The sum of two numbers is 3000. If 8% of one number is equal to 12% of the other, find the numbers.​

Answers

Answer 1

one is 1800 and another is 1200

Step-by-step explanation:

let no's be A and B

so, A+B =3000

given, 8% = 8/100 = 2/25

12%= 12/100 = 3/25

As per question 8% of A is = 12% of B

so, (2/25)*A = (3/25)*B

now, multiply cross wise

then we get, (A/B) = 3:2

thus two numbers are in the ratio of 3:2

so, let A =3x, B=2x

cause sum of these is 3000 so, A+B =3000

3x+2x =3000

5x = 3000

x= 3000/5

.: x = 600

so, first no is 3x =3*600=1800

2nd no is 2x= 2*600= 1200

Hope this helps you


Related Questions

Meena has ₹600 in the form of notes of ₹10 and ₹20 denomination. Number of ₹10 notes is three times the number of ₹20 notes. Find the number of notes of each denomination.​

Answers

Answer:

Meena has twelve (12) ₹20 notes and thirty six (36) ₹10 notes

Step-by-step explanation:

The amount Meena has as notes in ₹10 and ₹20 denominations = ₹600

The number of ₹10 notes = 3 × The number of ₹20 notes

Let 'x' represent the number of ₹20 notes Meena has, we get;

The number of ₹10 notes = 3 × x

The total number of notes = x × 20 + 3·x × 10 = 50·x = ₹600

∴ 600/50 = 12

The number of the ₹20 notes, x = 12

The number of the ₹10 = 3 × x

∴ The number of the ₹10 = 3 × 12 = 36

What is the relationship between an angle of elevation and an angle of depression in a right triangle?

Answers

Answer: Angles of Elevation and Depression are used in measuring heights and distances in trigonometric applications using right triangles. These angles are made when we look up or down to view objects. Devices are available to measure angles of elevation and depression. These measured angles can be used in measuring heights and distance which are either tedious or impractical to measure, by modelling the situation into right triangles

Answer:

Angles of Elevation and Depression are used in measuring heights and distances in trigonometric applications using right triangles. These angles are made when we look up or down to view objects. Devices are available to measure angles of elevation and depression. These measured angles can be used in measuring heights and distance which are either tedious or impractical to measure, by modelling the situation into right triangles

Step-by-step explanation:

correct on EDGE2021

I NEED HELP WITH THIS ONE TOO !!

Answers

Answer:

40°

100 + 80 = 180

60 + 80 = 140

140+ 40 = 180

Step-by-step explanation:

Answer:

m<C+m<D=100 degrees   m<D=40 degrees

Step-by-step explanation:

find the x-intercept and y-intercept from the following linear equation: -7x+4y=56

Answers

Answer:

x-intercept = (-8,0)                         y-intercept = (0,14)

Step-by-step explanation:

-7x + 4y = 56

4y = 7x + 56

y = 7/4x + 14

y-intercept = 14

0 = 7/4x + 14

-7/4x = 14

x = -8

What is the surface area of this right circular cone?
radius=12
height=40

Answers

Answer:

2026.75 (units) squared

Step-by-step explanation:

SA of a cone = πr(r+h2+r2)

SA = π(12)(12+√(40^2)+(12^2))

SA = 12π(12+√1744)

Put in calculator and get 2026.75

El resultado de 3^2∙3^2 es:

Answers

Answer:

3^2 x 3^2 = 81

3^2 = 3 x 3 = 9

9 x 9 = 81

Answer:

[tex]3^{2} \times3^{2}[/tex]

[tex]3^{2+2}[/tex][tex]3^{4}[/tex][tex]3x^{4} =81[/tex]

[tex]Answer: 81[/tex]

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

hope it helps...

have a great day!!

3( + 4) + 8 = —3
solve

Answers

3x4 to 12
12+8
Answer 20

write twelve thousand twelve hundred and twelve in numbers ​

Answers

Answer:

12, 120,012

Step-by-step explanation:

I need help pls !!!!!!!

Answers

The answer is c because scales are usually 2x smaller

A circle has a circumference of 8, It has an arc of length start fraction, 32, divided by, 5, end fraction. What is the central angle of the arc, in degrees?

Answers

Answer:

The central angle of the arc is 288 degrees.

Step-by-step explanation:

The correct question is

A circle has a circumference of 8. It has an arc of length 32/5 . What is the central angle of the arc,in the degrees?

we know that The circumference of the circle subtend a central angle of 360 degrees

so using a proportion

Find out the central angle for an arc of length 32/5

Is (0,0) a solution of the graphed inequality?
Choose 1 answer:
Yes
No

Answers

Answer:

no..........................

