Show the steps on how to follow 3x - 7 =1/2x +6

Answers

Answer 1

Answer:

x=26/5

Step-by-step explanation:

first you would multiply both sides by 2

then you woud end up with 6x- 14 = x+12

then combine like terms subtract x on both sides

5x=26 then divide both sides by 5

x=26/5


Related Questions

PLEAASE HELP ASAP!!!!!
language arts!!

1. Decide whether each of the following groups of words is a complete sentence (an independent clause) or an incomplete sentence (a dependent clause). If the sentence is incomplete, capitalize it and do whatever else is necessary to make it complete. If the sentence is complete, capitalize the first word and add the appropriate ending punctuation.

Example:  three ships went with Columbus

Three ships went with Columbus.

1.because they found no gold in that country

2. after they went running through

3. he wants to visit the moon

4. the boy who has lots of freckles

5. she turned a page in her book

6. a book that I read

7. before the race began


Answers

1. Incomplete/ Because they found no gold in that country...

2. Incomplete/ After, they went running through...

3. Complete/ He wants to visit the Moon.

4. Incomplete/ The boy who has lots of freckles...

5. Incomplete I believe/ She turned a page in her book...

6. Incomplete/ A book that I read...

7. Incomplete/ Before the race began....

Answer:

Incomplete/ Because they found no gold in that country...

2. Incomplete/ After, they went running through...

3. Complete/ He wants to visit the Moon.

4. Incomplete/ The boy who has lots of freckles...

5. Incomplete I believe/ She turned a page in her book...

6. Incomplete/ A book that I read...

7. Incomplete/ Before the race began....

Step-by-step explanation:

Chose the substitution method to solve the system of equations choose the correct ordered pair 3x-y=7 2x-2y2

Answers

Answer:

(3, 2)

Step-by-step explanation:

3x-y=7

2x-2y=2

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

y=3x-7

substitute this equation to 2x-2y=2

first, simplify 2x-2y=2 into x-y=1.

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

x-(3x-7)=1

x-3x+7=1

-2x+7=1

-2x=1-7

-2x=-6

x=-6/-2=3

y=3(3)-7=9-7=2

Answer: x=3, y=2.

Determine the intercepts of the line.
y=-3x+12y=−3x+12

Answers

Answer:

x-intercept=4 and y-intercept = 12

Step-by-step explanation:

To find the x-intercept, make the y=0:

0 = -3x+12

3x = 12

x=12/3

x=4

To find the y-intercept, make the x=0:

y = -3(0) +12

y = 0 +12

y = 12

Hope this helps!

Please mark brainliest if you think I helped! Would really appreciate!

Answer:

y=12,0

x=4,0

Step-by-step explanation:

for those who were just as confused as i was <3

x|x integars between 4 & 8 lost the elements in the set

Answers

Answer:

The set of integer between 4 and 8 = { 5, 6, 7 }.

Step-by-step explanation:

Set:

A set is a well-defined  collection of distinct objects, elements encloses in curly bracket.  

For example.

set of vowels = { a, e, i, o, u }

set of any three Capital alphabets = { A, B ,Z }

set of cars = { Ferrari, Volvo, Mercedes, Audi }

Now we want set of integer between 4 and 8

Integer: All the positive and negative natural numbers are called integers.

-1, -2, -3, 1, 2, 3, 4, 5, 6 ,7 , 8 ..

The set of integer between 4 and 8 = { 5, 6, 7 }.

P^3×q^2(p^4×q^n×r^3/r^-4)=p^7q^5r^7

What does n=

Answers

Answer:

[tex]n = 3[/tex]

Step-by-step explanation:

Given:

The equation given is:

[tex]p^3q^2(p^4q^n\times \frac{r^3}{r^{-4}})=p^7q^5r^7[/tex]

We simplify the given equation using the following law of indices:

[tex]a^m\times a^n=a^{m+n}\\\frac{a^m}{a^n}=a^{m-n}[/tex]

Therefore,

[tex]p^{3+4}q^{n+2}\times r^{3-(-4)})=p^7q^5r^7\\p^7q^{n+2}r^7=p^7q^5r^7\\q^{n+2}=q^5[/tex]

Since the base on both the sides is same, therefore, their exponents must also be same. This gives,

[tex]n+2=5\\n=5-2\\n=3[/tex]

Therefore, the value of 'n' is 3.

