solve absolute value equation |5c-17| = |3x +11|

Answers

Answer 1

9514 1404 393

Answer:

  x = 3/4 or 14

Step-by-step explanation:

Assuming your equation is ...

  |5x -17| = |3x +11|

it can be rewritten as two equations:

  5x -17 = -(3x +11)

  5x -17 = 3x +11

__

The solution to the first of these is ...

  5x -17 = -3x -11

  8x = 6 . . . . . . . . add 3x+17

  x = 6/8 = 3/4 . . . divide by 8

The solution to the second equation is ...

  5x -17 = 3x +11

  2x = 28 . . . . . . . . add 17-3x

  x = 14 . . . . . . . . . . divide by 2

The solutions are x = 3/4 or x = 14.

Solve Absolute Value Equation |5c-17| = |3x +11|

Related Questions

The price of a gallon of unleaded gas has risen to $2.86 today. Yesterday's price was $2.81. Find the percentage increase. Round your answer to the nearest tenth of a percent.

Answers

Answer:

1.8%

Step-by-step explanation:

2.86-2.81 = .05 (find the difference between the two numbers)

2.81 / .05= .017 (divide the original number)

Multiply 100 to get a percentage

1.8% (rounding to the nearest tenth)

A package of 4 pairs of insulated socks costs $22.36 . What is the unit price of the pairs of socks ?

Answers

Answer:

5.59

Step-by-step explanation:

22.36/4 = 5.59

hope this helps!

A cookie contains 9 grams of fat. If you eat no fewer than 4 and no more than 7 cookies, how many grams of fat will you
consume?

compound inequality

Answers

Step-by-step explanation:

Since each cookie has 9 grams of fat, four cookies would contain 4*9 = 36 grams of fat.

Also nine cookies has 7*9 = 63 grams of fat.

So the number of grams consumed will be at least 36 and no more than 63.

The number of grams consumed will be; at least 36 and no more than 63.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We have been given that  cookie contains 9 grams of fat and eat no fewer than 4 and no more than 7 cookies, then;

Since each cookie has 9 grams of fat, four cookies would be;

4 x 9 = 36 grams of fat.

Also, the nine cookies have 7 x 9 = 63 grams of fat.

Therefore, the number of grams consumed will be; at least 36 and no more than 63.

To learn more about the unitary method, please visit the link given below;

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Can someone please help me asap I’ll mark brainlist!!!!!

Answers

Answer:

No because the aren’t equalll

Step-by-step explanation:

Is this ggod

Answer:

No

Step-by-step explanation:

32/4 = 8

72/10 = 7.2

HELP AGLEBRA 2 LOTS OF POINTS
I need help on this Exponent rules maze, please show your work so I can understand what I did wrong

Answers

Step-by-step explanation:

The picture isn’t loading... I have sat here for like 10minutes now thinking that it was my WiFi........ Ur gonna have to post another one.

In a video game, players form teams and work together to earn as many points as possible for their team. Each team can have between 2 and 4 players. Each player can score up to 20 points in each round of the game. Han and three of his friends decided to form a team and play a round. Match each expression or inequality to the quantity that it represents.

Answers

Answer:

20 times 4

Step-by-step explanation:

Han's team has 4 players.

A perfect score is the maximum possible score. Each player can score up to 20 points in each round, so 20 points is the maximum score.

If each of the 4 players scores 20 points, then the total score for the team is:

20 *4

That is the expression for the team's points.

Answer: 20*4

Based on the results of student voting shown here, which number completes this headline for the school newspaper?

Only_____ % of Students Voted for Hearts and Flowers Theme for Spring Dance

Answers

Answer:

5

Step-by-step explanation:

just took the box/ test

A tennis racket normally cots $70. The tennis racket is on sale for 40% off. What is the sale price of the tennis racket?

Answers

Answer:

$42

Step-by-step explanation:

Answer:

$42

Step-by-step explanation:

To find the sale price of the tennis racket, multiply the original price by 0.6:

70(0.6)

= 42

So, the sale price of the tennis racket is $42

Jack and Jill are saving for their first car. Jack saves $7 for
every $10 Jill saves. If Jill has $350 in her savings account,
then how much has Jack saved?

Answers

Answer:

Jack has saved $245.

