2/3 of a number is 20 less than the original number. Find the original number

Answers

Answer 1

Answer:

60

Step-by-step explanation:

Let the original number be x.

According to the question we can write as (2/3)x+20x

On rearranging x−(2/3)x=20

Now taking the L.C.M od 1 and 3 is 3

(3x−2x)/3=20

x/3=20

Again by transposing x=60

So the original number is 60

Answer 2

Answer:

60

Step-by-step explanation:

Let the number be x

2/3 x = x -20

20 =x -2/3x

1/3 x =20

60 = x.


Related Questions

x+2=18
3(x+2)=18
How can we get Equation B from Equation A?

Answers

Answer:

x+2 = 18  

x = 18-2

x=16

3(x+2) =18

3x + 6 =18

3x = 18 -6

3x = 12

x = 12/3 = 4

Step-by-step explanation:

one exterior angle of a regular polygon measures 22.5 degrees. How many sides does the polygon have?

Answers

Answer:

16

Step-by-step explanation:

The sum of the exterior angles of a polygon = 360°

Divide by 22.5 to find the number of sides n

n = [tex]\frac{360}{22.5}[/tex] = 16

It an be concluded tat the regular polygon has 16 sides

A regular polygon is a polygon with equal angles and equal sides.

The sum of exterior angles of a regular polygon is 360°

According to the given data

One exterior angle of a regular polygon measures 22.5 °

Let us consider that the regular polygon has "n" sides

So from the exterior angle sum property of the regular polygon we can write that

[tex]\rm n \times 22.5\textdegree = 360 \textdegree\\ n = 360\textdegree /22.5\textdegree \\n = 16[/tex]

So it an be concluded tat the regular polygon has 16 sides

For more information please refer to the link given below

https://brainly.com/question/22831826

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What is 33.765 rounded to the nearest hundredth?

Answers

Answer:

33.77

Step-by-step explanation:

Anna wants to bake 2 1/2 dozen cookies for a party. However, the recipe she has only makes a dozen cookies. If the original recipe calls for 1 1/4 cups of sugar, how many cups of sugar does she need to make the cookies for her party? Express your answer as a mixed number.

Answers

Given :

Sugar required for 2 1/2 = 5/2 dozen of cookies is 1 1/4 = 5/4 cups.

To Find :

How many cups of sugar does she need to make the cookies for her party.

Solution :

Let, cups of sugar required to make cookies for her party is x.

So,

[tex]x = \dfrac{\dfrac{5}{4}}{\dfrac{5}{2}}\\\\\\x = \dfrac{1}{2}[/tex]

Therefore, 1/2 cup of cookies is required to make 1 dozen cookies.

Hence, this is the required solution.

Answer: 25/8

Step-by-step explanation:  

We would first turn 2 1/2 and 1 1/4 into an improper fraction.

That leaves us with 5/2 and 5/4.

Then, because she needs to make 5/2 dozen cookies and needs 5/4 cups of sugar for every batch, we would multiply 5/2 and 5/4 together.

Therefore x, or the amount of sugar she needs, is 25/8

At night, the temperature in the fall in lowa is 35°F. During the day, the temperature rises 23°F.
What is the temperature in lowa during the day?

Answers

Answer:

58˚F

Step-by-step explanation:

35 + 23 = 58

I hope this helps, have a nice day! :)

What is the factored form of x°-1?
(x2-1)(x2+x+1)
o (x-1)(x2-x+1)
o (x-1)(x2+x+1)
o (p-1)(x2+2x+1)

Answers

Answer:

o (x-1)(x2-x+1)

Step-by-step explanation:

i think hopefully it's right

Silvio is putting his books on a shelf. The shelf is 12 inches long. If each book Is LaTeX: 1\frac{1}{2}1 1 2inches wide, how many books can he put side-by-side on the shelf?

Answers

Answer:

8 books

Step-by-step explanation:

1 book = 1 1/2 inches

Length of the shelf = 12 inches

Hence,

3/2 inches = 1 book

12 inches = x

3/2 × x = 12 × 1

x = 12 ÷ 3/2

12 × 2/3

4 × 2

= 8 books

Hence, he can put 8 books side-by-side on the shelf.

