Solve the equation:
-4x - 12 = 8

Answers

Answer 1

-4x - 12 = 8

     + 12  +12

-4x = 20

-4     -4

x = -5

To ensure that x equals -5, let's substitute the negative integer with x.

-4 x -5 - 12 = 8

-20 - 12 = 8

8 = 8

Therefore, the answer is x = -5 because we confirmed our answer by substituting x with -5 and solving the equation and got the both sides of the equation equal.

Answer 2

The solution to the equation -4x - 12 = 8 is x = -5.

To solve the equation -4x - 12 = 8, we'll isolate the variable x by performing the necessary steps.

First, we'll add 12 to both sides of the equation to eliminate the constant term on the left side:

-4x - 12 + 12 = 8 + 12

This simplifies to:

-4x = 20

Next, we'll divide both sides of the equation by -4 to isolate x:

(-4x)/-4 = 20/-4

This yields:

x = -5

Hence, the solution to the equation -4x - 12 = 8 is x = -5.

By performing the necessary operations of addition, subtraction, and division, we have determined that x is equal to -5, satisfying the equation. This can be verified by substituting x = -5 back into the original equation and confirming that both sides are equal.

To learn more about the linear equation;

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Related Questions

Ms. Albero decided to make juice to serve along with the pizza at the Student Government party. The directions said to mix 3 scoops of powdered drink mix with 1 gallon of water to make each pitcher of juice. One of Ms. Albero’s students said she will mix 12 scoops with 3 gallons of water to make 4 pitchers. How can you use the concept of proportional relationships to decide whether the student is correct?

Answers

Answer:

the student is wrong

Step-by-step explanation:

the og directions said 3 scoops / 1 gallon / 1 pitcher. if you are using 12 scoops, then the gallons of water will be proportional, meaning 3x4=12 scoops / 1x4=4 gallons / 1x4=4 pitchers. if you x4 to one of them, then the directly porportinal values also have to be multiplied by the same number, hence making the student wrong since they should have 4 gallons for 12 scoops

Adrianna and her friend rode the bus 13 times in a month and it cost $4 for each of them each time. If Arianna always paid for both of them, how much did it cost her for the month?

Answers

Add both of their costs which is 4+4=8 then multiply 8 times 13 gives you 104
$104
13x4x2
If she paid for both of them she would pay twice as much as she would for herself, so you can either multiply 13 by 8 or use the equation that I put above.

Answer plzz I give will correct answer as brainliest

Answers

Answer: 13m

Step-by-step explanation:

A^2+ B^2= C^2

5^2+ 12^2= c^2

169= C^2

then square root the 169 to get 13

can someone help me?!!

Answers

couldn't be me

Step-by-step explanation:

If
x
=
2
and
y
=
6
, evaluate the following expression:
20

(
3
y

4
x
)

Answers

Answer:

10

I did the calculations

(4*2)=8 (3*6)=18 18+8=26-20=6

CAN SOMEONE HELP ME HOW U DO THIS

Answers

Answer: 10% of 65.9

Step-by-step explanation:

What is the value of x in the equation 2(X+3) = 4(X-1)2
O1
O2
O3
O5
Please hurry ._.

Answers

the value of x in the equation is x=5

Kaitlyn's older brother borrowed money for school he took out a loan that charges 6% simple interest he will end up paying 720 and interest after 6 years how much is Kaitlyn's brother borrow for school?

please please help asap​

Answers

Answer: 2000

Step-by-step explanation:

The following can be gotten from the question:

Principal = Unknown

Rate = 6%

Time = 6 years.

Interest = 720

Note that: Interest = PRT / 100

720 = (P × 6 × 6) / 100

720 = 36P / 100

720 × 100 = 36P

72000 = 36P

Principal = 72000 / 36

Principal = 2000

The amount that he borrowed is 2000.