11 identical pairs of Air Jordan cost $660.What is the cost of one pair?

Answers

Answer:

$60

Step-by-step explanation:

11 identical pairs of Air Jordan cost $660.

To find the cost of one pair, you have simply to divide the total amount paid by the total number of pairs.

Total amount paid = $660

Total number of pairs = 11

The cost of one pair [tex]=\$660 : 11=\$60[/tex]

Final answer:

To find the cost of one pair of Air Jordan sneakers from the total cost of 11 pairs, divide the total cost ($660) by the number of pairs (11), which equals $60 per pair.

Explanation:

The question concerns determining the cost of one pair of Air Jordan sneakers given the total cost for 11 pairs. This is a basic division problem that falls under the category of arithmetic in mathematics. To find the cost of one pair, divide the total cost by the number of pairs. Here is how the calculation is done step-by-step:

Determine the total cost of all pairs together, which is given as $660.Count the number of identical pairs, which we know is 11 pairs.Divide the total cost by the number of pairs: $660 ÷ 11 pairs = $60 per pair.

Therefore, the cost for one pair of Air Jordan sneakers is $60.

ANSWER MY QUESTION PLEASE


Here is a linear equation: y = 1/4x + 5/4. Find the x-intercept of the graph of the equation.
Hint: the y-value will be 0 at the x-intercept.

write your answer

Answers

When you plug the equation into a graphing calculator the x-intercept is -5
Or you can set the equation equal to 0 and solve for x.
Final answer:

To find the x-intercept of the linear equation y = 1/4x + 5/4, substitute y = 0 into the equation and solve for x. The x-intercept is -5.

Explanation:

To find the x-intercept of the graph of the equation y = 1/4x + 5/4, we need to set the y-value to 0 and solve for x.

So, by substituting y = 0 into the equation, we get 0 = 1/4x + 5/4.  

Now, we can solve for x by isolating x on one side of the equation. Subtracting 5/4 from both sides gives us -5/4 = 1/4x. Multiplying both sides by 4 gives us -5 = x, or x = -5.

Therefore, the x-intercept of the graph is -5.

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Of the following equations below, which equation represents a direct variation between x and y?
Select one:
A. 2y = 3x −7
B. y −4 = x +6
C. y +3 = x +3
D. 4y +1 = 4x−1

Answers

Answer:

C. y +3 = x +3

Step-by-step explanation:

We need to find in below option x has direct variation with y.

We solve for each;

A. [tex]2y = 3x-7[/tex]

From above equation we can state that 2 times y is equal to 7 less than 3 times of x.

Hence it doesn't represent direct variation.  

B. [tex]y-4 = x+6[/tex]

Solving above expression we get;

[tex]y-4 = x+6\\y = x+6+4\\y=x+10[/tex]

From above equation we can state that y is equal to 10 more than x.

Hence it doesn't represent direct variation.

C. [tex]y+3 = x+3[/tex]

Solving above expression we get;

[tex]y+3 = x+3\\y = x+3-3\\y=x[/tex]

From above equation we can state that y is equal to x.

Hence it represent direct variation.

D. [tex]4y+1 = 4x-1[/tex]

Solving above expression we get;

[tex]4y+1 = 4x-1\\4y = 4x-1-1\\4y=4x-2[/tex]

From above equation we can state that 4 times y is equal to 2 less than 4 times of x.

Hence it doesn't represent direct variation.

