Solve 5ax + 3 ax = 4ax + 12 for x. Assume a + 0. A. x= 3a 3 O B. 1 c. F D. X= a a

Answers

Answer 1

So we have to solve the equation:

\(5ax+3ax=4ax+12\)

Knowing that a isn't zero. Let's start:

\(\begin{gathered} 5ax+3ax=8ax=4ax+12 \\ 8ax-4ax=12 \\ 4ax=12 \end{gathered}\)

Then, since a isn't zero we can divide the right side of the equation by 4a:

\(x=\frac{12}{4a}=\frac{3}{a}\)

So correct option is B.


Related Questions

\(n^{5} = 1254\)
How am i supposed to solve this?

Answers

Answer:

Step-by-step explanation:

\(n^{5}= 1254\\n^{5} = 2.3.11.19\)

Therefore it is not possible that n is a perfect power of 5

           it is approximately 4.16

Answer:

n ≈ 4.165

Step-by-step explanation:

To solve this, you need to take the 5th root of both sides:

\(n^5=1,254\)

\(\sf{\sqrt[5]{n^5} =\sqrt[5]{1254}}\)

On the lhs we're only left with n as n^5 and the 5th root cancel each other out.

On the right-hand side we need to calculate:

\(n\approx4.165\)

The figure below shows a line graph and tie shaded triangles that are similar

Answers

The figure shows a line graph and shaded triangles that are similar. The line graph represents the relationship between two variables, while the shaded triangles indicate similarity between their corresponding sides and angles. The scale factor can be used to determine the ratio between the sides of the similar triangles.

The figure provided shows a line graph and shaded triangles that are similar. In order to provide a clear and concise answer, I will explain the concepts of line graphs and similar triangles separately.

A line graph is a type of graph that displays data points connected by straight line segments. It is commonly used to show how a variable changes over time or in relation to another variable. The x-axis represents the independent variable, while the y-axis represents the dependent variable. The data points are plotted on the graph and connected to form a line. Line graphs are useful for visualizing trends and patterns in data.

On the other hand, similar triangles are triangles that have the same shape but not necessarily the same size. This means that their corresponding angles are equal, and their corresponding sides are in proportion. When two triangles are similar, their corresponding sides have a constant ratio, called the scale factor.

In the given figure, the shaded triangles are similar. This means that their corresponding angles are equal, and their corresponding sides are in proportion. The scale factor between the corresponding sides of the triangles can be determined by comparing the lengths of the sides.

To summarize, the figure shows a line graph and shaded triangles that are similar. The line graph represents the relationship between two variables, while the shaded triangles indicate similarity between their corresponding sides and angles. The scale factor can be used to determine the ratio between the sides of the similar triangles.

For more such questions on similar triangles, click on:

https://brainly.com/question/14285697

#SPJ8

The probable question may be:

Based on the given line graph and shaded triangles that are similar, analyze the relationship between the variables represented on the graph and determine the corresponding values or trends. Additionally, explain any patterns or insights that can be derived from the similarity of the shaded triangles.

please help asap! will give 20 points

please help asap! will give 20 points

Answers

Answer:

its 84 I did the math for you

84 DONT FORGET TO LABEL YOU WILL GET DICKED OFF FOR THAT I GOT DOCKED OFF A POINT FOR FORGETTING TO LABEL anyone hope you get it right

Quiz
Active
2.
Which net can be folded to form a pyramid?

Answers

Answer:

Where are the options?

Is 2.42 with the 2 repeating a rational number??

Answers

Answer:

Yes the 2 is a repeating rational number

Step-by-step explanation:

Any number that repeats the same sequence or digit forever and ever in a decimal expansion (or in the equivalent expansion in another base) is rational.

MARK BRAINLIEST

Yes 2.42 with the 2 repeating is a rational number with recurring decimals .

Given, number 2.42 .

Rational number : It is a ratio of two integers with denominator not equals to zero .

Any number that repeats the same sequence or digit forever and ever in a decimal expansion is rational.

Fraction form of 2.42:

\(=\frac{242}{100} \\\\= \frac{121}{50}\)

Thus it is a ratio of two integers with denominator not equals to zero .

As 2 is repeating in decimal form number is rational number with recurring decimals .

Therefore 2.42 with the 2 repeating is rational number with recurring decimals .

Know more about rational number, here:

https://brainly.com/question/17450097

#SPJ3

What does the digit 7 represent in 701, 280?
O Seven hundred
O Seventy thousand
Seven hundred thousand
Seven thousand

Answers

Answer: seven hundred thousand

Answer:

The 7 represents the 10,000

Step-by-step explanation:

Its not the hundred because the 2 in 280 is

tossing a fair die is an experiment that can result in any integer number from 1 to 6 with equal probabilities. let x be the number of dots on the top face of a die. compute e(x) and var(x).