Each person in a group of twenty people at a hotel orders one meal chosen from oatmeal, eggs, or pancakes and one hot beverage chosen from coffee or tea. One person will be selected at random from the twenty people. What is the sample space for the meal and beverage for the person selected

Answers

Answer:

[tex]S = \{(Oatmeal, Coffee),(Eggs, Coffee),(Pancakes,Coffee),[/tex] [tex](Oatmeal, Tea),(Eggs, Tea),(Pancakes,Tea)\}[/tex]

Step-by-step explanation:

Given

[tex]Meal = \{Oatmeal, Eggs, Pancakes\}[/tex]

[tex]Beverage = \{Coffee, Tea\}[/tex]

Required

Determine the sample space

The sample space is a list of combination of 1 meal and 1 beverage.

Because one individual can order only one of the meals and one of the beverages at any one time, then no two orders can be the same

The sample space (S) is as follows:

[tex]S = \{(Oatmeal, Coffee),(Eggs, Coffee),(Pancakes,Coffee),[/tex] [tex](Oatmeal, Tea),(Eggs, Tea),(Pancakes,Tea)\}[/tex]

Please help me find the slope of this line!​

Answers

Answer:

m=3/2

Step-by-step explanation:

Which phrase best describes the graph of a proportional relationship?
OA. a straight line passing through the origin
OB.
a straight line
Ос.
a curve
OD
not a straight line

Answers

Answer:

A straight line passing through the origin

Step-by-step explanation:

A proportional relationship will have a particular quantity being related to another

For example, the relationship might be inverse or direct

In this case, we can have a straight line graph that passes through the origin

A straight line graph that passes through the origin would show the proportional relationship as it has no slope whatsoever

13. The table shows the height of a plant as it grows. Which equation in point-slope form gives the
plant's height at any time?
Time (months)
Plant Height
(cm)
2
16
4
32
6
48
8
64
Oy - 16 = S(x - 2)
Oy - 16 = 3x - 2
3- 16 = S(x - 2)
The relationship is non-linear

Answers

Given:

Table of values.

To find:

The equation in point slope form.

Solution:

From the given table it is clear that, the relationship is linear because the rate of change is constant because if x-value increases by 2 then y-values increases by 16.

Consider any two points from the table, i.e., (2,16) and (4,32).

[tex]Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]Slope=\dfrac{32-16}{4-2}[/tex]

[tex]Slope=\dfrac{16}{2}[/tex]

[tex]Slope=8[/tex]

The point is (2,16) and the slope is 8, so the point slope form is

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-16=8(x-2)[/tex]

Therefore, the relationship is linear and point slope form is [tex]y-16=8(x-2)[/tex].

Answer:

y - 16 = 8(x - 2)

3 number sentences with the answer of 2021.
Number sentence may have exponents, parenthesis, etc.

Answers

200 plush 1 equalsh fhhhive

I’ll mark youyou brainlist

I’ll mark youyou brainlist

Answers

Answer:

31°

Step-by-step explanation:

90° - 59° = 31°

31° + 59° = 90°

please please please help!! i’ll mark the brainliest and give 15 points!!!!

Answers

9514 1404 393

Answer:

  -108

Step-by-step explanation:

About the easiest way to do this for small values of n is to compute each of the terms using the given recurrence relation.

  [tex]a_1=4\\\\a_2=-3a_1=-3(4)=-12\\\\a_3=-3a_2=-3(-12)=36\\\\a_4=-3a_3=-3(36)=-108\\\\\boxed{a_4=-108}[/tex]

_____

Alternate solution

You recognize that the recurrence relation describes a geometric sequence with a first term of 4 and a common ratio of -3. The n-th term of a geometric sequence is ...

  [tex]a_n=a_1\cdot r^{n-1} \qquad\text{for first term $a_1$ and common ratio $r$}[/tex]

Then the 4th term will be ...

  [tex]a_4=4\cdot(-3)^{4-1}=4\cdot(-27)=-108[/tex]

Point E has a positive y-coordinate.

