The sum of two numbers is twice their difference. the larger number is 2 more than twice the smaller. find the numbers. smaller number 1 larger number 3

Answers

Answer 1

x+y=2(x-y)
x+y=2x-2y
3y=x
x-2y=2
then,substitute
(3y)-2y=2
y=2
so,x=3(2)
x=6
x the largest
y the smallest

Answer 2

The smaller number is 1 and the larger number is 3.

What is a linear equation?

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

Let the numbers be x and y.

The sum of two numbers is twice their difference.

(x + y) = 2(x -y)

The larger number is 2 more than twice the smaller.

That means,

y = x + 2.

Then,

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

2x + 2 = 4

x = 1

And y = 3

Therefore, the numbers are 1 and 3.

To learn more about the linear equation;

https://brainly.com/question/29739212

#SPJ2

Related Questions

Chris bought clothes for school. She bought 3 shirts for $12 each and a skirt for $15.

How much did she spend on the shirts?

Question 1 options:

Answers

3 times $12 is 36. So she spent $36 on the shirts. :)

Consider the equation
(x^m)^3 = (x^13)^5 times (x^-8)^-5.

The value of m is?

A. 15
B. 28
C. 35
D. 70

It's 35, I figured it out

Answers

This is the concept of algebra, the value of m will be calculated as follows;
(x^m)^3=(x^13)^5*(x^-8)^-5
expanding the above we get;
x^(3m)=x^(65)*x^(40)
x^(3m)=x^(65+40)
x^(3m)=x^105
the x will cancel out and we shall remain with:
3m=105
dividing both sides by 3 we get;
m=105/3
m=35
You are right the answer is m=35.
Bravo!!

Identify the property used in the first 5 steps to solve the equation 2(x-5)-6x=-22

Answer choices:
Step 1: Associative, Commutative or Distributive Property
Step 2: Associative, Commutative or Distributive Property
Step 3: Addition or Multiplication Property of Equality
Step 4: Addition Property or Combine Like Terms
Step 5: Addition or Multiplication Property of Equality

Answers

[tex]2(x-5)-6x=22[/tex] ⇒ We start by multiplying out the bracket and this property is called DISTRIBUTIVE property

[tex]2x-10-6x=-22[/tex] ⇒ from here the next step is simplifying by collecting like terms

[tex]2x-6x-10=-22[/tex] ⇒ The simplifying process is the application of COMMUTATIVE property since this property allows us to 'group' the like terms together. In other words, this property allows us to move the [tex]-6x[/tex] next to the [tex]2x[/tex].

[tex](2-6)x-10=-22[/tex] ⇒ This what actually happened when we simplify [tex]2x-6x[/tex], we work out the sum of [tex](2-6)[/tex] and the answer is multiplied back to [tex]x[/tex]. This is called the ASSOCIATIVE property as we 'associating' the constant of the like terms.

[tex]-8x-10=-22[/tex] ⇒ Adding 10 on both sides to eliminate [tex]-10[/tex] on the left hand side of equation

[tex]-8x=-22+10[/tex]
[tex]-8x=-12[/tex]
[tex]x= \frac{-12}{-8}= \frac{3}{2}=1.5 [/tex]

Hence, the steps are

STEP 1
STEP 4
STEP 2
STEP 3
STEP 5

Answer:

Distributive property

Step-by-step explanation:

From January through October, ACE Autos sold 150 cars. The number of cars sold in November and the number of cars sold in December were in the ratio of 3:5. If the total number of cars sold in the year was 390, find the number of cars sold in December. Solve algebraically.

Answers

390-150 = 240 cars were sold in November & December

ratio is 3:5

240/8 = 30

30*3 = 90

3*5 = 150

90 cars sold in November

150 cars sold in December

The amount of candy left in a Halloween bucket is given by the function A(t) = 50(0.8)t where t stands for the number of minutes the candy is available and A(t) stands for the amount of candy left at any given time. How much candy is there after five minutes?

