four times the sum of some number plus 1 is equal 12 times the difference of the number and 3. Find the number

Answers

Answer 1
The value of x is equal to 2.

4(x + 1) = 12(3 - x)

Distributive property on both sides.

4x + 4 = 36 - 12x

Add 12x to both sides.

16x + 4 = 36

Subtract both sides by 4.

16x = 32

Divide both sides by 16.

x = 2


Related Questions

Simplify |x| - |-x|.

0
2x
x2

Answers

the answer to the question is 0

What is 7.33, 2.66, 6.88, 4.71, 4.13, 4.77, 1.76, 3.98, 3.44, and 3.66 rounded to the nearest tenth.

Answers

7.3
2.7
6.9
4.7
4.1
4.8
3.7

7.33=7.30

2.66=2.70

6.88=6.90

4.71=4.70

4.13=4.10

4.77=4.80

1.76=1.80

3.98=4.00

3.44=3.40

3.66=3.70

hope i could help ya out!! :)

a company produces tables determines that its cost of producing and selling x tables is given by the function C(x)=50x+3000. the company is going to sell the bats for $70 per bat. how many table must be sold for the firm to break even

Answers

Cost of producing and selling x tables is given by the function C(x)=50x+3000

x is the number of tables produced

Each table is sold for $70

So selling price of x tables S(x) = 70x

Now we find the number of table must be sold for the firm to break even

Break even occurs when selling price = cost price

That is S(x) = C(x)

70x = 50x + 3000

Subtract 50x on both sides

20x = 3000

x = 150

150 tables  must be sold for the firm to break even

How does the distributive property work

Answers

ok, lets start with the basics:

the distibutive property is very simple once you get used to it!

distibutive just means when you both multiply and add in the same problem( mostly with Peranthisys.

lets start with a basic problem:

5(3+4)

because you have the five bumped up against the peranthysys, you "distribute" the problem (you multiply 5 by the numbers present.

for example, once you multiply, you should get this:

5(3+4)

15+20

all i did was multiply the numbers inside! now the Peranthisys disapear!

now all you do is add!

15+20=35

35 is your answer.

NOTE:This is just simple distributing, once variables get involved, it changes a little...


Hope this helps!!!

At the city museum, child admission is $6.40 and adult admission is $9.70 . On Wednesday, twice as many adult tickets as child tickets were sold, for a total sales of $980.40 . How many child tickets were sold that day?

Answers

you start with
[tex]980.40 \div 2[/tex]
then you get 480.2 and divide it by the amount of a normal child ticket
[tex]490.2 \div 6.40[/tex]
then after that your final answer is 76.5 but you have to round it to 77 kids

Write the equation of the horizontal line given m = 0 that passes through the point (3,-2).


Answers

Answer:

y = -2

Step-by-step explanation:

Since the line is horizontal, all points have the same y-coordinate, -2. The y-intercept is the point (0, -2), so b = -2. The line is horizontal, so the slope is m = 0 which is given.

Use the slope-intercept form of the equation of a line and plug in the information you have.

y = mx + b

y = 0x + (-2)

y = -2

What is the answer ? is 5 6 7 8 8 9 8 8 8 8 8 4 4 4 4 4 4 4 4 4 4

Answers

I might be right or not but i am 50% sure that the answer is:

6 kilometers.

please tell me if im wrong!

Answer:

Likely 6 kilometers, sorry if I am incorrect.

Step-by-step explanation:

If this is measuring displacement, it SHOULD be 6 km

There were 630 concert tickets sold. Each ticket cost $21. How much money was raised from selling the tickets

Answers

Answer:

$13,230

Step-by-step explanation:

you need to multiply the cost of the ticket by the amount of tickets sold,

630 x 21 = $13,230

i cant seem to figure this out please help. and if its okay may you please put in steps?
Where is the error with this solution?

2 + 3 * (5 + 4)

Step 1: 2 + 3 * 9

Step 2: 5 * 9

Step 3: 45

Step # =

Answers

The error happens in step 2 when the person decided to add 2+3 to get 5. The order of operations PEMDAS says that we have to do multiplication (M) before addition (A). So this is what the steps should look like:

2+3*(5+4)

2+3*9

2+27

29

The proper answer is 29

Step 2 is wrong because you have to multiply first which suppose to be 2+21

Evaluate the limit ....

Answers

It depends on how t is approaching 2.

In fact, if you consider the right limit, you have

[tex] \displaystyle \lim_{t \to 2^+} \dfrac{2-t}{|t-2|} [/tex]

But since t is greater than 2, t-2 is positive, and thus |t-2| = t-2.