Answers

The expected value of x is 3.5 and the variance is 2.91. Thus, the result of tossing a fair die has an expected value of 3.5 and a variance of 2.91.

The expected value, e(x), of the number of dots on the top face of a die is calculated by taking the sum of all possible outcomes multiplied by their respective probabilities. The probability of each outcome, from 1 to 6, is 1/6. Therefore, the expected value is

\((1*1/6)+(2*1/6)+(3*1/6)+(4*1/6)+(5*1/6)+(6*1/6) = 3.5\)

The variance, var(x), is calculated by taking the sum of the squares of the differences between each outcome and the expected value, all multiplied by their respective probabilities. The variance is

\((1-3.5)^2*1/6+(2-3.5)^2*1/6+(3-3.5)^2*1/6+(4-3.5)^2*1/6+(5-3.5)^2*1/6+(6-3.5)^2*1/6\\=2.91.\\\) Thus, the result of tossing a fair die has an expected value of 3.5 and a variance of 2.91.

Learn more about variance here

https://brainly.com/question/13708253

#SPJ4

The tape diagram shows that shanice spent 120 minutes researching for debate club last week?

The tape diagram shows that shanice spent 120 minutes researching for debate club last week?

Answers

Time that is 100% of 120 minutes is 120 minutes.

Time that is 10% of 120 minutes is 12 minutes.

Time that is 110% of 120 minutes is 132 minutes.

What are the times?

Percentage is the  fraction of an amount that is usually expressed as a number out of hundred. In order to convert a number as a percentage, multiply the fraction of the number by 100. The sign used to represent percentages is %. Percentages are a measure of frequency.

Time that is 100% of 120 minutes = (100 / 100) x 120 = 120 minutes

Time that is 10% of 120 minutes = (10 / 100) x 120 = 12 minutes

Time that is 110% of 120 minutes = (110 / 100) x 120 = 132 minutes

To learn more about percentages, please check: https://brainly.com/question/25764815

#SPJ1

Answer: 100% of 120 is 120 Minutes

               10% of 120 is 12 Minutes

               110% of 120 is 132 Minutes

Step-by-step explanation:

There you go!

evaluate -5+(-3)^2+2

Answers

Answer:6

Step-by-step explanation:at first calculate (-3)^2=9

then 9+2=11

finally the answer is 11-5=6

Answer:

6

Step-by-step explanation:

Given Problem:

\(-5+(-3)^2+2\)

Using the PEMDAS order of operation:

P - Parentheses

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

Thus, Solving in parentheses first.

\(-5+(-3)^2+2\)

\((-3)^2=9\)

\(-5+9+2=\)

\(-5+11=\)

\(6\)

Hence, the answer to \(-5+(-3)^2+2=6\)

RevyBreeze

All quesions please. As fast as possible would be nice

All quesions please. As fast as possible would be nice

Answers

Answer:

Vhjaakkjvvkllmn aar

Step-by-step explanation:

Vbkisavn

Vhikjsqiol

NG Jill quolk

Hill s njknbn

-14x+y=7 in slope intercept form

Answers

y = 14x +7

Step-by-step explanation:

-14x+y=7

+14x +14x

y=14x+7

Determine which integers in the set S: {−2, −3, −4, −5} will make the inequality 4p − 7 ≥ 9p + 8 true.

PLS HELP ME

Answers

The integers in the set s: {-2,-3,-4,-5} will make the inequality 4p-7 \(\geq\) 9p+8 true are : -3, -4, -5

Let's solve the inequality first

4p -7 \(\geq\)  9p  +8

Taking p's on the same side we will get :

-7 - 8 \(\geq\) 9p - 4p

-15 \(\geq\) 5p

Divide by 5 into both sides

-3 \(\geq\) p

i.e. p \(\leq\) -3

Therefore p must be less than or equal to -3

From the set, we have the numbers -3,-4,-5 which are less than or equal to -3

Hence the integers -3,-4,-5 will make the  inequality 4p-7 \(\geq\) 9p+8 true

To learn more about inequality:

https://brainly.com/question/30238989

Set up the appropriate equation to solve for the missing angle.

Set up the appropriate equation to solve for the missing angle.

Answers

Using the Pythagorean Theorem, we know x^2 + 46^2 is equal to 65^2. With that in mind, it is important to note:

65^2 = 4,225
46^2 = 2,116

To find the missing angle, we must subtract 2,116 from 4,225 and then identify the difference’s square root.

