the sum of two consecutive integers is three times their difference.what is the larger number.please help!​

Answers

Answer 1

9514 1404 393

Answer:

  2

Step-by-step explanation:

If n is the larger integer, n-1 is the smaller. The difference of consecutive integers is 1, so their sum is ...

  n +(n -1) = 3(1)

  2n = 4 . . . . . . . . . add 1

  n = 2 . . . . . . . . . . divide by 2

The larger integer is 2.

Answer 2

Answer:

2

Step-by-step explanation:

The larger number r={2}

PREMISES

r+s=3(r-s)

ASSUMPTIONS

Let r=s+1

Let s=s

CALCULATIONS

(s+1)+s=3[(s+1)-s]

2s+1=3[(s-s)+1]

2s+1=3(0+1)

2s+1=3(1)

2s+1=3

2s+(1–1)=3–1

2s+0=3–1

2s=2

2s/2=2/2

s=2/2

s=

{1}

And if s=1, then

r=s+1=

{2}

PROOF

If r, s={2,1}, then the equations

(1) r+s=3(r-s)

(2) 2+1=3(2–1)

(3) 2+1=3(1) and

(4) 3=3 prove the roots (zeroes) r, s={2,1} of the statement r+s=3(r-s)

HOPE THIS HELPS! :]


Related Questions

In the expression 3x + 5x – 3y + 5, which terms are “like terms”?
A. 3x and 3y
B. x and 5
C. 3x and 5x
D. all terms

Answers

Answer: C

Step-by-step explanation: 3x and 5x both have x

C - 3x and 5x. Because like terms are the ones with the same variable/letter.

Write an
algebraic expression to represent the area of the shaded region:
2y
4y + 3

Answers

Answer:

4y^{2}+3y  

Step-by-step explanation:

First you need to distribute the values.  

(4y+3)(2y) Using the "Rainbow Method" to multiply the polynomials  

You Should get  

8y^{2}+6y  

Since this is the area of the rectangle and we need to find the area of the shaded region you need to dived 8y^{2}+6y in half because the shaded region is half of the rectangle.  

8y^{2}+6y/2  

Doing this you will get  

4y^{2}+3y

Jesse looks at the prices of 5 guitars. The prices are $85,
$90, $88, $82, and $86. This data set does not contain an
extreme value.
Which measure of center should Jesse use to describe the prices?
A. Either the mean or the median. The values are about the same.
B. Mean absolute deviation (MAD)
C. Interquartile range (IQR)
D. Range

Answers

The answer is A. I did this test and it said it was A.

What is the value of 56 - (3 to the power of 3 + 13)

Answers

Answer:

16

Step-by-step explanation:

3^3=27 then you have 27+13=40 now you have 56-40=16

SOMEONE HELP OR IM GONNA FAIL

A bag contains:
• 5 red marbles
• 6 blue marbles
. 3 green marbles
• 4 black marbles
• 2 yellow marbles
A marble will be drawn from the bag and replaced 100 times.
What is a reasonable prediction for the number of times a green
or black marble will be drawn?

Answers

Answer:

A green marble  will be drawn 64444444444444444444444444444444444445372587542723784532784572384327542757235432785423752375428369823 to the sqaure root of 48727 times

Step-by-step explanation:

hola espanol taco chicop espanol

I think a fair argument for the green marbles is that it will be chosen 15/100 times, because if you add all marbles up you get 20 marbles in total, with 3 being green. If you multiply this by five you will get 15/100, therefore this is a reasonable prediction.

(Sorry about the other person.)

What number should go in the space?
Multiplying by 1.25 is the same as increasing by __ _%.

Answers

Answer:

125

Step-by-step explanation:

1.25=125/100=125%

(9+5)(3+2)⁰
Evaluate



A:0
B:1
C:14
D:15​

Answers

Answer:

C:14

Step-by-step explanation:

(9+5)(3+2)°= (9+5)(1)=14

question on picture urgent ​

Answers

Answer:

Step-by-step explanation:

dang i dont know

I NEED HELP WITH THIS I DONT UNDERSTAND IT

Answers

16.935 I got a question on a test hope this helps):

Plssssssss help answer all 3 plssssss I will give the thingy

Answers

I’m not exactly sure but for all questions it should be the answer 6

The ratio of fish to turtles in a pond is
20:3. There are 80 fish in the pond.
How many turtles are in the pond?
A 10
14
C 12
D 16

Answers

Answer:

C : 12

Step-by-step explanation:

Answer:

12 turtles

Step-by-step explanation:

First, if the ratio of fish to turtles is 20:3 and there are 80 fish, then we know that you have to divide 80 by 4 to get the answer 20. However, to find out how many turtles there are you need to do the opposite and multiply instead of dividing. So you do 3 x 4, which get you your answer.

