When thirteen is reduced by two-thirds of a number, the result is 7. Find the number.
The number is

Answers

Answer 1

Answer:

30

Step-by-step explanation:

Let,

The req. number be = x

So,

Two - thirds of the number

[tex] = \frac{2}{3} x[/tex]

Then, it is reduced by 13

[tex] = \frac{2}{3} x - 13[/tex]

After that,

The req. result we get is = 7

Therefore,

By the problem,

[tex] = > \frac{2}{3} x - 13 = 7[/tex]

(On putting like terms on one side)

[tex] = > \frac{2}{3} x = 7 + 13[/tex]

(On Simplification)

[tex] = > \frac{2}{3}x = 20[/tex]

(On multiplying both sides with 3/2)

[tex] = > \frac{2}{3} x \times \frac{3}{2} = 20 \times \frac{3}{2} [/tex]

(On Simplification)

=> x = 30

Hence,

The req. number is 30.

Answer 2

Given that :

Thirteen is reduced by two-thirds of a number. And their result is 7.

To Find :

The number.

Solution :

Let's assume the number as x

According to the question :

[tex]\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x - 13 = 7 }[/tex]

Adding 13 to both sides we get :

[tex]\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x - 13 + 13 = 7 + 13 }[/tex]

[tex]\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x = 20 }[/tex]

Now, Multiplying both sides by [tex] \dfrac{3}{2} [/tex] we get :

[tex]\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x \times \dfrac{3}{2} = 20 \times \dfrac{3}{2} }[/tex]

[tex]\qquad \sf \: { \dashrightarrow \dfrac{ \cancel2}{ \cancel3}x \times \dfrac{{ \cancel3}}{ \cancel{2}} = \cancel{20} \times \dfrac{3}{ \cancel{2}} }[/tex]

[tex]\qquad \sf \: { \dashrightarrow x = 10 \times {3} }[/tex]

[tex]\qquad \bf \: { \dashrightarrow x = 30 }[/tex]

Therefore, The number is 30.


Related Questions

Geometry ….. solve for x and y

Answers

Answer:

y = 2.4

x = 30°

Step-by-step explanation:

5y = 12

[tex]\frac{5y}{5}[/tex]  = [tex]\frac{12}{5}[/tex]

Cancel both the 5 in numerator and denominator

y = [tex]\frac{12}{5}[/tex]

Divide 12 by 5

y = 2.4

All internal angles of a triangle must add up to 180°. So the angles of the bottom triangle is 60° each. As you can see, there's a right triangle on the right side and a right angle is 90°. So you just have to subtract 90° and 60° to get the angle of the missing angle which is 30°

x = 30°

i don't know how to explain it but i'm sure it's correct. Hope it helps

100 Points
Emily wants to buy turquoise stones on her trip to New Mexico to give to at least 4 of her friends. The gift shop sells small stones for $4 and large stones for $6, and Emily has no more than $30 to spend.
Write and graph a system of Linear Equations and write two possible solutions.

Answers

Answer:

Step-by-step explanation:

what is she going to buy? Small stones or big stones? if its small stones then she can buy 7 small stones. If its big stones then she can buy 5 big stones.

how do I do 2÷834



Fourth grade​

Answers

Answer:

I honestly don't know why you are on this if your in 4th grade because this is for middle, high, and college school kids.

The answer is anyways 417

Answer:

2 divided by 834 is 1/417 or 417

Step By Step Explanation:

Why is a fourth-grader even on a website for middle, high school, and college...

2(5-2)^2. what is the answer please explain no link.

Answers

18
First do 5-2
And the. You get to the

Given the points C (-7 , - 4) and (-1 , 5 ), find the coordinates of point E on directed line segment CD that partitions CD into the ratio 1 to 2.

Group of answer choices


(5, −1)


(1, −2)


(−5, −1)


(−10, 6)

Answers

The coordinates of point E on the given line CD is; Option C: (-5, -1)

We are given the points with coordinates;

C (-7 , - 4) and D(-1 , 5 )

Now, we are told that point E divides CD in the ratio 1:2.

