Two thirds of a number reduced by 11 is equal to 4 more than the number. Find the
number.

Answers

Answer 1
Assume that the number is x:

2/3 of x take off 11 = 4x

Transform into numerical / algebraic form:

2/3 * x - 11 = 4x

Next multiply both sides by 3 to get rid of the fraction:

2 * x - 33 = 12x

Simplify:

2x - 33 = 12x

Isolate 2x by adding 33 to both sides:

2x = 12x + 33

Isolate 33 by taking 12x off both sides:

-10x = 33

Divide both sides by -10 to get the value of x:

x = 33/-10 (or x = -3.3)

Therefore the number is -3.3

Related Questions

worth 20 points.
Paulette’s brother gave her his DVD collection of 25 movies when he went to college. She started buying DVDs each month after that. The line-of-best fit which models the relationship between the number of DVDs Paulette has in her collection (n ) and the time since her brother went to college in months (m ) is given in the box.
n=1.8m+25


To the nearest number of DVDs, what is the approximate number of DVDs in Paulette’s collection after 14 months?​

Answers

1.8(14)+25=50
after 14 months, paulette has 75 DVDs in her collection

The approximate number of DVDs in Paulette’s collection after 14 months is 75 DVDs.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have,

let the collection of DVDs ne n and the time spend is m.

and, the Equation for the situation is

n = 1.8 m + 25

Now, the number of DVDs in collection after 14 months is

= 1.8 (14)+ 25

= 50.2

So, the total number of DVDs are

= 50 + 25

= 75

Learn more about Equation here:

https://brainly.com/question/29657983

#SPJ2

**HELP ME ASAP! THANKS** What is the area of the triangle?

Answers

54 because the formula for the area of triangle is 1/2bh so you just substitute the b and h for 18 and 6
It is 54 hope this helps :)

Three of the four points below are on the graph of a proportional relationship between the variables x and y. Which point is NOT on the graph(0,0)
(1,5)
(2,6)
(3,15)?

Answers

Answer:

I think 2,6

Step-by-step explanation: X5

The sum of three consecutive integers is 84. What are the three numbers?

Answers

three consecutive integers that add up to 84 are 27, 28, and 29.

how much less is 3,664 than 5,664 plz show ur working out AND THANK YOU A LOT ❤❤❤❤​

Answers

Answer:

3,664 is 2000 less than 5,664 because if you show your work, it is just subtraction. 5664

-3664

---------

2,000

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

Answers

Step-by-step explanation:

(1) Create a table containing a few values of x and y

y - 3 = ½(x + 2)

   y = ½(x + 2) + 3

x     y

-10    -1

-6      1

0      3

6      7

10     9

(2) Plot your points

Draw dots at the coordinates of each point.

(3) Draw the graph

Draw a smooth line through the points.

Extend the line in both directions to the edges of the plot area.

Your graph of y - 3 = ½(x+2) should look like the figure below.

Have a beautiful day!

Answer: Slope = 1/4   Y intercept is (0,4)  X Intercept is (-8,0)

Step-by-step explanation: you have to graph the points by using the slope and Y intercept

Then choose whether you would find the percent increase or percent decrease: A town’s population was 36,067 in 2005. Ten years later, the population is 37,902.

Answers

Answer:

Increase

Step-by-step explanation:

1,835 more people came

Find the probability and its complement.

Write your answers as a percent. Round to the nearest percent. You do not need to put the % sign.

There are 14 girls and 12 boys in a class.

P(boy) -

P(NOT boy) -

Answers

Answer: Boy- 46 %. not boy- 54%

Are the lines y=-2x-4 and 6x+3y=2 parallel? Answer Yes or No.

Answers

Yes, They are parallel

Brainliest?

Answer:

Yes

Step-by-step explanation:

Given lines:

y=-2x-4 and 6x+3y=2

One is given in slope-intercept form, the second one in standard form

Lets bring the second one to slope-intercept form:

6x + 3y = 23y = - 6x + 23y/3 = -6x/3 + 2/3y = -2x + 2/3

As we see both of the lines have the slope of -2

Since the slopes are same, the lines are parallel

Melanie needs 12 lb of metal with 59% metal. If Melanie combines one metal with 25% silver and another 68% metal, how much of each metal does she need.

Answers

Answer:

c

Step-by-step explanation:

HELP ME ASAP IF U CAN!!! a baker needs sugar syrup that is 40% sugar how many gallons of water shoud he add to 5 gallons of 70% sugar syrup to make the 40% syrup. WILL MAKE BRAINLYEST

Answers

Answer:

15/4

Step-by-step explanation:

Equation: 40(5+x)=70*5+0x

Solve:

200+40x=350

40x=150

x = 15/4

15/4 gallons is the answer.

3.75 gallons of water should he added to 5 gallons of 70% sugar syrup to make the 40% syrup

A linear equation is given by:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

Let x represent the amount of water in galloons needed to be added to make 40% sugar. Hence:

40% of (x + 5) = 70% of 5

0.4x + 2 = 0.7 * 5

0.4x = 1.5

x = 3.75

Therefore 3.75 gallons of water should he added to 5 gallons of 70% sugar syrup to make the 40% syrup

Find out more at: https://brainly.com/question/13911928

Ms. P brought 54 chocolates to class and Mr. O brought 72 candies. They want to package them in gift
bags to hand out to students that will give them equal amounts of Chocolates and Candies. What is the Greatest Number of Bags
they can put together! Please hurry

Answers

Answer:

18

Step-by-step explanation:

54/18= 9

72/18 =12

both numbers are devisable by 3, 6, 9 or 18

the greatest number there to use is 18

Answer:

18 bags

Step-by-step explanation:

If you put 3 chocolates in 18 bags you get 54 chocolates in total. Because 3 cannot be split down any lower it will provide the maximum number of bags able to be created.