4,225 - 2,116 = 2,109

√2,109 ≈ 45

Hence, x ≈ 45.

Answer:

Using the Pythagorean Theorem, we know x^2 + 46^2 is equal to 65^2. With that in mind, it is important to note:

65^2 = 4,225

46^2 = 2,116

To find the missing angle, we must subtract 2,116 from 4,225 and then identify the difference’s square root.

4,225 - 2,116 = 2,109

√2,109 ≈ 45

Hence, x ≈ 45.

Step-by-step explanation:

Select the graph that correctly displays the solution of the system of inequalities. y > 2x – 4 y ≤ –x – 7

Answers

The solution to the system of given inequalities is (-7, 0).

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given system of inequalities are y> 2x-4 and y≤ -x-7.

The solution of the system of inequalities is the intersection region of all the solutions in the system.

x<y/2 +2 and x≤-y-7

The solution of the system of inequalities is (-7, 0)

Therefore, the solution to the system of given inequalities is (-7, 0).

To learn more about the inequalities visit:

https://brainly.com/question/20383699.

#SPJ1

Select the graph that correctly displays the solution of the system of inequalities. y &gt; 2x 4 y x

Someone please help me fast! here is screenshot algebra. QUICK PLSSS

Someone please help me fast! here is screenshot algebra. QUICK PLSSS

Answers

Answer:

\(\displaystyle{f(x)=3^x-5}\)

Step-by-step explanation:

Being translated up-down means that the value exists outside of x. Therefore, we can cancel B and C choice since those are horizontal (left-right) translation.

Our only choice is A and D. However, D is being translated up since it's +5. Thus, the only correct answer that a function is being translated down is:

\(\displaystyle{f(x)=3^x-5}\)

or A choice.

carla is building a box shaped like a rectangular prism. she will cover each side of the box with a mirror. If the height of the box is 16 inches, how many square inches of a mirror will Carla need to cover all sides of the box?

Answers

ANSWER:

Carla needs 1288 square inches of mirror

STEP-BY-STEP EXPLANATION:

We have that the surface area of a rectangular prism is calculated as follows:

\(\begin{gathered} A=2\cdot l\cdot w+2\cdot l\cdot h+2\cdot h\cdot w \\ l=14 \\ w=14 \\ h=16 \end{gathered}\)

replacing:

\(\begin{gathered} A=2\cdot14\cdot14+2\cdot14\cdot16+2\cdot14\cdot16 \\ A=2\cdot14\cdot14+4\cdot14\cdot16 \\ A=392+896 \\ A=1288 \end{gathered}\)

Please help thank you if you do!!

Please help thank you if you do!!

Answers

9514 1404 393

Answer:

  1 1/5 hours walking to 1 hour jogging

Step-by-step explanation:

You can multiply by 3 to eliminate the fraction, then reduce in the usual way.

  4 ÷ (3 1/3)

  = 12 ÷ 10 . . . . . . . multiply both numbers by 3

  = 1 2/10 = 1 1/5 . . . . do the division by 10

What three consecutive integers have a sum of 12?; What is the sum of 3 consecutive integers?; What is the formula for 3 consecutive integers?; What are the consecutive numbers of 12?

Answers

The three consecutive numbers that have a sum of 12 is 3, 4 and 5. The formula for calculation is x + x + 1 + x + 2 = 12.

Let the first number in three consecutive numbers be x. So, the next two numbers will be (x+1) and (x+2). Now, their sum wil be represented as mathematical equation -

x + x + 1 + x + 2 = 12

Performing addition on Left Hand Side of the equation

3x + 3 = 12

Rewriting the equation

3x = 12 - 3

Performing subtraction on Right Hand Side of the equation

3x = 9

x = 9/3

Performing division on Right Hand Side of the equation

x = 3

So, next number = x+1

Second number = 3+1

Second number = 4

Third number = x+2

Third number = 3+2

Third number = 5

Hence, the three consecutive numbers are 3, 4 and 5.

Learn more about consecutive numbers -

https://brainly.com/question/26352026

#SPJ4

help please it's due tomorrow

help please it's due tomorrow

Answers

SolutioN:-

\( \{ \: \alpha \: , \: \beta , \: a, \: b \}\)

\( \sf \longrightarrow \: No. \: of \: \: subsets = {2}^{n} \)

where, n denotes to number of elements in set .

Since, given set contains 4 elements .

Thus , 2⁴ {2 raise to power 4} .