Step-by-step explanation:

You divide $350 by $10, and you get 35. Then multiply Jack's $7 by 35 and you get $245!

Hope this has helped you! :)

Happy Halloween!~

show your work

7(x-8)=2x-31

Answers

Answer:

x=5

Step-by-step explanation:

7 (x-8)=2x-31

Distribute the 7 to the x and -8 (basically multiple 7 with the x and -8)

7x-56=2x -31

Drag the 2x over to the other subtracting it from 7x.

7x-2x-56=-31

5x-56=-31

Drag the 56 to the other side and add it to -31

5x= -31+56 (or 56-31)

5x= 25

Divide 5x from 25 to get your X

x=25/5

x=5

Hope this helps!!

Solve the equation: 9 - 4x = 17

A.X = 4
b.X=-4
C.X = 2
D.X = -2

Answers

Answer:

x= -2

Step-by-step explanation:

so D is the answer

Answer:

[tex]\boxed {x = -2}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]9 - 4x = 17[/tex]

-Subtract both sides by [tex]9[/tex]:

[tex]9 - 9 - 4x = 17 - 9[/tex]

[tex]-4x = 8[/tex]

-Divide both sides by [tex]4[/tex]:

[tex]\frac{-4x}{-4} = \frac{8}{-4}[/tex]

[tex]\boxed {x = -2}[/tex]

Therefore, value of [tex]x[/tex] is [tex]-2[/tex].

What is the equation of the line through the origin and (2,5)?
A. y = 5/2x
B. y = 2/5x
C. y= 2x
D. y = 5x

Answers

Answer:A

Step-by-step explanation:

Rise over run is whats needed in the answer. Since you have a point running through the origin, the slope (5/2) is provided

What is the equation for this line?

Answers

Answer:

The equation of the line is y = 2x - 3

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

m is the slope of the line,  [tex]m=\frac{y2-y1}{x2-x1}[/tex] b is the y-intercept (value y at x = 0)

Let us take two points on the line to find its equation

∵ Points (3, 3) and (0, -3) lie on the line

x1 = 3 and y1 = 3

x2 = 0 and y2 = -3

→ Use the rule of the slope above to find m

∵ [tex]m=\frac{-3-3}{0-3}=\frac{-6}{-3}=2[/tex]

m = 2

→ Substitute its value in the form of the equation above

∴ y = 2x + b

∵ b is the value of y at x = 0

∵ y = -3 at x = 0

b = -3

→ Substitute it in the equation above

∴ y = 2x + -3

→ Remember (+)(-) = (-)

∴ y = 2x - 3

The equation of the line is y = 2x - 3

Write and equation for a line perpendicular to 3y+15x=-12 and passing through the point (5,6)

Answers

Step-by-step explanation:

I am not sure sorry for doing it Innist need points

what is the sum of zeros of the equation (m-10)(6m-1)=0. Ancwer your question as a fraction




PLSSS SOMEONE ANCWEE THISS BEGGINGG.​

Answers

Answer:

The sum of zeros is [tex]\frac{61}{6}[/tex]

Step-by-step explanation:

The Rule of Zero Product

The rule of zero product states that the product of two nonzero elements is nonzero. It can be written as the following assertion:

If a.b=0, then a=0 or b=0

The equation

(m-10)(6m-1)=0

can be solved by applying the mentioned rule:

[tex]m-10=0 \ \ \Rightarrow m=10[/tex]

[tex]6m-1=0 \ \ \Rightarrow m=1/6[/tex]

The sum of both solutions is:

[tex]\displaystyle 10+\frac{1}{6}=\frac{61}{6}[/tex]

The sum of zeros is [tex]\mathbf{\frac{61}{6}}[/tex]

Select the correct answer. Given: ∆ABC Prove: A midsegment of ∆ABC is parallel to a side of ∆ABC. Statement Reason 1. Define the vertices of ∆ABC to have unique points A(x1, y1), B(x2, y2), and C(x3, y3). given 2. Let D be the midpoint of and E be the midpoint of . defining midpoints 3. definition of midpoints 4. slope of slope of definition of slope 5. slope of = slope of Transitive Property of Equality 6. definition of parallel lines 7. Let F be the midpoint of . defining a midpoint 8. definition of midpoint 9. slope of slope of definition of slope 10. 11. definition of parallel lines 12. Similarly, is parallel to . steps similar to steps 1−11 What is the missing step in this proof? A. Statement: slope of = slope of Reason: definition of slope B. Statement: slope of = slope of Reason: Transitive Property of Equality C. Statement: DF = BC Reason: Corresponding sides of congruent triangles are congruent. D. Statement: ∆ADF ≅ ∆ABC Reason: ASA

Answers

Answer:

B) Statement: slope of df  = slope of bc

Reason: Transitive Property of Equality

Step-by-step explanation: i just took the test.