Hope this helps!

If my function rule is 4x, what is the OUTPUT if the input is 5?

Answers

Function rule = 4x .

Input is 5 .

Output

Here as the input is 5 we need to substitute 5 in place of x .

So ,

⠀⠀⠀⠀⠀‎─━━━━━━━━━━━━─

Hαppч Sσlvíng !¡ :)

The output of the function rule is 20 for the input is 5.

What is a function?

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operations is called the arithmetic operator.

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

We have been given that function rule = 4x.

To determine the output for the input is 5

The input given is 5, hence we must substitute x with 5.

So, the output of the function rule = 4(5) = 20.

Therefore, the output of the function rule is 20 for the input is 5.

Learn more about the function here:

brainly.com/question/12431044

#SPJ2

Write an expression for the perimeter of this shape.

Answers

Answer:

y+2x+5

Step-by-step explanation:

to find a find perimeter of a quadrilateral you just need to add all the length of the lines it have.

1/2=0.5

0.5y+0.5y+x+x+5

y+2x+5(answer)

oh please i need help lol

Answers

Answer:

 

Step-by-step explanation:

                               

Question 4
Write the unit rate rounded to the nearest hundredth (two decimal places).
Type the numerical answer only. Do NOT type any units, dollar signs, or spaces.
Six calculators cost $180. Determine the cost per calculator.

Answers

Answer:

Each calculator cost $30 because $180 divided by 6 is 30

Step-by-step explanation:

9.
Evaluate f(x) = [tex]-x{2}[/tex] for x = –3.

A. –9

B. –8

C. 4

D. –4

Answers

Answer: D




Explanation

Mrs.cooper painted 1/3 of her wall in 3/4 hour if she works at the same rate what portion of the wall will she paint in one hour

Answers

Answer:

Step-by-step explanation:

find the circumference of each circle. round to the nearest tenth. use 3.14 for Pi.

7.9 inches
15.7 inches
6.3 inches

Answers

Answer:

its is 15.7

Step-by-step explanation:

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Answers

No questions here ????

PLEASE HELP MEE
Which of the following is an example of the law of syllogism?
A.
If a plant is bamboo, then it is a grass. If a plant is a grass, then it is a graminoid. A plant is a graminoid. Therefore, the plant is bamboo.
B.
If A plant is bamboo, then it is a grass. If a plant is a grass, then it is a graminoid. A plant is bamboo. Therefore, the plant is a graminoid.
C.
If a plant is bamboo, then it is a grass. A plant is a grass. Therefore, the plant is bamboo.
D.
If a plant is bamboo, then it is a grass. A plant is bamboo. Therefore, the plant is a grass.

Answers

9514 1404 393

Answer:

  B.  If A plant is bamboo, then it is a grass. If a plant is a grass, then it is a graminoid. A plant is bamboo. Therefore, the plant is a graminoid.

Step-by-step explanation:

A syllogism is a sequential implication:

  If p then q, and If q then r   ⇒   p therefore r.

__

To choose the example, you need to find the elements of each implication and see if they match this pattern.

A: p ⇒ q; q ⇒ r; r ∴ p . . . . not a syllogism

B: p ⇒ q; q ⇒ r; p ∴ r . . . . the syllogism we're looking for

C: p ⇒ q; q ∴ p . . . . not a syllogism

D: p ⇒ q; p ∴ q . . . . not a syllogism

Plzzzzzzzzzzzzz help me i begggg u just find the number for the boxes

Answers

Answer:8.124. 9.42 10. TW=4.015 equation sin(35)=4.015/7. 11.WS=10.459 equation: Tan(69)=10.459/4.015

Step-by-step explanation:

use sine rule and tan rule like upwards and hope you get it right mate

Find the solution of the system of equations. -10x+8y= -44 4x+8y=40

Answers

Answer:

(6, 2)

Step-by-step explanation:

i hope this helps :)

10. The school bookstore sells T-shirts for $12 and sweatshirts for $15. Last
month, the bookstore sold a total of 41 shirts for $564. How many T-shirts and
sweatshirts did the bookstore sell?