3 questions only pls help gota finish tofday

Answers

5a) 3x3x13

b) 3x7x7

c)11x5x2x2

d)3x3x3x5x2

6a)2x2x2x131

7a)5x5x2x2

b) 3x2x17

c)5x2x2x2x2x2x2

d)5x5x5x3

e) 2x2x103

f)5x3x137

g) 2x2x2x2x2x2x2x2x2

h)5x5x7x7x3

Can someone help me with this

Answers

Answer:

use system of equations

Step-by-step explanation:

Set one up for the Smith family and one for the Jones family

A heel travels 850 miles in 28 gallons of gas. How many miles does it travel in one gallon of gas

Answers

Answer:

850/28=30 miles a gallon

Step-by-step explanation:

mark as brainlist

PLEASE HELP ITS EASY BUT LIKE yh

Answers

Answer:

40  I told u

Step-by-step explanation:

right angles are 90 degrees

Answer :

x +25 +25 =90 degrees

x +50 =90 degrees

x = 90 -50

x = 40 degrees

URGENTTTTTTTT!! HELP QUICK PLZZZZZZZZz

Answers

Answer:  72%

Explanation:

The phrasing "given that he or she is a graduate" means we focus on the middle row only. We ignore everything else.

We see that A = 1879 graduates receive financial aid out of B = 2610 graduates total.

This means the probability we want is therefore A/B = 1879/2610 = 0.7199 approximately. This converts to 71.99% and that rounds to 72%

AB is tangent to circle C. Find the value of r. Please answer Asap

Answers

Answer:

3

Step-by-step explanation:

a tangent to a circle makes right angle with the radius at that point ( here the point is B)

thus,

ABC is a right angled triangle

AC being the hypotenuse AB being the adjacentBC being the opposite

By Pythagoras theorem :-

By Pythagoras theorem :-AC² = AB² + BC²

(r + 2)² = 4² + r²

r² + 4 + 4r = 16 + r²

subtracting r² from both sides and taking 4 common

4(1 + r) = 16

diving both sides by 4

1 + r = 4

r = 3 units

The value of r is,

⇒ r = 3 units

What is Pythagoras theorem?

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

Given that;

AB is tangent to circle C.

Now,

By Pythagoras theorem, we get:-

AC² = AB² + BC²

(r + 2)² = 4² + r²

r² + 4 + 4r = 16 + r²

subtracting r² from both sides and taking 4 common

4(1 + r) = 16

diving both sides by 4

1 + r = 4

r = 3 units

Thus, The value of r is,

⇒ r = 3 units

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If a Polyhedron had 58 edges and the same Number of faces as its Vertices , How many faces does it have?

Answers

Answer: 30

Step-by-step explanation:

Given

Polyhedron has (E)58 edges

It has same number of faces and vertices

Using Euler's formula

[tex]\Rightarrow V-E+F=2[/tex]

where

V=no of vertices

E=no of edges

F=no of edges

Suppose there are x faces

Insert the values

[tex]\Rightarrow x-58+x=2\\\Rightarrow 2x=60\\\Rightarrow x=30[/tex]

Thus, polyhedron has 30 faces.

Answer:

30

Step-by-step explanation:

proportional linear relationships can be represented in how many different forms

Answers

Linear relationships can be represented in several different ways: a graph, an equation, or a list of points. ... We can then graph the line to find the y-intercept, and use the slope and y-intercept to write an equation of the line.

Proportional Linear Relationships can be expressed in the following ways:

a graphan equation, or a list of points.

What is a proportional linear relationship?

From a graphical point of view, a relationship is proportional and linear if the line representing the equation goes via the origin. It is to be noted that a relationship must be linear for it to be proportional and vice versa.

Thus, it is correct to state that Proportional Linear Relationships can be expressed in the following ways:

a graphan equation, or a list of points.

An example of an equation that is proportional and linear is:
y = 6x + 8. Note that this linear equation is proportional because it has a constant component.

Learn more about the proportional linear relationships at;
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3. Find the equations of the lines that form the sides to the polygon shown below. What type of polygon is it? Explain your reasoning.

Answers

Answer: The question is not complete. the figure is attached below.

The polygon is a rectangle.

Step-by-step explanation:

Line 1 goes through (-2, 3)

hence the slope of line 1 = -3/2

Line 2 goes through (0, 3) (2, 0)

hence the slope of line 2 = -3/2

Line 3 goes through (0, 1) (-3, 1)

hence the slope of line 3 = 2/3

Line 4 goes through (3, 0) (0, -2)

Hence the slope of line 4 = 2/3

therefore -3/2 * 2/3 = -1

Line1 + Line3      Line1 + Line4       Line2 + Line3        Line2+Line4

because, the distance between Line1 and Line2 is not equal to that Line3 and Line4.

The polygon is a rectangle polygon.

Translate this sentence into an equation. 144 is the product of Diego's age and 9.

Answers

Step-by-step explanation:

Represent Diego's age by d. Then 9d=144.