Answer:

C. Transitive Property of Equality

Step-by-step explanation:

Rewrite in simplest terms: -7(2u-6v)-7v-3(10v+u)

Answers

Answer:

11v+35v-30

Step-by-step explanation:

Point A has coordinates (3,4). After a translation 4 units left, a reflection across the x-axis, and a translation 2 units down, what are the coordinates of the image?

Answers

Answer:

The coordinates of the image of point A are (-1, -6)

Step-by-step explanation:

Let us revise the rule of translation to the left, down, and reflection across the x-axis

If the point (x, y) translated horizontally to the left by h units then its image is (x - h, y) ⇒ T (x, y) → (x - h, y)If the point (x, y) translated vertically down by k units then its image is (x, y - k) ⇒ T (x, y) → (x, y - k)If the point (x, y) reflected across the x-axis, then its image is (x, -y), the rule of reflection is rx-axis (x, y) → (x, -y)

∵ The coordinates of point A are (3, 4)

∵ It is translated 4 units left

h = 4

→ By using the 1st rule above

∴ Its image is (3 - 4, 4)

Its image is (-1, 4)

∵ Its is reflected across the x-axis

→ By using the 3rd rule above change the sign of its y-coordinate

The new image is (-1, -4)

∵ It is translated 2 units down

k = 2

→ By using the 2nd rule above

∴ The final image is (-1, -4 - 2)

The final image is (-1, -6)

The coordinates of the image of point A are (-1, -6).

Sketch the graphs:y =1/3x + 2

Answers

Answer:y

=

1

3

x

+

2

 

Use the slope-intercept form to find the slope and y-intercept.

Tap for more steps...

Slope:  

1

3

y-intercept:  

2

Any line can be graphed using two points. Select two  

x

values, and plug them into the equation to find the corresponding  

y

values.

Tap for more steps...

x

y

0

2

3

3

Graph the line using the slope and the y-intercept, or the points.

Slope:  

1

3

y-intercept:  

2xy0233

Rebekah lives on a large, rectangular-shaped property that has a length 500 m and a width of 200 m. If it takes Rebekah 420 s to run the entire perimeter of her property, what is her average speed in meters per second rounded to the nearest hundredth?

Answers

Answer:

3.33m/s

Step-by-step explanation:

The perimeter of a rectangle is

= 2(L + W)

L = 500m

W = 200m

= 2(500 + 200)

= 2(700)

= 1400m

If it takes Rebekah 420 s to run the entire perimeter of her property.

Her average speed in meters per second rounded to the nearest hundredth is = Distance/Time

= 1400m/420s

= 3.3333333333 m/s

Approximately = 3.33m/s

Which expression is equivalent to x−2y ?

Answers

Answer:

-2y+x

Step-by-step explanation:

x-2y

-2y+x

Answer:

x+2y+x+2

=2x+2y+2

=2(x+y+1)

Step-by-step explanation:

i hope its right

is so eassy 2 puls 2

Answers

Answer:

4

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

evaluate 24−8x when x=−2

Answers

Your answer is gonna be 8

Answer:

8

Step-by-step explanation:

8

Is the expression 42 undefined? If not, find
the quotient.
-7​

Answers

Answer:

-6*-7=42 wdym as in undefined

Step-by-step explanation:

A food store makes a 10-pound mixture of peanuts, cashews, and raisins. The mixture has twice as many peanuts as cashews. Peanuts cost $1 per pound, cashews cost $2 per pound, and raisins cost $2 per pound. The total cost of the mixture is $16. How much of each ingredient did the store use to make the mixture?


