Find two numbers such that their sum, their difference, and their product have the ratio 3:2:5.​

Answers

Answer 1

Answer:

2 and 10

Step-by-step explanation:

We will assume to numbers represented by x and y.

From the question, we can write the following :

sum = x + y

difference = x - y

product = xy or x*y

Since we have two unknowns, general rule of thumb is that we require

2 equations to solve for them.

Using the ratio, of  sum:  difference and sum : product,

I can form these 2 equations:

(x + y) / (x -y) = 3/2  (1)

(x + y) / (x*y) = 3/5 (2)

In (1),

we cross multiply and do some tidying we will get

x = 5y

In (2),

we have 5x + 5y = 3x*y

We can then substitute x = 5y into (2) and get the following

5*5y + 5y = 3*5y*y

30y = 15y^2

2y = y^2

y^2 - 2y = 0

After factorization,

y(y - 2) = 0

you will have to options either use y = 0 or y = 2

If we use 2, then using equation (1),

we can solve for x which is 10.

Answer 2

Answer:

2 , 10

Step-by-step explanation:

(x+y) / (x-y) = 3/2   ..(1)

3x-3y = 2x+2y

x = 5y

(x+y) / xy = 3/5

(5y+y) / (5y*y) = 3/5

6y/5y² = 3/5

15y² = 30y

y = 2

x = 10

check: (2+10) : (10-2) : (10*2) = 12 : 8 : 20 = 3 : 2 : 5


Related Questions

Triangle XYZ has vertices X(1, –1), Y(3, 4), and Z(5, –1). Nikko rotated the triangle 90° counterclockwise about the origin. What is the correct set of image points for triangle X’Y’Z’?

X’(1, 1), Y’(-4, 3), Z’(1, 5)
X’(1, 1), Y’(–3, –4), Z’(–1, –5)
X’(–1, 1), Y’(–3, –4), Z’(–5, 1)
X’(–1, –1),Y’(4, –3), Z’(–1, –5)

Answers

Answer:

When a figure is rotated counterclockwise about the origin, its original coordinates of point P (x,y) will now be positioned as P' (-y,x).

X (1,-1) --> X' (1,1)

Y (3,4) --> Y' (-4,3)

Z (5,-1) --> Z' (1,5)

The correct set of image points for triangle X'Y'Z' is X'(1,1), Y'(-4,3), and Z'(1,5).

Step-by-step explanation:

Triangle XYZ is rotated 90° counterclockwise, the new coordinate is X'(1, 1), Y'(-4, 4) and Z'(1, -5)

Transformation

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.

If a point A(x, y) is rotated 90° counterclockwise the new point is A'(-y, x).

Triangle XYZ is rotated 90° counterclockwise, the new coordinate is X'(1, 1), Y'(-4, 4) and Z'(1, -5)

Find out more on Transformation at: https://brainly.com/question/26092237

x over 8 = 10?
i just need to solve for x

Answers

X =80 you just have to multiply 8x10

A class of fourth graders decides to split into groups based on the first letter of their last names.then,they choose students from each group.what type of sampling is used?

A.Quota sampling

B.Volunteer sampling

C.Purposive sampling

D.Convenience sampling

Answers

Answer:

Volunteers sampling is correct answer

I don’t know what to do

Answers

Answer:

i think it would be the first one i am not 100% sure just a gues

Step-by-step explanation:

What number would make this problem many solutions?

Infinity many solutions :
10x+ ___ =2(5x+7)

2
5
7
14
17
20

Answers

Answer:

14

.........................

Answer:

14

Step-by-step explanation:

Distribute the right hand side of the equation to get 10x +14. To have infinitely many solutions, the left hand side would be the same so the answer is 14.

can somebody help me with math I have 3 more questions OWO:

If Jeff drives 200 miles per hour in his race car, and this relationship is graphed, which ordered pair would not be on the graph?

1. (2, 400)
2. (0, 0)
3. (8, 1,600)
4. (5, 1,200)

please don’t steal all my points UwU :( :’)

Answers

4. If he had driven for 5 hours the X coordinate would be 1000.

The ordered pair would not be on the graph is (5, 1200)

The correct option is (4).

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

If Jeff drives 200 miles per hour in his race car.