\( \sf \longrightarrow \: No. \: of \: \: subsets = {2}^{4} \)

\( \sf \longrightarrow \: No. \: of \: \: subsets = 2 \times 2 \times 2 \times 2\)

\( \sf \longrightarrow \: No. \: of \: \: subsets = 4 \times 4\)

\( \sf \longrightarrow \: No. \: of \: \: subsets = 16\)

Therefore, Required subsets are 16.

They are , Namely;

\( \sf \longrightarrow \: subsets \: = \phi \: \{ \alpha \} \{ \beta \} \{ a\} \{ b\} \: \{ \alpha \beta \} \{ \alpha a\} \{ \alpha b\} \{ \beta a\} \{ \beta b\} \: .....\)

_____________________________

Additional Information:-

If n is the number of elements in the set then,

No. of subsets possible for this subset is 2^n that's the (2 raise to the power n).

Let's take another example, {1,2}

Here, n = 2

subsets =2^2 =4

Subsets = ϕ, {1}, {2},{1,2}

Note :- every set is a subset of itself i.e. {1,2} and ϕ is a subset of every set

Mr . Owen's boat weighs 2.5 tons. What is the weight of the boat in pounds?​

Answers

Answer:

The boat weighs 5000 pounds

Simplify 9(30 - 2). I will mark you brian list just plz help i need a A+

Answers

Answer:

252

That is the answer to the problem

Answer:252

Step-by-step explanation:

30-2= 28 and then  mutiply by 9 so 28*9 equals 252

What next number 3 4 6 9 13 18 24

Answers

Answer:

I think it 31

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

3+1=4

4+2=6

6+3=9

9+4=13

13+5=18

18+6=24

24+7=31

you start with one 3+1=4but everytime you add you add an extra 1

Two hot-air balloons, one red and one blue, took off at the same time from different platforms. Each began ascending at a constant rate. The following equation gives the height (in meters) of the red hot-air balloon as a function of time (in seconds). h=1/2t+4 The height (in meters) of the blue hot-air balloon as a function of time (in seconds) is given by the following table of values: (Table is attached) Which balloon started at a greater height? A. The red balloon B. The blue balloon C. They are both the same height

Two hot-air balloons, one red and one blue, took off at the same time from different platforms. Each

Answers

Answer:

1. the red balloon

2.they both ascended at the same rate

Step-by-step explanation:

Answer:

1.red

acended

Step-by

please help its practice i really need it​

please help its practice i really need it

Answers

Answer:

1/5

Step-by-step explanation:

Two observation points, A and B, are 1500 feet apart. From these points, the angles of elevation of a hot-air balloon are 43 degrees and 47 degrees. Find the height of the balloon to the nearest feet.​

Two observation points, A and B, are 1500 feet apart. From these points, the angles of elevation of a

Answers

The height of the ballon is 10725 when it is solved to the nearest feet given that Two observation points, A and B, are 1500 feet apart.

How to solve for height

The angle on a straight line = 180

x + 47 = 180

x = 180 - 47

x = 133 degrees

The sum of all the angles in a triangle = 180 degrees

A + B + C = 180 degrees

43 + 133 + c = 180 degrees

C = 180 - 43 - 133

C = 4 degrees

Using the sine law, we would have

sin(4°)/1500 = sin(43°)/BC

from here we would have to cross multiply to get BC

BC =  14665.270

Then sin(47°) = h/AB

h = 14665.270 sin(47°)

= 10725

The height of the balloon to the nearest feet is 10725

Read more on height here:https://brainly.com/question/73194

#SPJ1

Javina is at the store buying cheese. The cost of the cheese
is $0.44 per ounce. She buys 10 ounces of the cheese.
How much money does Javina spend on the cheese?
$9.00
B
$4.50
C $4.40
$8.80

Answers

Answer: $4.40

Step-by-step explanation:

10 times 0.44 equals 4.40

Answer:

Step-by-step explanation:

c 10 times 0.44= 4.40

Use the given zero to find the remaining zeros of the polynomial function.
P(x) = 2x3 − 5x2 + 6x − 2; 1 + i

Answers

Using the given zero . The three zeros of the polynomial function are 1 + i, 1 - i, 1/2, and 2.

What is the polynomial function?

If 1 + i is a zero of the polynomial function P(x), then its conjugate, 1 - i, must also be a zero of the polynomial, since complex zeros of polynomial functions with real coefficients always come in conjugate pairs.