To add or subtract fractions, what must you have?

Answers

Answer:

You need a common denominator.

Step-by-step explanation:

3/4+2/3

9/12+8/12

Answer:

Equal denominators/common denominators

Step-by-step explanation:

You need to have equal denominators. If you do not, then you have to multiply the denominators against each other as well as multiplying the same number to the numerator. If a number is a factor of one of the numbers then multiply the number by its other factor so as to get the same number.

Ex. 1

First one explained:

2/3 + 4/5

1/3 * 5/5 = 5/15

2/5 * 3/3 = 6/15

5/15 + 6/15 = 11/15

Common denominator = 15

Ex. 2

Second one explained:

2/8 + 1/4

2/8 + 1/4*2/2 = 2/8 + 2/8

= 4/8

Common Denominator = 8

Hope this helped,

Kavitha Banarjee

Can someone graph this

Answers

Answer:

Here its graphed for u!!

Step-by-step explanation:

What is the slope of the line in the graph?

Answers

Answer:

My answer would be y=2x+1

Step-by-step explanation:

quick i need hellppppp!!!!

Answers

Answer:

D

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Please help asap (math)!!

Answers

Answer: 3

Step-by-step explanation:

Pls who knows how to do this

Answers

Answer:

I think 31° is the answer

For which equation is a = 4 not the solution?

9 a = 36
5 a = 54
8 a = 32
6 a = 24

Answers

9x4=36 X

8x4=32 X

6x4=24 X

5x4=20, not 54.

So 5xA=54 is the correct answer

hope it helps!

Which situation CANNOT be represented by the equation x + 12 = 30?

Total snowfall for the winter was 30 inches. In January, it snowed 12 inches. What is x, the amount of snow that fell during
the other winter months?

Maria had $12. When she combined her money with Sarah, they had $30. What is x, the amount of money Sarah had?

Juanita spent $30 at the store buying a shirt and shorts. She bought a shirt for $12. What is the cost, x, of the shorts?

James 12 miles on Monday and 30 miles on Tuesday. What is, x, the total number of miles James ran all together?

Answers

Answer: D IS THE CORRECT ANSWER

Step-by-step explanation: MARK BRAINLIEST PLS

Answer:

I took the test ._.

rules of a formal debate

Answers

Answer:

Step-by-step explanation:

be formal and dont yell

Answer:

Each of the six speakers (three affirmative and three negative) speak in succession to each other, beginning with the Affirmative Team. The speaking order is as follows: First Affirmative, First Negative, Second Affirmative, Second Negative, Third Affirmative, and finally Third Negative.

Step-by-step explanation:

A tiny aeroplane accelerates at 35 m/s2 with a force of 20 N. What is the mass of the aeroplane?

Answers

Answer:

17/2

Step-by-step explanation:

-5 2/3 + -3 1/9
need the answer
a. 2 1/6
b. -8 7/9
c. -8 1/4
d. 8 1/4​

Answers

Answer:

-8/7/9

Step-by-step explanation:

Hope this helps and have a great day :)

Answer:

Step-by-step explanation:

-5 2/3 +-3 1/9

-79/9 or - 8 7/9

what number is 2e+204

Answers

e is equal to 2.71828
2(2.71828) + 204 = 209.44

Factoring Polynomials Completely

Answers

The answer would be

(x+2)

The first option

Factoring [tex]6x^2+7x-10[/tex]

gives us:

[tex]\left(6x-5\right)\left(x+2\right)[/tex]

so we know that the first option,

one of the factors is (x+2) is correct.

What is the value of x?

Enter your answer, as a decimal, in the box.

cm
Triangle M N P with segment A B parallel to segment N P and A is between M and N and B is between M and P. M N equals 46.2 centimeters, A N equals 14 centimeters, M P equals 72.6 centimeters, and M B equals x.

Answers

52.18cm I think is your answer

Please help
Hello,

I will mark brainliest to the one who answers
my question right and who does not copy what
someone else answered No cussing and
or Inappropriate words to get marked brainliest
Also say HAPPY THANKSGIVING

Thanks,
brownarietta8

Answers

Answer:

3/n - 10

Step-by-step explanation:

Subtracted from means it comes after

Quotient means divide

3/n - 10

$1500 at 4% for 5 years

show your work please.

