One-third of a number added to itself equals 3 times the difference of the number and seven.

Answers

Answer 1

Answer:

Step-by-step explanation:

Do this step by step.

Let the number = x

1/3 of a number = 1/3 x

Added to itself 1/3x + x

=

3*(x - 7)

So the equation is

1/3x  + x = 3(x - 7)            Remove the brackets. Collect 1/3x and x

4/3 x = 3x - 21                 Multiply both sides by 3.

4x = 3*(3x - 21)                Remove the brackets again

4x = 9x - 63                    Subtract 9x from both sides

-5x = -63                         Divide by -5

x = -63/-5

x = 12.6


Related Questions

Vaughn threw the shot put 9 yards at a track meet. The official used a tape measure to measure the distance in feet. How many feet did he throw the shot put?

Answers

Answer:

27 feet

Step-by-step explanation:

There are 3 feet in 1 yard. 9×3=27

Help me plsssssssssssssssssssssss

Answers

estimated difference: 83
actual difference: 81.91

Which of the equations or
inequalities below are true?
O A. 7-274
O B. 7-2 5 5
D C. 7 - 2 = -5
D. 7-2 > 6

Answers

Answer:

C

Step-by-step explanation:

Have a great day ^^ :)

At this rate, how much would Cary earn for 55 hours of babysitting?

Answers

Answer:

if Cary works at 8 hours per hour, then she will have $440

Step-by-step explanation:

this is, if you are referring to your previous question about Cary making $56 in 7 hours.

48g of 70g petcentage​

Answers

Answer:

48/70 = 24/35 = 0.685714 = 68.57%

Answer:

48 acopf70 (eg)3 ( nt)2

Step-by-step explanation:

48 acopf70 (eg)3 (nt)2



Using the data from the table to finish constructing the dot plot, how many dots should be placed for the value 2?
A)
2
B)
D)

Answers

Answer: 5 dots should be placed on value 2.

Step-by-step explanation:

Answer:

there should be 5 dots

Step-by-step explanation:

Can someone help I’m confused

Answers

I think A and C would that two hours

How many cups of yogurt would 5 people get if they equally shared 3/4 cups of yougurt

Answers

So the short answer is 3/20 cups. When you take 3/4 and turn it into a decimal, .75 then you can easily divide .75 by 5 and you get .15 or 3/20.

Given the equation of a line: y = 3x - 7. Select the equation of the line PERPENDICULAR to this line

Options:
y = (1/3)x + 1/7
y = -3x + 7
y = (-1/3)x - 7
y = 3x + 2

Answers

Answer:

The third option, y=(-1/3)x-7

Step-by-step explanation:

To find a line perpendicular to an equation, you find the negative reciprocal of the slope. For instance, if you have an equation y=4x+5, the negative reciprocal is y=(-1/4)x+5. That is the equation to find a line perpendicular to this.

If you want to find a line parallel to the equation y=4x+5, all you have to do is come up with another equation that has the same slope. So, y=4x+8 would be a line parallel to the equation y=4x+5.

What is 285 - 15?
17
28
19
21
Please help quickly thanks

Answers

Answer:

19

Step-by-step explanation:

find the meassure of the missing angle​

Answers

Step-by-step explanation:

Side A is 4

Side B is 6

Perimeter is 28

Complete each statement then state the property or properties illustrated by each statement on

Answers

Answer:

(8n)(-77)=-77(n*8)

We move all terms to the left:

(8n)(-77)-(-77(n*8))=0

We add all the numbers together, and all the variables

8n(-77)-(-77(+n*8))=0

We multiply parentheses

-616n-(-77(+n*8))=0

We calculate terms in parentheses: -(-77(+n*8)), so:

-77(+n*8)

We multiply parentheses

-616n

Back to the equation:

-(-616n)

We get rid of parentheses

-616n+616n=0

We add all the numbers together, and all the variables

=0

n=0/1

n=0

the property is Associative Property

Step-by-step explanation:

this one was kinda hard pls let me know it its right or not

Write an equation in slope-intercept form of a line that has a slope of -2/3 and a y-intercept of 6.​

Answers

respondo por qué el juego me lo diste 2+24

Answer:

y = -2/3x + 6

Step-by-step explanation:

Equation in slope-intercept form:

y = mx + b

Substitute values:

y = -2/3x + 6

What is the measure of angle x round the nearest degree

Answers

Answer: 16 degrees obviously

Step-by-step explanation:

Consider a sample with data values of 27, 24, 21, 16, 30, 33, 28, and 24. Compute the 20th, 25th, 65th, and 75th percentiles. 20th percentile 20 Correct: Your answer is correct. 25th percentile 21 Incorrect: Your answer is incorrect. 65th percentile 27.5 Incorrect: Your answer is incorrect. 75th percentile 28 Incorrect: Your answer is incorrect.

