Step 1: –3x – 5 = 13 Step 2: –3x = 18 Step 3: x = –6 Which sequence describes the inverse operations used for steps 2 and 3 to solve the linear equation?

Answers

Answer 1

Answer:

Apply inverse law

a a⁻¹ = 1

The solution of the given linear equation is x = -6

Step-by-step explanation:

Step(i):-

Given equation -3 x-5=13

Adding '5' on both sides, we get

- 3 x - 5 + 5 = 13  + 5

- 3 x  = 1 8

step(ii):-

apply inverse law

a a⁻¹ = 1

(- 3)(-3)⁻¹ x = 18 (-3)⁻¹

x = 18/-3 = -6

(or)

Dividing '-3' on both sides , we get

                            [tex]\frac{-3 x}{ -3} = \frac{18}{-3}[/tex]

                             x =- 6


Related Questions

2x + 3 = -7
What is the answer?

Answers

2x+3=-7
-3=-7-3=-10
2x=-10
X=-5

Answer:

x = -5

Step-by-step explanation:

Original Equation: 2x + 3 = -7

Subtract 3 from both sides:

2x + 3 - 3 = -7 - 3

Simplify:

2x = -10

Divide both sides by 2:

[tex] \frac{2x}{2} = \frac{ - 10}{2} [/tex]

Simplify:

x = -5

I can collect 1.6 pecks of chile peppers a day. How many liters or peppers could I collect in a week?​

Answers

Answer:

11.2

Step-by-step explanation:

multiply 1.6 by 7 since that's how many days there are in a week

Answer:

11.2

Step-by-step explanation:

you collect 1.6 packs of chile peppers a day there is 7 days in a week 1.6x7=11.2

hope it helps.

A students regular desk is 30 inches long and 18 inches wide. The teachers desk is similar to the student desk and has a length of 50 inches. What is the width of the teachers desk?

Answers

Answer:

Width of Teacher desk = 30 in

Step-by-step explanation:

Given:

Length of student desk = 30 in

Width of student desk = 18 in

Length of teacher desk = 50 in

Find:

Width of Teacher desk

Computation:

Assume,

Width of Teacher desk = x

Teacher desk is similar to student desk

Length of student desk / Width of student desk = Length of teacher desk /  Width of Teacher desk

30 / 18 = 50 / x

x = [(50)(18)] / 30

Width of Teacher desk = 30 in

{3x+y=10
{X-4y=-1 You must solve for Y

Answers

Answer:

x = 3 and y = 1

Step-by-step explanation:

Solve the following system:

{3 x + y = 10

x - 4 y = -1

Express the system in matrix form:

(3 | 1

1 | -4)(x

y) = (10

-1)

Solve the system with Cramer's rule:

x = 10 | 1

-1 | -4/3 | 1

1 | -4 and y = 3 | 10

1 | -1/3 | 1

1 | -4

Evaluate the determinant 3 | 1

1 | -4 = -13:

x = 10 | 1

-1 | -4/(-13) and y = 3 | 10

1 | -1/(-13)

Simplify 10 | 1

-1 | -4/(-13):

x = -1/13 10 | 1

-1 | -4 and y = 3 | 10

1 | -1/(-13)

Simplify 3 | 10

1 | -1/(-13):

x = -(10 | 1

-1 | -4)/13 and y = -1/13 3 | 10

1 | -1

Evaluate the determinant 10 | 1

-1 | -4 = -39:

x = (-1)/13×-39 and y = -(3 | 10

1 | -1)/13

(-1)/13 (-39) = 3:

x = 3 and y = -(3 | 10

1 | -1)/13

Evaluate the determinant 3 | 10

1 | -1 = -13:

x = 3 and y = (-1)/13×-13

(-1)/13 (-13) = 1:

Answer:  x = 3 and y = 1

The distance to the sun in inches is 1.116 x 10^9 How many fireflies would it take to reach the sun if they were put end to end?

show work please ​

Answers

Answer:

THE DISTANCE OF SUB IS 5892480000000IN

1MI=63630 IN

930000000MI=93000000×63360 IN=589248000000IN

X=NUMBER OF FIREFLIES

X=0.4IN=5892480000000IN

X=58924800000000IN×0.4IN

X=147312000000000

Answer:

This is wrong, I used this answer too and it was wrong.

Step-by-step explanation:

Show all work

14 +18 - 2 x 18 -7

Answers

Answer:

-11

Step-by-step explanation:

BIDMAS

(BRACKETS, INDICES, DIVISION, MULTIPLICATION, ADDITION, SUBTRACTION)

14 + 18 - 2 x 18 -7

the first thing we do is the multiplication (since there is no division in this question)

14 +18 − (2)(18) −7

14 + 18 - (36) - 7

32 - 36 - 7 = -11

A number is 2 /5 times another number. Their sum is 70. Find the numbers.

