Solve each absolute value equation
-4[x] + 10 = 50

Answers

Answer 1

[tex]\large\boxed{\mathsf{-4[x] + 10 = 50}}\\\large\boxed{\rightarrow\mathsf{-4x + 10 = 50}}\\\\\large\text{SUBTRACT 10 to BOTH SIDES}\\\large\boxed{\mathsf{-4x + 10 - 10 = 50 - 10}}\\\large\text{CANCEL out: 10 - 10 because that gives you 0}\\\large\text{KEEP: 50 - 10 because it helps solve for the x-value}\\\\\large\boxed{\mathsf{50 - 10 = \bf 40}}\\\large\boxed{\mathsf{-4x = 40}}\\\\\large\text{DIVIDE -4 to BOTH SIDES}\\\large\boxed{\mathsf{\dfrac{-4x}{4}=\dfrac{40}{-4}}}[/tex]

[tex]\large\text{CANCEL out: }\rm{\dfrac{-4}{-4}}\large\text{ because that gives you 1}\\\large\text{KEEP: }\rm{\dfrac{40}{-4}}\large\text{ because it gives you the x-value answer}\\\\\large\boxed{\mathsf{x = \dfrac{40}{-4}}}\\\\\large\text{SIMPLIFY IT AND YOU HAVE THE RESULT OF THE X! }\\\\\huge\boxed{\text{Therefore, your answer is: \textsf{x = -10}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\frak{Amphitrite1040:)}[/tex]

Answer 2

Step-by-step explanation:

[tex] \bf \underline{Given-} \\ [/tex]

[tex] \sf{ - 4(x) + 10 = 50} \\ [/tex]

[tex] \bf \underline{To \: find-} \\ [/tex]

[tex] \sf{ \:the \: value \: of \: x = \: ? } \\ [/tex]

[tex] \bf \underline{Solution-} \\ [/tex]

[tex]\textsf{Given equation,}\\[/tex]

[tex] \sf{ - 4(x) + 10 = 50} \\ [/tex]

Now, multiply -4 from (x) to get -4x.

[tex] \sf{ \Rightarrow \: - 4x + 10 = 50 } \\ [/tex]

Now, +10 will move to RHS then it's sign will be charged -10

[tex] \sf{ \Rightarrow \: - 4x = 50 - 10} \\ [/tex]

Subtract 50 from -10 to get 40. Because 50 is greater than -10.

[tex] \sf{ \Rightarrow \: - 4x = 40 } \\ [/tex]

[tex] \sf{ \Rightarrow \: x = \cancel\frac{ - {40}^{- 10 }}{4}} \\ [/tex]

[tex] { \: \therefore \: \underline{ \boxed{{ \sf{x = - 10.}}}}}[/tex]


Related Questions

help pls i really need help like really so pls i will giv brainly est and money pls 20 dollar i need help pls pls pls i cant do math pls

Answers

Answer:

what do you need help with?

Is 314.15927 irrational or rational

Answers

Answer:

3.14159... is irrational. Is that what you mean? What you put right now is rational

Step-by-step explanation:

Irrational = infinite

Rational = Not infinite

!!!!help asap brainliest reward!!!!!
Compare and contrast pyramids and cones.

Be sure to use mathematical terms to describe parts of the solids.

a. In what ways are they alike?

b. In what ways are they different?

Choose either pyramids or cones, and explain how the formula for their volume can be described using other solids.

Answers

Answer:

Similarities: both have a base which extends into a single vertex.

Differences: a cone only has 1 edge and a pyramid has a minimum of 6 (for a triangular pyramid).

the base of a pyramid is a polygon - the base of a cone is a curve

(a mathematical cone has no edges at all it is a continuous sheet - or two sheets if you consider the vertex as dividing the surface into two sheets).

Step-by-step explanation:

brainliest?

The key difference between Pyramids and cones are:
A pyramid is basically a code that has a base in the form of a polygon.

What are the similarities between Pyramids and Cones?

Pyramids and cones are alike in the following ways:

Their lateral surfaces converge at a vertex;If they are of the same size, then their volume will be the same as wellA pyramid will eventually turn into a cone if the number of sides of its base is increased infinitely.

Because a cone can be made from a right angle triangle, their formulas are also alike in some ways. Notice that both formulas are related to the height of the object.

