What is the solution set of the equation below? 3|5 − x| + 2 = 29

Answers

Answer 1

Answer:

x=-4

x=14

Step-by-step explanation:

Absolute Value Equation entered :

     3|5-x|+2=29

Step by step solution :

STEP

1

:

Rearrange this Absolute Value Equation

Absolute value equalitiy entered

     3|-x+5|+2 = 29

Another term is moved / added to the right hand side.

     3|-x+5| = 27

STEP

2

:

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is 3|-x+5|

For the Negative case we'll use -3(-x+5)

For the Positive case we'll use 3(-x+5)

STEP

3

:

Solve the Negative Case

     -3(-x+5) = 27

    Multiply

     3x-15 = 27

    Rearrange and Add up

     3x = 42

    Divide both sides by 3

     x = 14

STEP

4

:

Solve the Positive Case

     3(-x+5) = 27

    Multiply

     -3x+15 = 27

    Rearrange and Add up

     -3x = 12

    Divide both sides by 3

     -x = 4

    Multiply both sides by (-1)

     x = -4

    Which is the solution for the Positive Case

STEP

5

:

Wrap up the solution

x=14

x=-4

Solutions on the Number Line

 

Two solutions were found :

x=-4

x=14


Related Questions

John won 72 pieces of gum
playing hoops at the
county fair. At school he
gave four to every student
in his math class. He only
has 4 remaining. How
many students are in his
class?

Answers

18 Kids in his class you have to divide 72 by 4 which will give u 18

Answer:

Step-by-step explanation:

72 pcs gum - 4 remaining = 68 pcs of gum, 68 divided by 4

Divide 68 (amount of gumballs passed out to every student in Johns math class) by 4 (amount John gave to each student in his math class) = 17 Students in John math class Or 18 students when you include John.

Dai is comparing trading cards with his friend Maura

Answers

Answer:

a- n= 2x+ 4

b- n= 2x + 4 - 8

 

HELP ASAP I'M GIVING BRAINLIEST

Answers

Answer:

the picture is blurry is it only like that for me?

can someone help with this please . questions 3 and 4

Answers

Number three would be positive 4

The sum of the average amounts spent for veterinary expenses for​ dogs, cats, and birds in a recent year was ​$293 The average expenditure per dog exceeded the sum of the averages for cats and birds by ​$113. The amount spent per cat was times the amount spent per bird. Find the average amount spent on each type of animal.

Answers

The question is incomplete:

The sum of the average amounts spent for veterinary expenses for​ dogs, cats, and birds in a recent year was ​$293 The average expenditure per dog exceeded the sum of the averages for cats and birds by ​$113. The amount spent per cat was 9 times the amount spent per bird. Find the average amount spent on each type of animal.

Answer:

The average amount spent in dogs is $203, in cats is $81 and in birds is $9.

Step-by-step explanation:

From the information given, you can write the following equations:

x+y+z=293 (1)

x-y-z=113 (2)

y=9z (3)

You can replace (3) in (1) and (2):

x+9z+z=293

x+10z=293 (4)

x-9z-z=113

x-10z=113 (5)

Now, you have the following equations:

x+10z=293 (4)

x-10z=113 (5)

Then, you can isolate x in (4):

x=293-10z (6)

Next, you can replace (6) in (5):

293-10z-10z=113

293-20z=113

293-113=20z

180=20z

z=180/20

z=9

Now, you can replace the value of z in (6) to find x:

x=293-10z

x=293-10(9)

x=293-90

x=203

Finally, you can replace the value z in (3) to find y:

y=9*(9)

y=81

According to this, the answer is that the average amount spent in dogs is $203, in cats is $81 and in birds is $9.

You are making a scale drawing with a scale of 2 in. = 17 ft. Explain how you find the length of the drawing of an object that has an actual length of 51 ft.

Answers

Answer:

17/2 = 8.5

1 inch = 8.5 feet

51/8.5 = 6 inches

Step-by-step explanation:

HI :)

Answer:

51 divided by 17 = the answer

Step-by-step explanation:

if each 2 in. is 17 ft, you are looking for how many inches 51 feet would be.

Suppose that in 8 minutes, 32 gallons of water came out of a pipe. What was the rate in gallons per minute? ​

Answers

Answer:

4

Step-by-step explanation:

Answer:

8/32 =4 so 4 per min

Step-by-step explanation:

4.49 × 10^–3 in standard form?

Answers

Answer:0.0049

Step-by-step explanation: You move the decimal 3 places to the left because its negative which gives you 0.0049

See attachment for math work and answer.

Is this a function or no

Answers

Answer:

No

Step-by-step explanation:

It is not properly done.

I think the answer is no
hope this helps x

Write the equation of the parabola in vertex form.