Answers

Answer:

41 shirts and 4 sweatshirts

Step-by-step explanation:please give brainlyest

3. Ana's bedroom measures 8-feet by 12-feet. She
wants to set up a corner of her room for arts and
crafts and wants to use one fourth of the dimensions
of her room for it. What will be the area of her arts
and crafts corner?

Please help me! Show work please. Sorry:(

Answers

If she wants one fourth of the dimensions of the room for the corner, that means the area will be 1/16 (one fourth squared) of the whole bedroom. The area of the whole bedroom is 8 x 12 = 96. The area of the corner would be 96 / 16 = 6 sq ft.

Or you can do (one fourth of 8) x (one fourth of 12) = 2 x 3 = 6 sq ft.

Is(-10,-7) a solution to this system of equations?

Answers

Answer:

picture?

Step-by-step explanation:

what equation?

a musician charges a $75 travel fee and a performance fee of $150 per hour. The musician made $675 after a show. Write an equation you can use to find out how long the show was.​

Answers

Answer:

(75 * F) + (150 * T) = 675

Step-by-step explanation:

Answer:

y=150x +75

The value of x when y=675 is 4.

Step-by-step explanation:

x represents the number of hours long the show was.

y represents the amount of money the musician made.

Need help I’m getting stuck on this problem

Answers

Plug in y in the bottom equation
5x + 6x = 44
11x = 44
X= 4

Answer:

y is already isolated in the top equation

x = 4

y = 12

(4,12)

Step-by-step explanation:

y is already isolated in the top equation

plug y = 3x into bottom equation

5x + 2y = 44

5x +2(3x) = 44

5x + 6x = 44

11x = 44

x = 4

plug x = 4 into y = 3x

y = 3(4)

y = 12

Help please
Brainiest answer to whoever is first
Show work if you can

Answers

Answer:

114

Step-by-step explanation:

19x6=114

Answer: 114


Explanation

Please help! 15 points! Do not steal points or I will report! Explanation = Brainliest!
Solve [tex]\sqrt{384}[/tex] without going into decimals.

Answers

(Answer is below)

Let's solve this step-by-step.

1. Prime factorization of 384.

[tex]=\sqrt{2^7\times3}[/tex]

2. Apply the exponent rule. (Formula: [tex]a^b^+^c=a^b\times a^c[/tex])

[tex]=\sqrt{2^6\times2\times2\times3}[/tex]

3. Apply the radical rule. (Formula: [tex]\sqrt{ab} =\sqrt{a}\sqrt{b}[/tex] or [tex]a\geq 0,b\geq 0[/tex])

[tex]=\sqrt{2^6} \sqrt{2\times3}[/tex]

3a. Solve 2 to the 6th power.

[tex]\sqrt{2\times2\times2\times2\times2\times2} =8[/tex]

4. Multiply 2 by 3. (Note: Put the 8 in your final answer)

[tex]\sqrt{2\times3} =8\sqrt{6}[/tex]

Your answer is: [tex]8\sqrt{6}[/tex]

Let me know if you have any questions.

~ Lily, from Brainly.

Organizers are launching fireworks over the top of the Washington
Monument in Washington, DC. Due to costs, they would like to find the
smallest shell possible that will reach the correct height. The monument
is 555 feet tall. The initial velocities of each size shell are given below.

size (in.) 2 3 4 5 6 8 10 12
initial velocity (ft/s) 117.5 144 166 186 203.5 235 263 287.5

The height of the firework t seconds after it is launched is given by
h = -16t^2 +vt where v is the initial velocity. Use the discriminant to determine
the smallest size shell that will reach over 555 feet. Explain. PLEASE HELP I WILL MARK BRAINLIEST!!!

Answers

sorry I don't know

sorry I don't know

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