the sum of 2 consecutive integers is three times their difference what is the larger number​

Answers

Answer 1

Answer:

2

Step-by-step explanation:

Let the two consecutive integers be x , x+1

Sum : x + x +1 = 2x + 1

Difference: (x +1) - 1 = x + 1 - 1 = x

Sum = 3 times their difference

2x + 1 = 3 * x

2x + 1 = 3x    

      1 = 3x - 2x

     1 = x

The numbers are 1 , 2


Related Questions

What is the constant of proportionality, y/x

Answers

Answer:

1/2

Step-by-step explanation:

Answer:

k = 0.5

Step-by-step explanation:

Proportional relationship:

y = kx, where k- constant of proportionality

Using point on the graph (1, 0.5) to find the value of k:

0.5 = k*10.5 = kk = 0.5

A swim team ordered 36 jackets that each cost the same amount. The total cost of the order was $1,116. Let c be the cost of each jacket. How much did each jacket cost?

Answers

Answer:

c = $1116/36

c = $31

Step-by-step explanation:

the cost of each jacket can be determined by dividing the total cost of the 36 jackets by the number of jackets bought

cost of each jacket = total order cost / total number of jackets bought

$1116 / 36 = $31

Each jacket costs $31

What is the equation for the line of symmetry in this figure?

Answers

Answer:

Step-by-step explanation:

Y-axis is the line of symmetry as it divides the figure into two equal parts

Miss Lianto mowed 2/7 of her lawn. Her son mowed 1/4 of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?

HURRY AND BE CORRECT PLEASE!!!

Answers

Answer: 2/7 = 8/28

1/4 = 7/28

Therefore Mr Pham mowed more.

8+7 = 15 so 15/28 of lawn has been mowed, therefore 13/28 of the lawn is left still to be mowed.

Mr. Pham mowed more of the lawn than his son.

it still needs ¹³/₂₈ of the lawn to be mowed.

Step-by-step explanation:

Answer: 1/4 is greater than 2/7 mowed most of the lawn.

Step-by-step explanation:

First, draw a fraction model for [tex]\frac{2}{7}[/tex] and [tex]\frac{1}{4}[/tex] and partition it. Then, how ever many you get write it as a fraction. Then, see whose answer is greater.

If triangle PQR is similar to SQT, find the value of
PQ.
X-9
S
T
8
Y +5
P
R
21
X = 15
PQ = 26

Answers

Answer:

x = 31.4

PQ = 58.8

Step-by-step explanation:

Set up a proportion:

SQ/QP = ST/PR

Substitute in the values they give you:

[tex]\frac{x-9}{x-9+x+5} = \frac{8}{21}[/tex]

[tex]\frac{x - 9}{2x - 4} = \frac{8}{21}[/tex]

[tex]21x - 189 = 16x - 32\\5x = 157\\x = 31.4[/tex]

This means that PQ = 2x - 4 = 2(31.4) - 4 = 62.8-4 = 58.8

Answer:

x = 15, PQ = 26

Step-by-step explanation:

x+13/9 = 21/x-9

x^2+4x−117=168

x^2+4x−285=0

(x−15)(x+19)=0

x=15

it cannot be a negative number so x cannot be -19

PQ= x+13

15+13=26

The perimeter of a football field in a certain school is 296m. If the breadth is 2/3 of the length, find the sides of the field

Answers

Answer: 88.8 m , 59.2 m

Step-by-step explanation:

Given

Breadth is [tex]\frac{2}{3}[/tex] of length

Suppose length is x m

So, breadth is   [tex]\dfrac{2}{3}x[/tex]

Perimeter is given by [tex]P=2(L+W)[/tex]

Putting values

[tex]\Rightarrow 296=2(x+\dfrac{2}{3}x)\\\\\Rightarrow 296=2(\dfrac{5}{3}x)\\\\\Rightarrow x=\dfrac{296\times 3}{10}=88.8\ m[/tex]

Length L is [tex]88.8\ m[/tex]

width W is [tex]\frac{2}{3}x=59.2\ m[/tex]

What was the main purpose of the Declaration of Independence?

Answers

Answer:

The main purpose of America's Declaration of Independence was to explain to foreign nations why the colonies had chosen to separate themselves from Great Britain. The Revolutionary War had already begun, and several major battles had already taken place.

Step-by-step explanation:

Definition of radius

Answers

Answer:

Step-by-step explanation:

A straight line from the center to the circumference of a circle or sphere.

