Solve each of the following equations. Show its solution set on a number line. Check your answers.
|6m-2|=0
1-|3p+1|= -3
|3x-2|=19
|3(x-2)|=12

NUMBER LINE FORMAT.
BRAINLIEST
40 POINTS

Answers

Answer 1
1) | 6m - 2 | = 0
6m = 2
m = 1/3

2) 1 - | 3p + 1 | = -3
- | 3p + 1 | = -4
-3p - 1 = -4
-3p = -3 or 3p = -5
p = 1, -5/3

3) | 3x - 2 | = 19
3x = 21 or -3x + 2 = 19
-3x = 17
x = 7, -17/3

4) | 3(x - 2) | = 12
3x - 6 = 12 or -3x + 6 = 12
3x = 18 or -3x = 6
x = 6, -2
Answer 2

The value of m is 1/3 of equation  |6m-2|=0,  |3(x-2)|=12 of p are 1, -5/3 for equation 1-|3p+1|= -3,  value of x are 7, -17/3 for equation |3x-2|=19 and

value of x are 6, -2 for |3(x-2)|=12

The first equation is |6m-2|=0

| 6m - 2 | = 0

6m = 2

Divide both sides by 6

m = 1/3

The value of m is 1/3.

The second equation is 1 - | 3p + 1 | = -3

- | 3p + 1 | = -4

-3p - 1 = -4

Add 1 on both sides

-3p = -3 or 3p = -5

The value of p are 1, -5/3

3) Third equation is | 3x - 2 | = 19

3x = 21 or -3x + 2 = 19

-3x = 17

Divide both sides by 3

The value of x are 7, -17/3

4) | 3(x - 2) | = 12

3x - 6 = 12 or -3x + 6 = 12

3x = 18 or -3x = 6

The value of x are 6, -2

To learn more on Equation:

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Related Questions

-5 = 1/3(-1-w)

pls help! i will give brainly

Answers

solve for w
divide each side by factors that don’t contain the variable
w = 14

Answer:

w=14

Step-by-step explanation:

Let's solve your equation step-by-step.

−5= 1/ 3 (−1−w)

Step 1: Simplify both sides of the equation.

−5= 1/ 3 (−1−w) −5=( 1/ 3 )(−1)+( 1/ 3 )(−w) (Distribute)

−5= −1/ 3 + −1/ 3 w

−5= −1/ 3 w+ −1/ 3

Step 2: Flip the equation.

−1/ 3 w+ −1/ 3 =−5

Step 3: Add 1/3 to both sides.

−1/ 3 w+ −1/ 3 +1/  3 =−5+ 1/ 3

−1/ 3 w= −14/ 3

Step 4: Multiply both sides by 3/(-1).

( 3 −1 )*( −1/ 3 w)=( 3/ −1 )*( −14/ 3 )

w=14

Answer:

w=14

 

pleassse Help thanksss

Answers

Answer:

365 dollars

Step-by-step explanation:

Select all ratios equivalent to 20:4 A. 8:1 B. 10:2 C. 15:3

Answers

Answer:

b 10:2 ,, c 15:3

Step-by-step explanation:

20:4 by dividing 4 from both sides you get the ratio

5 :1

so simplify the other ratios and find one that equals this one

A is already in simplest form 8:1

so it's refused

B 10:2 by dividing 2 from both sides you get the ratio 5 :1

C 15:3 by dividing 3 from both sides you get the ratio 5 :1

so both B and C are correct answers

Hope this helped! :)

B&C because the lowest you can go is 5:1 and if multiplied by 2 it’s 10:2 and times three is 15:3

Students are making lemonade from a powdered lemon drink mix. Adam mixes 3 cups of water and 4 cups of powdered lemon mix. Grace mixes 2 cups of water and 3 cups of powdered lemon mix. Use Adam and Grace’s percent of powdered lemon mix to determine whose mix will be more lemony.

Answers

Answer:

Ariana's percentage of the powdered lemon mix is 85%.

Andres's percentage of the powdered lemon mix is 48%.

