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

What is the correct answer I’m offering brainalist + 10 points don’t just say A please can you explain to me why you chose what you chose

Answers

Answer:

Answer is Complementary.

Step-by-step explanation:

This is because complementary angles add up to 90 degrees. In this example, the angles are exactly 45 degrees. Therefore, because there are two angles 45 * 2 is 90. Answer is B.

Answer:

D. vertical

Step-by-step explanation:

We can rule out A and B because they wont equal 180 or 90 they will be somewhere in between. We can rule out C because those are acute angles. So we are left with D. These angles are vertical because they are opposite angles made by two intersecting lines and they have equal values.

NOMBRE RELATIFS,NOMBRES POSITIFS ET NEGATIFS:DESSINER UN THERMOMETRE GRADUE ET PLACER LES VILLES SUR LEUR TEMPERATURE

Answers

Answer:

C'est une personne anglaise traduite en français, je ne peux rien dessiner, je n'ai pas d'outil de dessin, désolé mec

Step-by-step explanation:

Please help me solve this step by step please :(

Answers

Answer:

B) 60.21 ft²

Step-by-step explanation:

Area of a triangle = 1/2bh

You can‘t used mixed measurements (feet and inches), so you have to convert each length to inches

8’6”=102’

14’2”=170’

Now find the area

1/2 x 102 x 170 = 8670 in²

This is one of the answers, but the quetion asks how many quart feet you need.

So, convert it back to feet.

8670 x 0.06944444444 = 60.2083333

(You could also have converted the two lengths to feet. 8’6” = 8.5 ft.  14’2” = 14.16666666.  This way would probably have been faster.

1/2 x 8.5 x 14.166666 = 60.20833333)

1
-
2 x(x-2x+4
Ayuda

Answers

Answer:

Simplified - 2x(-x+4), Solution - -2x(-x+4)

How much force is needed to stop a 1,400 kg truck pulling up to a stop light if
the truck took 4 seconds to stop and was moving at 36 m/s? If you know the answer please include the equation, it would really help me out, thank you! This is not math is is science btw.

Answers

Hi there!

[tex]\large\boxed{-12,600 N}[/tex]

Recall that the equation to calculate force is:

F = m · a where m = mass, a = acceleration, and F = net force.

Since we are given the velocity, and time needed to stop, we can calculate the acceleration using the following kinematic equation:

vf = vi + at

The initial velocity is 36 m/s and the final velocity is 0 m/s, therefore:

0 = 36 + at

Move 36 to the other side and plug in the given time:

-36 = 4a

Divide both sides by -4 to find a:

-36/4 = a

a = -9 m/s².

Since the acceleration is -9 m/s² and the mass is 1400 kg, use the above force equation to solve:

F = -9 × 1400 = -12600 N. (negative refers to the force working in the opposite direction of the car's travel. If simply needing the magnitude of the force, it would be 12600 N)


LOTS OF POINTS IF U ANSWER

A 30-ounce jar of peanut butter costs $6.00. A 40-
ounce jar costs $7.20. Which jar of peanut butter is
cheaper per ounce? Be sure to justify your reasoning
and SHOW your WORK.

Answers

Answer:

The 40 ounce jar is cheaper

Step-by-step explanation:

how i did this was divide 6.00 by 30 to get 0.2 cents per ounce then 7.20 divided by 40 to get 0.18 cents per ounce so the 40 ounce jar would be cheaper, hope this helps.

The 40 ounce jar is cheaper

MATH 20 POINTS HELP PLZ :)

Answers

Answer:

the answer is C.

Step-by-step explanation:

(11+x)/2-(9x-3)/4 x=3

Answers

Answer:

(11+X)/2-(9x-3)/4 x=3

subsititute 3 into all x

(11+3)/2-(9*3)-3)/4

first solve the first diviision

2-(9 times 3)-3/4

=2-(27-3)/4

=2-(24)/4

since the "2-" is there, you have to subtract it from 24 before you dividewhich would then be

22/4=5.5(in decimal form)

DON'T forget you have another bracket waiting for you since you were given 3 brackets. bring the first bracket down

2-(9x-3)/4 was solved and we got 5.5, so basically we are "substituting 5.5 into that part of the question)

11+x/5.5

11+3/5.5

14/5.5

=2.54 which is your final answer

Sorry if I went overboard lol.

Step-by-step explanation:

yes, the answer is 2.54 I believe.

Simplify this fraction: 36/168 show work pls

Answers

Answer:

0.214285714

Step-by-step explanation:

when you divide the numbers, you get 0.214285714.