Let coordinate of E be (x, y)

The formula to find (x, y) is;

x = (mx2 + nx1)/(m + n)

y = (my2 + ny1)/(m + n)

Where m:n is the ratio of the partition. Thus;

x = (1*-1 + 2*-7)/(1 + 2)

x = -15/3

x = -5

Similarly;

y = (1*5 + 2*-4)/(1 + 2)

y = -1

Read more at; https://brainly.com/question/17654479

Solve
-16+ 20

A. -36

B.-4

C. 4

D. 36

Answers

Answer:

C: 4

Step-by-step explanation:

We can rearrange the numbers:

[tex]-16+20=+20-16=20-16=4[/tex]

Answer:

C. 4

Step-by-step explanation:

-16+20 equals 4 becase:

-16 is under zero, and if we add 20 to that, it will take 16 of that 20 to fill up the negative part, and the rest part remaining will be 4. So that four will add up to be the positive number!

Thank You! Please Mark Me Brainliest!

Find the equation of the line passing through the point (-5,2) with slope 1/3. Show work.

Answers

Hello!

First, let's write our equation in point-slope form.

Point-Slope Form:

y-y1=m(x-x1)

y1= the y-coordinate of the point

m=the slope

x=the x-coordinate of the point

y-2=1/3(x-(-5)

y-2=1/3(x+5)

y-2=1/3x+5/3

y=1/3x+5/3+2

y=1/3x+3.7

Hope it helps.

~A smiley teen

#CarryOnLearning

[tex]MagicalNature[/tex] here to help

A campus survey states that 40% of students ride the bus if there are 300 students how many ride the bus?

Answers

Answer: 180 students

Step-by-step explanation:

It's 120
10%=30
30x4=120

PLZ HELP
What question should you ask yourself first when factoring polynomials?

A: Can I divide all terms by a GCF?

B: What is the exponent of the first term?

C: What is the degree of the polynomial?

D: Are there four terms?

Answers

C. Answer correct I think.

Answer:

The correct answer is A: Can I divide all terms by a GCF?

explanation:

I took the quiz

The two parallel sides of a trapezium are 19.8 and 7.2 cm. If the area of the trapezium is 135 sq cm find the distance between its parallel sides

Answers

Answer:

67.72

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

The area of a Trapezium is

(a+b)/2 * h where

a = top

b= bottom

h- height, distance between the two parallel sides (ie the top and bottom)

135 = (19.8+7.2)/2 *h

135=13.5h

h= 10

round to the nearest hundred 104,549 help 6th

grade​

Answers

Answer: 104,500

Explanation:
The 5 is the hundreds, so you would look at the number to the right, which is 4. The mid point of 549 would be 550. Anything greater than that number would be rounded to 600, but 449 is less than 550, therefore the number won’t be rounded up, leaving us with 500.

Solve the inequality.
2(x+4) < 2 - x

Answers

Answer:

x < -2

Step-by-step explanation:

2(x+4)<2-x

2x+8<2-x

+x        +x

3x+8<2

   -8  -8

3x<-6

x<-2    Divide both sides by 3

Hope this helps!

Answer:

2x+8<2-x

8-2<-x-2x

-3x>6

x>6/3

x<2

Step-by-step explanation:

I think it's smtg like this

help !! giving brainliest.

Answers

Answer:

i guess the 2nd one

.

.........

Which is the slope of the line that passes through the points (2,10) and (5,8)?

Answers

Answer:

Slope = (Y2 - Y1) / (X2 -X1)

Slope = (8 -10) / (5 -2)

Slope = -2 / 3

Slope : -2/3

————————

50 pencils cost £3. How much would 8 pencils
cost
What is the answer

Answers

50/3 = 8/x

X = 12/25 or 0.48

Answer:

0.48£

Step-by-step explanation:

(3x8)/50=0.48£

how many times can 2 go into 67




fourth grade help​

Answers

Answer:

Step-by-step explanation:

To answer this, divide 67 by 2, writing the answer as a mixed number:

67

---- = 33 1/2

 2

thus, 2 can go into 67 33 times, keeping in mind that there's a remainder (1/2).