Answers

Answer:

please be more specific in your answer.

Step-by-step explanation:

i know that if it has a positive y coordinate then it would mean it has to be above the x-axis but thats all i can tell you from this.

what choice is a solution to the system of equations? y=2x-3 y-9=-x

Answers

Answer:

[tex](4,5)\ or\ x=4,y=5[/tex]

Step-by-step explanation:

[tex]We\ are\ given:\\y=2x-3\\y-9=-x\\Now,\ lets\ separate\ all\ the\ constant\ terms\ to\ the\ RHS\ and\ the\ variable\\ terms\ to\ the\ LHS.\\Hence,\\y-2x=-3\\y+x=9\\By\ subtracting\ the\ two\ equations:\\(y-2x)-(y+x)=(-3)-(9)\\Hence\ lets\ simplify\ this\ main\ equation: \\y-2x-(y+x)=-3-9\\y-2x-y-x=-12\\-3x=-12\\x=\frac{-12}{-3}=4\\\\Now,\ lets\ consider\ the\ second\ equation\ in\ the\ solution:\\y-9=-x\\Substituting\ x=4,\\y-9=-(4)\\y-9=-4\\y=-4+9\\y=5\\[/tex]

[tex]Now,\\We\ get\ the\ solution\ to\ this\ system\ of\ equations:\\x=4,y=5\\By\ putting\ this\ as\ a\ co-ordinate\ pair (x,y):\\(4,5)[/tex]

Answer:

The solution of the system of equations will be:

[tex]y=5,\:x=4[/tex]

Step-by-step explanation:

Given the system of equation

[tex]\begin{bmatrix}y=2x-3\\ y-9=-x\end{bmatrix}[/tex]

Arrange equation variables for elimination

[tex]\begin{bmatrix}y-2x=-3\\ y+x=9\end{bmatrix}[/tex]

so

[tex]y+x=9[/tex]

[tex]-[/tex]

[tex]\underline{y-2x=-3}[/tex]

[tex]3x=12[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}y-2x=-3\\ 3x=12\end{bmatrix}[/tex]

solve 3x=12 for x

[tex]3x=12[/tex]

Divide both sides by 3

[tex]\frac{3x}{3}=\frac{12}{3}[/tex]

[tex]x=4[/tex]

[tex]\mathrm{For\:}y-2x=-3\mathrm{\:plug\:in\:}x=4[/tex]

[tex]y-2\cdot \:4=-3[/tex]

[tex]y-8=-3[/tex]

Add 8 to both sides

[tex]y-8+8=-3+8[/tex]

[tex]y=5[/tex]

Thus, the solution of the system of equations will be:

[tex]y=5,\:x=4[/tex]

Drag the simplified value into the box to match each expression.
4° +2-3-2
22 +10 -3.2
I11
9+32 – 1-4
1
2
5
8
1
26

Answers

Answer:

4^0 + 2 x 3 - 2 = 5

2^2 + 10 - 3 x 2 = 8

9 + 3^2 - 1 x 4 = 14

please give brainliest

The price of an item has been reduced by 85% the original price was $95 what is the price of the item

Answers

Answer:

14.25

Step-by-step explanation:

95 x 0.85 = 80.75

95-80.75 = 14.25

Mr Brown has 2 children are going to london by train 1 adult costs £24 and child ticket costs 12 1/3 off adults tickets and 60% off child ticket

Answers

Complete Question

Mr Brown has 2 children are going to london by train

1 adult costs £24 and child ticket costs 12

The Family Railcard offers:

1/3 off adults tickets and 60% off child ticket

What is the total cost of tickets when Mr Brown uses the Family Railcard

Answer:

£25.60

Step-by-step explanation:

From the question:

1 adult costs £24

The Family Railcard offers:

1/3 off adults tickets.