So, the limit becomes

[tex] \displaystyle \lim_{t \to 2^+} \dfrac{2-t}{t-2} = \lim_{t \to 2^+} -1 = -1 [/tex]

On the other hand, if you consider the left limit, you have

[tex] \displaystyle \lim_{t \to 2^-} \dfrac{2-t}{|t-2|} [/tex]

But since t is less than 2, t-2 is negative, and thus |t-2| = -t+2.

So, the limit becomes

[tex] \displaystyle \lim_{t \to 2^+} \dfrac{2-t}{-t+2} = \lim_{t \to 2^+} 1 = 1 [/tex]

So, this limit does not exist, because the left and right limits exist but are not the same.

What is -8/15 as a decimal

Answers

-0.533333333

-hope this helps


Factor the expression, show work

3x^3 - 4x^2 - 15x - 20

Answers

It can't be factored due to many reasons.



I hope this helps. :)

3x^3 - 4x^2 - 15x - 20

Cannot be factored.

Hope that helps

complete the solution of the equation. fine the value of y when x equals 4.

-3x+9y=-57

Answers

y = - 5

substitute the value of x = 4 into the equation and solve for y

- 12 + 9y = - 57 ( add 12 to both sides )

9y = - 45 ( divide both sides by 9 )

y = [tex]\frac{-45}{9}[/tex] = - 5


-3(-4)+9y=-57

12+9y=-57

9y=-57-12

9y=-69

9y/9=69/9

y=-23/3

Can anyone awnser 32.436÷(-4.24) as a fraction?

Answers

Hello, here are the fraction forms for this equation

Irrational fraction form; -153/20

Mixed number form; -7 13/20

Hoped this helped

Final answer:

The answer to 32.436 divided by -4.24 is approximately -7.65. However, the conversion of this decimal to a fraction gives us approximately -77/10.

Explanation:

To answer the question, 32.436÷(-4.24) as a fraction, first, we should perform the division operation. The division of a positive number by a negative one will give a negative result. Hence, 32.436 divided by -4.24 is -7.65 approximately.

The answer as a decimal is -7.65. However, translating this decimal to a fraction isn't straightforward while keeping it a meaningful fraction, because 7.65 isn't easily expressed as a fraction. If you needed to express it as a fraction, you might round this to -77/10. But it's important to note it's an approximation, not exact.

Thus, 32.436÷(-4.24) becomes approximately -77/10 when expressed as a fraction.

Learn more about Division and Fraction Conversion here:

https://brainly.com/question/31738948

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PLEASE EXPLAIN THIS TO ME

Answers

it is y cause i just did that with my student


If f(x)=x/2+8 what is f(x) when x=10

Answers

Hey there,

So the answer is 13.


The explanation is:

We are asked to find f(10), so let's evaluate this function at 10 by plugging this in for x.


So, as we know about the 10, the f(x) is going to be this- f(10).

We put f(10)= 10 over 2 + 8= 5+8 = 13

We have to flip the 8.

So you answer should be 13


Hope this helps...


-Justin0208





84 is 60% of what number?

Answers

To convert a percent to a decimal, you divide by 100.


60% = 0.60


If x is the unknown number, the word is means equal


84 = 0.60 * x


Divide both sides by 0.60


84/0.60 = (0.60/0.60)* x = x


140 = x

x * .60 = 84

x = 84 / .60

x = 140


100.7 x 0.009 (basic math im in 5th grade)

Answers

Answer

0.9063

Step-by-step explanation:

(100.7)*(0.009)

The result of multiplying 100.7 by 0.009 and rounding to the hundredths place is 0.91, considering that you round up when the next digit is 5 or greater.

When multiplying 100.7 by 0.009, a calculator might show an extended result such as 0.9063. However, if we need to report our answer rounded to the hundredths place, we would need to consider the digit in the thousandths place to determine whether to round up or down. In this case, the digit to be dropped is a 7, which is greater than 5, so we would round up for our final answer.

Thus, after rounding, the final answer would be 0.91.

Determine the largest integer value of xxx in the solution of the following inequality.
−4x−5>-4

Answers

x<0.25 I'm pretty sure that is the answer

Is it 20?? I'm severely confused by this question too lol.

Maya works at adventure fun park she notices that the daily number of tickets sold at the park varies with the daily high temperature what is the dependent variable in this relationship

Answers

number of tickets sold is the dependent bc it changes when the temp changes
Final answer:

In the given scenario, the dependent variable is the daily number of tickets sold at the adventure fun park where Maya works. This changes based on the independent variable, which is the daily high temperature.

Explanation:

In the scenario where Maya works at an adventure fun park and notices a change in the daily number of tickets sold depending on the daily high temperature, the dependent variable is the daily number of tickets sold at the park. This means that the number of tickets sold relies on or 'depends on' another factor, which in this case, is the daily high temperature. The daily high temperatures are the independent variable - the variable that signifies what changes can impact the other variable, the dependent variable.