Vertex: (−3,7); Point: (−2,−5)

Answers

Answer:

y = - 12(x + 3)² + 7

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (- 3, 7 ), thus

y = a(x - (- 3))² + 7 , that is

y = a(x + 3)² + 7

To find a substitute (- 2, - 5) into the equation

- 5 = a(- 2 + 3)² + 7 ( subtract 7 from both sides )

- 12 = a(1)² = a

y = - 12(x + 3)² + 7 ← equation in vertex form

Which of these expressions has the same product as ​(​)​?
Select all that apply.
A.
​(​)
B.
​(​)
C.
​(​)
D.
​(​)
E.
​(​)

Answers

Answer:

none

Step-by-step explanation:

I can't find any question there

To prepare for his mountain biking trip, Rhyan bought four tire patches. Rhyan paid using a gift card that had $22.20 on it. After the sale, Rhyan’s gift card had $1.90 remaining.

Which equations could you use to find the price of one tire patch? Select all that apply.

Answers

Answer:The answers are

4x + 1.9 = 22.2

22.2 - 4x = 1.9

Answer:

C. 4x + 1.9 = 22.2 and E. 22.2 – 4x = 1.9

Step-by-step explanation:

How do you do substitution on the two equations explain pls

Answers

Answer:

You simply separate like terms

The initial pressure inside a closed container is 200 psi. As the temperature inside the container increases, the pressure increases. If the pressure increases 7.5 psi for each degree Fahrenheit of increased temperature, which equation best represents p, the pressure inside the container after the temperature has increased t degrees?

Answers

Answer:

p = (200 + 7.5t) psi

Step-by-step explanation:

The initial pressure inside a closed container is 200 psi. Since the container is closed, the pressure inside it can not be less than 200 psi.

The pressure increases 7.5 psi with a degree rise in temperature (t) = 7.5t

so that;

p = 200 + 7.5t

  = (200 + 7.5t) psi

If the temperature increases by [tex]1^{o}[/tex] F, then;

p = 200 + 7.5(1)

  = 200 + 7.5

  = 207.5 psi

If the temperature increases by [tex]10^{o}[/tex] F, then;

p = 200 + 7.5(10)

  = 200 + 75

  = 275 psi

Se reparten 7/9 de pizza entre 4 niños. ¿Que fracción de la pizza le toca a cada uno?​

Answers

Putang ina mo gago ka

In American football, the ball is punted by dropping and kicking it before it hits the ground. The height ht of the football above the ground in meters t seconds after being punted is affected by gravity and by the punter's kick, and can be represented as the difference of two functions: at=4.9t2, which specifies the effect of gravity on the height of the ball, and vt=13.7t+0.5, which specifies the effect of the punt on the ball. With these two functions, ht=vt-at, how high above the ground was the ball when it was punted?

Answers

Answer:

The ball was 0.5 m above the ground before it was punted.

Step-by-step explanation:

Since at = 4.9t² specifies the effect of gravity on the height of the ball, and vt = 13.7t + 0.5 specifies the effect of the punt on the ball, the height ht of the ball above the ground after the punt is  ht=vt-at

ht = 13.7t + 0.5 - 4.9t². To find the height ht above the ground at which the ball was punted, we insert t = 0 which is the start time of the punt into the equation for ht. So with t = 0, ht becomes

ht = 13.7t + 0.5 - 4.9t²

ht = 13.7 × 0 + 0.5 - 4.9 × 0²

ht = 0 + 0.5 - 0

ht = 0.5 m

So the ball was 0.5 m above the ground before it was punted.

Find the angle BCD.PLZ!!!!!!!

Answers

Answer:

19

Step-by-step explanation:

Firstly find BCE then divide by 2.

TRUE OR FALSE
Angle BAH and angle DAG form linear pair.

Answers

Answer:

false

Step-by-step explanation:

The answer is TRUE ANGLE BAH AND ANGLE DAG ARE A FORM OF A LINEAR PAIR

which of the following are the coordinates of point A’, the image of point A, after a rotation of 90° about the origin?

Answers

Answer: I think it is (-4,0)

Step-by-step explanation:

Because the image shows it directly on the y axis so 90 degrees from that puts it on the x axis and it would have to be in the negative for the way it was reflected. So, the only reasonable answer is (-4,0).

Answer:

B) A rotation of 270° about the origin.

B) (-4, 0)

D) (-2, -5)

C) X' (-2, -6) and Y' (3, -1)

C) 280°

C) 8

B) A rotation of 180° about the origin.

B) Where Q is the center, the image of Q is itself, and for any other point V, QV' = QV and m∠VQV' = x°.

D) X' (6, -2) and Y' (1, 3)

C) (0, -30)

Brainliest plsssssss

Simon went to high school from 2012 to 2017. He was born when his father was 25. Simon’s parents met while they were in high school together. Part A Choose the compound inequality that describes the year x when Simon’s parents met.

Answers

Answer:

Simon started High school in the year 2012.

One usually starts highs school when is 14 years old.

So we can assume that Simon was born 14 years before 2012:

2012 - 14 = 1998

Now, Simon's parents may have met in the beginning of 1998, and Simon was born by the end of 1998. But in that case, Simon would be 13 at the beginning of school, instead of 14.

Then Simon's parents should have met before 1998.

Then the inequality that we have:

x < 1998.

And Simon was born when his father was 25 years old.