The formula for the area of a right angle triangle is:

A =   hb/2

The area of a cone is given as:

A = [tex]\pi[/tex] r (r + [tex]\sqrt{(h²+r²)}[/tex]

Learn more about Pyramids and cones at:
https://brainly.com/question/3812042

I WILL GIVE YOU BRAINLIEST Which of the following lines are parallel to Y = 1/4X - 3? A. 2Y = 1/3X + 2 B. 4Y = 4X + 3 C. 3Y = 3/4X + 6

Answers

Answer:

3Y=3/4X +6

Step-by-step explanation:

3Y=3/4X +6 is parallel to Y=1/4X-3

5 divided by 14?



......................................

Answers

.3571428571z................

Answer:

0.3571

Step-by-step explanation:

Step 1: Start by setting it up with the divisor 14 on the left side and the dividend 5 on the right side like this:

14[tex]\sqrt{x}[/tex]5

Step 2: The divisor (14) goes into the first digit of the dividend (5), 0 times(s).

Therefore, put 0 on top:

14[tex]\sqrt{x}[/tex]0 5

Step 3: Multiply the divisor by the result in the previous step (14 x 0 =0) and write that answer below the dividend.

14 0

  [tex]\sqrt{x}[/tex]5

   0

Step 4: Subtract the result in the previous step from the first digit of the dividend (5-0 = 5) and write the answer below.

14 0

[tex]\sqrt{x}[/tex] 5

-0/5

(Surface area) Will give brainliest. Help Needed Asap

Answers

Answer:

148

Step-by-step explanation:

Answer:

148ft²

Step-by-step explanation:

Because I just did the question and got it correct.

Hope this helps ;)

What is the variable in the expression 12 + 5y + 4

Answers

the variable is usually after the coefficient
so y would be the variable
The variable is typically the letter in the equation. It’d be y here.

Question 1
Form the largest 5-digit number using the digits 9, 2,5, 4, 7 only once
a. 97542
b. 97524
c. 97425
d. 24579

Answers

Answer:

97542

Step-by-step explanation:

Write all the numbers in descending order

hope it helps

Answer: 97542

Step-by-step explanation: go in order of largest to smallest number as starting with a bigger number will let you end with a bigger number

find the value of x
578−3x=501

Answers

Answer:

25+2/3

Step-by-step explanation:

578-3x=501

-3x=501-578

-3x=-77

x=-77/-3

x=25+2/3

Find the equation of the line
(Use exact numbers)

Y=___x+___
Please help

Answers

Answer: Y=2x+4

Step-by-step explanation:

1st step: Find the y-int ==> Y-int= 4

2nd step= To find the x-int go up 2 and go to the right 1 ==> 2/1=2

Y=2x+4

Where will the two lines intersect? y=2x+1 and y=-2x+5

Answers

Answer:

(1, 3)

Step-by-step explanation:

(1,3) is the answer

Write any two irrational numbers between 0.7575496 and 0.784218972.​

Answers

Answer:

2 rational numbers are:

0.766766676666766666.....

0.766766676666766666.....0.77896543567543120.....


Identify all integers less than -14.

Answers

Answer:

An integer is a whole number that can be either greater than 0, called positive, or less than 0, called negative.

Step-by-step explanation:

Answer:

-28, -19, -18, -15,

Step-by-step explanation Cause -14 is more closer to 0 then all 4 of those negative numbers so that mean all 4 of these negative numbers are greater than -14 :) if that makes sense

-3x + 4 = 6x + 2 how many solutions?

Answers

Answer: x=2/9

Step-by-step explanation: Hope this help :D

Answer:

One solution x: 2/9

Step-by-step explanation:

HELPPPPPPPPPPPPP Me cause me stuck

Answers

Answer:

x = 109°

Step-by-step explanation:

x° is 37° + 72°, due to exterior angle property.

so x° = 109°

Please help..
Solve for the area of the figure below and show work.

