3/a x - 4 = 20. x equals -2

Answers

Answer 1

Answer:

[tex]\Large \boxed{a=\frac{-1}{4} }[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{3}{a} \cdot x - 4 = 20[/tex]

Let x = -2.

[tex]\displaystyle \frac{3}{a} \cdot (-2) - 4 = 20[/tex]

Solving for a.

[tex]\displaystyle \frac{-6}{a}- 4 = 20[/tex]

Adding 4 to both sides.

[tex]\displaystyle \frac{-6}{a} = 24[/tex]

Multiplying both sides by a, then dividing both sides by 24.

[tex]\displaystyle \frac{-6}{24} = a[/tex]

Simplifying.

[tex]\displaystyle \frac{-1}{4} = a[/tex]


Related Questions

A line that includes the point (0, 3) has a slope of 8. What is its equation in slope-intercept
form?
Need help

Answers

Point Slope Intercept
8x - y + 3 = 0
Y=mx+b is always the equation for a line

M is always the slop (in this case it’s 8)

B is always wherever the line goes through the y axis ( in this case 3)

what is the value of x. 1.6(15x + 25)= -6x -5

Answers

Answer:

[tex]x = - \frac{3}{2} \: \: \: or \: \: - 1.5[/tex]

Step-by-step explanation:

1.6(15x + 25)= -6x -5

Multiply the terms

That's

24x + 40 = - 6x - 5

Add 6x to both sides

24x + 6x + 40 = 6x - 6x - 5

30x + 40 = - 5

Subtract 40 from both sides

That's

30x + 40 - 40 = - 5 - 40

30x = - 45

Divide both sides by 30

We have the final answer as

[tex]x = - \frac{3}{2 } \: \: \: or \: - 1.5[/tex]

Hope this helps you

Find the domain and range of the function represented by the graph. A Domain: −3

Answers

Answer:

Domain: (-3, 1]

Range: [-4, 0)

Step-by-step explanation:

Domain is all the x-values that can be plugged into the graph.

Range is all y-values that are outputted from inputting x.

We can see that our x-values span from -3 to 1. Since -3 is open dot, it is not included. Brackets signify inclusion.

(-3, 1]

We can see that our y-values span from -4 to 0. Since when x = -3 is open dot, the output y = 0 is also not included.

[-4, 0)

You have to simplify it
-2x+3-(5-6x)

Answers

Answer: 4x−2

Step-by-step explanation:

-2x+3-(5-6x) remove the parentheses

-2x+3-5+6x collect like terms

(−2x+6x)+(3−5) simplify to get 4x−2

Hope this helps, have a blessed and wonderful day! :-)

- Cutiepatutie

Answer:

4x - 2

Step-by-step explanation:

when there is a expression in parentheses, change the sign of each term in the expression

-2x + 3 - 5 + 6x

collect the like terms

-2x + 6x = 4x

3 - 5= -2

now put them together and you get

4x - 2

The swimming pool near Maya's house charges $6.00 per visit. There is also a yearly pass available for $190.00. Maya is deciding whether
she should buy the yearly pass.
What is the fewest number of visits Maya must make to the pool so that the yearly pass will be less expensive than paying $6.00 per visit?

Answers

Answer:  31 times

Step-by-step explanation:

The way solve the problem is, you multiply $6.00 by 31 ( How I did it I multiply a lot of numbers by $6.00...) and you get $186.00. now 6 cannot fit in any further you have the cost, and the number of times Maya can go, without paying for the pass.

Umm okay this is IXL and I don’t know what to do???

Answers

Answer:

t⁹

Step-by-step explanation:

Whenever you multiply the same base with 2 different exponents, you add the powers together.

t⁴(t⁵)

4 + 5 = 9

t⁹

Answer:

Hey there!

a^b(a^c)=a^b+c

t^4(t^5)=t^9.

Let me know if this helps :)

Donna is d years old, and her age one year ago was half her age six
years from now.