To find the remaining zero, we can use polynomial division or synthetic division to divide P(x) by (x - 1 - i)(x - 1 + i), which is the quadratic factor corresponding to the two known zeros:

      2x^2 - 3x + 2

P(x) = --------------

       (x - 1 - i)(x - 1 + i)

Now we need to solve for the roots of the quadratic factor 2x^2 - 3x + 2. We can use the quadratic formula:

x = [3 ± sqrt(9 - 4*2*2)] / (2*2)

 = [3 ± sqrt(1)] / 4

 = 1/2 or 2

Therefore, the remaining zeros of P(x) are 1/2 and 2. The three zeros of the polynomial function are 1 + i, 1 - i, 1/2, and 2.

Learn more about  polynomial function here:https://brainly.com/question/2833285

#SPJ1

What is the area of a circle with radius 10 inches?

Answers

Hello There! GraceRosalia is here for you!

The formula ffor finding the area of a circle is

A=πr²

We are given that r=10, so we plug it into the formula:

A=π100

Multiply:

A=314.2

Hope it helps!

*\(GraceRosalia\)

_______

Additional Comment

If you found this answer helpful, please mark Brainliest! :)

Get brainiest if right!!

Get brainiest if right!!

Answers

Answer:

4 1/8 units

Step-by-step explanation:

I believe this to be so if these points were on a number line. You would add the two points together to get the distance between the two points.

whats the the answer -x/3 = 2

Answers

Answer:

-6

Step-by-step explanation:

-x/3=2

Multiply both sides by 3:

-x=6

Divide both sides by -1:

x=-6

Hope this helps!

Other Questions
evaluate f(2) from the chart I WILL GIVE BRAINLIESTAn NFL playing field is a rectangle. The length of the field (excluding end zones) is 40 yards more than twice the width. The perimeter of there playing field is 260 yards. What are the dimensions of the field in yards? help please!!! A rectangle has a length twice its width. Its diagonal is the square root of 45 cm. What are the length and width of the rectangle? Under thermal decomposition potassium chlorate degrades into potassium chloride and oxygen, by the following chemical 2KCIO3 (s) >2KCI (s) +O2 (g) 850 mL of oxygen is produced when some amount of KCIO3 reacts and is consumed completely. If the reaction is run at a pressure of 1.05 atm and 27.00 C, how many grams of KCIO 3 reacted? science1. Differentiate average speed from instantaneous speed2. Relate motion and road safety. As students, how can you promote road safety3. Differentiate short-range from long-range motion detectors. Conduct a research and enumerate the motion detectors installed in your school or community.4. How can you be a motion detector in your own simple way? pls help !!!!!!!!!!! The Federal government offered the Republic of Texas the option to join the United States on December 29, 1845, at the end of the administration of President ________________.John Tyler A ball of mass 0.25 kg falls from a height of 50 m. Using energy considerations, find the final velocity. Let g = 9.8 m/s2With Explanation pleasea. 2.97m/sb. 21.0m/s c. 33.3 m/s d. 44.1m/s your aunt is staying in a very unhappy marriage because she has invested 15 years of her life in her partner. what problematic decision-making process is she using? 3. Define a function S(p) as follows: S(p) = p/2 if 0 < p < 20; S(p) = 2p/3-10 if 20 < p < 40; S(p) = 4p/3-110/3 if 40 Given the triangle below and the equation: sin A = 3/5.Determine the value of b. find the value of x. A benchmark executed in a five-stage pipelined processor has the following characteristics: 41% ALU instructions 25% load instructions 84% of the loads are immediately followed by instructions that use the data being loaded 18% of these loads are followed by stores. Let us assume that the destination register for the load instruction is Ry. For the store instructions which have dependencies on the loads: 64% of the stores have the form: (sw Ry, 0(Rx) // M[Rx] Find the greatest common factor of 28 and 63 Gravimetric Analysis1. 8.5g of a metal halide salt was dissolved in water and reacted with excess silver nitrate solution.13.34g of a cream precipitate was produced.a) Identify the halide ion present in the metal halide.b) Calculate the number of moles of silver halide precipitated and hence deduce the number of moles ofhalide ion present in the metal halide salt.c) Calculate the mass of halide present in the metal halide salt and hence find the percentage mass ofhalide in the salt. ________ designed the obedience study to test if subjects would give ""learners"" electric shocks when they missed test questions. Las levaduras son microorganismos usados en la industria alimentaria en diversos procesos, uno de ellos es la fermentacin del azcar para producir alcohol, tal como se representa en el esquema. LEVADURA + AZCAR + CALOR Dixido de carbono + alcohol Por qu este proceso se considera una reaccin qumica? *Porque solamente hay un aumento de temperatura.Porque el azcar cambia de estado.Porque el azcar se transforma en otra sustancia.Porque el alcohol se evapora rpidamente. Can someone plz help Me? Helppp me with this math problem HELP WHAT IS THE EQUATION !????