Answers

Answer and Step-by-step explanation:

1. We can see that this kite-shape has 4 triangles in it.

The area of a triangle is as follows:

[tex]A = \frac{bh}{2}[/tex]

Where:

b = Base (length)

h = Height

Top Right Triangle Area:

b = 9

h = 3

A = [tex]\frac{3 * 9}{2}[/tex]

A = [tex]\frac{27}{2}[/tex]

Bottom Right Triangle Area:

b = 9

h = 3

A = [tex]\frac{3 * 9}{2}[/tex]

A = [tex]\frac{27}{2}[/tex]

Top Left Triangle Area:

b = 4

h = 3

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

A = [tex]\frac{12}{2}[/tex]

A = 6

Bottom Left Triangle Area:

b = 4

h = 3

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

A = [tex]\frac{12}{2}[/tex]

A = 6

Now, we add all the areas together to get the area of the kite figure.

A = [tex]\frac{27}{2}[/tex] +

A = 27 + 12

A = 39

The area of the kite figure is 39 [tex]m^{2}[/tex].

2. We have to find the area of the trapezoid.

(I'm not sure if the 9 is for the entire bottom side length)

If the bottom side length is 9, then we would use the formula:

A = [tex]\frac{a + b}{2} h[/tex]

to find the area of the entire trapezoid.

A = [tex]\frac{2.4 + 9}{9}[/tex] × 8.2

A ≈ 46.74 [tex]mi^{2}[/tex]

#teamtrees #PAW (Plant And Water)

I need help on these Math questions ASAP. Sorry if I come off as annoying. I don't understand these questions and I've researched everything. They've been overdue for about a week now. Sorry.

Answers

Answer:

Ok

Step-by-step explanation:

A rectangle has an area of 30 square meters and a perimeter of 34 meters. What are the dimensions of the rectangle.

Answers

Answer:

15m times 2m

Step-by-step explanation:

Please help me out



Find the area .

Answers

Answer:

its27.54 8.1×3.4 =27.54 base×height

The radius of a circle is 7 miles. What is the circle's area?
Use 3.14 for .

Answers

Answer:

A≈153.94mi²

Step-by-step explanation:

A = πr2 = π · 72 ≈ 153.93804mi²

FREE PTS! If you had 3 wishes, what would you wish for? (Besides more genies or wishes)​

Answers

Answer:

Step-by-step explanation:

Answer:

-I'd wish to limit the greed in this world

-Vanish global warming

-Bring back family/ freinds who left too early

Step-by-step explanation:

Can someone plz help me on this plz

Answers

Answer: 1089 (area)

Area of a trapezoid: A=b1+b2(h)/2

Alan used 9 as a estimate for 3 7/10+5 4/10 He added and got 9 1/10 for the actual sum.Is Alan answer reasonable?

Answers

3 7/10 + 5 4/10 = 8 11/10 = 9 1/10

so estimate = 9

actual answer = 9 1/10

yes, his answer is reasonable

brainliest or a thank you please :)) <33

*please help* What is the measure of angle ADC?

Answers

23 degrees






That is your answer and if I’m wrong then I’m sorry

change 10 inches per second to miles per second

Answers

Answer:

I don’t even know, what was the question?

Step-by-step explanation:

0.000157828283 miles per second

the price of a console was reduced from 512 to 384 by what percent was the price reduced

Answers

The answer is 896 Hope this helped.
the price was reduced by 75% 512 divided by 384 = 0.75 0.75 x 100 = 75

Expand and simplify
5 (p+6) - 2 (3p+4)
and
7 (k-2) - 3 (2k-5)
Find the nth term for each sequence
5,9,13,17,21

1,8,15,22,29

10,6,2,-2,-6

Please help​

Answers

Answer:

A) -p + 38

B) k + 1

C) a_n = 4n + 1

D) a_n = 7n - 6

E) a_n = 14 - 4n

Step-by-step explanation:

A) 5(p + 6) - 2(3p + 4)

Multiply out the bracket to get;

5p + 30 - 6p + 8

>> -p + 38

B) 7(k - 2) - 3(2k - 5)

Multiply out the bracket to get;

>> 7k - 14 - 6k + 15

>> k + 1

C) Sequence is;

5, 9, 13, 17, 21

This is clearly an AP(arithmetic progression) because the difference between each term is 4.

Formula for nth term of an AP is;

a + (n - 1)d

Where d is difference and a is first term

Thus;

a_n = 5 + (n - 1)4

a_n = 5 + 4n - 4

a_n = 4n + 1

D) Sequence is 1, 8, 15, 22, 29.