Pls help

Answers

this isnt enough information

Renee knit a total of 39 centimeters of a scarf over 3 nights. How many nights will renee have to spend knitting in order to knit a total of 65 centimeters of the scarf

Answers

Answer:

5 nights

Step-by-step explanation:

39 divided by 3 = 13

so we divided 65 by 13 hence your answer 5 nights

In one night, Renee would have knitted 13 cm. 65/13 equals 5 nights

[tex]\frac{bt7}{4} =9[/tex]

Answers

Greetings from Brasil...

Isolating BT we get 36/7

Amanda Roberts works a Monday through Friday work week at a rate of $8.75 per hour. She takes a 1- hour lunch break. If she clocks in each day at 8:45 am and leaves at 5:15 pm, what is her total pay for the week?

Answers

Answer:

$328.13

Step-by-step explanation:

First, find the amount of time she works every day.

Between 8:45 and 5:15, there are 8.5 hours.

Subtract 1 for her lunch break, so there are 7.5 hours worked every day

Then, calculate how much she gets every day:

7.5(8.75)

= $65.625

Multiply this by 5 to find her pay for the week:

65.625(5)

= $328.13 is her total pay for the week

The total pay for the week will be $318.75.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Amanda Roberts works a Monday through Friday work week at a rate of $8.75 per hour. She takes a 1- hour lunch break. If she clocks in each day at 8:45 am and leaves at 5:15 pm.

The number of hours from 8:45 am to 5:15 pm will be 8.5 hours.

And the number of working days will be 5.

Then the total pay for the week will be

⇒ $8.75 x 5 x (8.5 - 1)

⇒ $8.75 x 5 x 7.5

⇒ $318.75

The total pay for the week will be $318.75.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

A line perpendicular
to y=5x+2

Answers

Answer:

5 x + 2

Step-by-step explanation:

Answer:

y = (-1/5)x + 2

Step-by-step explanation:

A line perpendicular to y = 5x + 2 would have a flipped opposite slope. Note the slope in the slope-intercept form:

y = mx + b

y = (x , y)

m = slope

x = (x , y)

b = y-intercept

Flip the slope:

y = 5x + 2

y = (-1/5)x + 2

y = (-1/5)x + 2 is your answer.

~

Bill and gwyll are going on holiday to the USA. Bill changes £450 into $729 Gwyll changes £500 into $780 What exchange rate did bill get? What exchange rate did Gwyll get?

Answers

Answer:

Bill's exchange rate was $1 to £1.62

Gwyll's exchange rate was $1 to £1.56

Step-by-step explanation:

Given

Bill changed £450 into $729

Gwyll changes £500 into $780

Required

Determine their exchange rates

Exchange rate is calculated by dividing the currencies against one another.

Given that they both changed from pound to dollar, the exchange rate is calculated as thus;

[tex]Rate = \frac{Amount\ in\ pound}{Amount\ in\ dollar}[/tex]

Calculating Bill's Exchange Rate

[tex]Rate = \frac{\£729}{\$450}[/tex]

[tex]Rate = \frac{\£1.62}{\$1}[/tex]

Represent as a ratio

[tex]Rate = \£1.62:\$1[/tex]

Hence, Bill's exchange rate was $1 to £1.62

Calculating Gwyll's Exchange Rate, using the same formula and steps

[tex]Rate = \frac{\£780}{\$500}[/tex]

[tex]Rate = \frac{\£1.56}{\$1}[/tex]

Represent as a ratio

[tex]Rate = \£1.56:\$1[/tex]

Hence, Gwyll's exchange rate was $1 to £1.56

Dwayne had 136 songs on his phone. He deleted 56 songs. What is the
ratio of songs he kept to songs he deleted in its simplest form)?​

Answers

Answer:

10 : 7

Step-by-step explanation:

Deleting 56 songs leaves 136 - 56 = 80 songs, thus

ratio of songs kept : songs deleted = 80 : 56 ( divide both parts by 8 )

80 : 56 = 10 : 7 ← in simplest form


Use the figure below for questions 5-8.
5. Name a point coplanar to point K.
6. Name the intersection of plane R and JL.
7. Name three non-collinear points.
8. Give another name for line JK

Answers

Answer:

5. Both M and N (but u just need to choose one)

6. K

7. You can choose (K,M,N) ; (J,L,M) ; (J,L,N) ; (M,N,L) ; (M,N,K)

8. Line JL or KL

A line segment is also a line but a line with finite length and has fixed endpoints. A point coplanar to point K is point M.

