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

Answers

Answer 1

Question :-

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

Required Solution :-

The original no. is 60

Explanation:-

Let the original no be" x "

It’s given, 2/3 of a number is less than the original number by 20.That means 2/3 of a no is =2/3x And 20 less than the original no = x-20.

[tex]\qquad[/tex] According to the question :-

[tex]\qquad \pmb{\sf\longrightarrow \dfrac{2}{3 }x= x-20}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow \dfrac {2}{3}x-x=-20}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow \dfrac{ 2x-3x}{3}=-20}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow \dfrac{ -1x}{3}=-20}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow -1x=-20\times 3}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow -1x=-60}[/tex]

[tex]\qquad \longrightarrow {\pink{\underline{\underline{\pmb{\sf{ x= 60}}}}}}[/tex]

Therefore

The original no. is 60.

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Related Questions

PLEASE HELP FAST I NEED THE ANSWER!!!!!
Which answers are examples of deductive reasoning?

Select each correct answer.

1. Jonathan leaves for school at 7:30 a.m. and is on time. Jonathan will always be on time if he leaves at 7:30 a.m.

2. Mary and Sue are friends. Mary enjoys fishing, running, and rock climbing. Sue likes fishing and rock climbing. Sue must also like running.

3. The local grocery store charges $3 for a gallon of milk. Joe is going to the local grocery store to buy milk. Therefore, Joe expects to spend $3 for a gallon of milk.

4. All three angles in an equilateral triangle measure 60°. Triangle ABC is an equilateral triangle. Therefore, all three angles in triangle ABC measure 60°.

Answers

3 and 4 are correct hope that helps <3

THE PERIMETER OF TRIANGLE DEF IS

Answers

Answer:

18

Step-by-step explanation:

I hope I could help!!

Let me know if you need a picture of my work.

Find two consecutive natural numbers whose sum is 63.​

Answers

Answer:

31 , 32

Step-by-step explanation:

Explanation :-

let one number be x.And the other will be ( x+1)

[tex]\qquad[/tex] According to the question :-

[tex]\qquad \pmb{\sf\longrightarrow (x+1)+x = 63}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow x+1+x=63}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow 2x+1=63}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow 2x=63-1}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow x=\cancel{\dfrac{62}{2}}}[/tex]

[tex]\qquad \longrightarrow {\pink{\underline{\underline{\pmb{\sf{ x= 31}}}}}}[/tex]

Verification:-

[tex]\qquad \pmb{\sf\longrightarrow (x+1)+x=63}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow 32+31=63}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow 63=63}[/tex]

Therefore

The two consecutive natural numbers whose sum is 63 will be x=31 and x+1=31+1=32

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can someone please help me with this ASAP?
THANKS SO MUCH

Answers

Answer: 25

Step-by-step explanation:

B=3÷5×100

 =60

D=0.35×100

  =35

so,    B-D=60-35

              25

yall if u can please try to answer all i have no clue

Answers

Answer:

u have no question lol??

Answer:

What? you didnt add the picture

Step-by-step explanation:

So
Ms. Hartselis katen weighed 6.8 pounds the last time she was at the vet's
office. If she was 5.3 pounds the first time she was weighed, what is the
percent increase in her weight? (To the nearest whole percent)

Answers

The nearest percent increase in 53 to 68 is about 29 percent.

what is 2x+3=r+2 ???

Answers

Answer:

R.4

thank you good luck

Answer:

What variable are you trying to solve? Imma just guess you are trying to solve for x since its on the left side so...

2x+3=r+2

Subtract three from both sides

2x=r-1

Divide 2 from both sides

x=r-1/2 OR

x=1/2r+-1/2

Step-by-step explanation:

Give brainliest pls

Have a nice day :D

Five Questions FIFTY POINTS...look please don't just get this points I really need help in math rn. tysm for your help really need it..no links please..
Question 1
Solve.

−3 2/3=x−1 1/4

What is the solution to the equation?

Enter your answer as a simplified mixed number in the box.
Question 2
Solve.

x − (−2 5/6)= −1/5

What is the solution to the equation?

Enter your answer as a simplified mixed number in the box.
Question 3
Solve.

−3 2/3x=−2 1/5

What is the solution to the equation?

Enter your answer as a simplified fraction in the box.
Question 4
Solve for m.

−3/7m=12

m=−28
m=−26
m = 26
m = 28
Question 5
Solve for b.

−1/3b=9

b=−27
b=−3
b = 3
b =27

Answers

Answer:

1 = −3 2/3 = − 1  1 / 4

2 = − (−2 5/6) = −1/5

3 = −3 2/3 = −2 1/5

4 = -28

5 = -27

You're welcome.