What is the equation of the line written in general form? I need the answer ASAP

Answers

Answer:

The answer is 3x-y-2=0

Step-by-step explanation:

Answer:

2nd option

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 the slope using the slope formula

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

with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (2, 4) ← 2 points on the line

m = [tex]\frac{4-1}{2-1}[/tex] = 3

The line crosses the y- axis at (0, - 2 ) ⇒ c = - 2

y = 3x - 2 ← in slope- intercept form

subtract y from both sides

0 = 3x - y - 2 , that is

3x - y - 2 = 0 ← in general form

3/x + 4/5 = 11/10
For what value of x is the equation above true?
A) 3
B) 5
C) 7
D) 10

Answers

Answer:

The answer is

[tex] \frac{3}{x} = \frac{11}{10} - \frac{4}{5} \\ \frac{3}{x} = \frac{55 - 40}{50} \\ \frac{3}{x} = \frac{15}{50} \\ \frac{3}{x} = \frac{3}{10} \\ x = 10[/tex]

the answer to the question above is D)10

WILL MARK BRAINLIEST

Please help solve problems with common tangents.

Thank you.

Answers

Answer:

sorry I don't know but can u PLEASE MARK ME AS BRAINLIEST.

Step-by-step explanation:

.......

Answer:  12

===========================================================

Explanation:

Let's start with what the hint gives us. So the first sub-goal is to prove triangle ABE is similar to triangle DCE.

Since points A and D are points of tangency, this means the radii of each of those circles is perpendicular to the common internal tangent. So angles EAB and EDC are 90 degrees each.

Due to the vertical angle theorem, we also know that angles AEB and DEC are the same (we don't know the measure but we know they're equal angles).

So we have two pairs of congruent corresponding angles between the triangles, which is sufficient to let us use the AA (angle angle) similarity theorem. Therefore, the triangles have been proven to be similar. Triangle DCE is a reduced scaled down copy of triangle ABE. Or in reverse, triangle ABE is an enlarged copy of triangle DCE.

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

Since the triangles are similar, we can form the proportion below and solve for x

AB/AE = DC/DE

x/18 = 4/6

x*6 = 18*4 .... cross multiplication

6x = 72

x = 72/6

x = 12

Therefore, segment AB is 12 units long, and this is the radius of circle B.

A toy is in the form of a cone mounted on a hemisphere of common base radius 7cm. The total height of the toy is 31cm. What's the total surface area of the toy?
1  465
2  769
3  835
4  912​

Answers

[tex]\huge\tt\pink{Answer}[/tex]

A≈852.83cm²

Radius

7cm

Height

31cm

how do i answer this?​

Answers

Step-by-step explanation:

here is the answer. Hope that helps.

A jewellery shop is having a sale. A bracelet is now reduced to £420. This is 70% of the original price. Work out the original price of the bracelet.

Answers

Answer:

Step-by-step explanation:

x is the original price.

420/x = 70% = 0.7

x = 420/0.7 = 600

Original price of bracelet was £600

What is domain and range of the following graph? 10 points!!!

Answers

Answer:

domain R

range is ] - infinity, -4]

to assure u :)

If you are camping in a rural setting and look up at the night sky, it can appear as if ________.

Answers

Answer:

If you are camping in a rural setting and look up at the night sky, it can appear

If you are camping in a rural setting and look up at the night sky, it can appear as if there are many more stars visible compared to what you would see in a city or suburban area.

We have,

There is less light pollution in rural areas, allowing for a clearer view of the stars.

Here are some reasons why the night sky can appear different when camping in a rural setting:

Less light pollution:

Clearer atmosphere:

Different orientation:

Altitude:

Relaxation and focus:

Thus,

If you are camping in a rural setting and look up at the night sky, it can appear as if there are many more stars visible compared to what you would see in a city or suburban area.

Learn more about the night sky here:

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Problem: Construct a triangle with interior angle measures of 60° and 60°. Let one of the side lengths be 10. What are the lengths of the other sides?

Answers

Answer:

The lengths of the other sides would be 10, as well.

Step-by-step explanation:

Since we already know two of the three angles, we can subtract to find the other angle. The interior angles of a triangle will always add up to 180°. We have 60° and 60°, giving us 120°. 180 - 120 is equal to 60°, so that's the missing angle. Because all of the angles are the same, this is an equilateral triangle, which means the sides also have to be the same length. If one of the sides is 10, all of the sides are 10.

The triangle with sides 10 , 10 and 10 and all angles at 60° is an equilateral triangle

What is an Equilateral Triangle?

An equilateral triangle is a triangle in which all three sides have the same length.

Let the triangle be ΔABC , and

∠A = ∠B = ∠C = 60° and AB = BC = CA

Given data ,

Let the triangle be represented as ΔABC

Let the side length of the triangle be AB = 10

Now , the measure of ∠ABC = 60°

And , the measure of ∠BAC = 60°

So , the total sum of all the angles in a triangle = 180°

And , the measure of ∠ACB = 180° - ( 60° + 60° ) = 60°

Therefore , all the angles of the triangle are 60°

So , it is an equilateral triangle

And , the measure of side lengths of the triangle is 10

Therefore , AB = BC = CA = 10

Hence , it is an equilateral triangle

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Other Questions
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