This is also an AP.

Difference is 7.

Thus,nth term is;

a_n = 1 + (n - 1)7

a_n = 1 + 7n - 7

a_n = 7n - 6

E) 10, 6, 2, -2, -6

This is also an AP.

Difference is -4

Thus,

a_n = 10 + (n - 1)(-4)

a_n = 10 - 4n + 4

a_n = 14 - 4n

PLEASE HELP! with this math question

Answers

Hope this will help

PLEASE HELP. NO LINKS. NEED REAL EXPLANATION.

Answers

Answer:

245

Step-by-step explanation:

Multiply the numbers together

7×5×7

245

hope it helps...

The approximate circumference of a pizza is 107 inches. What is the radius of the pizza? Use 3.14 for π.

Answers

Answer:

17.03 inches

Step-by-step explanation:

Circumference = 2 π r

where r is the radius

since circumference is 107 inches

[tex]107 \: = \: 2 \times 3.14 \times r \\ 107 \: = \: 6.28 \times r \: \\ \frac{107}{6.28} \: = \: r \\ r \: = 17.03 \: inches[/tex]
Other Questions
The table shows the bowling scores for Bill and Tonya in a given game set.Who is a better bowler based on the median scores, and why?Pls no links What is an equation of the line that passes through the point (- 2, 7) and is perpendicular to the line x - 4y = 24 ? Pls help what is the sum of the fraction Please help with scale factor!!!!!!!! I will mark brainliest if right! Two rectangular prisms have a side scale factor of 1/4. If the smaller prism has a surface area of 45cm square, what is the surface area of the larger prism? Find the scale factor and area. 1. What news does Balthasar bring to Romeo2. What is the punishment for selling lethal poisonsin Verona3. Why does Romeo belleve that the apothecary will sell him polsona4. When Romeo hears of Juliet's death, he reacts before he considers all the possibleresults. If you could talk to Romeo and give him some advice,what would you tell him5. When Friar John arrives to talk to Friar Laurence, what does Frlar Laurence realize andwhat does he decide to do? In rabbits, the gene for black fur is dominant over the gene for white fur. How can the appearance of white baby rabbits be explained when the mother has white fur, and the father has black fur? Need help!! ASAPP! With number #4thx which weights more 2.48 or 2.5 Pls help asap thx20.21. Cheryl kept track of the changes in temperature one night. At 7:00 P.M. thetemperature was 4F. The chart below shows the changes in temperature for each ofthe next 3 hours. What was the temperature at 10:00 P.M?Time8:00 P.M.9:00 PM10:00 P.M.Change inTemperature (F)-2.6+1.3-5.7 Why was the Fifteenth Amendment viewed as both a success and a failure?It ended slavery, but failed to guarantee the right to vote for African American men.It gave white women the right to vote, but ignored the rights of black women.It gave African American men the right to vote, but ignored the rights of women.It gave southern white women the right to vote, but ignored the rights of southern black women. Find the value of x. please please help me (the number in the photo is 20 and then the letter is x)(also if you can pls go to my profile and answer the question underneath this one) Which statement best compares Brutus's remarks atthe death of his wife, Portia, to his words before hisown death?O Brutus shows extreme sorrow and regret over bothdeaths.O Brutus is matter of fact when talking about bothdeaths, but he takes time for reflection when talkingabout his own impending death.Brutus uses more imagery when speaking aboutPortia's death and is direct when speaking of hisown.O Brutus explains how Portia died, but he completelyavoids talking about his own death. Write an equation to model the situationJack works at a t-shirt store. Jack earns $150 a week plus $2 for every t-shirt (T) thathe sells. If Jack's gross pay at the end of the week is $320, how many t-shirts did he sell? the table shows conversion between minutes and seconds how many seconds should go with 2.5 minutes A roller coaster car starts at the loading platform, rises 30.4 meters, and then takes a steep dive of 50.4 meters into a valley. Plot the value of the altitude of the car after taking the steep dive directly on the vertical number line. Assume the platform is at an altitude of O meters. Drawing Tools Click on a tool to begin drawing. Delete Undo Reset Find the sine of angle R. What is the answers to these. it's all on the picture please answer