50 pieces

40 pieces

16 pieces

200 pieces

Answers

I think that equation is supposed to look like this:
[tex]A(t)=50(.8) ^{t} [/tex]
The reason I say that is because this is an exponential decay problem, with a starting amount of 50 pieces of candy.
If that's the case, then it would look like this with a t value of 5:
[tex]A(5)=50(.8) ^{5} [/tex]
and [tex]A(5)=50(.32768)[/tex]
so the amount of candy left after 5 minutes is 16.384 or 16

0.9×10-1 in Standard notation

Answers

[tex]0.9*10^{-1}= \cfrac{0.9}{10}=0.09 [/tex]

0.9×1/10
0.9/10 =0.09
when a number has a 0 power then u have to flip over the number and change the power to positive

When the outliers are removed, how does the mean change?
The mean remains the same.

The mean decreases by 2.

The mean increases by 2.

There are no outliers.

Answers

Q1 = (19 + 20)2 = 19.5
Q2 = 26
Q3 = (32 + 33)/2 = 32.5
IQR = 32.5 - 19.5 = 13
13 * 1.5 = 19.5

outliers are : 19.5 - 19.5 = 0...anything below 0
32.5 + 19.5 = 52...anything above 52

there are no outliers <====

What is the slope and the y intercept of the line y=6x-9?

Answers

The slope is: 6 .
The y-intercept is: -9 ; (or, more precisely:  "(-9, 0)" .
_________________________________________________
   Note: The line in written in "point-slope form"; also known as:
"slope-intercept format" ; that is: " y = mx + b" ; in which:
                                              m = slope = coefficient of "x" ;
                                              b = "y-intercept" (or, more precisely; the value
                                                  of "x" in the "x-coordinate" of the point of the
                                                   "y -intercept).
__________________________________________________
    So:   Given: y = 6x - 9 ;   m = slope = 6 ;
                                             b = -9 .
__________________________________________________

Hello there! :)

This equation is written in slope-intercept form. which means we can easily idenify the slope and the y-intercept.

First of all, slope-intercept form looks like this:

y=mx+b

The letter m represents the slope, while the letter b represents the y-intercept.

Now, let's look at the values that we have.

We are given the equation of the line:

y=6x-9

We know that m is the slope; therefore, in this equation, 6 is the slope.

-9 is the y-intercept (the letter b)

Therefore, 6 is the slope and b is the y-intercept.

I hope it helps you. Let me know if you have any queries.

~A smiley teen

[tex]MagicalNature[/tex] here to help

What is the answer to this?

Answers

The answer is 6. 108 people divided by 18 people ( i cake )

To get the answer just simply divide

108/18= 6

So she will need 6 cakes to feed 180 people

evaluate the summation of 2n+5 from n=1 to 12

29
36
216
432

Answers

[tex]\bf \sum\limits_{n=1}^{12}\ 2n+5\implies \sum\limits_{n=1}^{12}\ 2n+\sum\limits_{n=1}^{12}\ 5\implies 2\sum\limits_{n=1}^{12}\ n+\sum\limits_{n=1}^{12}\ 5 \\\\\\ 2\cdot \cfrac{12(12+1)}{2}+(12\cdot 5)\implies 156+60\implies 216[/tex]

Suppose you are making yourself a sandwich. how many different sandwiches can you make if you have 4 choices in bread, 2 choices in meat, and 5 choices in cheese?

Answers

you would have 40 Choices

What is the sum of 12 and the quantity 8 times a number k is equal to 48? It was on my math homework, it hardly makes any sence to me, please help me, whats the answer?

Answers

Final answer:

The question is asking for the solution to the algebraic problem 12 + 8k = 48. By isolating 'k', it is found that the value of 'k' is 4.5.

Explanation:

The problem presented here belongs to the branch of algebra. It is showing a relationship between the sum, multiplication, and is presented in a typical algebraic equation format. Let's break it down:

The sum of 12 and a number (which is 8 times k) is equal to 48. This can be written in equation form as:

12 + 8k = 48

To find the value of k, we need to isolate 'k' in the equation. First, subtract 12 from both sides of the equation:

8k = 48 - 12

Then, simplify the right side:

8k = 36

Finally, divide both sides by 8 to solve for k:

k = 36 / 8

So, k = 4.5.

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ12

A ball is thrown from 4 feet off the ground with a vertical velocity of 30 feet per second.
Is the ball at its maximum height after 1 second? In two or more complete sentences, explain how you know whether or not the ball is at its maximum height.