Hence the Answer which represent direct variation of x and y is,

C. [tex]y+3 = x+3[/tex]

Use addition to solve the linear system of equations y=2x-5 3x+3=y

Answers

Answer:

(-8, -21)

Step-by-step explanation:

y=2x-5

3x+3=y

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

2x-5=3x+3

2x-3x-5=3

-x-5=3

-x=3+5

-x=8

x=-8

y=2(-8)-5=-16-5=-21

Answer: x=-8, y=-21.

cos(t)=24/25, what does sin(t)=?

Answers

Answer:

The value of sin t is [tex]\frac{7}{25}[/tex]

Step-by-step explanation:

Given as :

cos (t) = [tex]\frac{24}{25}[/tex]

Since sin² t + cos² t = 1

So, sin² t = 1 - cos² t

or,  sin² t = 1 - ([tex]\frac{24}{25}[/tex])²

or,  sin² t = [tex]\frac{25^{2} - 24^{2} }{25^{2} }[/tex]

Or,  sin² t = [tex]\frac{625 - 576}{625}[/tex]

Or ,   sin² t = [tex]\frac{49}{625}[/tex]

Or, sin t = [tex]\sqrt{\frac{49}{625} }[/tex]

So, sin t = [tex]\frac{7}{25}[/tex]

Hence The value of sin t is [tex]\frac{7}{25}[/tex]   Answer

David drove 135 miles in 3 hours find the unit rate​

Answers

Answer:

45 mph

The drawing will help

Answer: 45 miles per hour

Step-by-step explanation:

3 hours = 135 miles

divide both sides by 3

1 hour = 45 miles as you can write this as 45 miles per hour

How many 6 1/4-inch pieces of fabric can be cut from a 75-inch roll?

Answers

Answer:

12 pieces

Step-by-step explanation:

75 divided by 6 1/4= 12 pieces

Deja spends 25% of her monthly salary on her rent. Her rent is $650 a month. What is dejas monthly salary

Answers

Answer:

Monthly Salary = $2,600

Step-by-step explanation:

Monthly rent on monthly salary = 25%

Monthly rent = $650.

To determine the monthly sale, we have to use the unitary method.

25% monthly rent on monthly salary means out of $100, Deja spends $25 on her rent.

Therefore,

Deja spends $25 on her rent, when the monthly salary   = $100

Deja spends $1 on her rent, when the monthly salary      = [tex]\frac{100}{25}[/tex]

Deja spends $650 on her rent, when the monthly salary = [tex]\frac{100*650}{25}[/tex]

= [tex]\frac{65000}{25}[/tex]

= $2,600

Her monthly salary is $2,600.

A sporting goods store manager was selling a ski set for a certain price. The manager offered the markdowns shown on the right, making the one day sale price of the ski set $328. Find the original selling price of the ski set.

Answers

Final answer:

The original selling price of the ski set is $585.71.

Explanation:

Step 1: Determine the final sale price after the first markdown

The one-day sale price of the ski set is $328, and the first markdown is 20%. To find the final sale price after the first markdown, we can set up the equation:

0.80 × Original Price = $328

Solving for the original price, we get:

Original Price = $328 / 0.80 = $410

Therefore, the final sale price after the first markdown is $410.

Step 2: Determine the original selling price

The final sale price after the first markdown is $410, and the second markdown is 30%. To find the original selling price, we can set up the equation:

0.70 × Original Price = $410

Solving for the original price, we get:

Original Price = $410 / 0.70 = $585.71

Therefore, the original selling price of the ski set is $585.71.

Which of the following is the inequality −18x + 2y ≥ −13 written in slope-intercept form?

Select one:

A. y ≥ - 6.5x - 9

B. y ≥ 7x - 10

C. y ≥ 9x − 6.5

D. y ≥ 10x - 7

Answers

Answer:

C. y ≥ 9x − 6.5

Step-by-step explanation:

[tex]-18x+2y\geq-13\qquad\text{add}\ 18x\ \text{to both sides}\\\\-18x+18x+2y\geq18x-13\\\\2y\geq18x-13\qquad\text{divide both sides by 2}\\\\\dfrac{2y}{2}\geq\dfrac{18x}{2}-\dfrac{13}{2}\\\\\boxed{y\geq9x-6.5}[/tex]

Anahita drives for 3 hours at 15 miles per hour. How far does she travel?