What is a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

A line segment is also a line but a line with finite length and has fixed endpoints.

The answers to the following questions can be given as shown below.

The coplanar point lies on the same plane. A point coplanar to point K is point M or point N.The intersection of plane R and JL is K.Three non-colinear points, (K,M,N) or (J,L,M) or (J,L,N) or (M,N,L) or (M,N,K).Another name for line JK is line KL or line JK.

Hence, Another name for line JK is line KL or line JK.

Learn more about Line here:

https://brainly.com/question/21511618

#SPJ2

what number sets or set does -5 belong to?

Answers

Answer:

-5 belongs to the set of Integers, Rational numbers, and Real numbers.

Integers, Rational numbers, Real numbers

Someone help me plzzzzzz

Answers

Answer:

Step-by-step explanation:

5x-4+7x-8=180

12x-12=180

12x=192

x = 16

5(16)-4= 80-4= 76 degrees

7(16)-8= 112-8= 104 degrees

9y  +  5 = 104

9y = 99

y = 11

9(11) + 5 = 99 + 5 = 104

What are the angles in a 30˚- 60˚- 90˚ triangle after it is rotated 45˚?
Group of answer choices

75˚-105˚-135˚

30˚-60˚-90˚

None of the above

45˚-45˚-90˚

Answers

Answer:

The correct option is;

30° - 60° - 90°

Step-by-step explanation:

Rotation is one of the three rigid transformation of which others are reflection and translation. In a rotation transformation of a figure about a fixed point, known as the center of rotation, the figure is turned in a circular path about the fixed point or center of rotation. The size and shape of the pre-image the rotation are the same however, depending on the angle of rotation, their facing directions may be different. The specification of a rotation can be in the clockwise direction or in the anti-clockwise direction

The shape of the triangle in the question and the image are the same and are therefore congruent. All interior angles of the triangle and those of its rotation will therefore be congruent.

-2 2/3 + (-9 4/5)= ?

Answers

Answer:

-22 /3 + (-94/5)

-22/3 + -89/5

Step-by-step explanation:

-110/15 + - 257/15

-367/15

Kevin is looking for a job as a graphic designer. One ad lists a job that pays 64.6K. Another job he found has a weekly salary of $1,120. What is the difference in the weekly salaries of these two jobs? Round to the nearest dollar.

Answers

Answer:

The difference between the two weekly salaries is $122

Step-by-step explanation:

One job pays $64,600 per year. Since there are 52 weeks in a year, the weekly salary for this job is the quotient: $64600/52 = $1242.31 which rounded to the nearest dollar gives: $1242 per week

The other job pays $1120 per week. Therefore the difference in weekly salary for the two is:

$1242 - $1120 = $122

(3+x)^2 + 9 =36 Please help ASAP Brainliest & 15 pts

Answers

Answer:

x=0.0000−3.0000i

x=0.0000+3.0000i

Hoped I helped

Answer:

x  = 3√3 - 3

x  = -3√3 - 3

Step-by-step explanation:

(3+x)² + 9 = 36

(x + 3)² + 9 - 9 = 36 - 9

(x + 3)² = 27

x + 3 = 3√3

x + 3 = -3√3

therefore,

x  = 3√3 - 3

x  = -3√3 - 3

What are the first five multiples of 12?

Answers

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

A multiple is a number that can be divided by that number with no remainder. For example, multiples of 5 are 5, 10, 15, and 20.