Answer:

1 = −3 2/3 = − 1  1 / 4

2 = − (−2 5/6) = −1/5

3 = −3 2/3 = −2 1/5

4 = -28

5 = -27

Step-by-step explanation:

what is x in .80x+30=1.20x+14

Answers

Answer:

x =  40

Step-by-step explanation:

.80x + 30 = 1.20x + 14

-.80x        = -.80x        

          30 = .4x  + 14

         -14 =         -14

           16 = .4x

            16/.4  = .4/.4x

              40    =  x

       

Write an equation for a line parallel to 4x – 2y = 4 that passes through the point (3,22)

Answers

Answer:

y = 2x + 16

Step-by-step explanation:

4x - 2y = 4

-2y = -4x + 4

y = -4/-2x + 4/-2

y = 2x - 2

Slope: 2

Point: (3,22)

y-intercept: 22 - (2)(3) = 22 - 6 = 16

Answer:

y=2x+16 or 2x-y=-16

Step-by-step explanation:

Hi there!

We are given the equation 4x-2y=4, and we want to write an equation for the line parallel to it, that also passes through (3, 22)

First, let's find the slope of the line, as parallel lines have the same slope.

In order to find the slope, we can convert the equation from standard form (ax+by=c) into slope-intercept form (y=mx+b).

Start by subtracting 4x from both sides:

-2y=-4x+4

Divide both sides by -2

y=2x-2

2 is in the place where x is, so the slope of the line is 2

It's also the slope of the line parallel to it.

Writing the equation in slope-intercept form, this is the equation so far:

y=2x+b

Now let's find b

Since the equation passes through the point (3,22), we can use it to help solve for b

Substitute 22 as y and 3 as x:

22=2(3)+b

Multiply

22=6+b

Subtract 6 from both sides

16=b

Substitute 16 as b in the equation.

y=2x+16

We can stop right here, but we can also re-convert it into standard form

To do that, subtract 2x from both sides:

-2x+y=16

There's a rule that the coefficient in front of x CANNOT be negative; in order to change the sign, multiply both sides of the equation by -1

2x-y=-16

Hope this helps!

5x^2+y^3-3y+3y^2=0 then find the dy/dx in terms of x and y

Answers

Answevjvj

vekv  

Step-by-step explanation:

Help me I have this question and two others

Answers

Answer:

Green line

Step-by-step explanation:

This is the only line that has coordinates (1,2) and the slope is positive.

Answer: You've probably already seen the basic method for graphing straight lines; namely, make a T-chart, plot some points, put your ruler against them, and draw the line. But the "nice" form of a straight line's equation (being the slope-intercept form, y = mx + b) can make graphing even simpler and faster.

Step-by-step explanation: hope this helps.

A ball is falling at terminal velocity. Terminal velocity occurs when the ball is in equilibrium and the forces are balanced.
Which free body diagram shows the ball falling at terminal velocity?
F 20 N
F
air
5 N
Cir
F 20 N
9
F. 20 N
F, 20 N
O
F 30 N

Answers

Answer:

b

Step-by-step explanation:

ps Im doing this for poitns

if you make 16.60 an hour , what will your weekly pay be ,(before taxes) if you work 38 hours per week?​

Answers

Answer:

$630.80

Step-by-step explanation:

$16.60 an hour

16.60 x 38 hours = $630.80

Answer:

116.20

Step-by-step explanation:

Please help solve!!!!

Answers

There is no problem to solve. Please share problem.

please help me with this.

Answers

Answer:

8.6 units

Step-by-step explanation:

use the distance formula:  d = [tex]\sqrt{(y-y)^2 + (x-x)^2}[/tex]

d = [tex]\sqrt{[(3-(-2)]^2 + (-3 - 4)^2}[/tex]

d = [tex]\sqrt{5^2 + (-7)^2}[/tex]

d = [tex]\sqrt{25+49}[/tex]

d = [tex]\sqrt{74}[/tex]

d = 8.6

Someone plz help me :(

Answers

Answer:

C)

Step-by-step explanation:

the factors are the terms being multiplied, which are 5 and 'm-1'

I think the Answer is C, sorry If I’m wrong

can someone help me with this lol

Answers

Answer:

desmos (dot com, slash calculator)

Step-by-step explanation:

There's an app called Desmos (you can access it through pc and phone) and it really helps with problems like these. I'm sorry that I can't give an explanation on how to solve inequalities, but I hope this helps.

3/√3 how to get final answer?