Step-by-step explanation:

Answer:

The answer is 85% and 48%

Find the missing length. Round to the nearest tenth, if necessary.

Answers

the answer is 19.4. the equation is a^2 + b^2 = c^2

Please help me fast!
Illl give brainly

Answers

Answer:

2,050 = 2.05L and 2,050mL

7,002 = 7.002L and 7,001mL

10,050 = 10.05L and 10,050mL

Step-by-step explanation:

Answer:

2,050 = 2.05L and 2,050mL

7,002 = 7.002L and 7,001mL

10,050 = 10.05L and 10,050mL

Step-by-step explanation:

Please help me I will give brainliest
First dropdown positive , negative
Second dropdown real , non-real
Third dropdown in the image
Pick THREE answers
ONE FROM EACH DROP DOWN

Answers

First drop down is NEGATIVE

Second drop down is NON-REAL

Third dropdown is the second to last one at the bottom (2 plus or minus 4i)

Hope this helps!
1: NEGATIVE
NON REAL
2 plus or minus 4

can anyone help me out with this?

Answers

Answer:

Q1-4 = Solutions are found in attachment; Q5 = 24; Q6 = 8; Q7 = 7; Q8 = 3; Q9 = 45; Q10 = 24; Q11 = 15; Q12 = 18; Q13 = 3, 6, 9, 12, 15; Q14 = 7, 14, 21, 28, 35; Q15 = 8, 16, 24, 32, 40

Step-by-step explanation:

Solution for 1 to 4 are shown in the graph in the attachment.

Bold = Answer

Equivalent fractions

5.

6/8 = x/32

32/8 = 4

x = 6 * 4 = 24

6.

4/6 = x/12

12/6 = 2

x = 4 * 2 = 8

7.

1/8 = x/56

56/8 = 7

x = 1 * 7 = 7

8.

9/12 = x/4

12/4 = 3

x = 9/3 = 3

9.

5/9 = 25/x

25 / 5 = 5

x = 9 * 5 = 45

10.

5/6 = 20/x

20 / 5 = 4

x = 6 * 4 = 24

11.

36/45 = 12/x

36/12 = 3

x = 45 / 3 = 15

12.

20/36 = 10/x

20/10 = 2

x = 36/2 = 18

Multiples

13.

3 * 1 = 3

3 * 2 = 6

3 * 3 = 9

3 * 4 = 12

3 * 5 = 15

3, 6, 9, 12, 15

14.

7 * 1 = 7

7 * 2 = 14

7 * 3 = 21

7 * 4 = 28

7 * 5 = 35

7, 14, 21, 28, 35

15.

8 * 1 = 8

8 * 2 = 16

8 * 3 = 24

8 * 4 = 32

8 * 5 = 40

8, 16, 24, 32, 40

Plz help will be marked BRAINLIEST
And thanks !

Answers

1. X = 7
2. X=6
3. X=-8
4. X= 3 (I round it to the nearest number of 2.6)
1. -4x= -28
28/4= 7
x=7

2. 4(x+1)= -28
4x+4=-28
-28-4= -32
-32/4= -8
x=-8

3. x-7= -1
x= 6
in these types of question all you have to is subtract one from the other number.

4. -3x + 7= -1
-1-7=-8
-8/-3
2.6 repeating (2.666666666)

The base of a rectangular pyramid has dimensions 3 feet by 9 feet. The height of the pyramid is 11 feet.

What is the volume of the rectangular pyramid in cubic feet? Answer below, no units.

Answers

Answer:

99

Step-by-step explanation:

1.  rectangular pyramid formula:

2.  V=lwh/3

3.  99 = (3)(9)(11)/3

Your answer should be 99

Solve the system of linear equations by elimination. Check your solutions.

-5x + 3y = -6
9x - 4y = 1

Answers

We can divide both sides of the equation by 43 to solve for x:

90x / 43 - 47y / 43 = -49 / 43

x = -49/43

We can substitute this value for x back into either of the original equations to find y. Let's substitute it into the first equation:

-5x + 3y = -6

(-5 * -49/43) + 3y = -6

y = (-6 + 5 * 49/43) / 3

y = 17/43

The solution to the system of equations is (x, y) = (-49/43, 17/43).