Hence:

1/3 × £24 = £8

The cost for Mr Brown = £24 - £8

= £16

Child ticket costs £12

The Family Railcard offers:

60% off child ticket

Hence = 60% × £12

= 60/100 × £12

= £7.2

The cost for 1 child = £12 - £7.2

= £4.8

The total cost of tickets when Mr Brown uses the Family Railcard is:

Cost for Mr Brown + Cost for his 2 Children

£16 + 2 × £4.8

£16 + £9.6

= £25.60

Solve the two-step equation. 14 = 31.7 – 3x What is the solution? x = \

Answers

14=31.7-3x
3x=31.7-14
3x=17.7
X = 5.9

Answer:

x= 5.9

Step-by-step explanation:

How many whole groups of 8 can we pull out of 1

Answers

Answer:

0.125

Step-by-step explanation:

1/8=0.125

(2m + 7) + (5x + 4) =


Hurry help please

Answers

Answer:

5x + 2m + 11

General Formulas and Concepts:

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define Expression

(2m + 7) + (5x + 4)

Step 2: Simplify

Combine like terms (Z):                    5x + 2m + 11

HELP. How long is the minor axis for the ellipse shown below?

Answers

16 because it is going to be
The minor
Axis
For
The

Answer:

Correct answer is 8

2b aka 2(8) aka 16

Step-by-step explanation:

Solve the inequality:

2x+4 ≥ 24

x ≥ 10
x ≥ 6
x > 10
x < 10

Answers

You’re answer to this question is A
X is greater than or equal to 10

I WILL MARK BRAINEST!! Is it okay if you can answer the questions 1-3 or just 1 of the Questions with an explanation please!!!

Answers

Answer:

Step-by-step explanation:

a. 0.04... 4/100... 0.04

b. 4.25... 4 25/100... 4.25

c. 4... 4/100... 0.04

Answer:

1a)0.0004; 1/2500

1b)0.0425; 17/400

1c)0.04; 1/25

2a)0.5; 50%

2b)0.8; 80%

2c) 3; 300%

3a)68.2%; 5/8

3b)0.45%; 9/2000

3c)170%; 17/10 or 1 7/10

Step-by-step explanation:

Hurry please
:)))
I NEED HELP

Answers

Answer:

[tex] \huge\frac{ \sqrt{6} }{ \sqrt{5} } = \frac{ \sqrt{30} }{5} [/tex]

√30/5 is the right answer.

evaluate :5+1/6(-5/3)

Answers

Answer:

Step-by-step explanation:

Use PEMDAS

First you do the multuplication of

1/6*(-5/3)=-5/18

Next you do the addition

5+(-5/18)= 90/18-5/18= 85/18

please help me........

Answers

Answer:

x = 54

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Equality Properties

Step-by-step explanation:

Step 1: Define

-12(x + 4) + 14x = 60

Step 2: Solve for x

Distribute -12:                              -12x - 48 + 14x = 60Combine like terms:                   2x - 48 = 60Add 48 to both sides:                 2x = 108Divide 2 on both sides:              x = 54

Answer:

x = 54

Step-by-step explanation:

-12(x + 4) + 14x = 60

i) distribute -12 to the whole parentheses of (x+4)

(-12 × x) + (-12 × 4) + 14x = 60

-12x - 48 + 14x = 60

ii) collect like terms

-12x + 14x - 48 = 60

2x - 48 = 60

iii) move constant to the right-hand side and change its sign

2x = 60 + 48

iv) add the numbers

2x = 108

v) divide both sides of the equation by 2

[tex] \frac{2x}{2} = \frac{108}{2} [/tex]

x = 54

Let’s see who smart what is it and why

Answers

Answer:

Step-by-step explanation:

Wheelbarrows  is 30/3 = 10

Pair of shoes is (18 - 10) /2 = 4 so one shoe is 2

2 Seed bags is 4 - 2 = 2 so one bag is 1

Answer is 1(seed baf) + 10(wheelbarrows X 2(shoe) = 21

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