Six times a number equals 3 times the number, increased by 12. Find the number

Answers

Answer 1

Answer:

x=4

Step-by-step explanation:

"A number" can be rewritten as X:

6x=3x+12

1) subtract 3x on both sides:

3x=12

2) divide both sides by 3:

x=4


Related Questions

Solve “X^2 -4x+5 using the discriminant formula b^2-4AC

Answers

Answer:

a= 1

b= -4

c = 5

(-4)^2 - 4(1)(5)

16-20= -4 no solution

Find the least
common denominator
3/5+4/7​

Answers

Answer:

35

Step-by-step explanation:

5*1=5  5*2=10  5*3=15  5*4=20 5*5=25  5*6=30  5*7=357*1=7  7*2=14  7*3=21  7*4=28  7*5=35

-5/9 is no less than five times a number

Answers

Answer:

I assume you want an equality: -5/9 >= 5x,  -1/9>=x

what is the decimal equivalent to 8/3

a 2.6
b 0.375
c2.6666666666666
d8.3

Answers

Answer:

C. 2.6666666666666

Step-by-step explanation:

You can estimate.

We know that 3 * 2 = 6.

So, we know that The decimal is at least 2.

We can cancel out B and D.

2.6 * 3 = 7.18

So, we can cancel out A.

Just to make sure, let's try C.

2.6666666666666 * 3 = 7.999999...

This is the closest answer to 8.

So, our answer is C.

C. 2.6666666666666

when full the gas tank of a car holds 15 gallons. it now contains 12 gallons. what percent represents how full the tank is?

Answers

Hello!

to find the percent of a whole, use this equation here:

(remaining) / (total) = X

X * 100 = %

in this case:

12 / 15 = 0.8

0.8 * 100 = 80

your answer is 80%

I hope this helps, and have a nice day!

The table shows results for the 100 meter sprint.
Who had the fastest time?
Athlete Time (s)
Bryson
12.14
Malik
11.84
Marcell
11.94
Wyatt
12.44

Answers

Answer:

malik

Step-by-step explanation:

the fastest time would be Malik at 11.84

followed by Marcell, Bryson then Wyatt

Malik had the fastest time in the 100 meter sprint with a time of 11.84 seconds.

To determine who had the fastest time in the 100 meter sprint, we simply need to compare the times listed for each athlete. In sprinting, the fastest time is the lowest numerical value, as it indicates the athlete completed the distance in the shortest amount of time.

Here are the times presented in the question:

Bryson - 12.14 s

Malik - 11.84 s

Marcell - 11.94 s

Wyatt - 12.44 s

Upon comparing the times, we can see that Malik had the fastest time with 11.84 seconds. Therefore, Malik is the athlete who completed the 100 meter sprint the quickest in this group.

A fraction that is terminating decimal between 1.25 and 1.5

Answers

Answer:(1.25+1.50)/2

=2.75/2

=1.375

Step-by-step explanation:

(1.25+1.50)/2

=2.75/2

=1.375

Answer:

[tex]\frac{7}{5}, \frac{13}{10}, \frac{135}{100}= 1.35[/tex]

Step-by-step explanation:

There are numerous of fraction whose terminating decimal value lies between 1.25 and 1.5

Some of them are:

[tex]\dfrac{7}{5}=1.4, \\\dfrac{13}{10} = 1.3\\ \dfrac{135}{100}= 1.35, etc.[/tex]

All the above fraction has terminating decimal value.

Further, terminating decimal means the decimal whose value is non-repeating and values after decimal place is end after some places of decimal.

Lines p, q, and r all pass through point (-3,4). Line p has slope 4 and is perpendicular to line q. Line r passes through Quadrants 1 and Quadrants 2 only. Write an equation for each line. Then graph the three lines on the same coordinate plane.

Answers

Final answer:

This response provides the equations for three lines that all pass through the point (-3, 4). Line p's equation is identified as y = 4x + 16, the equation for perpendicular line q is y = -1/4x + 5.75, and the equation for the horizontal line r, which only traverses Quadrants 1 and 2, is y = 4.

