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

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.

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Answer: 1089 (area)

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Find the area .

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Answer:

its27.54 8.1×3.4 =27.54 base×height

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

!!!!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

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 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


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

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?

-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:

*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

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

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

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

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

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

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

Write any two irrational numbers between 0.7575496 and 0.784218972.​

Answers

Answer:

2 rational numbers are:

0.766766676666766666.....

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

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

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..
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)

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.

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°

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]

PLEASE HELP! with this math question

Answers

Hope this will help

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:

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

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

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