Octers on product box
Usplay
and front-firing
speakers

Answers

Answer:

Step-by-step explanation:

A trust me and c

suppose you have a bag of 25 marbles and 3 of the marbles are white.If you choose one without looking, what is the probability you choose a white marble? Write this probability as a percent . Use a word or phrase to describe this probability.​

Answers

Answer:

3/25

THERE IS AN 11% CHANCE

can i get brainliest

Step-by-step explanation:

Answer:

12%

Step-by-step explanation:

3 is 12% of 25. So you would have a 12 percent chance of getting a white marble.

3 ÷ 25 = 0.12 = 12%

Percent formula

P × V1 = V2

can someone help me simplify this?​

Answers

Answer:

sinB

Step-by-step explanation:

Using trigonometric sum/difference rule -

we can expand the expression to

= (sinAcosB + cosAsinB)cosA - (cosAcosB - sinAsinB)sinA

= cosAsinAcosB + cos^2(A)sinB - sinAcosAcosB + sin^2(A)sinB

= cos^2(A)sinB + sin^2(A)sinB

= (cos^2(A) + sin^2(A))sinB, (Pythagorean identity)

= (1 * sinB)

= sinB

OMG PLEASE HELP IF I DONT PASS THIS I FAIL MY CLASS! HELP! 30 POINTS SHOW WORK IF U NEED TO PLEASE! thank you too anyone(PRETTY PLEASE SHOW HOW YOU DID IT/can you show work)

Answers

Answer:

answer is c have a great day :)

Step-by-step explanation:

Subtract right answers please

Answers

Answer: 11 - (-12) = 23

              -22 - 49 = -71

Answer:

23

-71

Step-by-step explanation:

11 - (-12) = ?

-22 - 49 = ?

11 - ( -12) = 11 + 12 = 23

-22 - 49

subtracting a negative from a negative is like adding a positive to a positive it has the same affect just a different sign

-22 - 49 = -(22 + 49)

22 + 49 = 71

-(71) = -71

Find the difference.
(9/4x + 6)-(-5/4x-24)

Answers

Answer:

9x/4 + 30 + 5x/4

Step-by-step explanation:

[tex]9x/4 +30 +5x/5[/tex]

The simplification of the expression (9/4x + 6) - (- 5/4x - 24) will be 3.5x + 30.

What is simplification?

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The expression is given below.

⇒ (9/4x + 6) - (- 5/4x - 24)

Simplify the expression, then we have

⇒ (9/4x + 6) - (- 5/4x - 24)

⇒ (9/4)x + 6 + (5/4)x + 24

⇒ (14/4)x + 30

⇒ 3.5x + 30

The simplification of the expression (9/4x + 6) - (- 5/4x - 24) will be 3.5x + 30.

More about the simplification link is given below.

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Find the cube roots of unity in standard form (a+bi). Use exact values.

Answers

Every non-zero complex number has three cube roots. In general, any non-integer exponent, like  

1

3

here, gives rise to multiple values. The way we find them is by multiplying  

z

by 1 before exponentiating. We write  

1

using Euler's Identity to the  

2

k

power for integer  

k

. That's

mary need 50 ft of fence to protect her rectangular garden from squirrels. How long and how wide is the 8 ft more than the width length is if the length is 8 ft more than the width

Answers

Answer:

Width of the fence = 8.5 ft

Length of the fence = 16.5 ft

Step-by-step explanation:

Mary need 50 feet of fence to protect her rectangular garden from squirrels. How long and wide is the garden if the length is 8 feet more than the width?

Perimeter of the fence = 2(length + width)

Perimeter of the fence = 50 ft

Width of the fence = x ft

Length of the fence = x + 8 ft

Perimeter of the fence = 2(length + width)

50 = 2{(x+8) + (x)}

50 = 2(x + 8 + x)

50 = 2(2x + 8)

50 = 4x + 16

50 - 16 = 4x

34 = 4x

x = 34/4

x = 8.5

Width of the fence = x ft

= 8.5 ft

Length of the fence = x + 8 ft

= 8.5 + 8

= 16.5 ft

Width of a rectangle is equal to [tex]\boldsymbol{8.5}[/tex] feet and length is equal to [tex]8.5+8=\boldsymbol{16.5}[/tex] feet

Perimeter of a rectangle

A quadrilateral having four right angles is known as a rectangle. It can also be described as a square - shaped quadrilateral (equiangular meaning all angles are identical) or a parallelogram with a right angle.

