solve the literal equation a + 4b = 5b - 3a for a

Answers

Answer 1
Simplifying
a + 4b = 5b + -3a

Reorder the terms:
a + 4b = -3a + 5b

Solving
a + 4b = -3a + 5b

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '3a' to each side of the equation.
a + 3a + 4b = -3a + 3a + 5b

Combine like terms: a + 3a = 4a
4a + 4b = -3a + 3a + 5b

Combine like terms: -3a + 3a = 0
4a + 4b = 0 + 5b
4a + 4b = 5b

Add '-4b' to each side of the equation.
4a + 4b + -4b = 5b + -4b

Combine like terms: 4b + -4b = 0
4a + 0 = 5b + -4b
4a = 5b + -4b

Combine like terms: 5b + -4b = 1b
4a = 1b

Divide each side by '4'.
a = 0.25b

Simplifying
a = 0.25b

Related Questions

Select the correct answer.
if g(x) =f(1/3x), which statement is true?
If

Answers

Answer:

The statement is true because local maximum exists at x =

Step-by-step explanation:

Answer:

if g(x) =f(1/3x), then both g(x) and f(1/3x) will be considered as same function.

Step-by-step explanation:

. एक श्रोताकक्ष की लम्बाई तथा चौड़ाई का अनुपात 3 : 2 है. यदि छत का क्षेत्रफल 600 वर्ग मीटर तथा चार दीवारों (d) 2200 वर्ग मा० का क्षेत्रफल 1500 वर्ग मीटर हो, तो इस कक्ष की ऊँचाई कितनी है ?​

Answers

Answer:

.

Step-by-step explanation:

Answer: 2 है यदि छत का क्षेत्रफल 600 वर्ग मीटर तथा चार दीवारों का क्षेत्रफल 1500 वर्ग मीटर हो तो

Step-by-step explanation:

1. The following sets of data shows the mean marks of 43 interviewees from a certain job interview that was conducted by a HR Consulting Firm in Mombasa: 23, 45, 79, 15, 47, 64, 33, 26, 34, 46, 31, 29, 49, 25, 45, 43, 39, 45, 22, 26, 28, 36, 42 Using the concept of sampling distribution, what sample size will give at least a 0.95 probability that the sample mean is greater than $8 of the population mean? ​

Answers

Using the Central Limit Theorem, it is found that a sample size of 13 is needed.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For this problem, using a calculator:

The mean is [tex]\mu = 37.9[/tex]The standard deviation is [tex]\sigma = 14.07[/tex]

The sample size needed is n when [tex]s = 4[/tex], as by the Empirical Rule, 95% of the measures are within 2 standard errors of the mean, hence [tex]2s = 8 \rightarrow s = 4[/tex]

[tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

[tex]4 = \frac{14.07}{\sqrt{n}}[/tex]

[tex]4\sqrt{n} = 14.07[/tex]

[tex]\sqrt{n} = \frac{14.07}{4}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{14.07}{4}\right)^2[/tex]

[tex]n = 12.37[/tex]

Rounding up, a sample size of 13 is needed.

A similar problem is given at https://brainly.com/question/24663213

What is the total number of possible four-card poker hands if the hand contains exactly one heart?

Answers

Answer:

Step-by-step explanation:

Assuming no wild cards ie. 52 card deck.

13 ways to fill the heart card

39 ways to fill the second card

38 ways to fill the third card

37 ways to fill the fourth card

13(39)(38)(37) = 712,842

Find an equation of the line drawn below.

Answers

Answer:

y = -2x +4

Step by step explanation:

y = -2x +4

Hello, hope you are having a splendid day.

First, we should calculate the slope of the line (Rise/Run)

The rise is how many units we move up or down; the run is how many units we move left or right.

Here, we move down 2 and over 1, so the slope is -2

Now, the y-intercept is where the graph touches the y-axis.

Here, the y-intercept is 4.

Our equation looks lke so:

y=-2x+4

Hope it helps. Ask me if you have any queries.