Answers

A ball is at it maximum height when its velocity is zero. y = 4+30t - 16t^2 is the formula, where
V = V(0) -32t
0 = 30- 32t
t = 15/16 seconds when its velocity is zero.
It is not at its maximum height but is falling.

How would I solve this?

Answers

[tex] \sqrt{2k^2+17} =7\\\\
2k^2+17=49\\\\
2k^2=32\\\\
k^2=16\\\\
k=4[/tex]
Final answer: C

What is the square root of 26 in simplest radical form?

Answers

Final answer:

The square root of 26 in simplest radical form is just √26, as 26 has no perfect square factor. It can also be expressed as 26 raised to the power of 0.5 based on the concept of fractional powers corresponding to roots.

Explanation:

The square root of 26 in its simplest radical form cannot be simplified further as a perfect square factor because 26 is not a perfect square. However, if we apply the concept of expressing numbers as fractional powers, we can say that any number 'x' squared, written as x², is equivalent to the square root of 'x'. Thus, the square root of 26 can also be written as 26 to the power of 0.5 or 26⁰.⁵.

Expressing the concept mathematically, we can write the square root of any number 'x' as x to the power of 0.5, which is a helpful way to solve for unknown values in various equations. This idea is useful in scenarios where different roots of a number or expressions involving fractional exponents are to be calculated, and it is essential to remember that the square root is just another form of an exponent.

Are the following figures similar?

Answers

no the corresponding angles are not congruent, because the angle measures on the smaller figure are 90, 90, 137, and 43, while the larger figure has angle measures of 90, 90, 136, 44. that is why the following figures are not congruent.

Evaluate 5a^2 + 2b^3 when a=4 and b =-4

Answers

Hello there! How are you today?

5a^2 + 2b^3, solve when a = 4 and b = -4

To solve for this, we must replace "a" with 4, and "b" with -4.

I will set it up;

5(4^2) + 2(-4^3)

Simplify the parenthesis (PEMDAS).

5(16) + 2(-64)

Remove the parenthesis by multiplying them by the numbers to the outside of them.

5 x 16 = 80
2 x -64 = -128

We are now left with:
80 - 128

Simplify.

-48 is your final answer.

I hope this helps!

A car is purchased for $28,000. After each year, the resale value decreases by
35%. What will the resale value be after 3 years? Use the calculator provided and round your answer to the nearest dollar.

Answers

[tex]\bf \qquad \textit{Amount for Exponential Decay}\\\\ A=I(1 - r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ I=\textit{initial amount}\to &28000\\ r=rate\to 35\%\to \frac{35}{100}\to &0.35\\ t=\textit{elapsed time}\to &3\\ \end{cases} \\\\\\ A=28000(1-0.35)^3\implies A=28000(0.65)^3\implies A=7689.5 \\\\\\ \textit{which rounds up to }7689[/tex]

Final answer:

Using the formula for decrement, the resale value of a $28,000 car that depreciates at a 35% rate annually for three years would be roughly $10,012.

Explanation:

This question is about calculating the effects of percent decrease over a period of time. Specifically, the student is asked to calculate the value of a $28,000 car, after it undergoes a 35% percent decrease in value each year for three years. This type of problem is typically solved using the formula v = p * ((1 - r)^n), where v is the final value, p is the initial value, r is the rate of decrease, and n is the number of periods. In this case, the initial value (p) is $28,000, the rate of decrease (r) is 35% or 0.35, and the number of periods (n) is 3 years. Substituting these into the formula, we can find that the resale value after 3 years is v = 28000 * ((1 - 0.35)^3) = $10,011.75. Rounding this to the nearest dollar, we get an estimated resale value of $10,012.

Learn more about Percent Decrease here:

https://brainly.com/question/8549621

#SPJ3

HELP! 5/x+3 - 3/x-2 = 5/3x+6 please show your work. :)

Answers

here is a condensed solution

A drawing shows 4 apples and 6 bananas. Which is the ratio of bananas to apples? 6:4 3:2 6 4 all of the above

Answers

4 apples and 6 bananas

so ration bananas to apples = 6:4 or 3:2 or 6 4

answer is

all of the above

We can set up this question like this to help understand it better....