Answers

Answer:

$12825

Step-by-step explanation:

If the amount is 1.500 and intrest rate 4.00% and we have 5 years to invenst then that gives us $12.825

Find the value of X

PLEASE

Answers

Answer:

x ≈ 18

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Trigonometry

Law of Cosines: a^2 = b^2 + c^2 - 2(b)(c)cosA

a is a side lengthb is a side lengthc is a side lengthA is an angle corresponding with side a

Step-by-step explanation:

Step 1: Define

a = x

A = 30°

b = 16

c = 30

Step 2: Solve for x

Substitute:                    x² = 16² + 30² - 2(16)(30)cos30°Exponents:                   x² = 256 + 900 -2(16)(30)cos30°Evaluate:                       x² = 256 + 900 -2(16)(30)(√3/2)Multiply:                        x² = 256 + 900 - 480√3Add:                              x² = 1156 - 480√3Subtract:                       x² = 324.616Isolate x:                       x = √324.616Evaluate:                       x = 18.0171Round:                          x ≈ 18

HELP THIS IS IMPORTANT!!!! The table shows the outputs, y, for different inputs, X: Input (x) 6 12 15 25 Output (y) 14 15 15 16 Part A: Do the data in this table represent a function? Justify your answer. (3 points) I Part B: Compare the data in the table with the relation f(x) = 7x – 15. Which relation has a greater value when x = 67 (2 points) Part C: Using the relation in Part B. what is the value of x if f(x) = 67 (5 points) (10 points)​

Answers

Answer:

A) sure there is one value of y for every value of x

B) in table y = 8

in function

y = 5(11) - 21 = 55-21 = 34

C) 99 = 5 x - 21

5 x = 120

x = 24

find answer in terms of pi

Answers

Answer: V= 169.56 cubic squared

Explanation: V= πr2h
V= π (3)^2 (6)
V= 3.14 (9) (6)
V= 169.56 cubic squared

Answer:

Step-by-step explanation:

V = π r² h

V = π 3² × 6

V = π 9 × 6

V = π 54 units³

or 54 π units³

A price is decreased by 5% and is now £779.
Work out the original price.

Answers

Answer:

820

Step-by-step explanation:

779/x = 95/100

779×100

77,900 ÷ 95

820

Mr Roman drove from his hometown to another city. He used 12 1/4 gallons of gas for 318 1/2 mile trip. On average, how many miles did Mr. Roman travel per gallon of gas

Answers

Answer: 26 miles

Step-by-step explanation:

Gallons of gas used = 12 1/4 = 12.25

Distance of the trip = 318 1/2 = 318.5 miles

The miles that Mr. Roman travel per gallon of gas will be:

= Distance of the trip / Gallons of gas used

= 318.5/12.25

= 26 miles

Mr Roman travelled 26 miles per gallon of gas

Jerry left his house and walked l.5 miles directly west. Then he walked 1.5 miles directly east. At this point, how many miles was Jerry from his house?

Answers

Answer: he should be at home im sure

Step-by-step explanation:

James runs 8 laps in 14 minutes. How many laps can he run in one hour and ten minutes?

Answers

Answer: Don't come at me if I'm wrong, but I believe it's 40 laps.

Step-by-step explanation:

First, you need to figure out how many laps James runs in 1 minute and you can do this by dividing the number of laps and minutes (8 laps/14 minutes). This should give you 4/7 laps/minute.

Next, you figure out how many minutes 1 hour and 10 minutes is (just to make things easier) 1 hour and 10 minutes = 70 minutes

Then, you multiple 4/7 and 70 and you get 40 laps.

Answer:

40 laps

Step-by-step explanation:

I just put this into a proportion

so basically i just did 8/14 = ?/70

Then i just worked it like any other problem

8 x 70 then divide 14 and i got 40.

so James ran 40 laps in one hour and tens minutes

NOTE that i turned one hour and ten minutes into minutes

pls mark brainleist

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