~An emotional teen who helps others on Brainly :)

[tex]MagicalNature[/tex]

Good luck.

6/4 on a number line

Answers

Answer:

Here plz leave review thx

Step-by-step explanation:

Solve the equation 3/4-4x+7/2=-9x+5/6 show work

Answers

Answer: For this equation, the value of x is - 2/3.

Step-by-step explanation:

1. Resolving the equation 2/3-4x+7/2=-9x+5/6

-4x + 9x = 5/6 - 2/3 - 7/2 (Putting the all the x values on the left)

5x = (5/6 - 4/6 -21/6)

5x = -20/6

x = - 20/6 /5 (Dividing by 5 at both sides)

x = -20/6 * 1/5

x = -4/6 = - 2/3 (Simplifying)

2. Proof of replacing x by -2/3

2/3 - 4 (-2/3) + 7/2 = -9 (-2/3) + 5/6

2/3 + 8/3 + 7/2 = 18/3 + 5/6

10/3 + 7/2 = 6 + 5/6

20 + 21 = 36 + 5 (Multiplying by 6 at both sides)

41 = 41

It means the value of -2/3 for x is correct

Answer:

[tex]x=-\frac{41}{60}[/tex]

Step-by-step explanation:

[tex]Grou. similar.terms:\\\frac{3}{4} -4x+\frac{7}{2} = -9x+\frac{5}{6} \\Find LCM (Lest Common Multiplier) and adjsut:\\[/tex]

[tex]-4x+\frac{3+14}{4} =-9x+\frac{5}{6} \\\\Subtract\\-4x+\frac{17}{4} - \frac{17}{4} =-9x+\frac{5}{6} - \frac{17}{4}\\After simplifying add\\-4x + 9x =-9x- \frac{41}{12} + 9x\\Simplify\\5x = - \frac{41}{12}\\Divide\\\frac{5x}{5} = \frac{-\frac{41}{12}}{5} \\Simplify.one.last.time\\x=-\frac{41}{60}[/tex]

Don't forget the - in front of the answer

please help me with this sum I will mark you as brainest​

Answers

Answer:

2016÷6=336 336×6=2016

3186÷9=354 354×9=3186

give a try for next sums

paki sagot po kailangan na kasi..

thank you in advance ☺​

Answers

1. 5

2.2

3.2,5

4.2,5

5.2

HOPE IT HELPS:)

PLS FOLLOW:)

#BRAINLIEST:)

Without graphing, describe the transformation from the parent function
f(x) = | x |.

1. y = 5| x |
2. y = 1/3 I x I
3. y = 3| x |

Answers

Answer:

1.  y = 5|x|   ⇒vertical stretch

2. y = ⅓|x|  ⇒vertical compression

3. y = 3|x|   ⇒vertical stretch

Step-by-step explanation:

Given the parent absolute value function, f(x) = |x|:

1) y = 5|x|  

The transformed function, y = a|x|, where |a| > 1, represents the vertical stretch of the parent graph by a factor of a.  

A vertical stretch is a transformation to the parent function where there is an increase in distance between corresponding points of a graph.

Therefore, the absolute value equation, y = 5|x|, represents a vertical stretch of the parent function by a factor of 5. The graph of y = 5|x| is narrower than the parent function, f(x) = |x|.  

2) y = ⅓|x|    

The transformed function, y = a|x|, where 0< |a| < 1, represents the vertical compression of the parent graph by a factor of a.  

A vertical compression is a transformation to the parent function where there is a decrease in distance between corresponding points of a graph.

Therefore, the absolute value equation, y = ⅓|x|, represents a vertical stretch of the parent function by a factor of . The graph of y = ⅓|x| is wider than the parent function, f(x) = |x|.  

 

3) y = 3|x|

Similar to question 1, the absolute value equation, y = 3|x|, represents a vertical stretch of the parent function by a factor of 3. The graph of y = 3|x| is narrower than the parent function, f(x) = |x|.  