Is it like this
3=√3*√3

And
√3*√3/√3= √3

Answers

Answer:

[tex] \sf \sqrt{3} [/tex]

Step-by-step explanation:

[tex] \sf = \frac{3}{ \sqrt{3} } [/tex]

[tex] \sf = \frac{3}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } [/tex]

[tex] \sf = \frac{3 \sqrt{3} }{( \sqrt{3} \times \sqrt{3}) } [/tex]

[tex] \sf = \frac{3 \sqrt{3} }{3} [/tex]

[tex] \sf = \frac{ \cancel{3} \sqrt{3} }{ \cancel3} [/tex]

[tex] \sf = \sqrt{3} [/tex]

>> Answer

__________

[tex] \: [/tex]

[tex] \frac{3}{ \sqrt{3} } = ...[/tex]

[tex] = \frac{3}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } [/tex]

[tex] = \frac{3 \sqrt{3} }{( \sqrt{3}) {}^{2} } [/tex]

[tex] = \frac{3 \sqrt{3} }{3} [/tex]

[tex] = \bold {\sqrt{3} }[/tex]

The artist R. Locklen Jones selects 3 paintings from a collection of 6 to display in a row. How many different arrangements of the display are possible

Answers

Using the combination formula, it is found that 20 different arrangements of the display are possible.

The order in which the paintings are displayed is not important, hence, the combination formula is used to solve this question.

Combination formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 3 paintings are chosen from a set of 6, hence:

[tex]C_{6,3} = \frac{6!}{3!3!} = 20[/tex]

20 different arrangements of the display are possible.

A similar problem is given at https://brainly.com/question/24437717

5. Find the value of x. a 14 b. 166 c. 104 d. 289 6​

Answers

[tex] = > \: 7b \: + \: x \: = \: 180 \\ = > \: x \: = \: 180 \: - \: 76 \: \\ = > \: x \: = \: 140 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ [/tex]

candycakes22 (^‿^)

WHAHHATHWAHTHAWTHAWHTHWTHAWTHHWTHTWTHTA

Answers

Answer: it took 6 hours.

Step-by-step explanation: 6 x 55 is 330, then we add the $35 for service call and we get 365.

If c ⊥ b, what is m∠2?
a. 45
b 35
C. 135
D. 145

Answers

D 145 have a nice day in math class



A. The shipping cost is a function of the number of packages

B. The weight of the packages is a function of the number of packages

C. The shipping cost is a function of the weight of the package

D. The weight of the package is a function of the shipping cost

Answers

Answer:

C

Step-by-step explanation:

Y axis is F(x), the function of X axis

So, the shipping cost(Y) is a function of the weight (X)

Help? I dont remember how to do this!!!!

Answers

Answer:

13. 5^7

14. 7^1000

15. 16^10000

25 x 10 x 10 x 10 x 10 x 10 x 10

Step-by-step explanation:

tell me answer i need quick

Answers

Answer: x=18


7x-7=6x+11
7x-6x=11+7
x=18

Expand and simplify 3(5x-2)-2(2x-5)

Answers

11x+4

After distribution it goes to
15x-6-4x+10
Then after you simplify it goes to
11x+4
You first expand the brackets to get 15x-6-4x+10
You then group like terms
15x-4x+10-6
You then simplify to get
11x+4

If the price of a yo-yo in a shop increased by 20% and is now $3.60, what was the original price?

Answers

Answer:

$3.00

Step-by-step explanation:

$3.00 x .2 = 0.60. added to original

The original price of the yo-yo in a shop is $3.

What is the percentage?

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

It is given that the price of a yo-yo in a shop increased by 20% and is now $3.60.

The original price will be calculated as let the original price is x dollars. Then from the question, the expression will be formed as below:-

1.20x = 3.60

x = 3.60 / 1.20

Divide 3.60 by 1.20 to get the value of x.

x = $3

It means that the 20 percent is equal to the amount of $0.6.

Therefore, the original price of the yo-yo in a shop is $3.

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ5

What is the area, in square meters, of the shape below? Express your answer as a fraction in simplest form.

Answers

Step-by-step explanation:

A = 1/2 × at

a = 5/3 meter

t = 1/2 meter

A = 1/2 × 5/3 × 1/2

A = (1 × 5 × 1)/(2 × 3 × 2)

A = 5/12 m²

please help me wit dis

Answers

Answer:

Volume = 37.68 ft³

Step-by-step explanation:

[tex]V_{cone} = \frac{\pi r^2h}{3}[/tex]

Volume = [tex]\frac{(3.14)(9)(4)}{3}[/tex]

Volume = 113.04/3

Volume = 37.68

-Chetan K

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