A multiple of 12 is basically 12 × (number of multiple), for example, if you want the second multiple of 12, you would multiply 2 by 12.

So multiply 12 by 1, 2, 3, 4, and 5.

12×1=12

12×2=24

12×3=36

12×4=48

12×5=60

The first five multiples of 12 are 12, 24, 36, 48, and 60.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

Answer:

12,24,36,48, and 60

Carlos is analyzing the results of a recent scientific study about gravity. Scientists recorded that the experimental value of gravity was 10.24 m/s² and the general accepted value of gravity is 9.81 m/s². Calculate the percent error of the experimental versus accepted values of gravity.

Answers

Answer:

The answer is 4.38.

Step-by-step explanation:

You take the experimental value and subtract the accepted value from it. then take that and divide it by the accepted value. When you get your you move the decimal point and round if needed.

The NASA Space Shuttle transports material to the International Space Station at a cost of $22,000 per kilogram. What is the number of dollars in the cost of transporting a 250 g control module?

Answers

Answer:

$ 5,500

Step-by-step explanation:

Simple, 1 kg = 1000 grams, so, 250 grams is a quarter, just divide the $22,000 by 4 = $ 5,500

Answer:

$5,600

Step-by-step explanation:

What is 2,440 divided by 8 can you show your work please?

Answers

Answer: [tex]305[/tex]

Shown work is on the image below.

Mr. Doss reached into a bag and pulled out a handful of counters. He pulled out 16 negative counters and 27 positive counters. What was the combined value of the counters?

Answers

Answer: 11

Step-by-step explanation:

Given: Mr. Doss pulled out 16 negative counters and 27 positive counters.

In integers we use negative sign "-" to represent the negative quantities.

So, we can represent 16 negative counters as -16.

Now, combined value of the counters = (-16) + 27

= 27-16

= 11

Hence, the combined value of the counters is 11.

Find the factors in the expression: 3x( x +4)
A 3x, x and 4
B 3x and ( x + 4)
C 3, x and (x + 4)
D 3, X, X, and 4

Answers

A, because 3x count as one, x count as one , and 4

Given two lines, 1 and 2, with equal slopes and a line that is perpendicular to one of these two lines, 1. What is the relationship between line and the other line, 2?

Answers

Answer:

[tex]m_1.m_2 = -1[/tex]

Step-by-step explanation:

Given

2 lines of same slope

A different perpendicular line

Required

Determine the relationship between the lines

We have that, line 1 and line 2 have the same slope;

Represent their slope with m₁

For the third line

Represent the slope with m₂

in coordinate geometry, the relationship between perpendicular line is

[tex]m_1.m_2 = -1[/tex]

Hence, the required relationship is [tex]m_1.m_2 = -1[/tex]

Simplify the expression and rationalize the demonimator when appropriate, please show steps : >

Answers

Answer:

[tex]=-3tv^2[/tex]

Step-by-step explanation:

So we have the expression:

[tex]\sqrt[3]{3t^4v^2}\sqrt[3]{-9t^{-1}v^4}[/tex]

To simplify, combine the two radicals. Since they have the same index, we can combine them. Thus:

[tex]=\sqrt[3]{(3t^4v^2)(-9t^{-1}v^4)}[/tex]

Combine like terms:

[tex]=\sqrt[3]{(3\cdot -9)(t^4\cdot t^{-1})(v^2\cdot v^4)}[/tex]

Multiply. When multiplying the exponents, simply add the exponents:

[tex]=\sqrt[3]{-27t^3v^6}[/tex]

Now, simplify. Note that -27 can be written as (-3)^3. t^3 can be written as (t)^3 and v^6 can be written as (v^2)^3. Thus:

[tex]=\sqrt[3]{(-3)^3(t)^3(z^2)^3}[/tex]

Combine them all under one exponent:

[tex]=\sqrt[3]{(-3tv^2)^3}[/tex]

Cancel out the cube root:

[tex]=-3tv^2[/tex]

And this is the simplest it can get.