There will be 3 chocolates and 4 candies in each bag. Making it evenly split to its greatest possibility.

What are their perimeters?

Answers

[tex]P_1=2\cdot2x+2\cdot(2x+7)=8x+14[/tex]

and

[tex]P_2=2x+x+x+8+x+6+x+2x=8x+14[/tex]

Seems like thier perimeters are equal.

Please help me with this question I don’t quite get it

Answers

100 times 80 =8000.

Answer: 8000

Step-by-step explanation:

Please help me with this !

Answers

Answer: x intercept : (3/2 , 0)

y intercept: (0, -2)

Step-by-step explanation:

please help i will give u brainlist

Answers

Answer:

The answer will be x>4 once you solve for x.

Step-by-step explanation:

Hope this helps!!

Please help me out!​

Answers

Perimeter of each face would be meters
meters bruh that’s easy lol

Amanda is hiking with her daughter, Mia who is only 1 yaar old and has very short leg. For every 3 steps Amanda makes, Mia takes 5 steps just to keep up.

Need help fast trying to take a test plsss help

Answers

Amanda table values: 3, 6, 15, 30
Mia Table values: 5, 10, 25, 50

which expression is equivalent to -3x + 24

Answers

Answer:

-1x + 8

Step-by-step explanation:

Since you did not give any multiple choice options, here is a problem that is equivalent, because I divided the whole problem by 3, making it exactly equal to the other problem in size.

what is 7+1000000000000000000000000000000000000000

Answers

Answer:

1000000000000000000000000000000000000007

Step-by-step explanation:

Answer each question. Would they be functions, or not functions?
Worth lots of points, will mark brainliest!

Answers

The answer is not functions

Answer:some are not functions and some are functions

Step-by-step explanation:

A Jar contains 2 red marbles,3 blue marbles,and 1 green marble. What is the probability of slecting a red marble?

Answers

Answer:

The probability would be 2/6

Step-by-step

there are 6 marbles in all

2 of them are red

2 out of the 6 are red

making the fraction 2/3 (or 1/3)

hope this helped!

Answer:

1/3.

Step-by-step explanation:

There are 2 red marbles out of a total of  6 marbles in the jar.

Probability of selecting a red marble = 2/6 = 1/3..

3(2x–7)=5–(1–x)
help please

Answers

Answer:

x=3

Step-by-step explanation:

3(2X-7)=5-(1-X)

6X-21=-5-1+X

6x-x=-5-1+21

5x=21-6

5x=15

x=3

Using the greatest common factor, reduce the fraction 32/48 to its simplest form.
A. 2/3
B. 8/12
C. 16/16
D. 4/12

Answers

16/24 = 4/6 = 2/3
Simplest form is A. 2/3

Answer:

2/3

Step-by-step explanation:

16 is the greatest common factor

 If 3x + 8x + 4x = 6x + 63, then what is 5x + 2​

Answers

Answer:

37

Step-by-step explanation:

3x + 8x + 4x = 6x + 63 ( combine like terms)

>15x = 6x + 63 (subtract from both sides)

-6x. -6x

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

>9x = 63. (divide both sides by 9)

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

9. 9

> x = 7 ( use this to plug in for your new equation)!

5(x) + 2

>5(7) + 2 (multiply 5*7)

> 35 +2 (then add)

> 37 is your answer

Maggie missed 8 out of her last 20 free throws. What is the experimental probability that Maggie will miss her next free-throw attempt?

Answers

The experimental probability is 40%.
Mark as brainliest!!


Phoebe was seling orchestra and balcony tickets for
her play. The graph below shows the Inear relationship between
the number of tickets she has left to sell?
A .Day 12
B.Day 10
C.Day 15
D.Day 20

Answers

Answer:

A. day 12

Step-by-step explanation:

because that is when both lines meet

brainliest please :)

5x + 4y = 6 and y = 5/4x + 5

Answers

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(−7/5,13/4)

Equation Form:

x=−75,y=134x=-75,y=134

Jamal used his savings to buy 15 pounds of flour at $0.42 per pound,
8 pounds of butter at $3.99 per pound, 1 pound of salt at $0.67
per pound, and 30 pounds of apples at $1.49 per pound. How much of
his saving did he use?
Plz help I’m doing a math test and my grades are pretty low

Answers

Answer: $83.49

Step-by-step explanation: You get every pound and multiply it by the money and add everything at the ned

what would the slope intercept equation of the line shown below​

Answers

Answer:

y = -2x - 4.

Step-by-step explanation:

The points marked are (-2,0) and (0,-4).

The slope of line =  (-4-0) / (0- -2)

= -4/2 = -2.

The y-intercept is at y = -4,

so the equation required is y = -2x - 4.

Answer:

y = - 2x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, - 4) ← 2 points on the line

m = [tex]\frac{-4-0}{0+2}[/tex] = [tex]\frac{-4}{2}[/tex] = - 2

The line crosses the y- axis at (0, - 4) ⇒ c = - 4

y = - 2x - 4 ← equation of line

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