To check our solution, we can substitute the values we found for x and y back into the original equations and see if they hold true.

In the first equation, -5x + 3y = -6, substituting the values we found for x and y gives us:

(-5 * -49/43) + (3 * 17/43) = -6

This simplifies to -6 = -6, which is true, so the solution holds for this equation.

In the second equation, 9x - 4y = 1, substituting the values we found for x and y gives us:

(9 * -49/43) - (4 * 17/43) = 1

This simplifies to -1 = -1, which is true, so the solution holds for this equation as well.

Therefore, the solution (x, y) = (-49/43, 17/43) is correct.

-5*9=-45
-45x+3*9y=-6*9
Equation1: -45x+27y=-54

Equation2: -45x-(4*(-5))y=1*(-5)
-45x+20y=-5

Equation1-equation2= 27y-20y=-54-(-5)
7y=-49
Y=-7

9x-4*(-7)=1
9x=1-28
X=-3

(X, y)=(-3, -7)

Only answer if you know the correct answer! Thanks! :)

Answers

Answer:

(21, 7)  

because the x axis is the number of minutes and the y axis is the x axis divided by 3

The answer is (21,7)

A factory makes aquariums. Each aquarium is in the shape of a triangular prism, as shown below. If the factory made aquariums that require a total of
12,600 ft 3 of water, how many aquariums did the factory make?

Answers

Answer: 420 aquariums

Step-by-step explanation:

The volume of the triangular prism is 30 because 1/2x5x4x3=30; if we divide 12,600 by 30 we get 420, which is 420 aquariums.

                                                                                   

A pentagonal pyramid holds 30 cubic cm of sand. The area of the pentagon equals 9 square cm. Find the pyramid's height.

Answers

Answer =3.333333333 is the answer

30cm divided by 9 cm to get ur answer
In this case it is recurring

Answer:

it should be 3.3 if rounded

Step-by-step explanation:

Determine the constant of proportionality in the situation below.
Every bag of peanuts costs $3.55
pls answer this serously thx.

Answers

https://brainly.com/question/19641181

Simplify |-33|
A.
0

B.
-33

C.
1

D.
33

Answers

Answer:

D. 33 will be your answer

Step-by-step explanation:

hope it helps...

Answer:

D. 33

Step-by-step explanation:

The two lines closing -33 in are the absolute value lines. Absolute value means how far is that number from 0. Since distance HAS to be positive, the answer is always the number inside the two lines, but positive. No matter if it starts off as negative or positive.

A color printer prints 23 pages in 9 minutes. How many pages does it print per minute? Round to the nearest hundredth. No links

Answers

Answer:

2.56

Step-by-step explanation:

To find out how many pages the printer prints per minute, you need to divide the amount of pages it printed with how long it printed.

So 23÷9

Which equals 2.55555555-

Round 2.5555555 to the nearest hundredth you get 2.56.

I think the answer is 2.56.

23 divided by 9 is 2.55555

2.55555 rounded to the nearest hundredth is 2.56

Two of the vertices of a rectangle are plotted on the coordinate grid below.

Answers

Option A is the correct answer.

A is the correct answer for this question

What is the mean of the data? Hours of TV Watched on Saturdays X Х XX 4 5 6 7 Hours 5.5 7 4 9​

Answers

Answer: 5.9375

Step-by-step explanation:

The average (mean) is equal to the sum of all the data values divided by the count of values in the data set.

Average = Sum / Count

= 47.5 / 8

= 5.9375

Which data set could represent the scores shown in the histogram?

Answers

Answer:

Step-by-step explanation:

B, because judging the graph it looks like the numbers are the closest to the data shown.

It is C because each score you count is matching with the histogram. You just count how many are in the 60-70 and match it to the graph.

PLEASE ANSWER ASAP BRAINLIEST AND 100 POINTS

Answers

Answer:

x = 2

Step-by-step explanation:

x + y = 7 - 2x + y = 5

x = 2

hope im right :)

For part B i dont know

Answer: x=−2 and y=9.