36/168 = 0.214285714

Answer:

3/14

Step-by-step explanation:

first starting from 36/168, you can divide both by 3, which would be 12/56. then you can divide both numbers by 4, which would become 3/14, which is the in the most simplified form.

A carpenter is putting a skylight in a roof. If the roof measures 10 + 8 by 8 + 6 and the skylight measures + 5 by 3 + 4, what is the area of the remaining roof after the skylight is built?
a. 77^2 + 115 + 68
b. 77^2 + 105 + 28
c. 83^2 + 115 + 68
d. 77^2 − 105 + 28

Answers

Yea what the other girl said

thirty percent of all seventh graders own a bracelet. explain whether the sample closely estimates the percentage of seventh graders who own a bracelet.

30 seventh graders, 3 own a bracelet

Answers

it doesn’t. if there were 30 7th graders and 30% owned a bracelet that would mean 9 own a bracelet.

The sample of 3 seventh graders who own a bracelet out of 30 seventh graders does not closely estimate the thirty percent of all seventh graders owning bracelets.

What is a percentage?

Percentages are fractions where the denominator is 100.

We have,

Number of seven grade students = 30

Number of students who own a bracelet = 3

The percentage of seven grade student who owns a bracelet:

= (3 / 30) x 100

= (1/10) x 100

= 10 %

This means that 10% of seven grade student owns a bracelet.

Thus, the sample does not closely estimate the percentage of seventh graders who owns bracelets.

Learn more about percentages here:

https://brainly.com/question/17151247

#SPJ2

Jeremy users 18 inches of twine for each box he packs for shipping. how many yards of twine does he need to wrap 5 boxes?

Answers

Answer:

2.5 yards of twine

Step-by-step explanation:

1 box = 18 inches

5 boxes = 18 x 5 = 90 inches

90 inches = 2.5 yards

plot two points that are seven units from point c and also share the same y coordinates as point c

ANSWER IT QUICK PLEASE.

DUE AT 3:00PM​

Answers

Answer: 8 , -4 I think

Step-by-step explanation:

Answer:

The real answer is (8, -4) and (-6, -4)

PLS HELP!! :))

Find the surface area of a sphere with a diameter of 8 ft. Round your answer to the
nearest tenth.

Answers

The formula is A= 4(pi)r*squared* 201.06

Here's a challenge.... solve for this ​

Answers

I'm very bad in geometry. Sorry mom I failed geometry .

simplify it the following:
X u ( X n Y )​

Answers

Answer:

X^2unY

Step-by-step explanation:

Xu(XnY)

= X^2unY

sorry if the process and answer is wrong.

I don't understand how to solve Sequence dots? Can you show me step by step how to solve the first one A?

Answers

Answer how but just put it on brainly

Step-by-step explanation:

it tells you the answer

If the manager sold 15 corn dogs, how would this quantity be represented in her table?

Answers

Answer:

Not enough information.

Step-by-step explanation:

What kind of table do you want.

Answer:

I had the same question, it would be -15 because in the video on the assignment it says the answers are the opposite.

Step-by-step explanation:

There are 12 pieces of candy in a bowl. 6 are mints, 4 are Butterscotch, and 2 are Cinnamon.

What is the probability of Mr. Binder pulling
Butterscotch from the bowl, putting it back, and
then choosing mint? P(Butterscotch, then mint)

Answers

Answer:

1/6

Step-by-step explanation:

total = 12

number of butterscotch = 4

number of mint = 6

Since he replaces the mint, these events are independent events.

p(butterscotch, then mint) = p(butterscotch) * p(mint)

p(event) = (number of desired outcomes)/(total number of outcomes)

p(butterscotch) = 4/12 = 1/3

p(mint) = 6/12 = 1/2

p(butterscotch, then mint) = p(butterscotch) * p(mint)

p(butterscotch, then mint) = 1/3 * 1/2

p(butterscotch, then mint) = 1/6

Answer: 1/6

Tarzan is making his mom a card for her birthday. He drew a model of the card before he created it. The model is shown below.

The front of the card is shown. If Tarzan covers the whole front side of the actual card with decorative paper, how much paper would he need? you may use exact answers or round to the nearest hundredth.

Answers

Answer:

The area of a triangle uses the equation:

A = ab/2

a = 12

b = 9

A = 12 * 9 / 2

A = 54 inches

54 / 3 = 18

He needs 18 feet of paper

Tarzan need 18 feet of paper to make his mom a birthday card

PLZ HELP ME ON THE QUESTION!!

If 4(x - 2) − 2(x + 5) = 8, what is the value of x?