Attached are the graphs of the given absolute value functions, where it shows the transformations to the parent function, f(x) = |x|.  

i need help on this math problem

Answers

The answer is A, it’s the only one that makes sense
It is number a so click on number A

Someone pls help me on this! ASAP pls I’ll mark you as a brainliest.

Answers

Answer:

almonds are worth 50 cents per ounce

peanuts are worth 25 cents per ounce

almonds are worth more per ounce

Step-by-step explanation:

I just divided 50 cents by 2 to get the cost per ounce of the peanuts, and I plugged 1 into the x in the equation that was given for almonds

Answer:

Almonds=50 cents per ounce

peanuts are 25 cents per ounce

Use the table below to answer the following question,
2:
хо 1 2 3 4 5 6
y 100 200 400 800 1,600 3,200 6,400
Which equation BEST fits the data given in the table?
se 3:
Of(x) = { (200)*
Of(x) = 100(2)*
uge 4
f(x) = 200)
age 5
Of(x) = 200(2)*
5
Previous Page
Next Page
Page 2 of 11

Answers

Answer:

I don't know answer what is

Find the simplified product. 5/n+1 times n+1/n+3

Answers

[tex]\left(\dfrac{5}{n+1}\right) \left( \dfrac{n+1}{n+3} \right)\\\\\\=\dfrac{5(n+1)}{(n+1)(n+3)} \\\\\\=\dfrac{5}{n+3}[/tex]

what is the point slope form?​

Answers

Answer:

2

Step-by-step explanation:

-17/2 < -1/2 - 4x ≤ 15/2
Please help helphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelp​

Answers

Given info: -17/2 < (-1/2) - 4x ≤ 15/2

Find the value of x ?

Explanation:

Given in-equation is -17/2 < (-1/2) - 4x ≤ 15/2

⇛ -17/2 < (-1-8x)/2 ≤ 15/2

On multiplying with 2 then

⇛ 2(-17/2) < 2(-1-8x)/2 ≤ 2(15/2)

⇛ -17 < -1-8x ≤ 15

On adding 1 in the in-equation then

⇛ -17+1 < -1-8x+1 ≤ 15+1

⇛ -16 < -8x ≤ 16

On dividing by 8 in the in-equation then

⇛ -16/8 < -8x/8 ≤ 16/8

⇛ -2 < -x ≤ 2

⇛ 2 > x ≥ - 2

⇛ -2 ≤ x < 2

⇛ x € [-2,2)

Answer:The solution set = { x : -2 ≤ x < 2, x€R }

The possible values of x = -2,-1,0,1

If you have any doubt, then you can ask me in the comments.

f(ə) =
g(x) = (x - 2)2 – 7
We can think of g as a translated (shifted) version of f.
Complete the description of the transformation,
Use nonnegative numbers.
To get the function g, shift f up/down v
by
units and to the
right/left
by
units.

Answers

Answer: To get function g, shift f DOWN by 7 units and to the RIGHT by 2 units

Step-by-step explanation: g(x)= (x-2)^2-7 since they’re both negatives it should be the opposite. An example would be g(x)=(x+3)^2+5, f goes UP for positive by 5 units, left by 3 units.

please help :,) it’s due tomorrow and i’m so confused

Answers

Answer:

I can't see the file or I can't open the file

Step-by-step explanation:

Is 1.05 greater than or less than 1.3

Answers

1.05 is less than 1.3 because the value in the tenths place in 1.05 is less than the one that’s in 1.3!!

The larger number is obtained as 1.3.

What is a Decimal number?

A decimal number is the representation of a number in whole and a part. The whole is represented by an integer while the part is equivalent to a number divided by the order of 10.

The given decimal numbers are 1.05 and 1.3.

The decimal 1.3 can be written as 1.30.

Now, the two decimals can be compared as below,

1.05 and 1.30

Both the decimals have equal integer part.

