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

Plz plz help help help plz plz help plz

Answers

Answer:

since your adding to hours each time youll have 11, then the answer would be d the last one :)

Step-by-step explanation:

Answer:25.50 an hour

Step-by-step explanation:

Macy's charges $12 for an item plus a $10 shipping and handling charge for the order. What is the cost of an order of of 5 of those items?

Answer pls idk get it pls

Answers

Answer:

$72 is your answer

Step-by-step explanation:

hope this helps ♡

PLEASEEEEE HELPPPP ASPPPPPPP

Answers

Answer:

The answer is A because a number on it's own is a constant (30) and a number with a variable is a coefficient (12h)

Which expression represents the word phrase the product of 3 and 6 more than a number? 3(x+6) 3(6−x) 3x + 6 I don't know.

Answers

The expression that represents the word phrase of the product of 3 and 6 more than a number is 3(6 + x).

Let the given number be x.

Therefore, the expression that represents the word phrase the product of 3 and 6 more than a number will be:

= 3(6 + x)

In conclusion, the correct option will be 3(6 + x).

Read related link on:

https://brainly.com/question/11924335

Mars is about 35,000,000 miles away from earth. If the moon is 250,000 miles away from earth, about how many times further is Mars?

Answers

Answer:

mars is 140 times farther than the moon

Step-by-step explanation:

hope this helped :-)

A rubber tree is 95 inches tall and growing at a rate of 4 inches per year. A cactus is 40 inches tall and growing at arate of 5 inches per year. After how many years will the rubber tree be shorter than the cactus tree

Answers

The rubber tree starts off at 95 in and increases 4in per year. We can write this as 95 + 4y (y representing the number of years) the cactus tree starts off at 40 in and increases 5 in per year so we can write is as 40 + 5y. We want to find out y when the cactus is taller so
95+4y < 40+5y And we solve for y
Subtract 40 from both sides
55+4y < 5y
Subtract 4y from both sides
55 < y
Y is any number over 55 but we need the year when the cactus will be taller
So in 56 years the cactus will be taller.

Is it possible for two numbers to have a difference of 5, and a sum of 12?

Answers

Answer:

yes, 8.5 and 3.5

Step-by-step explanation:

8.5 + 3.5 = 12

8.5 - 3.5 = 5

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The two numbers are 8.5 and 3.5.

Yes, it is possible to have two numbers that have a difference of 5 and a sum of 12.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 4 is an equation.

3x = 4 + 3 is an equation.

We have,

Let the two numbers be M and N.

Now,

Two numbers have a difference of 5.

This can be written as,

M - N = 5 _____(1)

Two numbers sum is 12.

This can be written as,

M + N = 12 _____(2)

From (1) and (2) we get,

M - N = 5

M = 5 + N _____(3)

Putting (3) in (2)

M + N = 12

5 + N + N = 12

5 + 2N = 12

2N = 12 - 5

2N = 7

N = 7/2

N = 3.5

Putting in (3) we get,

M = 5 + 3.5

M = 8.5

We can cross-check.

M - N = 5

8.5 - 3.5 = 5 (PROVED)

M + N = 12

8.5 + 3.5 = 12 (PROVED)

Thus,

The two numbers are 8.5 and 3.5.

Yes, it is possible to have two numbers that have a difference of 5 and a sum of 12.

Learn more about equations here:

https://brainly.com/question/17194269

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Answer for brainliest and 15 points

Answers

Answer:

1) C

2) O

3) P

4) T

5) I

6) C

7) P

8) S

9) A

10) L

11) T

12) E

13) L

Step-by-step explanation:

Which multiplication expression can be used to check this division problem: StartFraction 2 Over 5 EndFraction divided by StartFraction 4 Over 15 EndFraction = StartFraction 3 Over 2 EndFraction Two-fifths times StartFraction 4 Over 15 EndFraction Three-halves times StartFraction 4 Over 15 EndFraction Three-halves times StartFraction 15 Over 4 EndFraction Five-halves times StartFraction 15 Over 4 EndFraction

Answers

Given:

[tex]\dfrac{2}{5}\div \dfrac{4}{15}=\dfrac{3}{2}[/tex]

To find:

The correct multiplication that can be used to check this division problem.

Solution:

We have,

[tex]\dfrac{2}{5}\div \dfrac{4}{15}=\dfrac{3}{2}[/tex]

[tex]\dfrac{\dfrac{2}{5}}{\dfrac{4}{15}}=\dfrac{3}{2}[/tex]

Multiply both sides by [tex]\dfrac{4}{15}[/tex].

[tex]\dfrac{\dfrac{2}{5}}{\dfrac{4}{15}}\times \dfrac{4}{15}=\dfrac{3}{2}\times \dfrac{4}{15}[/tex]

[tex]\dfrac{2}{5}=\dfrac{3}{2}\times \dfrac{4}{15}[/tex]

So, the required multiplication is [tex]\dfrac{3}{2}\times \dfrac{4}{15}[/tex].

Therefore, the correct option is B.