So, if we denote the distance by y and time by x then relation is

y = 200x

For x = 0

y=0

and, x= 2

y= 400

and, x= 8

y= 1600

and, x= 5

y = 1000

Hence, the point not on the graph is (5, 1200)

Learn more about Equation here:

https://brainly.com/question/29657983

#SPJ2

A catering company charges a flat fee of 120$ to cater an event...

Answers

The set of numbers greater than 20

help someone plz I'll give brainlest​

Answers

Answer:

like with the whole page?? cause if so i got this KINDA

Step-by-step explanation:

the first one (2/9+2/9) = 4/9

the second one (1/4+2/4)=3/4

the third one (3/8+5/8)=1 whole or 8/8

i cant see the last one so ill skip to the bottom row

the first one (2/5-1/5)=1/5

(9/12-4/12)=5/12

(4/10-2/10)= 2/10

and ill give someone else a shot with the rest of the questions but yw

this is pretty simple but hit me up if you ever need more help

=D

Answer:

Section 1

Adding and Subtracting- just add/subtract (depending on what the question is asking you) the numerators (top number), don't do anything to the denominators (bottom numbers)

Step-by-step explanation:

Section 1

Adding and Subtracting- just add/subtract (depending on what the question is asking you) the numerators (top number), don't do anything to the denominators (bottom numbers)

Section 2

Make the denominators (bottom numbers) the same, then add or subtract the numerators. To make the denominators same, apply a common factor to the bottom number.

Section 3

Multiply the top numbers and bottom numbers to get the answer.

Section 4

Use KCF: Keep, Change and Flip. Keep the first fraction the same, then change the division sign to a multiplication and finally flip the last fraction, then multiply the two fractions.

1. The diameter of a circle is 8. what is the radius?

Answers

Answer:

Radius = 4

Step-by-step explanation:

r = d/2

r = 8/2

r = 4

Answer:

4

Step-by-step explanation:

The diameter of a circle is the length of a straight line from two opposite points on the circle. The radius is the length of a straight line from the middle to a point on the circle. This means that the diameter must be double the radius. So to find the radius, divide the diameter by 2. Since 8/2=4, the radius is 4.

Does anyone know the answer to this?

Answers

Try photo math
It help u

help please i’ll give extra points

Answers

Answer:

P would be reflected into quadrant 4.

Step-by-step explanation:

Answer:

Quadrant 4

Step-by-step explanation:

The quadrant under P is quadrant 4. Imagine putting a mirror on the x-axis, where would P be? It would be on the fourth quadrant, the quadrant underneath P.

Have a nice day!

4. Jean and Mark are going to fill a pool with 2 different sized hoses. Jean can fill the pool in 4 hours, while Mark can complete it in 6 hours. Their supervisor thinks that the job will take 5 hours to
complete if they work together. Explain each step in solving this equation, and determine if the supervisor is correct or not.

Answers

Answer:

2.4 hours.

Step-by-step explanation:

Remark

The supervisor is not quite correct. The correct answer must be lower than the lowest number, otherwise you are taking out what the person with the narrower hose must be taking out what the other person is putting in.

Equation

Let x = the amount of time needed for him to fill the pool

Let y = the amount of time needed for the second person to fill the pool

Let z = the amount of time needed for both to fill the pool.

1/x + 1/ y = 1/z

1/4 + 1/6 = 1/z         The common denominator is 12

3/12 + 2/12 = 1/z

5/12 = 1/z                Cross multiply

5z = 12 * 1               Divide by 5

z = 12/5

z = 2 2/5

z = 2.4 hours

A triangle has side lengths of 11 cm and 6 cm. Which could be the value of the third side, 21 cm or 14 cm? Is it 14 or 21?

Answers

Answer:

14

Step-by-step explanation:

As long as two sides of a triangle added together are larger than the third side, it is an accurate triangle!

Is the ratios 2.5 : 8 and 7.5 : 24 are they equivalent?

Answers

Answer:

Yes, they are equivalent.

Step-by-step explanation:

To get from 2.5 : 8 to 7.5 : 24, you have to multiply by both sides by 3.

So they are equivalent.

If two angles are vertical, the sum of their measures is equal to the measure of a right angle true or false?

Answers

Step-by-step explanation:

False,

Vertical angles isn't always complementary l

Answer:

true

Step-by-step explanation:

If two angles are congruent, their measures are equal.

5 + (1/7)b = -2
what is b?