Digit at tenths of 1.05 is 0 and for 1.30 is 3.

Since, 3 > 0.

⇒  1.30 > 1.05

Hence, 1.3 is greater than 1.05.

To know more about decimal number click on,

brainly.com/question/4708407

#SPJ2

Suppose that we compute a 90% confidence interval for an unknown population mean . Which of the following is a correct interpretation?
90% of all possible

Answers

(Use the 68‑95‑99.7 rule.) Suppose that we compute a 90% z confidence interval for an unknown population mean . Which of the following is a correct interpretation? 90% of all possible confidence intervals computed from samples of the same size would contain .

a ratio is a comparison between two or more numbers or quantities

a. True
b. False​

Answers

The correct answer is true

How many numbers less or equal to 300 are divisible by 3, 4, or both, but not by 9?

Answers

The numbers less or equal to 300 that are divisible by 3, 4, or both, but not by 9 are 142.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have a 3 - digit number as 300.

Assume that the numbers less or equal to 300 that are divisible by 3, 4, or both, but not by 9 are [x].

Sequence of numbers divisible by 3 -

3, 6, 9, 12, ...., 300

300 = 3 + (n - 1)3

297 = 3n - 3

n(3) = 100

Sequence of numbers divisible by 4 -

4, 8, 12, ..., 300

300 = 4 + (n - 1)4

296 = 4n - 4

n(4) = 75

Sequence representing numbers less than 300, divisible by 9 -

9, 18, 27, ..., 297

297 = 9 + (n - 1)9

n(9) = 33

So, the numbers less or equal to 300 that are divisible by 3, 4, or both, but not by 9 are -

[x] = n(4) + n(3) - n(9)

100 + 75 - 33

175 - 33

142

Therefore, the numbers less or equal to 300 that are divisible by 3, 4, or both, but not by 9 are 142.

To solve more questions on Equation Modelling, visit the link below -

brainly.com/question/14441381

#SPJ1

What is the next number in the pattern?

9 4 7
—, —, — . . .
10 5 10

Answers

Answer:

3/5

The nth term of an AP = a + d(n -1)

By the looks of it, the next term in the sequence is the 4th term.

a = 9/10

d = 4/5 - 9/10 = -1/10

9/10 - 1/10(4 - 1) = 9/10 - 1/10(3)

9/10 - 3/10 = 6/10

3/5

Peter has 18 oranges, 27 pears and 12 bananas. He wants to make fruit baskets with
the same number of each fruit in each basket. What is the greatest number of fruit
baskets he can make? How many of each type of fruit will be in the baskets?

Answers

Answer:

3 baskets and 6 oranges, 9 pears, 4 bananas

Step-by-step explanation:

the common denominator is 3

Where is the point (0, -2) located on the coordinate plane?
A. On the y-axis
B. On the x-axis
O C. In quadrant III
D. In quadrant IV

Answers

Answer:

A

Step-by-step explanation:

The x- coordinate of any point on the y- axis is zero, that is (0, c ) , then

(0, - 2 ) is located on the y- axis

what is mixed number


help me pleas​

Answers

Answer:

A mixed number is a number with both a whole number and a fraction. For example 6 3/4, 2 1/2, 7 8/15. Hope this helped:)

Answer:

A mixed number is a number consisting of a whole number and a proper fraction.

Below are examples of mixed numbers:

[tex]4 \frac{1}{2}[/tex]

[tex]1 \frac{3}{5} [/tex]

Questions
Fine the area of the triangle whose vertices are (-2,2), (1,-2) and (0,2).