Then in 1998, Simon's father was 25 years old.

Meaning that he was born around:

1998 - 25 = 1973.

This means that Simon's parents met in-between the years 1973 and 1998.

1973 < x < 1998

For your birthday, you had a party at The Main Event. Your parents paid for you and 9 friends to play one game of bowling and one game of laser tag. It costs $8 for each combo ticket (covers both bowling and laser tag). Your parents also paid for a meal ticket ($6) for all of you to have pizza and a drink, but only you and 6 of your friends wanted a meal ticket.


6. Write an expression and solve it to find how much money your parents spent for the games and food/drink at The Main Event. Show all work

Answers

Answer:

$140

Step-by-step explanation:

8x+6x

)) Stefan estimates the income and expenses for renting
a phone accessory store in the mall. He enters the
amounts in the table shown. Should Stefan rent a
phone accessory store? Explain.
Estimated Income and Expenses
Type Amount Frequency
Sales
$950 Each week
Services
$2,875 Each month
Rent
-54,500 Each month
Travel
-$7.50 Each day
Merchandise -$1,650 Each month

Answers

Answer:

Stefan should rent a phone accessory store

Step-by-step explanation:

The given information are;

The total of the estimated income and expenses are given as follows;

Sales

Type [tex]{}[/tex]                      Amount  [tex]{}[/tex]                      Frequency

Sales [tex]{}[/tex]                      $ 950 [tex]{}[/tex]                          Each week

Services [tex]{}[/tex]                 $2,875 [tex]{}[/tex]                        Each month

Rent  [tex]{}[/tex]                     -$4,500 [tex]{}[/tex]                        Each month

Travel  [tex]{}[/tex]                   -$7.50 [tex]{}[/tex]                          Each day

Merchandise [tex]{}[/tex]         -$1,650 [tex]{}[/tex]                         Each month

Therefore;

Total sale = 4×950 = $3,800

Total services = $2,875

Total income =  $3,800 + $2,875 = $6,675

Total expenses = $4,500 + $7.50×30 + $1,650 = $6,375

Total profit = Total income - Total expenses = $6,675 - $6,375 = $300

Therefore, the net profit = $300.

Therefore, given that Stefan is able to make a net profit from his investment, he should rent a phone accessory store.

what is an equation equivaent to x=-2

Answers

x-2=0 answer

Step-by-step explanation:

x=-2 move constant to the left by adding its opposite to both sides

x+2=2-2 the sum of two opposites equals 0

x-2=0

ANSWER X-2=0

The fees for a biochemistry major are $1,728. To major in biochemistry, Toby requires 144 credit hours of coursework. How can he calculate the cost of the fees per credit hour? What is the cost of the fees per credit hour?

Answers

9514 1404 393

Answer:

divide fees by hours$12 per credit hour

Step-by-step explanation:

To find fees per hour, divide fees by hours.

  $1728/(144 h) = $12/h

Toby's cost is $12 per credit hour.

Sergio bought a new dryer for $337. How much did the dryer cost, rounded to the nearest hundred? NEED HELP PLEASE WILL GIVE BRAINEST

Answers

Answer:

300

Step-by-step explanation:

i just know

Answer:

337 rounded to the nearest hundred is 300.

Look at the tens place, it's less than 5 meaning everything after and itself is turned to a 0.

Step-by-step explanation:

Hope this explains it! <3

Which is 65% of 35?

CLEAR SUBMIT

17.5



22.75



30



53.85

Answers

[tex] \red { \orange {\boxed {\boxed{Answer}}}}[/tex]

[tex] = 65\% \times 35[/tex]

[tex] = \frac{65}{100} \times 35[/tex]

[tex] = \frac{65 \times 35}{100} [/tex]

[tex] = \frac{2275}{100} [/tex]

[tex] = 22.75[/tex]

#IfWrongPleaseReport

#StudyTogetherWithMe

#ILoveMath

Does anyone know what f(x)=-5x-1 when f(-7) i need help with this please.

Answers

Answer:

f(-7) = 34

Step-by-step explanation:

If f(x) = -5x - 1, then . . .

f(x) = -5x - 1

f(-7) = -5(-7) - 1

       = 35 - 1

       = 34

. . . because in f(-7), the (-7) is the x-value you're supposed to use to find the value of the function.

can someone please help me out?? :(( i have been stuck on this for 20 mins. i SUCK at math

Answers

Answer: Is it 24

Step-by-step explanation:

You have to make 1/6 and 3/8 have the same common denominator so in order to do that u have to make each denominator 48 since that’s the LCD. You then have to multiply by each number whatever it needs to get 48 on the bottom.

1/6 x 8 =8/48
3/8 x 6 =18/48

which figure shows that M is a midpoint ? select all apply

Answers

Answer:

I don't see the figures.

Step-by-step explanation:

Which property is illustrated by the following statement

Answers

Answer:

Communitive

Step-by-step explanation:

It is just saying that they are congruent and they just restated in different ways. It is like 4+3=7 and 3+4=7

Hope this helps

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