Step-by-step explanation: x+y=7

x+y+−y=7+−y

x=−y+7

2x+y=5

2(−y+7)+y=5

−y+14+-14=5+-14

−y/-1=−9/-1

y=9

x=−y+7

x=−9+7

x=−2

x=−2 and y=9

Keith has $20 in a savings account that earns 10% interest, compounded annually.
To the nearest cent, how much interest will he earn in 3 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer:

A = P(1 + r)t

Step-by-step explanation:

account balance, to the nearest cent, after: Year 1? Year 2? Year 3? Year 4? ... -To calculate compound interest we use the formula below where A = total balance after t years, P = principal amount (amount borrowed or invested), r = interest ... annually. a) How much money will Jack have after 1 year? b) How much money ...

Answer:

$6.62 interest

Step-by-step explanation:

B = p(1 + r)^t

= 20(1 + 0.10)^3

= 20 * (1.10)^3

= $26.62

A cylinder with volume of 143^3 cm has 3 spheres inside. Each sphere has a radius of 2cm. What is the volume in the cylinder not taken up with spheres (blank space)?

Please provide the equation and steps you used!

Answers

Answer:Equation: V = πr^2h

Steps:

1. Calculate the volume of each sphere: V = 4/3πr^3 = 4/3π(2cm)^3 = 33.51 cm^3

2. Calculate the total volume of the 3 spheres: 3 x 33.51 cm^3 = 100.53 cm^3

3. Calculate the volume of the cylinder not taken up with spheres: 143^3 cm^3 - 100.53 cm^3 = 42.47 cm^3

Step-by-step explanation:

pls mark brainliest if its correct !!

I’m to lazy to do my own work so can anyone help? Please explain

Answers

Answer: F

Example

If you do the math correctly the mean is 1955. The median is 78. The range is 157 and the mode it what shows the most so that isn't correct in this situation. Since the question asks how much Adriana scored then you would use the mean to figure out the answer

Lol me too but the mean is 78 I don't know how it would help but there is a useful-ish piece of info

Elsa is painting his bedroom walls. Each wall requires \large 1\frac{1}{3}gallons of paint. He has \large 2\frac{1}{4} walls left to paint. How many gallons of paint will he need?

Answers

Not enough information- it would depend on how much each wall needs per gallon.

The box plot below represents some data set. What is the interquartile range (IQR) of the data?

Answers

Answer:

16

Step-by-step explanation:

36-20=16

Your welcome

how can you find the vertex of a parabola if you know it's focus and directrix? in my equation, the focus is (6,4) and the directrix is y=-2​

Answers

Answer:

The vertex would be (6,1)

Step-by-step explanation:

The vertex is the midway between the focus and the directrix. The X of the vertex would be the same but to get the Y of the vertex you would need to take the average of the Y values. (6, 4 + (-2)/2) (6,1)

A store pays $275 for a table and marks the price up by 50%. What is the amount of the mark-up ?

Answers

Answer:

$387.50

Step-by-step explanation:

You can get the answer 2 different ways. First you could take $275/2 = $137.50

Or

$275*0.50 = 137.50

add $275+137.50 =$387.50

$412.50 is your answer

Can somebody please help me. All you have to do is write an equation for a problem and answer questions about it! (I will give brainliest to whoever can answer it!)

Answers

Sorry, I not that good at math
2X = 14.62. The value of x is not equal to 14.62, it is less. x is equal to 7.31, so doubling X will give you your answer.

Darian is multiplying 34 by 12.

Use the drop-down menu to complete the statement.

and the choices are greater than and less than

Answers

Answer:

Less

Step-by-step explanation:

Can u pls mark me brainliest

Answer:

LESS THAN

Step-by-step explanation:

[tex]\frac{3}{4}* \frac{1}{2} =\frac{3}{8}[/tex]

[tex]\frac{3}{8}[/tex]  IS  LESS THAN  [tex]\frac{3}{4}[/tex]

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