Answer:


a) 16
b) 8
c) 4
d) 2

Answers

Answer:

The answer to this is c) 4.

please help asap and please give real answers

Answers

Answer:

x = 2, x = - 5

Step-by-step explanation:

To factor it, you can split the middle term to get:

x² - 2x + 5x - 10 = 0

Then, you can factor the first two and the last two to get:

x (x - 2) + 5(x - 2) = 0

And if you divide both sides by (x - 2) you get:

(x - 2) (x + 5) = 0

Finally, this can be solved by the Zero Product Property which states that if x*y=0, then x and/or y has to be equal to 0. If you apply it to the eqaution you get:

x - 2 = 0, x + 5 = 0

which results in:

x = 2, x = - 5

Simplify the expression
( 3n • 2n^3)^2

Answers

Answer:

[tex] \large\color{red}{ \tt{36n⁸}}[/tex]

Step-by-step explanation:

[tex] \large\color{lime}{ \tt{(3n×2n³)²}}[/tex]

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

[tex] \large\color{lime}{ \tt{(3n⁴ × 2)²}}[/tex]

Multiply 3 and 2 to get 6.

[tex] \large\color{lime}{ \tt{(6n⁴)²}}[/tex]

Expand (6n⁴)².

[tex] \large\color{lime}{ \tt{6²(n⁴)²}}[/tex]

To raise a power to another power, multiply the exponents. Multiply 4 and 2 to get 8.

[tex] \large\color{lime}{ \tt{6²n⁸}}[/tex]

Calculate 6 to the power of 2 and get 36.

[tex] \large\color{lime}{ \tt{36n⁸}}[/tex]

Hope It's Help

can someone give me the answer to this please!​

Answers

Answer:

f hnjkhufqeyuwegbwegnasdgjbbhdfu8isbhwsduihjjrwhiwerhugwhj4g4wyug4huwreuywefgkofjfu9qhfu8mfnfnjrfnfjqwejknuiaefhbuqwiefjjjhjjjj

Step-by-step explanation:

fgjnwehgbwhgbge

Other Questions
A line that includes the points (z,2) and (8,5) has an undefined slope. What is the value of z? A recipe for trail mix says: Mix 7 ounces of almonds with 5 ounces of raisins. How many batches would there be if you have 250 ounces of raisins? the american civil war has been equated with the nation building that went on in germany and italy, with lincoln playing the role of otto von bismarck. watch the author video below. afterward, identify the statements that point to the differences between the european and american experience of nation building in the nineteenth century. what does the acronym AMS stand for (for nursing) Who was the first to manufacture paper films?A. William Henry Fox TalbotB. George EastmanC. Lumire brothersD. Nicphore Nipce Which dynasty ended the Warring States period and was able to unify China and adopted Legalism? *QinMingShangHan Help! I will give brainliest if correct which sentence is not a run on sentenceMany sport fans don't mind cold weather therefore the stands are filled in december.a. Many sport fans don't mind cold weather, therefore the stands are filled in december.b. Many sport fans don't mind cold weather, therefore, the stands are filled in december.c. Many sport fans don't mind cold weather, therefore; the stands are filled in december. d.Many sport fans don't mind cold weather' therefore the stands are filled in december. Solving an InequalityQuickCheck15To solve the inequalitym/-7 help meee plzzz help me Despus de leer el cuento "Como se vive en mi pueblo" de Lindaura Anzotegui de Campero, realiza en tu cuaderno el anlisis sobre el lenguaje usado por la autora, con base en los siguientes criterios: - - Expresiones cultas - - Expresiones vulgares del pueblo Edwin and Franklin share money in the ratio 3:7 Franklin received $20 more than Edwin. Find the amount shared and what each of them received. I need help on 3-6a=9-6a The date of creation can be added to a slide using the: a. "Insert" tab, "Add note" group b. "Edit" group of the ribbon c. "Insert" tab, "Text" group 1. How much energy is required to heat 32.5g of water from 34C to 75C? 8. An oligarchy can be like a dictatorship.False,True? Help me please! correct answer gets brainliest!! 2) What are the primary functions of all the Organic Compounds/Macromolecules? If you have been vaccinated against a virus, what should happen when you are exposed to that virus?the primary immune responsea potentially fatal infectiona lifelong infectious diseasethe secondary immune response is puritanism a concept or action? this is english