Answers

Answer: b=-1

Step-by-step explanation:

[tex]5+\frac{1}{7}b=-2\\\\5+\frac{1}{7}b=-2\\\\\frac{1}{7}b=-7\\\\b=-1[/tex]

A student answered 43 questions correctly in a 53 questions test. What
percent is that?
Round your answer to the nearest whole.
%

Answers

Answer: 81%

Step-by-step explanation: I think i'm right

Each of the following hypothetical data sets represents some repeated weighings of a standard weight that is known to have a mass of 100 g. Assume that the readings are a random sample from a population that follows the normal curve. Perform a t test to see whether the scale is properly calibrated, if possible. If impossible, explain why.
a. 100.02.99.98,100.03
b. 100.01

Answers

Answer:

b

Step-by-step explanation:

A rectangular poster has an area of 38 square feet. It is 4 3/4 feet wide at its base. What is the height of the poster

Answers

Answer: The height is 8

Step-by-step explanation:

4.75 x 8 = 32

nine divided by n plus two

Answers

Answer:

whats n?

Step-by-step explanation:

im guessing 9/1=9+2=11 idek bc u didnt give n

1. Quadrilateral ABCD has AB = x+3 and CD= 5x –7. What is the length of x
for which the quadrilateral is a parallelogram?​

Answers

Answer:

x = 2.5

Step-by-step explanation:

since it's a parallelogram, AB = CD so:

x + 3 = 5x - 7

subtract x from each side of the equation:

3 = 4x - 7

add 7 to each side:

4x = 10

divide both sides by 4:

x = 2.5

what is 2/5 x 5/6
i need the answer in 3 minutes

Answers

1/3

...............

.

...........

Answer:

1/3

Step-by-step explanation:

daniel has x coins, paula has 2 time as many coins as Daniel​

Answers

Answer:

Paula = 2x coins

Step-by-step explanation: We don't know how many x is, but we know that whatever x is, Paula is going to have double that number of coins. Turn this explanation into an equation... 2x...

A bag contains: • 2 white marbles • 3 brown marbles • 4 purple marbles • 6 orange marbles A marble will be drawn from the bag and replaced 75 times. What is a reasonable prediction for the number of times a brown or purple marble will be drawn?

Answers

Answer:

45

Step-by-step explanation:

There are 14 total marbles. The probability of drawing a yellow marble on the first draw is 3/14. Given replacement, the probability on the second draw is the same as on the first draw, so the probability of  black marble on the second draw is 6/14. The probability of drawing first a yellow marble then a black marble is 3/14 * 6/14 = 18/196.

Answer:

35

Step-by-step explanation:

sorry, i dont have an explanation for this i just guessed and it was right, here u go :)

HELP PLEASE DUE IN 4 MINUTES

Answers

Step-by-step explanation:

it’s the first one :)

help me plz branniest to whoever is right

Answers

Answer:

x= -7, x=8

Step-by-step explanation:

factoring method..

f (x) = - x² + 12x - 20

= - x² + 10x + 2x - 20

= - x( x - 10 ) + 2( x - 10 )

= ( x - 10 ) ( -x + 2 )

=> x = 10, x = 2

WILL MARK BRAINLIST JUST HELP ME
What is the volume of the triangular prism?
A) 15 cm3
B) 18 cm3
C) 21 cm3
D) 24 cm3

Answers

Answer:

A

Step-by-step explanation:

The costs of a pack of noodles, a can of soda and a pack of bread buns are 120 Pesos, 45 Pesos, and 50 Pesos respectively. Brayden wants to buy x packs of noodles, y cans of soda, and z packs of bread buns.​

Answers

120x+45y+50z=C
This equation models this situation where C is the total cost

HELPPPPPPPPP MATH PLEASE

Answers

Answer: 14

Step-by-step explanation:

Answer:

12 units^2

Step-by-step explanation:

The triangle on the left has an area of 2, the square has an area of 4 and the triangle on the right has an area of 6.

Add these up to get 2+4+6 = 12

What is the probability that a data value in a normal distribution is between a
z-score of -0.37 and a z-score of 1.22? Round your answer to the nearest
tenth of a percent.

A. 54.3%
B. 52.3%
C. 51.3%
D. 53.3%

Answers

Answer:

53.3%

Step-by-step explanation:

It's the correct answer that's why

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