Answers

Answer:

50,20

Step-by-step explanation:

let the two numbers be x and y respectively.

According to the question,

y=2/5 times of x

Or,

y= 2x/5 ..........(1)

Again,

or, x+y=70

or, x+2x/5=70

or, (5x+2x)/5=70

or, 7x=350

therefore x=50

putting the value of y in equation (1)

y=2x/5

y= (2×50)/5

therefore, y=20

Answer:

x = 175

Step-by-step explanation:

given:

A number is 2 /5 times another number. Their sum is 70.

find: the numbers (coefficient)

solution:

cross multiply

2 ( x ) = 70

5

2 (x) = 70 (5)

2 (x) = 350

x = 350

       2

x = 175

check:

2 ( x ) = 70

5

2 ( 175 ) = 70

5

350 = 70

 5

70 = 70

Find the slope of each line defined below and compare their values.
Equation of Line A:
-1=
(x – 6)
Graph of Line B:
10
7
6
5
3
2
-Q-
8-7-6
-5
-3
-2 -1
2
3
4
5
6
8
to
g
-3
The slope of Line A is
and the slope of Line B is
Therefore the slope
of Line A is
the slope of Line B.

Answers

Step-by-step explanation:

The equation of line A:

y - 1 = 0.5x - 3

y = 0.5x - 2. Hence its gradient is 0.5.

For line B, its y intercept is -8, so y = mx - 8.

When x = -4, y = -4m - 8 = 0 as shown in the graph. This means that m = -2.

So the equation of line B:

y = -2x - 8. Its gradient is -2.

Since |-2| > |0.5|, line B is steeper than line A.

The slope of the line A(1/2) > slope of line B(2).

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Take Points from the graph as (-4, 0) and (0, 8)

so, the slope is

m = (8-0)(0-(-4))

m = 8/ 4

m = 2

So, the slope- intercept form

y- 0 = 2(x- (-4))

y= 2x + 8

Hence, the slope of the line A(1/2) > slope of line B(2).

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ2

Cindy brought chocolate and vanilla cupcakes to school for her birthday. 15 students decided to take a cupcake, and 9 of them picked vanilla. What percentage of the students picked a vanilla cupcake?

Answers

Answer:

37.5%

Step-by-step explanation:

There are 24 students that decided to pick a cupcake at all. 9 out of 24 students chose vanilla. Therefore, 37.5% of students chose vanilla.

The largest prime factor of thirty-five is _____. 7 5 9 11

Answers

Answer:

7

Step-by-step explanation:

Since 9 and 11 do not factor 35, they are not the answer.

5 is a factor of 35, but not the largest. So, the answer is 7.

Answer:

the largest prime factor of 35 is 5

Can someone please help me with these practice problems? *URGENT*

Answers

Sorry I want to help but idk how

Pls help me on this question ASAP I wil make the anyone who can answer this for me the brainliest

Answers

Answer:

Forget it, i'm confused

Step-by-step explanation:

(3x+2)+(5x-5)=8x-3

(17x-7)-(8x-3)=9x-10

Double Check

9x-10+5x-5+3x+2

17x-15+2

17x-13

Angie and Kenny play online video games. Angie buys 1 software package and 1 month of gameplay. Kenny buys 2 software packages and 3 months of gameplay. Each software package costs ​$50. If their total cost is ​$218​, what is the cost of one month of gameplay?

Answers

Answer:

The cost of one-month gameplay is $39.33 or 39.

Step-by-step explanation:

Let the cost of one month = x

The cost of software = $50

The total amount that can be spent = $218

Therefore, we have to find the cost of one month of game play. Here is the following equation.

218 = (50 + x) + (50 + 2x)

218 = 100 + 3x

218 – 100 = 3x

118 = 3x

x = 118 / 3

x = 39.33 or 39

thus, the cost of one-month gameplay is $39.33 or 39.

If tn is 2n+3 find t7 t30 and s10​

Answers

Answer:  t₇ = 17     t₃₀ = 63       S₁₀ = 140

Step-by-step explanation:

t₇ = 2(7) + 3

  = 14 + 3

  = 17

t₃₀ = 2(30) + 3

    = 60 + 3

    = 63

S₁₀ = (t₁ + t₁₀)/2 × 10

    = (5 + 23)/2 × 10

    = 28/2  10

    = 14 × 10

    = 140

6. Two trains traveled from opposite
directions on parallel tracks toward
the bullfight town. They started
1,110 km apart at exactly the same
time. Train A's speed was 55 km/h
and Train B's speed was 85 km/h.
Would the trains have
met within 5 hours?