Learn more about Dependent Variable here:

https://brainly.com/question/33601434

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The cast of the school play had a party at the drama teachers house.There were 20 cookies and 40 carrot sticks served as refreshments.Each cast member had the same amount of whole carrot sticks. Nothing was left over and the drama teacher did not eat. How many cast members might have been at the party??

Answers

60/4=15 and 20/4=5 there were 4 cast members at the party and they each ate 15 carrot sticks, your welcome

The cast members might have been at the party are

20 members – each gets 1 cookie and 2 carrot sticks, or 10 – each gets 2 cookies and 4 carrot sticks, or 5 – each gets 4 cookies and 8 carrot sticks, or 4 – each gets 5 cookies and 10 carrot sticks, or 2 – each gets 10 cookies and 20 carrot sticks, or 1 – gets it all: 20 cookies and 40 carrot sticks

What is refreshments?

Something to eat or drink during an event such as a meeting or party. . A more alert and comfortable state, especially after eating or drinking.

Finally the word "refreshment". While English adapted the term in the 15th century from several Gallic sources, according to the OED it meant the physical refreshment of a person or thing  by  food, drink, rest, coolness, etc.

Enjoying refreshment is a welcome break in the world of the day, and it also means that we leave working time for social elements, sharing coffee improves the  mood and has a uniting effect, we are better able to deal with problems that arise within the team.

To learn more about refreshment, refer;

https://brainly.com/question/23702175

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The frequency table shows the favorite college football teams of middle school students what fraction of the students choose the Sooners write the fraction as a decimal

Answers

what does the table look like


Fuaad solved an absolute value inequality and expressed the solution as -12 < x > 7. What is another way to show Fuaad’s solution?

Answers

Solution: The another way to show the Fuaad's solution is [tex]x>7[/tex].

Explanation:

It is given that the solution of an inequality is [tex]-12<x>7[/tex].

It can be break in two parts [tex]-12<x[/tex] and [tex]x>7[/tex].

The inequality [tex]-12<x[/tex] means the values of x is greater than [tex]-12[/tex] and the inequality [tex]x>7[/tex] means the value of x is greater that than 7.

When we combine both results we get [tex]x>7[/tex] it means the value of x is greater than 7.

It can also represented by number line as shown in given figure.

The number line shows the values of x and red lines shows the solution of both inequalities [tex]-12<x[/tex] and [tex]x>7[/tex].

The common region shows the combination of both the possible inequalities, therefore the  another way to show the Fuaad's solution is [tex]x>7[/tex].

Answer:

C (btw its x less than 7)

Step-by-step explanation:

Becuase the first option represents that the arrows go separate ways to infin.

the second option states that one variable is greater than of equal to and the other is only <

the third correctly shows and represents the inequality

the fourth one has the OR which means a number that is plugged in only needs to satisfy one of the inequalities which is not the point.

2x-1=3/4x +9 please help me solve

Answers

8x-4=3x+36
8x-3x=36+4
5x=40
X=8
Hope this help you!

Hi!

[tex]2x-1=\frac{3}{4x+9}[/tex]

[tex]2x(4x+9)-1*(4x+9)=\frac{3}{4x+9}(4x+9)[/tex]

[tex]2x(4x+9)-(4x+9)=3[/tex]

[tex]2x(4x+9)-(4x+9)=3[/tex]

[tex]x=\frac{\sqrt{145-7} }{8},x=-\frac{7+\sqrt{145} }{8}[/tex]

[tex]x=\frac{\sqrt[]{145-7} }{8}, or x=-\frac{7+\sqrt{145} }{8}[/tex]

Explanation: First you had to multiply by 4x+9 from both sides. Then simplify, it gave us 2x(4x+9)-(4x+9)=3. Next you can also solve 2x(4x+9)-(4x+9)=3. And the answer it gave us is x=√145-7/8 or x=-7+√145/8 is the right answer. Hope this helps! And thank you for posting your question at here on Brainly. And have a great day. -Charlie

2 - 4(x + 7) = 3 + 2 (x + 2)

Answers

[tex]2 - 4(x + 7) = 3 + 2 (x + 2)\\\\2-4x-28=3+2x+4\\\\6x=-33\\\\x=-\dfrac{33}{6}=-\dfrac{11}{2}[/tex]

What is 30 divide by 8,350

Answers

The Answer is 0.00359281437 Hope this helps :D

How do i write 3x-3y=18 in function notation

Answers

First you would have to isolate y.
3x - 3y = 18 -----> Subtract 3x from both sides
-3y = -3x + 18 --------> Now divide both sides by -3
y= x - 6

Now you replace the y with an f(x)
f(x) = x - 6
[tex]<b>HEY THERE!![/tex]

Given function:- 3x-3y=18

=> 3(x-y)= 18

Now divide by 3 on both sides.
=> x-y = 6

Now subtract with x on both sides
=> -y = 6-x

Divide by - from both sides.
=> y = x-6
or f(x)= x-6

HOPE IT HELPED YOU.

