Answer:

X = 6 see below

Step-by-step explanation:

-5x + 13 = - 17

Step One:

subtract 13 from each side

-5x = - 30

Step two:

divide each side by - 5

x = 6

Answer:

y=88 x=42

Step-by-step explanation:

Since the total measurments of one triangle have to equal 180 and one angle is already 50, and the angle on the oppisite side of the y angle is 90 the only logical number for y would be 88. Hope this helped :)

Answer:

None

Step-by-step explanation:

It would be easier to ask your teacher instead of getting wrong answers from random people. Ever think of that :0

Answer:

Hello,

Here is the answer,

After rotating your graph would look like this with P being at (1, -2) and C still being at (-2, 5). The Upper point is C the lower point is P

Step-by-step explanation:

Answer:

x < -8/21

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Add 3x to both sides.

Step 3: Subtract 10 from both sides.

Step 4: Multiply both sides by 2/21.

Therefore, the answer is x < -8/21.