Answers

Answer:

[tex]P_{20} = 20[/tex] --- 20th percentile

[tex]P_{25} = 21.75[/tex]  --- 25th percentile

[tex]P_{65} = 27.85[/tex]   --- 65th percentile

[tex]P_{75} = 29.5[/tex]   --- 75th percentile

Step-by-step explanation:

Given

27, 24, 21, 16, 30, 33, 28, and 24.

N = 8

First, arrange the data in ascending order:

Arranged data: 16, 21, 24, 24, 27, 28, 30, 33

Solving (a): The 20th percentile

This is calculated as:

[tex]P_{20} = 20 * \frac{N +1}{100}[/tex]

[tex]P_{20} = 20 * \frac{8 +1}{100}[/tex]

[tex]P_{20} = 20 * \frac{9}{100}[/tex]

[tex]P_{20} = \frac{20 * 9}{100}[/tex]

[tex]P_{20} = \frac{180}{100}[/tex]

[tex]P_{20} = 1.8th\ item[/tex]

This is then calculated as:

[tex]P_{20} = 1st\ Item +0.8(2nd\ Item - 1st\ Item)[/tex]

[tex]P_{20} = 16 + 0.8*(21 - 16)[/tex]

[tex]P_{20} = 16 + 0.8*5[/tex]

[tex]P_{20} = 16 + 4[/tex]

[tex]P_{20} = 20[/tex]

Solving (b): The 25th percentile

This is calculated as:

[tex]P_{25} = 25 * \frac{N +1}{100}[/tex]

[tex]P_{25} = 25 * \frac{8 +1}{100}[/tex]

[tex]P_{25} = 25 * \frac{9}{100}[/tex]

[tex]P_{25} = \frac{25 * 9}{100}[/tex]

[tex]P_{25} = \frac{225}{100}[/tex]

[tex]P_{25} = 2.25\ th[/tex]

This is then calculated as:

[tex]P_{25} = 2nd\ item + 0.25(3rd\ item-2nd\ item)[/tex]

[tex]P_{25} = 21 + 0.25(24-21)[/tex]

[tex]P_{25} = 21 + 0.25(3)[/tex]

[tex]P_{25} = 21 + 0.75[/tex]

[tex]P_{25} = 21.75[/tex]

Solving (c): The 65th percentile

This is calculated as:

[tex]P_{65} = 65 * \frac{N +1}{100}[/tex]

[tex]P_{65} = 65 * \frac{8 +1}{100}[/tex]

[tex]P_{65} = 65 * \frac{9}{100}[/tex]

[tex]P_{65} = \frac{65 * 9}{100}[/tex]

[tex]P_{65} = \frac{585}{100}[/tex]

[tex]P_{65} = 5.85\th[/tex]

This is then calculated as:

[tex]P_{65} = 5th + 0.85(6th - 5th)[/tex]

[tex]P_{65} = 27 + 0.85(28 - 27)[/tex]

[tex]P_{65} = 27 + 0.85(1)[/tex]

[tex]P_{65} = 27 + 0.85[/tex]

[tex]P_{65} = 27.85[/tex]

Solving (d): The 75th percentile

This is calculated as:

[tex]P_{75} = 75 * \frac{N +1}{100}[/tex]

[tex]P_{75} = 75 * \frac{8 +1}{100}[/tex]

[tex]P_{75} = 75 * \frac{9}{100}[/tex]

[tex]P_{75} = \frac{75 * 9}{100}[/tex]

[tex]P_{75} = \frac{675}{100}[/tex]

[tex]P_{75} = 6.75th[/tex]

This is then calculated as:

[tex]P_{75} = 6th + 0.75(7th - 6th)[/tex]

[tex]P_{75} = 28 + 0.75(30- 28)[/tex]

[tex]P_{75} = 28 + 0.75(2)[/tex]

[tex]P_{75} = 28 + 1.5[/tex]

[tex]P_{75} = 29.5[/tex]

find c and round to the nearest tenth

Answers

Answer:

Step-by-step explanation:

<C = ?

a = 22

b = 20

c = 18

Formula

c^2 = a^2 + b^2 - 2*a*b* cos(C)

Solution

18^2 = 22^2 + 20^2 - 2*22*20*cos(C)

324 = 484 + 400 - 880*cos(C)

324 = 884 - 880*Cos(C)

-560 = - 880 * cos(C)              

-560 / - 880 = cos(C)

0.63636   =  cos(C)

C = cos-1(0.63636)

C =50.48

Answer:

20

Step-by-step explanation:

please help me thank you

Answers

Answer: the fully simplified version would be 8/x^5y^4

Instant brainliest please help.