Raju has to grow 26 cm more to reach 3 m height. What is Raju's height in metres​

Answers

Answer:

2.74 m

Step-by-step explanation:

3 m to cm is 300.

Then, 300 cm - 26 cm = 274 cm.

You asked "What is Raju's height in METRES"

So, 274 cm to m is 2.74.

Hope you understand ^^

Answer:

2.74 m

Step-by-step explanation:

Converting centimeter to meter: 26 cm = 0.26 m

3 - 0.26 = 2.74 m

Math is hard help me please

Answers

Answer:

the third answer

Step-by-step explanation:

because If two positive numbers are multiplied together or divided, the answer is positive. If two negative numbers are multiplied together or divided, the answer is positive. If a positive and a negative number are multiplied or divided, the answer is negative.

the first option 1/3^3

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may's dog weighed 16kg. the dog lost 800g after it fell ill.

Answers

Answer:

15200g

Step-by-step explanation:

Hope the Dog gets better XD

Answer: 15,200

Step-by-step explanation: First you have to convert kilograms to grams. You have to multiply kilograms by 1,000 to get grams. 16kg*1,000=16,000. Then do this 16,000-800=15,200

How do you know when to rewrite square trinomials and difference of squares binomials as separate factors?

Answers

Answer:

A trinomial is an expression that has three terms.

Square trinomial

A square trinomial is simply a perfect square trinomial.

Difference of square binomials

This is easily identified because, the terms of the square binomials are perfect squares.

When cubes are added or subtracted, they can be expressed using the following

Did I do 11,7 right ?

Answers

Answer:

Yes

Step-by-step explanation:

Solve for x. Round to the nearest tenth.

Answers

Answer:

24.8

Step-by-step explanation:

Evaluate the expression

Answers

Answer:

7/12 or 0.583333333333...

Step-by-step explanation:

calculator

I think the answer is 0.83, tell me is it correct ok, I try to help you

You have three towels. The first towel is ¾ meters long. It is ⅗ the length of the second towel. The length of the third towel is 5/12 of the sum of the length of the first and the length of the second. What part of the length of the third towel is the length of the second?

Answers

Answer:

Step-by-step explanation:

Part of length of the third towel is the length of the second towel

Solution:

Given that You have towels of 3 sizes

Length of the first towel =  meter

The length of one of them is equal to 3/4m, which makes up 3/5 of the length of the second.

Length of the first towel =

The length of the third towel makes up 5/12 of the lengths of the first 2.

To find: What part of the length of the third towel is the length of the second towel ?

Ratio of second to third towel length =

Thus 3/2 part of length of the third towel is the length of the second towel

Convert 101100 2 to decimal

Answers

Answer:

The answer is 101100

8/27 simplified as an exponent

Answers

Answer:

what is an exponent bro ;-;

2^3
/
3^3
Is this is what you meant

Simplify the following expression : 3a + 6b - 7(a - 3b) + 3​

Answers

Answer:

The answer is -4a + 26b +3

The circle below represents one whole . …. What percent is represented by the shaded area ?

Answers

Answer:

50%

Step-by-step explanation:

because the whole circle is 100% and half of it is shaded

so.... 50%

Find the lines of symmetry. Select all that apply. Thank you!

Answers

Lines r & t are the lines of symmetry here.

◇ The line r cuts the figure vertically into 2 equal halves.

◇ The line t cuts the figure horizontally into 2 equal halves.

◇ The lines q & s don't cut the figure symmetrically (2 unequal parts are formed), so they are not the lines of symmetry.

See the attachments too.

______

Hope it helps ⚜

is 15/6 less than 2 13/18

Answers

Answer:

no

Step-by-step explanation:

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