I know the equations are likely

X = Peanuts

Y = Cashews

Z = Raisins


X + 2Y + 2Z = 16

2Y = X

X + Y + Z = 10

Answers

Answer:

The number of pounds peanuts = x = 4 pounds

The number of pounds cashews = y = 2 pounds

The number of pounds raisins be equal to z = 4 pounds

Step-by-step explanation:

The number pounds of the mixture = 10

Let the number of pounds peanuts = x

Let the number of pounds cashews = y

Let the number of pounds raisins be equal to z

Hence,

x + y + z = 10

The mixture has twice as many peanuts as cashews.

2y= x

= 2y + y + z = 10

= 3y + z = 10

z = 10 - 3y

Peanuts cost $1 per pound, cashews cost $2 per pound, and raisins cost $2 per pound. The total cost of the mixture is $16.

x × $1 + y × $2 × z × $2 = $16

x + 2y + 2z = 16......Equation 2

We Substitute.(2y = x), (z = 10 - 3y)

2y + 2y + 2(10 - 3y) = 16

4y + 20 - 6y = 16

20 - 16 = 6y - 4y

4 = 2y

y = 4/2

y = 2 pounds

z = 10 - 3y

z = 10 - 3(2)

z = 10 - 6

z = 4 pounds

2y= x

2(2) = x

x = 4 pounds

How much of each ingredient did the store use to make the mixture?

The number of pounds peanuts = x = 4 pounds

The number of pounds cashews = y = 2 pounds

The number of pounds raisins be equal to z = 4 pounds

Please someone help me with this! Math

Answers

Answer:

4,1

Step-by-step explanation: Due to the segment only needing a length of 4 units, if you add 4 units to your y, it will get you y=1

The slope between (250,120) and (300,90)

Answers

m = − 3/ 5  your welcome

Answer:I think it's -3/5

Step-by-step explanation:mhm

EXPLAIN HOW YOU GOT 3 AND 4 WITH STEPS PLS ITS URGENT

Answers

Answer:

2. x=25°

3. x=15°

4. x=26°

Step-by-step explanation:

For problem 2, we know the sum of the angles of a triangle is 180°. Also, supplementary angles are 180°.

30+20+x=180                  [combine like terms]

50+x=180                         [subtract both sides by 50]

x=130

Now that we have the missing angle, we can use that to solve for x.

2x+130=180                     [subtract both sides by 130]

2x=50                               [divide both sides by 2]

x=25°

Now, we know that x=25°.

For problem 3, we know the sum of the angles of a triangle is 180°. This means, we add all the angles together and get 180°.

8x+25+2x+5=180            [combine like terms]

10x+30=180                     [subtract both sides by 30]

10x=150                            [divide both sides by 10]

x=15°

Now, we know that x=15°.

For problem 4, we know the sum of the angles of a triangle is 180°. This means, we add all the angles together and get 180°.

x+12+52+90=180             [combine like terms]

x+154=180                        [subtract both sides by 154]

x=26°

Now, we know that x=26°.

Answer:

3. x = 5        4. x = 26

Step-by-step explanation:

3.

(2x + 5)  + 8x + 25 = 180

10x +30 = 180

10x = 150

x = 15

4.

52 + 90 + x+12 = 180

52 + 90 + 12 = 142

x + 142 = 180

x = 180 - 154

x = 26

Which matrix represents the solution to the system of equations below?
2a+b+c=2
-a+b-C=-4
a-2b+2c= 6

Answers

Answer:

A!

Step-by-step explanation:

Edge 2021 :)

The solution to the system of equations  is a=2, b=-2 and c=0

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equations are

2a+b+c=2 ...(1)

-a+b-C=-4 ...(2)

a-2b+2c= 6 ...(3)

Isolate a for 2a+b+c=2

a=2-b-c/2

substitute a in equation 2 and 3

-2+b+c/2 -b-c=-4

2-b-c/2-2b+2c=6

(3b-c-2)/2=-4

5b+3c+2/2=6

Isolate b for (3b-c-2)/2=-4

b=c-6/3

By simplification we get a=2, b=-2 and c=0

Hence, the solution to the system of equations  is a=2, b=-2 and c=0

To learn more on Equation:

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3) Amani spent half of her weekly allowance on the movies. She made an extra 30 dollars
babysitting. At the end of the week, Amani had a total of 45 dollars left. How much is
Amani's weekly allowance?

Answers

Answer:

23

Step-by-step explanation:

answer: the is 23.
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