Explanation:

The subject of your question is related to

Algebra of Straight Lines

, specifically, writing equations of lines that pass through a specific point (-3,4), and have certain slopes or orientations.

Let's start by examining line p which passes through the point (-3,4) and has a slope of 4. Using the point slope form of linear equation, we have y - y1 = m(x - x1). Substituting the given values, we get y - 4 = 4(x + 3) which simplifies to y = 4x + 16. This is the equation for line p.

The line q is perpendicular to line p, so its slope is the negative reciprocal of the slope of p, which is -1/4. Using point slope form of linear equation and substitifying the slope and point, we get y - 4 = -1/4(x + 3) which simplifies to y = -1/4x + 5.75. This is the equation for line q.

The line r is a little bit tricky since it's only mentioned to pass through Quadrants 1 and 2. This implies that the slope of r is 0, making line r horizontal. Because it passes through y=4, its equation is simply y = 4.

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What is the answer to 2x -1 + x + x + 1= 180

Answers

2x -1 + x + x + 1= 180

2x+x+x-1+1=180 ( combine like terms)

2x+2x-1+1=180

-1+1=0

2x+2x+0=180

4x+0=180

4x=180

divide both sides by 4 to get x by itself

4x/4=180/4

x=180/4

Answer: x=45

The answer is x equals 45

PICTURE ATTACHED please help

Answers

Answer:

[tex]6.73 \times {10}^{ - 8} [/tex]

Step-by-step explanation:

7.4 × 10 ^-8 - 6.7 × 10^-9

= 7.4 × 10^-8 - 0.67 × 10^-8

= (7.4 - 0.67) × 10^-8

= 6.73 × 10^-8

#$# HOPE YOU UNDERSTAND #$#

#$¥ THANK YOU ¥$#

$$$ HAVE A NICE DAY $$$

Cookies come in
packages of 12.
Drinks come in
packages of 3,4,5,
6, 8, 10, and 12. Make
a table to show how
many packages of each
size to buy so that you have
the same number of cookies
and drinks.

Answers

Answer:

[tex]\begin{array}{cccc}\text{Cookies}&&\text{Drinks}&\\\#\text{ of Cookies in a package}&\#\text{ of packages}&\#\text{ of Drinks in a package}&\#\text{ of packages}\\ \\12&1&3&4\\12&1&4&3\\12&1&6&2\\12&1&12&1\\12&2&8&3\\12&5&5&12\\12&5&10&6\end{array}[/tex]

Step-by-step explanation:

Cookies come in packages of 12.

Drinks come in packages of 3, 4, 5, 6, 8, 10, and 12.

If you buy one package of cookies (12 cookies), then you have to buy

4 packages of drinks with 3 drinks in each (12 drinks); 3 packages of drinks with 4 drinks in each (12 drinks); 2 packages of drinks with 6 drinks in each (12 drinks); 1 package of drinks with 12 drinks in it (12 drinks).

If you buy 2 packages of cookies (24 cookies), then you have to buy 3 packeges of drinks with 8 drinks in each (24 drinks).

If you buy 5 packages of cookies (60 cookies), then you have to buy

12 packages of drinks with 5 drinks in each (60 drinks); 6 packages of drinks with 10 drinks in each (60 drinks).

The table is

[tex]\begin{array}{cccc}\text{Cookies}&&\text{Drinks}&\\\#\text{ of Cookies in a package}&\#\text{ of packages}&\#\text{ of Drinks in a package}&\#\text{ of packages}\\ \\12&1&3&4\\12&1&4&3\\12&1&6&2\\12&1&12&1\\12&2&8&3\\12&5&5&12\\12&5&10&6\end{array}[/tex]

Seventy-five beans were equally divided into five pots. How many beans were in each pot?

Answers

Hey!

-----------------------------------

Solution:

75 beans ÷ 5 pots = 15

-----------------------------------

Answer:

15 beans are in each pot!

-----------------------------------

Hope This Helped! Good Luck!

Answer:

15

Step-by-step explanation:

if 75 beans is equally divided into 5 pots, divide 75 by 5.