And we are done :)

Edit: Typo

Answer:

-3v²t

Step-by-step explanation:

[tex]\sqrt[3]{3t^4v^2}  \sqrt[3]{-9t^-1v^4}[/tex]

= [tex]\sqrt[3]{3t} \sqrt[3]{v^2t} \sqrt[3]{-9v^4t^-1}[/tex]

= [tex]\sqrt[3]{3t} (-\sqrt[3]{9v^4/t)} \sqrt[3]{v^2t}[/tex]

= - [tex]\sqrt[3]{3t}  \sqrt[3]{v^2 9v^4/t}t[/tex]

= - [tex]\sqrt[3]{3}  \sqrt[3]{9t}  \sqrt[3]{v^6}[/tex]

= - [tex]\sqrt[3]{3*9}v^2t[/tex]

= - [tex]\sqrt[3]{27} v^2t[/tex]

= -3v²t

(4 + 2i) + (-3 – 5i)

Answers

Answer:

(1 - 3 i)

Step-by-step explanation:

(4 + (2 * i)) + ((-3) - (5 * i)) =

Answer:

1-3i

Step-by-step explanation:

What's (-7)+9 Ps. This is adding integers

Answers

Answer:

Step-by-step explanation:

When two integers are in different sign, subtract and the result will have the bigger number sign

-7 + 9 = 2

Subtract and the 9 is the bigger number and its sign is +. So, the result is = +2 or 2

Other Questions
Will tried to convert 72 ounces/second into pounds/minute. He determined the answer to be 270 lbs/min. Is he correct? If so, what was one correct step? If no, what did he do wrong? Most of the regulated medical waste in the United States is incinerated. These incinerators are a health hazard because they release pollutants like lead into the air. How could technology be best used to solve this problem? Which IDS component is essentially the same as a sniffer in that it runs in conjunction with a network card in promiscuous mode? A. Console B. Sensor C. Agent D. Network tap 10 sentences in Spanish the PAST tense (preterite)I swamyou drank watershe answeredwe livedyou danced (informal)I spokewe dancedthey swamyou spoke (formal)the girls drank coffee. Moving the decimal point to the right 4 places in a number is the same as _____. multiplying by 10 -4 multiplying by 4 multiplying by 10 4 multiplying by 10 A(n) ________ involves a firm in one country agreeing to operate facilities for a firm in another country for an agreed fee. A number with the same value but written differently The words below are monomers of what Carbo Hydrates, Proteins, Lipids, or Nucleic Acids 1- Glucose 2- phosphate 3- Sugar (5 C) 4- Amino Acid 5-Glycerol 6-Nitrogenous Base Hydrocarbons that contoins least double bond are 9. The annual interest rate is 21%. The balance after the grace period was $700. Nopayments were received. What is the interest for the month? Historical Thinking SkillsIdentifying details in a text to support an argument is an example of usingExamining the cause of an event and the subsequent effects relates to the skill ofApplying what is known about the past to the present is part ofIdentifying a historical turning point relates to the skill of 1/5 + 2/5 + 3/5= what Escriba un texto de mnimo 15 renglones y mximo 25 renglones en el que emplee todas las reglas de concordancia gramatical sustantivo+adjetivo. the sum of 2 prime numbers is 61, find the difference Why are people part Mongolian? Explain why in one paragraph please 4(x - 5) = 4 (4 + x) onuAllen SayRefer to Tea with Milk for a complete version of this text.In Tea with Milk, how does the family's decision to move to Japan affect the story?o Masako must repeat high school.O Masako teaches her new friends about America.O Masako is introduced to her future husband.o Masako refuses to learn Japanese.234567 how many voyages did columbus make before eventually going to his death bed falsely thinking he had found a westward route to asia What vice is Chaucer satirizing in this passage Explain how and where volcanoes form (how the chemical composition of lava affects the type of volcano formed).