Answers

Answer:

x=13

Step-by-step explanation:

Answer:

x = 13

Step-by-step explanation:

13 - 2  = 11 x 4 = 44

13 + 5 = 18 x 2 = 36

44 - 36 = 8

I hope this helps you! :D

HELP !!

Find x. Round to the nearest tenth.
27
26.2

Answers

Answer:

x= 14.0 (nearest tenth)

Step-by-step explanation:

Please see the attached picture for the full solution.

A total of 12 runners complete in a race. The first three runners to cross the finish line will win medals. and how many different arrangements can the three medals be awarded?
A. 1,320
B. 79,833,600
C. 1,728
D. 220​

Answers

Don’t click linkkkkkkkkkk

Can someone please help me? I am trying to help my son. Here is the problem:
Catherine is hanging a string of lights 40 feet long around the three sides(two on the width and one on the length) of her rectangle patio, which is adjacent to her house. The length of her patio, the side of the house, is eight feet shorter than six times the width. Find the length and the width of the patio.


Thanks everyone!!

Answers

Answer:

Step-by-step explanation:

x = width

6x - 8 = length

2x + 6x - 8 = 40

8x = 48

width = 6 feet

length = 28 feet

Hello, Can you please answer this.​

Answers

Answer:

Hey!

V = 1906.624 cm^3

SA= 922.56 cm^2

Step-by-step explanation:

The surface area of a cube = 6a2 where a is the length of the side of each edge of the cube. Put another way, since all sides of a cube are equal, a is just the lenght of one side of a cube.

Volume of a cube = side times side times side.

Which condition would prove ΔDEF ∼ ΔJKL?

Answers

Step-by-step explanation:

DE : JK

= 21 : 7

= 1 : 3

#CMIIW

The condition that proves congruent of two given triangles ΔDEF ∼ ΔJKL would be option A; DE : JK.

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

we have given proof two triangles congruent by the postulate of SSS.

Since two corresponding sides of these triangles are congruent so additional third side should also be congruent to prove both the triangles congruent.

AC ≅ DF will complete the SSS property to prove both the triangles are congruent.

DE : JK

= 21 : 7

= 3 : 1

Learn more about triangle here:

https://brainly.com/question/342881

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Quadrilateral ABCD is a parallelogram with < BCA= 50 , < DCA=60, find value of

Answers

Answer:

[tex]ADC = 70[/tex]

Step-by-step explanation:

Given

[tex]BCA = 50[/tex]

[tex]DCA = 60[/tex]

See attachment for parallelogram and complete question

Required

Find ADC

From the attachment:

[tex]BCD = BCA + DCA[/tex]

[tex]BCD = 50+60[/tex]

[tex]BCD = 110[/tex]

Adjacent angles add up to 180.

So:

[tex]ADC + BCD = 180[/tex]

[tex]ADC = 180-BCD[/tex]

[tex]ADC = 180-110[/tex]

[tex]ADC = 70[/tex]

Ellie worked 6 hours on Monday, 4.5 hours on Tuesday, 4 hours on Wednesday, 5.75 hours on Thursday, and 3 hours on Friday. If she is paid $10.18 per hour. Find her gross earnings for the week.

Answers

Answer:

⚠️DO NOT RELY ON ME⚠️ But, just by doing It in my head i think it's 236.685, but I don't really know just my thought process and mental math

does 7/10 x 80 represent 70% of 80

Answers

Answer:

yes

Step-by-step explanation:

I say yes I did the math for it

Parallelogram ABCD is shown on the coordinate grid. Which

coordinates belong to a point that appears to lie on segment AB?

Answers

Answer:

[tex](-1, 3)[/tex]

Step-by-step explanation:

Given

See attachment for ABCD

Options:

[tex](-1, 3)\ \ \ (0,3)\ \ \ (1,5)\ \ \ (2,5)[/tex]

From the attachment:

[tex]A = (-6,1)[/tex]

[tex]B = (4,5)[/tex]

Required

Coordinates on AB

First, calculate the slope of AB

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{5-1}{4--6}[/tex]

[tex]m = \frac{4}{10}[/tex]

[tex]m = 0.4[/tex]

Next,, calculate the equation as:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = 0.4(x - -6) + 1[/tex]

[tex]y = 0.4(x +6) + 1[/tex]

[tex]y = 0.4x +2.4 + 1[/tex]

[tex]y = 0.4x +3.4[/tex]

Taking the options one at a time: (-1, 3)

[tex]x = -1\ \ y =3[/tex]

Test these values in the equation

[tex]y = 0.4 * -1 + 3.4[/tex]

[tex]y = -0.4 + 3.4[/tex]

[tex]y =3[/tex]

Hence, this point lie on AB

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