Answers

Answer:

45 Miles

Step-by-step explanation:

3 hours * 15mph= 45 Miles in 3 hours

Answer: 45miles
Because 15•3=45

Avery bought 5 packs of pencils there were eight pencils in each back if every team line pencils to her friends how many pencils does Avery have left ​

Answers

Answer:

31

Step-by-step explanation:

Avery has 31 left

5 x 8 = 40

40 - 9 = 31

therefore avery has 31 pencils left

Find the quotient of 2 ÷ 3/ 8. The quotient is 5 and ______

Answers

Answer:

1/3

Step-by-step explanation:

2 ÷ 3 /8

To divide by a fraction, multiply by its reciprocal.

2 ( 8 /3 )

Multiply  

2

(

8

3

)

.

Tap for more steps...

16

3

The result can be shown in multiple forms.

Exact Form:

16

3

Decimal Form:

5.

¯

3

Mixed Number Form:

5

1 /3

5 is the quotient and 1 is a reminder.

What is the quotient?

the result obtained by dividing two numbers is known as the quotient.

dividend / divisor = quotient + reminder

Given problem 2 ÷ 3/8. after simplifying it.

2 ÷ 3/8 = 16 ÷ 3

2 ÷ 3/8 =  5 + 1/3

Therefore the given problem quotient is 5 and the remainder is 1.

Learn more about quotient here:

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Perpendicular to 3x-6y=-2 containing points (-3,-8)

Answers

Answer:

y = -2x - 14

Step-by-step explanation:

[tex]\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m\ -\ \text{slope}\\b\ -\ \text{y-intercept}[/tex]

[tex]\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\k\ \perp\ l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\k\ ||\ l\iff m_1=m_2[/tex]

[tex]\text{We have the equation of a line in the standard form.}\\\text{Convert it to the slope intercept from:}\\\\3x-6y=-2\qquad\text{subtract }\ 3x\ \text{from both sides}\\\\-6y=-3x-2\qquad\text{divide both sides by (-6)}\\\\y=\dfrac{-3}{-6}x+\dfrac{-2}{-6}\\\\y=\dfrac{1}{2}x+\dfrac{1}{3}\to m_1=\dfrac{1}{2}[/tex]

[tex]\text{Therefore}\ m_2=-\dfrac{1}{\frac{1}{2}}=-1\cdot\dfrac{2}{1}=-2.\\\\\text{Put the value of a slope and the coordinates of the point (-3, -8)}\\\text{ to the equation of a line:}\\\\-8=-2(-3)+b\\\\-8=6+b\qquad\text{subtract 6 from both sides}\\\\-14=b\to b=-14\\\\\text{Finally:}\\\\y=-2x-14[/tex]

using elimination method, simultaneously solve, 6x+2y=20 and 0.5x-0.5y=1​

Answers

Answer:

x=3, y=1. (3, 1)

Step-by-step explanation:

6x+2y=20

0.5x-0.5y=1

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

6x+2y=20

1/2x-1/2y=1

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

6x+2y=20

2(1/2x-1/2y)=2(1)

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

6x+2y=20

x-y=2

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

6x+2y=20

x=y+2

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

6(y+2)+2y=20

6y+12+2y=20

8y+12=20

8y=20-12

8y=8

y=8/8

y=1

x=1+2=3

x=3, y=1.

4. How much time will it take for a bug to travel 7.5 meters across the floor if it is traveling at 1 m/s?

Answers

It will take the bug 7.5s to travel across the floor.

Step-by-step explanation:

Distance = 7.5 meters

Speed = 1 m/s

The formula for speed is

[tex]Speed = \frac{Distance}{Time}\\\\Time = \frac{Distance}{Speed}\\Time=\frac{7.5}{1}\\Time=7.5\ s[/tex]

It will take the bug 7.5s to travel across the floor.