Let [tex]x[/tex] denotes the width [tex](w)[/tex] of a rectangle.

So,

Length of a rectangle [tex](l)=x+8[/tex]

Perimeter of a rectangle [tex]=50[/tex] feet

[tex]2(l+w)=50\\l+w=25\\x+8+x=25\\2x=17[/tex]

[tex]x=8.5[/tex] feet

So,

width is equal to [tex]\boldsymbol{8.5}[/tex] feet and length is equal to [tex]8.5+8=\boldsymbol{16.5}[/tex] feet

Find out more information about rectangle here:

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Sorry to bother you but I am so bad at math plz help

Answers

Answer:

4

Step-by-step explanation:

Answer

C = 4

Step by Step

Divide both sides by the numeric factor on the left side, then solve.

c  =  4

A swimming pool measures 10 feet by 8.5 feet by 5 feet. How many cubic feet of water will the swimming pool hold?

Answers

Answer:

425 Cubic Feet

Step-by-step explanation:

Cubic feet is volume meaning that in order to find the volume you must multiply the length, width and the height. The answer is 425

The swimming pool will hold 425 cubic feet of water.

What is the volume of a rectangular prism?

The volume of the rectangular prism is defined as the space in three-dimension covered by the rectangular prism having the sides Length, Width, and Height.

To find the volume of the swimming pool in cubic feet, we need to multiply the length, width, and height of the pool:

The volume is calculated as,

Volume = length x width x height

Volume = 10 ft x 8.5 ft x 5 ft

Volume = 425 cubic feet

Therefore, the swimming pool will hold 425 cubic feet of water.

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The semicircle below has diameter $20$. Find the area of the blue region.

Answers

We subtract the area of the triangle from the area of the semicircle

Area of the blue region is 61 units²

Area of semi circlearea = π / 2 r²

Therefore,

r = radius

Area of the blue region  = area of semi circle - area of triangle

Therefore,

area of triangle = 1/bh

where

b = base

h = height

Therefore,

area of triangle = 1 / 2 × 12 × 16 = 96 units²

area of semi circle = 3.14 × 10² /  2 = 157 units²

Area of the blue region  = 157 - 96 = 61 unit²

learn more on semi circle here: https://brainly.com/question/24887556


Mrs. Kemp began the school year with 20 students in her kindergarten class. She had 23 students at the end of the year. What was the
percent of increase in the number of students from the beginning of the year to the end of the year?

Answers

First, we’re going to use this formula:

2nd number - 1st number
————————————— x 100%
1st number


If we plug in the numbers to this equation:

23-20
———- x 100%
20

And subtract 23 to 20, the answer to this equation is:

3
—- x 100% = 15%
20

In this case, the percent of increase is 15%.

A bag contains 36 red balloons, 40 blue balloons, and 24 purple balloons. Find the probability of NOT choosing a purple balloon.
Group of answer choices

A 3/4

B 76%

C 0.25

D 24%

Answers

add the numbers up
36+40+24=100
36+40=76
76/100 simplified is 19/25
19 divided by 25 is 76%
It’s B. All that equals to 100 so divide and it is equal to 76%

(WILL GIVE BRAINLIEST IF RIGHT PLEASE HELP 20 POINTS!!!)

What is the value of x?

Enter your answer in the box.

x = ?

Answers

x = 46 because 180 - 134 = 46

Answer:

46

explanation:

its supposed to make up 180 so you will subtract 180 from 134 and thats your answer

Without solving determine the number of real solutions for each quadratic equation
b^2-4b+3=0
2n^2 + 7 = -4n + 5
x - 3x^2 = 5+ 2x - x^2

Answers

Answer:

Complete the square to determine the number of solutions

#1

b² -4b + 3 = 0b² - 4b + 4 = 1(b - 2)² = 1Two solutions

#2

2n² + 7 = -4n + 52n² + 4n + 2 = 0n² + 2n + 1 = 0(n + 1)² = 0One solution

#3

x - 3x² = 5 + 2x - x²3x² - x² + 2x - x + 5 = 02x² + x + 5 = 0x² + x² + 2*1/2x + 1/4 + 4 3/4 = 0x² + (x + 1/2)² + 4 3/4 = 0No solutions

Answer:

b^2-4b+3=0

b²-3x-b+3=0

b(b-3)-1(b-3)=0

(b-3)(b-1)=0

either

b=3 or b=1

.