Multiply the binomials (3x-5) (x-10)
Helpp

Answers

Answer: The answer would be 3x^2-35x+50

Answer:

3x^2-35x+50 is the answer

Step-by-step explanation:

If you use the FOIL method this will be a breeze.

Mike works two part time jobs while going to college. He works 8 and half hours a week at the ice-cream store for $10.55 per hour and 7 hours a week at the movie theater for 13.85 per hour. Work each of the following problems in decimal form. 1. How much does Mike earn a week before taxes are taken out of his paycheck? 2. If 22 percent of Mike’s paycheck is withheld for taxes, how much money is left for Mike? 3. At which Job does Mike earn the most before taxes, how much more? 4. If Mike spends $50 a week on entertainment, what percent of Mike’s paycheck is left after he pays taxes? In decimal form.

Answers

Answer:

Step-by-step explanation:

So 10.55$ for an hour at the ice-cream store, and he works 8 hours.

So 8 * 10.55$ because he earns 10.55$ eight times, since he works 8 hours;

then, you would get $84.40 for a week at the ice-cream store.

Now he earns 13.85$ per hour at the movie theater, for a total of 7 hours.

Again, 13.85$ * 7 since he earns 13.85$ 7 times (7 hours); he gets $96.95 for a week at the movie theater.

1. so we want to know how much does mike earn a week, which basically means how much money did he earn in total during the week working at two jobs?

so you just add what you calculated, you get $181.35 in total.

2. So we want to know how much he has left after 22 percent of the total amount of money that he earned is taken away, due to taxes.

So we want to know how much is 22 percent of the total, so $181.35 * 22% = $39.89

So now we know that $39.89 is 22 percent of the total amount ($181.35), and we know that it is taken away from us, so we subtract $39.89 from $181.35, and you would get $141.46.

So, $141.46 is the amount of money left for Mike after paying his taxes.

3. So we want to know which jobs pays him more before paying the taxes. According to the first question, he earns $84.40 a week at the ice cream store, and $96.95 a week at the movie theater. So, obviously the movie theater pays him more.

It has two questions in one, and the second question asks how much more does the higher paying job pays than the lower paying one. So they're asking what is the difference between the two prices?

So we need to subtract $96.95 (the higher paying one) - $84.40 (the lower paying one), and you would get $12.55.

So, the movie theater pays Mike $12.55 more dollars than the ice cream store.

4.

need help please can someone figure it out ​

Answers

Answer:

It's the first choice.

Step-by-step explanation:

Using system of equations.

The music store sold 12 trumoets and 19 clarinets last month. If clariners sell for $139.95 and the store made $4,578.45 from sales on the two instruments, find the price of a trumphet.

Answers

Answer:

$ 159.95

Step-by-step explanation:

139.95 x 19 = 2,659.05 In total the 19 clarinets = $ 2,659.05

$ 4,578.45 - $ 2,659.05 = $ 1919.40 In toal the 12 trumpets are = $ 1,919.40

$ 1,919.40 ÷ 12 = $ 159.95 The trumpets cost $ 159.95 each.

Hope this helps you out : )

If the music store sold 12 trumoets and 19 clarinets last month and clariners sell for $139.95 and the store made $4,578.45. The price of a trumpet is $159.95.

What is the price?

Let's denote the price of a trumpet as "t" dollars.

The revenue from trumpet sales would be 12 times the price of a trumpet (12t) and the revenue from clarinet sales would be 19 times the price of a clarinet ($139.95):

Revenue from trumpets + Revenue from clarinets = Total revenue

12t + 19 * $139.95 = $4578.45

Now solve for the price of a trumpet (t):

12t + 19 * $139.95 = $4578.45

12t + $2659.05 = $4578.45

12t = $4578.45 - $2659.05

12t = $1919.4

t = $1919.4 / 12

t ≈ $159.95

Therefore the price of a trumpet is $159.95.

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solve for x.
3x = 6x - 2

Answers

Answer:

[tex]x = \frac{2}{3} [/tex]

Step-by-step explanation:

3x=6x-2

Subtract '3x' from both sides

0=3x-2

Add '2' to both sides

2=3x

Divide by 3

x=2/3

If you need the answer in decimal form divide 2 by 3

The value of x is 2/3.