What is the smallest power of 10 that would exceed 234,567,890?

Answers

Questions is asking about what is the smallest power of 10 that would exceed 234,567,890.

To find that first we need to check how the powers of 10 changes the size of number. So let's find poers of 10 as shown below:

[tex]10^1=10[/tex]

[tex]10^2=100[/tex]

[tex]10^3=1000[/tex]

[tex]10^4=10000[/tex]

[tex]10^5=100000[/tex]

[tex]10^6=1000000[/tex]

[tex]10^7=10000000[/tex]

[tex]10^8=100000000[/tex]

On this pattern we see that as the exponent increases by 1 then a zero increases in the output.

In given number 234567890, there are 9 digits. So we need at least 9 zeroes which is

1000000000 or [tex]10^9[/tex]

Clearly 1000000000 exceeds 234567890.

Hence the final answer is that exponent of 10 will be 9.

The gravitational attraction between two masses varies inversely as the square of the distance between them. If the attraction force between them is 75 lbs. when the bodies are eight feet apart, find the attraction when the masses are twelve feet apart.
a) 33 1/3 lbs. b) 50 lbs. c) 168 3/4 lbs.

Answers

Answer: Option a) 33 1/3 lbs

Solution:

Be

Attraction force (F) varies inversely as the square of the distance between them:

F=k/d^2

Constant of proportionality: k

Distance between the two masses: d

F=75 lbs when d=8 feet

Replacing in the formula above:

F=k/d^2

75 lbs=k/(8 feet)^2

Squaring in the denominator:

75 lbs=k/(64 feet^2)

Solving for k: Multiplying both sides of the equation by 64 feet^2:

(64 feet^2)(75 lbs)=(64 feet^2)[k/(64 feet^2)]

4,800 lbs*feet^2=k

k=4,800 lbs*feet^2

F=k/d^2

F=4,800 lbs*feet^2/d^2

Find the attraction when the masses are twelve feet apart:

F=?

d=12 feet

Replacing in the formula:

F=4,800 lbs*feet^2/(12 feet)^2

Squaring in the denominator:

F=4,800 lbs*feet^2 / (144 feet^2)

Dividing:

F=(4,800/48)/(144/48) lbs

F=100/3 lbs

F=(99+1)/3 lbs

F=(99/3+1/3) lbs

F=33 1/3 lbs

Final answer:

Using Newton's inverse square law for gravitational force, it is determined that the force of attraction will be a) 33 1/3 lbs when the distance between the masses is increased from 8 to 12 feet.

Explanation:

The scenario described falls under the gravitational force law stated by Isaac Newton, which is a fundamental concept in Physics. The force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them (F ∝ 1/d²). We are given that the gravitational attraction is 75 lbs when the bodies are 8 feet apart. To find the force at a distance of 12 feet, we use the inverse square law which indicates that increasing distance reduces gravitational force.

Let F1 be the initial force and d1 be the initial distance, and let F2 be the force at a new distance d2. According to the inverse square law, we have F1/F2 = (d2/d1)². Plugging in the values F1 = 75 lbs, d1 = 8 feet, and d2 = 12 feet, we get 75/F2 = (12/8)² = 2.25. Solving for F2, we find that F2 = 75 / 2.25 = 33.33 lbs.

Therefore, the gravitational attraction when the masses are twelve feet apart is 33 1/3 lbs.

The cost of gallon of orange juice is $3.50 what is the maximum number of containers you can buy for $15?

Answers

1 gallon - 3.5 $

x gallons - 15 $


X= (1×15)/3.5=4.3


You can't buy a third of gallon, so the maximum number is 4


Answer: 4 gallons

Make an equation to solve this problem. The cost of a gallon of orange juice is $3.50, so we can show this using the expression 3.50o, where o represents the number of gallons of orange juice that someone buys.

We can put the expression 3.50o into an equation, and make the expression equal to 15 because that is the amount of money you supposedly have.

3.50o = 15, divide both sides of the equation by 3.50.

o = 4.28571428571, but you cannot have a fraction or decimal of a gallon of orange juice, so we would always round these kinds of problems down to the nearest whole number.

4.28571428571 rounds down to 4 gallons of orange juice, so the answer is 4 gallons of orange juice is the maximum amount you can buy with $15.

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