Answer:

Which multiplication expression can be used to check this division problem:  StartFraction 2 Over 5 EndFraction divided by StartFraction 4 Over 15 EndFraction = StartFraction 3 Over 2 EndFraction

Two-fifths times StartFraction 4 Over 15 EndFraction

Three-halves times StartFraction 4 Over 15 EndFraction

Three-halves times StartFraction 15 Over 4 EndFraction

Five-halves times StartFraction 15 Over 4 EndFraction

Step-by-step explanation:

( B) AKA 3/2 x 4/15 . This is correct  because I just took the test

What is the sum of the first five prime numbers?

18

26

28

39

Answers

Third option, it's 28
i it’s the third awnser 28


please help .thanks

Answers

Answer:

2 and 1/5 is greater than 2.15

Step-by-step explanation:

This is true because 1/5 is equal to .20 which is greater than .15

Answer:

B, >

Step-by-step explanation:

2 1/5

2*5= 10+1= 11

11/5 vs 2.15

2.2 vs 2.15

2.2 > 2.15

Hellppppppppppppppppp

Answers

Answer: im pretty sure its option 2

Step-by-step explanation:

Kelly read 13 chapters of a 25 chapter book. What percent of the book is completed?

Answers

52% of the book has been read.



In order to determine this you take 13 and divide it by 25.



13/25=0.52


Ps: the slash is represents a divison sign.


X-4y=15 and 8x-5y=42

Answers

Answer:

y=-2 8/9

x=31 1/2

Step-by-step explanation:

x-4y=15 --> x=4y+15

8x-5y=42

8(4y+15)-5y = 42

32y +120 - 5y = 42

27y = -78

y=-2 8/9

x=31 1/2

Please help 13 points and will give branliest :)

Answers

Answer:

a. Yes

b. minutes 3 to 6

c. yes, as long as they do not have the same x-value.

Yes
3 to 2
Yes
Hope this helped

Put these in order starting from the smallest
5^2 2^4 3^3 1^8

Answers

Answer:

1^8, 2^4, 5^2, 3^3 is the answer.

The numbers ordered from the smallest to the largest is [tex]1^{8} , 2^{4} , 5^{2} , 3^{3}[/tex].

What is the order of the numbers?

In order to determine the order of the numbers, we have to solve for the numbers. The power of a number can be solved by multiplying a number by its number of power.

[tex]5^{2}[/tex] = 5 x 5 = 25

[tex]1^{8}[/tex] = 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 = 1

3³ = 3 x 3 x 3 = 27

[tex]2^{4}[/tex] = 2 x 2 x 2 x 2 = 16

To learn more about perfect squares, please check: https://brainly.com/question/22947195

3x^2 + 2x^2=


6x^3 - 2x^3=


first answer gets brainiest :)

Answers

Answer:

1) [tex]13x^{2}[/tex]

2) [tex]208x^{6}[/tex]

Step-by-step explanation:

(3*3(x)^2) + (2*2(x)^2) = 9x^2 + 4x^2 = 13x^2

(6*6*6(x)^3) - (2*2*2(x)^3) = 216x^3 - 8x^3 = 208x^3

Are u confused, depressed, and need help with homework?



















Too bad, so am i






















it's ok.​

Answers

Answer:

true, i feel ya.

Q4. Find the range, standard deviation, and variance for the following sample data:
33, 55, 29, 40, 8, 90, 61, 41, 17, 80, 56, 17, 59, 21,78
plz answer this!

Answers

Answer:

40 I think but no I think

Arrange the decimals from least to greatest. Choose the letter below that shows the order least to greatest.

5.00 0.55 0.005 5.005 5.5

0.55, 0.005, 5.00, 5.5, 5.005

0.005, 0.55, 5.00, 5.005, 5.5

0.005, 5.00, 0.55, 5.005, 5.5

Answers

Answer:

ima guess 3

Step-by-step explanation:

Answer:

the 3rd one

Step-by-step explanation:

0.005, 0.55, 5.00, 5.005, 5.5

brainlyest?

Choose the linear equation written in slope-intercept
form that matches each graph.

Answers

Answer:

D

Step-by-step explanation:

y-intercept or "b":

the line touches the y-axis at -4

slope:

the line rises 1, runs 1 every time

equation:

the y-intercept of -4 combined with the slope of 1/1 is the equivalent of

y=1x/1-4 OR in a more simplified format: D, y = x - 4

Find the third, fifth, and seventeenth terms of the sequence described by
the explicit formula: f(n)=-9.2-2.5(n-1)

Answers

Given:

The explicit formula of a sequence is

[tex]f(n)=-9.2-2.5(n-1)[/tex]

To find:

The third, fifth, and seventeenth terms of the sequence.

Solution:

We have,

[tex]f(n)=-9.2-2.5(n-1)[/tex]

For n=3,

[tex]f(3)=-9.2-2.5(3-1)[/tex]

[tex]f(3)=-9.2-2.5(2)[/tex]

[tex]f(3)=-9.2-5[/tex]

[tex]f(3)=-14.2[/tex]

For n=5,

[tex]f(5)=-9.2-2.5(5-1)[/tex]

[tex]f(5)=-9.2-2.5(4)[/tex]

[tex]f(5)=-9.2-10[/tex]

[tex]f(5)=-19.2[/tex]

For n=7,

[tex]f(7)=-9.2-2.5(7-1)[/tex]

[tex]f(7)=-9.2-2.5(6)[/tex]

[tex]f(7)=-9.2-15[/tex]

[tex]f(7)=-24.2[/tex]

Therefore, the third, fifth, and seventeenth terms of the sequence are -14.2, -19.2 and -24.2 respectively.