Answers

35 T Shirts is correct.

35 shirts times $15 is $525.
220 total shirts minus 35 shirts is 185.
185 times $10 a youth shirt is $1850.
$1850+$525=$2375 :)

what is the derivative of 5(x+2)​

Answers

Answer:

5

Step-by-step explanation:

d(5(x+2))/dx

d(5x+10)/dx

d(5x)/dx + d(10)/dx

5+0

5

Nolan is 11
4
5
years old. Jillian is 1
1
6
years older than Nolan and Jane is 1
1
3
years older than Jillian. How old is Jane?

Answers

Answer:

Jane is 13.

Step-by-step explanation:

Nolan is 11

Jillian is 12 because Jillian is 1 year older than Nolan.

Jane is one year older than Jillian. Which leads to the statement that Jane is 13 years old.

find the value of x.

Answers

Answer:

x = 120 degress

Step-by-step explanation:

I can help with more, I have the answers.

A checking-account balance is no more than $500. find the
inequality

Answers

Answer:

x <= 500

Step-by-step explanation:

x (how much money) is less than, or equal to $500.

Sarah is going to invest $8,600 and leave it in an account for 16 years. Assuming the
interest is compounded annually, what interest rate, to the nearest tenth of a percent,
would be required in order for Sarah to end up with $18,500?

Answers

Answer:

4.9%

Step-by-step explanation:

What equivalent ratio to 5:15?

Answers

Answer:

10 : 30

Step-by-step explanation:

Answer:

10:30

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


[tex]simplify \sqrt{21 - 20i} [/tex]

Answers

Answer:

o. k this is a required answere

Complete the statement describing the solution set to this compound inequality.

Complete the statement describing the solution set to this compound inequality. 3 − 2x ≥ 11 or x + 6 > 14
The solution set includes all values of x that are ___ or ___
a. no more than -4
b. no more than -7
c. at least -7
d. at least -4

a. less than 8
b. less than 20
c. greater than 20
d. greater than 8

Answers

Answer:

I believe it is D. at least -4 and also D. greater than 8

Step-by-step explanation:

The solution set includes all values of x that are a. no more than -4 or d. greater than 8.

What is a linear inequality ?

Comparing linear expressions which are non equal by inequity signs.

According to the given data.

Complete the statement describing the solution set to this compound inequality 3 − 2x ≥ 11 or x + 6 > 14.

For 3 - 2x ≥ 11

3 - 2x ≥ 11

- 2x ≥ 11 - 3

-2x ≥ 8

 - x ≥ 4

Now make x positive by moving it to the other side and this also switches the inequality.

x ≤ - 4.

For x + 6 > 14

x + 6 > 14

x > 14 - 6

x > 8.

So we have two value of x one is less than or equal to -4 and the other is greater than 8.

Learn more about inequalities here :

https://brainly.com/question/20383699

#SPJ6

Use the office to approximate the number in the sample

Answers

where's the sample?

lol

mr hoges wonts to buld a fences around his entir retangler garden what is the totle distance around his garden

Answers

Answer:

perimeter = 2(length) + 2(width)

Step-by-step explanation:

Find the value of x. I WILL GIVE 100 POINTS ANSWER QUICK!

Answers

Answer:0.714 not sure exactly  if i need to simplify, mullitiply,  or divide.

Step-by-step explanation:

the answer is 0.714 ! hope this helped clarify

Are there any vertical, complimentary, or any supplementary angles here ? And label for ex. 1 supplementary

Answers

Supplementary: 1 and 2 & 3 and 4

Supplementary angles: A pair of angles whose sum is equal to 180°.

Vertical: 1 and 3 & 2 and 4

Vertical angles: A pair of opposite angles that are made by two intersecting lines.

Complimentary: None

Complimentary angles: A pair of angles whose sum is equal to 90°.

Hope this helps! :D

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