What is equation?

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).

Parts of an Equation

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators.

Given:

3x = 6x - 2

3x-6x= -2

-3x= -2

x= -2/-3

x= 2/3

Hence, the value of x is 2/3

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There are 40 members in a food club. The Venn diagram below shows how many members like vegetables, fruit, both, or neither. Complete the following two-way frequency table.

Answers

The data of the frequency table is mentioned below.

What is a Venn Diagram?

A Venn Diagram is the pictorial representation of data in the form of circles which represents relationship between finite number of group of things.

There are total 40 members in a food club.

The people who

Like vegetable and also like fruit is : 23

Like vegetables , do not like fruit is : 4

Do not like vegetables and like fruit is 8

Do not like vegetables and do not like fruit is 5

The missing Venn Diagram is attached with the answer.

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Line segment XY was used to draw a copy of ABC.XY is 3.5 centimeters long. What is the length of
AA' + BB'+CC'?​

Answers

3.5(3)=10.5 this i the answer. I had this for hw.

The length of  AA' + BB' + CC' using the segment length 3.5 cm gives 10.5 cm.

let segment XY used to draw a copy of ABC.

So, if AA', BB', and CC' represent the corresponding sides of the copy triangle A'B'C', their lengths are:

Two Triangle that are translated to each other are equidistant from each point to the original point.

Now, AA' = BB' = CC' = XY = 3.5 cm

So, AA' + BB' + CC'

= 3.5  + 3.5 + 3.5

= 10.5

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A store sells 4 cans of fruit cocktail for $10.What is the price of 7 cans of fruit cocktail?

Answers

Answer:

17.5

Step-by-step explanation:

so 4 cans is 2.5$ each so i did 2.5 times 7 to see how much it would be for 7 cans

Final answer:

To find the cost of 7 cans of fruit cocktails, you first determine the price per can at $2.50 by dividing the cost for 4 cans ($10) by 4. Multiplying the price per can by 7 gives the total cost, which is $17.50.

Explanation:

To find the price of 7 cans of fruit cocktails when 4 cans are sold for $10, we need to calculate the price per can and then multiply by the desired number of cans.

Step-by-step calculation:

First, determine the price per can by dividing the total price by the number of cans: 4 cans for $10 results in $10 ÷ 4 = $2.50 per can.Next, multiply the price per can by the number of cans desired: 7 cans × $2.50 per can = $17.50.

Therefore, 7 cans of fruit cocktails will cost $17.50.

Which expression does not belong with the other three? Explain your reasoning. |3| -3 |-3| 3

Answers

[tex]\huge\boxed{-3}[/tex]

All of the other expressions are equal to a positive [tex]3[/tex].

Absolute value finds a number's distance from zero, which basically removes its negative sign if it has one, making the number positive.

[tex]|3|=3[/tex]

[tex]\boxed{-3=-3}[/tex]

[tex]|-3|=3[/tex]

[tex]3=3[/tex]

Answer:

-3.

Step-by-step explanation:

That would be -3 because it is negative.

|3| 3 and |-3|  are all positive.

|-3| means the absolute value of -3, which is positive.

Sarah is making strings of beads in the first string she uses 3 beads and she triples the number of beads in each of the next strings identify the number of beads she uses in 5 string

Answers

Answer:

She uses 729 beads for 5 strings.

Step-by-step explanation:

1 string :  3 × 3 = 9 beads

2 string : 9 × 3 = 27 beads

3 string : 27× 3 = 81  beads

4 string : 81 × 3 = 243 beads

5 string :  243 × 3 = 729 beads

Answer:729

Step-by-step explanation:

1) 3×3=9

2) 9×3=27

3) 27×3=81

4) 81×3=243

5) 243×3=729

Solve for x. + 9 = 30 x = 34 x = 44 x = 24 x = 18

Answers

Answer:

11 =x

Step-by-step explanation:

Give an equation for a line perpendicular to the line y=0. Is there more than one such line? Explain.

Answers

Check the picture below.

sure, since y = 0 is a line, in essence the x-axis really, that goes to infinity, so we can draw an infinite amount of perpendicular lines on it all the way.