Answers

Answer:

They will not have met

Step-by-step explanation:

Train A will have traveled 275km in 5 hours and Train B will have traveled 425km in 5 hours. This means that they will be 700km closer to one another but still 400km apart

I’m stuck on this question

Answers

Answer:

x= 0.4

Step-by-step explanation:

x^2 = 4/25 (0.16)

x = 0.4                        Square root both sides

Solve for n: 4n = 2n + 6
A. 1
B. 2
C. 3
D. 4
E. 12

Answers

4n-2n=6
2n=6
n=6/2
n=3
Your answer is C. 3

In which graph is y a direct variation of x?
A.
B.
C.
D.

Answers

Answer:

D

Step-by-step explanation:

The line is going through the origin.

Please help with d. Thank you!!

Answers

The correct answer is : 7543

Step by step is below

For Thanksgiving, a family of 9 is trying to share 4 store-bought pies fairly. If each pie is pre-cut into 8 slices, and everyone gets the same number of slices, how many slices will be left over?

Answers

Answer:

5

Step-by-step explanation:

6x+11=3x-1, what is x

Answers

Answer:

[tex]x=-4[/tex]

Step-by-step explanation:

[tex]6x+11=3x-1[/tex]

To solve this equation, we must first minus(subtract) 3x from both sides of the equation.

[tex]6x+11-3x=3x-1-3x[/tex]

And this equals:

[tex]3x+11=-1[/tex]

Now we must subtract again, but 11 times now.

[tex]3x+11-11=-1-11[/tex]

And this equals:

[tex]3x-12[/tex]

Now let's make this into a fraction to divide.

[tex]\frac{3x}{3}[/tex]

We get [tex]\frac{-12}{3}[/tex]

Now we got our answer:

[tex]x=-4[/tex]

Hope this helps!

Answer:

-4

Step-by-step explanation:

First you wanna subtract the 1 from the 11 then add subtract the 3x from the 6x and you should have 3x = -12 the. You just divide -12 by 3

-3/4 x + 1/2 = 3/4 solve for x please

Answers

Answer:

[tex]x = -\frac{1}{3}[/tex]

Step-by-step explanation:

1/2 = 2/4Plug 2/4 in: -3/4x + 2/4 = 3/4Subtract 2/4 from each side, so it now looks like this: -3/4x = 1/4Divide each side by -3/4, so it cancels out the -3/4 next to x. It should now look like this: x = -1/3

I hope this helps!

I need the answer and the work (it’s geometry)

Answers

Answer:

D

Step-by-step explanation:

The starting point is B and the ray extends towards A.

So the asnwer is D.

when twelve is subtracted from three times a certain number and the number and the is divided by four, the answer is eighteen. find the number?​

Answers

Answer:

[tex]<font color=pink>[/tex]

According to the question, we get the equation :

[tex]<font color=blue>[/tex]

3x-12=18

[tex]<font color=black>[/tex]

⛈Let's find x :

[tex]3x - 12 = 18 \\ ⟹ 3x = 18 + 12 \\ ⟹ x = \frac{30}{3} \\ ⟹x = 10[/tex]

Hope you understand

How much would $200 invested at 6% interest compounded annually be worth after 5 years? Round your answer to the nearest cent.m

Answers

Answer:

$252.50

Step-by-step explanation:

Furture value$252.50

Total Deposits: $200

Interest Earned: $52.50

D
B
8 cm
8 cm
16 cm
С
Find the area of triangle ABC.

Answers

Could you be more specific
um the answer should be 1,024

PLEASE HELP ME! How do I find x?????????

Answers

Answer:

Here you have to use the vertically opposite angle

your answer is 35

because vertically opposite angles are equal

x=35

Step-by-step explanation:

Answer:

x = 35

Step-by-step explanation:

X and 35 are vertical angles and vertical angles are equal

How many solutions exist for the equation 5(x-1)+2 = 2x+3x-3 ?

Answers

Answer:

infinite number of solutions

Step-by-step explanation:

Given

5x - 1) + 2 = 2x + 3x - 3 ← distribute and simplify

5x - 5 + 2 = 5x - 3, that is

5x - 3 = 5x - 3

Since both sides are equal then there are an infinite number of solutions to the equation.

Randy walks his dog each morning. He walks StartFraction 7 Over 12 EndFraction of a mile in 7 minutes. How many miles does he walk in 1 minute?

i found the answer its 1/12 you just dived 7 and 7 and then leave the bottom number alone, and then what do you get 1/12.

Answers

Answer:

1/12

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

I got the question purposely wrong so I could see the right answer

What time is 3 ¾ hours after 10:37 pm? ( Your answer must contain am or pm )

Answers

Answer:

2:23

Step-by-step explanation:

Answer:

10:37 pm + 3 3/4 hours = 2:22 am

Step-by-step explanation:

10:37

3: 45

2:22

+ :23 minutes from 3:45 to 10:37, which gets you to 11 pm, leaves you with 3 hours and 22 minutes

11pm + 3:22= 2:22 am

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