Simplify the expression 32a769. Assume a = 0 and b +0.
Enter the correct answer in the box.

Answers

Answer:

2a^2b^3 ^3squareroot4a

Step-by-step explanation:

The sum of the digits of a two-digit number is 12. The number formed by reversing the digits is 54 more than the original number. What is the original number?

Answers

Answer:

39

Step-by-step explanation:

let the 2 digit number be ab = 10a + b ( considering place value )

The reversed  2 digit number is ba = 10b + a

The sum of the 2 digit number is

a + b = 12 ( subtract b from both sides )

a = 12 - b → (1)

Expressing as an equation

ba = ab + 54 , that is

10b + a = 10a + b + 54

Substitute a = 12 - b into the equation

10b + 12 - b = 10(12 - b) + b + 54 , simplify both sides

9b + 12 = 120 - 10b + b + 54

9b + 12 = - 9b + 174 ( add 9b to both sides )

18b + 12 = 174 ( subtract 12 from both sides )

18b = 162 ( divide both sides by 18 )

b = 9

Substitute b = 9 into (1)

a = 12 - 9 = 3

Thus

the original 2 digit number = ab = 39

The reversed 2 digit number = ba = 93

which is 54 more than the original number

Line M is represented by the following equation: x − y = 8

Which equation completes the system that is satisfied by the solution (18, 10)? (4 points)

a
2x − y = 26

b
x + y = 18

c
2x − 2y = 36

d
x − y = −28

Answers

Answer:Let's plug in (18,10) into each answer choice until we find the one that has it as a solution.

A) 2x - y = 26

2(18) - 10 = 26

36 - 10 = 26

26 = 26

Your answer is A.

I'll just do the rest to show that you the they are incorrect.

B) x + y = 18

18 + 10 = 18

28 ≠ 18

C) 2x - 2y = 36

2(18) - 2(10) = 36

36 - 20 = 36

16 ≠ 36

D) x - y = -28

18 - 10 = -28

8 ≠ -28

Your answer is A) 2x - y = 26.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

2(18) - (10) = 26

36 - 10 = 26

P(An B)
P(AB) =
P(B)
Freshmen
Sophomores
Juniors
Seniors
1
4
2.
Boys
3
9
7
6
5
Girls
P(Boy|Senior) =
ON
?

Answers

The probability of P(Boy/Senior) is 2/37.

Given that, the total number of students=37 and the number of senior boys=2.

P(A|B)=P(A ∩ B)/P(B).

We need to find P(Boy/Senior).

What is P(A∩B)?

P(A ∩ B) indicates the probability of A and B, or, the probability of A intersection B means the likelihood of two events simultaneously, i.e. the probability of happening two events at the same time.

Now, P(Boy/Senior)=2/37.

Therefore, the probability of P(Boy/Senior) is 2/37.

To learn more about the probability of an event visit:

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Answer:

2/7

Step-by-step explanation:

2 seniors / 7 seniors in total

The equation of the line in the graph is y= (blank) x+ (blank)

Answers

Y= -1x + -1 is the answer

Which steps can be used in order to determine the solution to -1.3+4.6x=0.3+4x?

Answers

Answer:

x = 2.67

Move variables to the right and constants to the left, Then divide and you get the answer.

Step-by-step explanation:

-1.3+4.6x=0.3+4x (given)

-1.3x + 0.6x =0.3 (subtraction property of equality)

0.6x = 1.6 (addition property of equality)

x = 2.66666666667 (division property of equality)

2.66666666667 = 2.67 (rounding to the nearest tenth)

-1.3+4.6x=0.3+4x
-0.3. -0.3
-1.6+4.6x=4x
-4.6x. -4.6x
-1.6=-0.6x
___. ___
0.6. 0.6

-2.66666667=x

What is the first step in simplifying the following expression?

(((4+7) -2)^2 *4 -1 ÷2)

Your answer:

1÷2


2^2


2*4


(4+7)

(helppp!)

Answers

According to BODMAS rule...

We would first solve...

Bracket i.e.(4+7)

PLS HELP DUE TODAY i will give brailest if you show all work please help

Answers

Answer:

15) 3(4+r)=-18

3x4+3xr

12+3r= -18

-12        -12

3r= -30

/3    /3

r= -10

Step-by-step explanation:

distribute the 3 to the 4 and the r you should then have 12+3r=-18 and so subtract from both sides 12 and you should have 3r=-30 divide both sides by 3 and you get your answer r=-10

Answer:

(7) n=9

8) x=8

9) m=-7

10) b= -6

11) r=6

12)b=10

13)v=8

14)k=-8

15)r=-10

16)p=20

17)v=10

18)x=21

19)a=28

20)b=10

Step-by-step explanation:

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