Bananas : Apples
6 : 4 -----> *** You would think this is the answer but it isn't! ***

Why you may ask... it's because this ratio can be simplified. Yes it is very much like a fraction!

So when we simplify 6 : 4 we will get this ratio as the answer!!
3 : 2

I hope this helps you! :D

Suppose that y varies inversely with x, and y=0.2 when x=2. What is an equation for the inverse variation

Answers

[tex]\bf \qquad \qquad \textit{inverse proportional variation}\\\\ \textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------\\\\ \begin{cases} y=0.2\\ x=2 \end{cases}\implies 0.2=\cfrac{k}{2}\implies 0.2\cdot 2=k\implies 0.4=k \\\\\\ thus\qquad y=\cfrac{0.4}{x}[/tex]

A car is a vehicle with four wheels.
Rewrite the statement as a true conditional with a converse that is false.
Write a similar true conditional with a converse that is true

Answers

Answer:

If a vehicle does not have 4 wheels, it is not a car.

Dont forget to give brainliest and thanks

(Solve for v) 2v − 6 = 4

Answers

2v-6=4
[add 6]
2v=10
[divide by 2]
v=5

The longest side of an acute isosceles triangle is 8 centimeters. Rounded to the nearest tenth, what is the smallest possible length of one of the two congruent sides?

Answers

This isosceles acute triangle has 2 equal sides (let it be a and the third = 8
To have a triangle we should comply with the following inequality:
a + a > 8
2a > 8
and a>4

Final answer:

To comply with the triangle inequality theorem, the smallest possible length of the congruent sides in an acute isosceles triangle with the longest side being 8 centimeters, would be slightly greater than 4 centimeters, rounded to the nearest tenth (4.1 centimeters).

Explanation:

In the context of an acute isosceles triangle, the longest side is the base and the other two sides are congruent or have equal length. The smallest possible length of the congruent sides comes into play in respect of the triangle inequality theorem, stating that the sum of the lengths of any two sides must be greater than the length of the third side. Thus, for the smallest possible length, each of the congruent sides must hence be just slightly larger than half the length of the longest side. So for an 8 centimeter base, the smallest length for the congruent sides should be slightly more than 4 centimeters, let's call it 4.1 centimeters, when rounded to the nearest tenth.

Learn more about Acute Isosceles Triangle

https://brainly.com/question/30126223?referrer=searchResults

#SPJ12

Where can the perpendicular bisectors of the sides of a right triangle intersect?
I. inside the triangle
II. on the triangle
III. outside the triangle

A. I only
B. II only
C. I or II only
D. I, II, or II

please show your work

Answers

It is B because, I drew a diagram of 2 right triangles, and used my protractor so I won't get an inaccurate answer.

(05.03)The equation shows the relationship between x and y:

y = −7x + 9

What is the slope of the equation?
−7
−2
7
9

Answers

In y = mx + b form, the slope will be in the m position

y = mx + b
y = -7x + 9

notice that in the m position, the number is -7. That means ur slope = -7

Answer:

Option 1) -7

Step-by-step explanation:

Given : The equation shows the relationship between x and y : [tex]y=-7x+9[/tex]

To find : What is the slope of the equation?

Solution :

The general slope form of the equation is [tex]y=mx+b[/tex]

Where, m is the slope and b is the y-intercept.

Now, We compare the given equation with general form of the equation

[tex]y=-7x+9[/tex]

On comparing, m=-7 and b=9

So, The slope of the given equation is -7.

Therefore, Option 1 is correct.

Please help me explain your answer

Answers

convert 2 2/5 into a fraction

2 2/5 = 12/5

12/5 * 1/9 =12/45 reduces to 4/15

the binomial expansion of (x + y^2)^2 is

Answers

Express this as two expressions:
[tex](x+y^2)(x+y^2)[/tex]
Distribute,
[tex]x^2 + xy^2 + xy^2 + y^4[/tex]
And now simplify:
[tex]x^2 + 2xy^2 + y^4[/tex]

Answer:

[tex]x^{2}+y^{4}+2xy^{2}[/tex]

Step-by-step explanation:

The given expression is (x + y²)² and we have to simplify it to find the binomial expansion.

(x + y²)² is in the form of (a + b)².