2n^2 + 7 = -4n + 5

2n²+4n+7-5=0

2n²+4n+2=0

2(n²+2n+1)=0

(n+1)²=0/2

:.n=-1

.

x - 3x^2 = 5+ 2x - x^2

0=5+ 2x - x^2-x +3x^2

0=5+x+2x²

2x²+x+5=0

comparing above equation with ax²+bx +c we get

a=2

b=1

c=5

x={-b±√(b²-4ac)}/2a ={-1±√(1²-4×2×5)}/2×1

={-1±√-39}/2

Help me plz!!!! For number 17

Answers

Answer:

x=40

Step-by-step explanation:

x + 320 = 360

   -320     -320

x            =  40

Answer:

x=40

Step-by-step explanation:

So, since the figure has 4 sides, we know that the sum of the interior angles is 360. To check: (n-2)*180=(4-2)*180=28180=360.

That means x equals 360 minus the sum of the other three angles.

100+120+100=320

360-320=40

x=40 degrees

Ava is in a hot air balloon that has just taken off and is floating above its launching point. Mary is standing on the ground 4 meter away from the launching point. If ava and mary are 5 meters apart, how high up is ava ?

Answers

Answer:

Ava's altitude is 3 meters.

Step-by-step explanation:

The position of Ava and Mary can be described by the sides of a right angled triangle. Let Ava's altitude be represented by x.

So that applying the Pythagoras theorem, we have;

[tex]/hyp/^{2}[/tex] = [tex]/Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex]

[tex]5^{2}[/tex] = [tex]4^{2}[/tex] + [tex]x^{2}[/tex]

25 = 16 + [tex]x^{2}[/tex]

[tex]x^{2}[/tex] = 25 - 16

   = 9

x = [tex]\sqrt{9}[/tex]

   = 3

x = 3 meters

Thus, Ava's altitude is 3 meters.

6m+27=8.25m
m=?
HELPPP

Answers

Answer:

12

Step-by-step explanation:

This is correct. Trust me.

I'm glad I could help:)

6m+27=8.25m

You have to subtract 6m on both sides first.

6m+27=8.25m

-6m       -6m

27=2.25m

Now we divide 2.25 from both sides.

27=2.25m

/2.25 /2.25

12=m

---

hope it helps

1. Expand to write an equivalent expression: −14(8x+12y)

2. Factor to write an equivalent expression: 36a−6
Pls answer (No links)

Answers

Answer:

-112x-168y, 6(6a-1).

Step-by-step explanation:

-14(8x+12y)

-112x-168y

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

36a-6

6(6a-1)


find the lateral surface area of the prism below PLS ANWSER QUIC

Answers

Answer:

give me sec waitttttttt give me sec I think 16

Answer: 24

Step-by-step explanation:

Surface area of cube = 6 x side length x side length

Plug in 2 for side length

6 x 2 x 2 = 24

Which measurements is equivalent to 4,000 centimeters? (100 centimeters = 1 meter)

Answers

Answer:

400 meters = 4000 centimeters

Step-by-step explanation:

Sorry if this didn't help

The solution is , 4,000 centimeters are equivalent to 40 meters. Hence, the answer is A) 4,000 cm.

What is equation?

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides, left-hand side (LHS) and right-hand side (RHS), connected by an equal sign (=). The LHS and RHS can contain numbers, variables, operators, and functions, and the equal sign indicates that the value of the expression on the LHS is equal to the value of the expression on the RHS.

Here,

we know,

100 centimeters = 1 meter

Since there are 100 centimeters in one meter, we can convert meters to centimeters by multiplying the length in meters by 100.

So, to convert 40 meters to centimeters, we can multiply 40 by 100:

40 meters = 40 x 100

= 4,000 centimeters

Therefore, 4,000 centimeters are equivalent to 40 meters. Hence, the answer is A) 4,000 cm.

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Mrs. Lee teaches 132 students every day. On a particular day, one-fourth of her students are sick and 24 go on a field trip. In addition to these absences, she gets three new students. How many students does she teach on this day?

Answers

Answer: 78

Step-by-step explanation:

Given

Mrs. Lee has [tex]132[/tex] students

On a particular day, one-fourth of her students are sick i.e.

[tex]\Rightarrow \dfrac{1}{4}\times 132=33[/tex]

and 24 were on a field trip.

The total no of students taught on that day will be the subtraction of the gone students and the addition of three new.

[tex]\Rightarrow 132-33-24+3\\\Rightarrow 78[/tex]

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