Keywords: distance, speed

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Caleb paid $26.70, including a 7% sales tax, for a security wallet. How much did the wallet itself cost?

Answers

Answer:

24.36

Step-by-step explanation:

26.7 / 1.07 = 24.36

24.36 should be your best answer !!!!

Solve the equation : n +32=60

1) n= 1.875

2) n= 28

3) n= 38

4) n= 92

Answers

N=28

Step-by-step explanation:

Subtract 32 from both sides

i think my answer also n=28

A loan of $46,000 is made at 7% interest, compounded annually. After how many years will the amount due reach $65,000 or more?

Answers

After 5.11 years, amount due reach $65,000 or more

Solution:

Given that a loan of $46,000 is made.

Rate of interest charged is 7% compounded annually

Need to determine number of years in which the amount due reach $65,000 or more.

In our case

Amount due A = $65000

Loan Amount that is principal P = $46000

Rate of interest r = 7%

Formula for Amount compounded anually is as follows:

[tex]\mathrm{A}=P\left(1+\frac{r}{100}\right)^{n}[/tex]

Substituting the values in above formula we get

[tex]\begin{array}{l}{65000=46000\left(1+\frac{7}{100}\right)^{n}} \\\\ {\frac{65000}{46000}=\left(\frac{107}{100}\right)^{n}} \\\\ {\Rightarrow 1.4130=(1.07)^{n}}\end{array}[/tex]

Applying log on both sides, we

[tex]\begin{array}{l}{\ln 1.4130=n \ln 1.07} \\\\ {=>\frac{\ln 1.4130}{\ln 1.07}=\mathrm{n}} \\\\ {=>\mathrm{n}=\frac{0.34571}{0.067658}=5.1096=5.11}\end{array}[/tex]

Hence after 5.11 years , amount due reach $65,000 or more

it is 6.09 pm the movie starts at 6:30 pm. while standing in the line for the movie, you count 146 people in front of you. nine people buy their tickets in 70 seconds. will you be able to buy your ticket before the movie starts?

Answers

Answer:You can buy a ticket.

Step-by-step explanation:

It is given that [tex]9[/tex] people bought tickets in [tex]70[/tex] seconds.

So,[tex]\frac{9}{70}[/tex] people can buy tickets in a second.

It is given that the current time is [tex]6:09pm[/tex] and movie starts at [tex]6:30pm[/tex].

So there is [tex]30-9=21minutes[/tex] until movie starts.

In [tex]21[/tex] minutes,the number of persons that can buy tickets are [tex]\frac{9}{70}\times 21\times 60=162[/tex].

So,[tex]162[/tex] people can buy tickets in [tex]21[/tex] minutes.

Since there are only [tex]146[/tex] people in front of you,you can buy a ticket.

Which two points on the number line represent numbers that can be combined to make zero? C

Answers

Answer:

The are infinite

Step-by-step explanation:

some are 1,-1

2,-2

3,-3

10000,-10000

Answer:

It’s a

Step-by-step explanation:

The difference of 2 times a number and 3/4 is 1/2. Determine the number

Answers

Answer:

5/8

Step-by-step explanation:

if I understand correctly the problem is

(2*X)-(3/4)=1/2

to solve for x we need to isolate it, the first step in doing so is getting rid of the 3/4

2*X-3/4+3/4=1/2+3/4

simplify

2*X=1 1/4

the next step is getting rid of the 2

(2*X)/2=(1 1/4)/2

simplify

X=5/8

Write an inequality for the graph.

Answers

Answer:

x ≤ 3

This is because it is a closed circle.

what value is equivalent to -2 x 3² - 8 ÷ 2 + 6?

Answers

Answer:

−18x+2

Step-by-step explanation:

Suppose g(x) = f(x-2) + 3. Which statement best compares the graph of g(x)
with the graph of f(x)?

Answers

Answer:

The graph of g(x) is f(x) translated 3 units up.

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