When we expand (a + b)² we get the binomial expression

(a + b)² = a² + b² + 2ab

Now we put the value of a = x and b = y²

(x + y²)² = x² + (y²)² + 2(x)(y²)

= [tex]x^{2}+y^{4}+2xy^{2}[/tex]

Therefore answer is [tex]x^{2}+y^{4}+2xy^{2}[/tex]

what is the common difference in the arithmic sequence 30,27,24,21,18

Answers

if you have two terms in a sequence, then a term decreased by the previous term=common difference

so
30 and 27

27 decreased by 30 is -3

the common differce is -3

Answer:

-3

Step-by-step explanation:

Its decresing by -3.

what operation represents a ratio

Answers

The operation that would represent a ratio would be division. A ratio, in mathematics, relates two numbers which indicates how many time is the first value contains the second value. It says how much of something is there as compared to another thing. For example, we have 3 blue circles to 1 red circle, it would be written as 3/1 or 3:1. Ratio and division are closely related. However, ratio is a relationship between things and division is an operation that can be used in this relationship but is not limited to this problem. If you are given 14 dogs, 7 chickens and 21 cows, the ratio would be 2:1:3. Indeed, you have divided the values but this is a ratio problem rather than a division problem.

Other Questions

For a fixed amount of gas at a constant temperature, the volume of the gas is inversely proportional to its pressure. The function v=18000/p relates the volume in cubic inches and pressure in pounds per square inch of a gas. What is the volume when the pressure is 900 pounds per square inch? Read the excerpt from Silent Spring.There was once a town in the heart of America where all life seemed to live in harmony with its surroundings. The town lay in the midst of a checkerboard of prosperous farms, with fields of grain and hillsides of orchards where, in spring, white clouds of bloom drifted above the green fields. In autumn, oak and maple and birch set up a blaze of color that flamed and flickered across a backdrop of pines.Which phrases in the excerpt best support the authors purpose of creating a positive image of a town? Check all that apply.heart of Americalive in harmonywith its surroundingslay in the midsthillsides of orchardsin autumnblaze of colorbackdrop of pines Ethel is arranging rides so that 27 members go bowling. Some people can ride in a van that belonges to the center where they meet the rest must ride in cars if 12 can go in the van and 5 can go in each car how many cars will they need? Mi abueloa.el padre de mi madre mi hermanab.la hija de mi madre mi nietoc.el hermano de mi padre mi tod.el hijo de mi ta mi primoe.el hijo de mi hija Why it is of advantage to use coal as a source of energy? in 1961 the university of Mississippi claimed that it did not refused to register students on the basis of race why then did James Meredith have to sue in court to be admitted to Ole Miss? The parents of a child with cystic fibrosis ask the nurse to explain the sweat test performed on their newborn. how should the nurse respond? What does international baccalaureate mean? the ________ will be used to write the rough draft.A. Source cards and thesisB. Outline aloneC. Brainstorming process D. Outline, thesis and not cards Regroup hundreds as Tens:8 hundreds 9 tens = dcrivez votre journe typique Give the common name for the structure. ethyl isopropyl ketone tert-butyl ethyl ketone sec-butyl ethyl ketone ethyl isobutyl ketone isobutyl methyl ketone A good way for an adolescent to build and protect her bones is to: Which example would be most appropriate to paraphrase? A statement by a smallpox victim that sums up his experience B.A memorable quote from a medical researcher about smallpox C.Medical terms related to smallpox that readers may not know D.Events that led to Edward Jenner's discovery of the smallpox vaccine What is a proportion? What is 40 kilometers per hour in meters per hour A drawer contains 12 identical white socks, 18 identical black socks and 14 identical brown socks. What is the least number of socks you must choose, without looking, to be certain that you have chosen two brown socks? Brainliest if answered in the next 5 minutes.Identify the balanced combination equation. Cl2O5 + H2O 2HClO3 2Fe(OH)3 Fe2O3 + 3H2O Cl2O5 + 3H2O HClO3 2Fe(OH)3 2FeO3 + 3H2O How to solve (8.76 x 109)(6.52 x 10-3)/13.27 x 105? Which button limits your search to the files and folders in your storage locations on the device being search? Steam Workshop Downloader