Final answer:

The equation for a line perpendicular to the line y=0 is x=a, where a is the x-coordinate of the point where the line intersects the x-axis. There are infinitely many lines that are perpendicular to the line y=0. For example, the line x=3.

Explanation:

The equation for a line perpendicular to the line y=0 is simply the equation for a vertical line passing through any point on the x-axis. A vertical line is defined by the equation x = a, where a is the x-coordinate of the point where the line intersects the x-axis.

Since the line y=0 is also the x-axis, any vertical line passing through a point on the x-axis will be perpendicular to it. Therefore, there are infinitely many lines that are perpendicular to the line y=0.

For example, the equation for a line perpendicular to y=0 passing through the point (3,0) would be x=3.

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referred to as Check
a. 3x + 7 + -x-1​

Answers

Answer:

2x+6

Step-by-step explanation:

you would get 2x+6 because you collect like terms and 3x minus 1x is 2x its minus because a negative is subtracting. and then 7 minus 1 is 6

there is a 6 degree drop in temperature over the past hour. If it is 55 degrees now, what was the temperature an hour ago?

Answers

Answer:

61

Step-by-step explanation:

if it dropped 6 degrees, you would add 6 to the current temperature to get 61 (55+6=61)

Answer:

61 degrees

Step-by-step explanation:

it is 55 degrees now. it had dropped 6 degrees in an hour. since it went down and subtracted 6 degrees, we would have to do the other order of operation which in this case is addition. 55 plus 6 is 61. ( message me if you need more help)

0.5,7/16,0.75,19/48 order least to greatest

Answers

Answer:

19/48, 7/16, 0.5, 0.75

Step-by-step explanation:

-8-n = -3(2n - 4)
Please help

Answers

Answer:

n=-2n-12

Step-by-step explanation:

Distribute the -3 to 2n-4, which equals -6n+12. Putting your whole equation back together, you will have -8-n=-6n+12. If you add 8n over to the other side, your equation becomes -n=2n+12. Now all you have to do here is divide the negative from -1 thats in front of n from 2n+12, making your answer n=-2n-12.

To solve the linear equation -8 - n = -3(2n - 4), we distribute, combine like terms, and isolate the variable to find that n = 4.

The equation presented, -8 - n = -3(2n - 4), is a linear equation where the goal is to solve for the variable n. We start by simplifying and rearranging the equation to isolate n on one side. To solve the equation:

Distribute the -3 through the parentheses on the right side: -8 - n = -6n + 12.

Move all terms involving n to one side by adding 6n to both sides: -8 + 6n - n = 12.

Combine like terms: -8 + 5n = 12.

Next, add 8 to both sides to isolate the term with n: 5n = 20.

Finally, divide both sides by 5 to solve for n: n = 4.

Jayla has 1.36 meters of red ribbon and 0.9 meter of blue ribbon. How much ribbon does she have in all?

Answers

Answer:

She has 2.26 ribbons.

Step-by-step explanation:

add 1.36+0.9=2.26.

Answer:

2.26

Step-by-step explanation:

1.36+ 0.9

How much interest is earned on an investment of $12,000 at 2.9% compounded daily for eight years

Answers

Answer:

$3,113,34

Step-by-step explanation:

The formula for calculating compound interest is

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Where

A=the future total value, i.e, the money you will have after t years.

P=the initial deposit.

r=the annual interest rate.

n=the number of times that interest is compounded per year.

t=the number of years the money is saved.

In our case

A is unknown and we will have to calculate it with the formula.

P=$12,000

r=2.9%=0.029

n=365 because the interest is compounded daily and there are 365 days in a year

t=8 years

Applying the formula we get

[tex]A=12,000(1+\frac{0.029}{365})^{365\times8}[/tex]

[tex]A=12,000(1+\frac{0.029}{365})^{2,920}[/tex]

[tex]A=12,000(1.000079)^{2,920}[/tex]

So A=15,113.336

This is the amount of money you would have after 8 years.

Subtracting the initial deposit from this amount we obtain the interest earned I

I=15,113.336-12,000=3,113.336

Rounded to the nearest hundreth

I=$3,113,30

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