Find two consecutive integers whose sum is eleven less than three times the smaller integer.

Answers

Answer 1

Answer:

If you call the smaller integer "x" and the greater integer "y", then:

x+y=3x-11             The sum of the two is 11 less than 3 times the smaller

y=x+1                    Because they are consecutive, the greater must be 1 more than the smaller

Then you can solve for x:

x+(x+1)=3x-11       Substitute x+1 for y

2x+1=3x-11            Combine like terms

2x+12=3x               Add 11 to both sides

12=x                      Subtract 2x from both sides

The smaller integer is 12, thus the greater integer is 1 more or 13.

Check:

12+13=3(12)-11

25=36-11

25=25                       Yes, so the integers are 12 and 13

Step-by-step explanation:

thats pretty much it


Related Questions



Find the Error A large box of spaghetti noodles contains 3 pounds and costs $2.40. A student said the unit cost is $1.20 per pound. Complete
the statement to explain why the student was incorrect and find the correct answer.
The student found the unit cost for 2 pounds of noodles, not 3 pounds. To find the unit cost for 3 pounds, divide the total cost, $ _______
by the number of pounds, _______
So, the cost per pound is $ _______

Answers

Answer: A) $2.40 B) 3 C) $0.80

A, B, and C are in order of the blanks.

Answer:

The student found the unit cost for 2 pounds of noodles, not 3 pounds. To find the unit cost for 3 pounds, divide the total cost, $2.40

by the number of pounds, 3 lbs

So, the cost per pound is $0.80

Step-by-step explanation:

2.40 divided by 3 is $0.80

I hope this helped, please mark Brainliest, thank you!

Which equation has no solutions?
1. 2(x + 3) = 3(2x + 2)
2. -x + 3 + 5x = 4x + 3
3. 2(2x – 10) + 32 = 4(x+3)
4. 3(5x + 4) – 20 = 15x -4

Answers

Answer:

4. 3(5x+4)-20=15x-4 has no solution

Step-by-step explanation:

3(5x+4)-20 = 15x - 4

15x-8=15x-4

15x = 15x+4

0=4

No Solution

Answer:

3(5x + 4) – 20 = 15x -4

Step-by-step explanation:

2x + 6 = 6x + 6 One solution 4x = 0

4x + 3 = 4x + 3 infinite solutions

4x + 12 = 4x + 12 infinite solutions

15x - 8 = 15x - 4 no solutions -8 ≠ -4

I solved the problems ahead of time if you need the work tell me.

No solution would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable. Infinite solutions would mean that any value for the variable would make the equation true. Note that we have variables on both sides of the equation.

I need help with this please!!

Answers

Answer:

The correct choices would be A, C, D & F. Correct me if I'm wrong :)

PLEASE HURRYYYY

find three points that solve the equation x- 4y=-18

Answers

Answer:

one of the three plots is (-2,4)

Step-by-step explanation:

what is 65 + 4 1 grade math class

Answers

Answer:

106

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

m² - 9m +8
(Factoring)
show steps

Answers

Answer:

I really dont know sorry love <3

Step-by-step explanation:

Which one is the right answer?

Answers

Answer:

angle 2 is 35 degrees

angle 3 is 55 degrees

Answer:

(below)

Step-by-step explanation:

since angles 3 + 4 are a right angle (90 degrees) 90 - 35 = 55. so, m of angle 3 = 55 degrees

1 is a right angle. so, m of angle 1 = 90 degrees

if all interior angle of a triangle add up to 180, angle 2 must equal 35

1. A tortoise is running on a long, moving sidewalk. Her pedometer doesn't report her speed, but she knows that—since she got on—she's been running for 40 minutes and that she's traveled 3 kilometers. Unfortunately, she realizes she left her suitcase on the ground just before she got on the sidewalk. Since she's too short to climb over the handrails, she decides to turn around and run at the same speed back to her suitcase. If it takes her 2 hours to return to her suitcase, how fast (in kilometers per hour) was the moving sidewalk moving? How fast (in kilometers per hour) was the tortoise running?

Answers

Answer:

the sidewalk speed q = 3km/hr

the tortoise speed p is 1.5 km/hr

Step-by-step explanation:

From the given information:

let the speed of the tortoise be p  & the speed of the sidewalk be q

she's been running for 40 minutes (40/60 = 2/3) and that she's travelled 3 kilometres

Thus,

p + q = [tex]\dfrac{3}{\dfrac{2}{3}}[/tex]

p + q = 9/2

p + q = 4.5 ----- (1)

when returning, she travelled 3km in 2 hours

i.e. -p + q = 3/2

-p + q = 1.5   ----- (2)

Thus, by using the elimination method for equation (1) and (2)

  p + q = 4.5  ----- (1)

-p + q   = 1.5 ----- (2)  

      2q =  6              

q = 6/2

q = 3 km/hr

From equation (1)

p + q = 4.5

p + 3 = 4.5

p = 4.5 - 3

p = 1.5 km/hr

Therefore, the sidewalk speed q = 3km/hr and the tortoise speed p is 1.5 km/hr

at a restaurant jars of tomato sauce are stored in boxes in the pantry . each box contains 8 jars of tomato sauce . A cook uses 2 jars from 1 of the boxes .

Which function shows the relationship between y , the total number of jars of tomato sauce remaining in the pantry , and x , the number of boxes in the pantry?​

Answers

Answer: y=8x-2

Step-by-step explanation

Because 8 jars per box would be 8x (x for how many boxes) and subtract 2 so it would be y=8x-2

Answer:

Step-by-step explanation:

y=8x-2

19. A package of 12 confetti eggs costs $2.88.
At this rate, what is the cost of 1 confetti egg?

Answers

Answer:

0.24$

Step-by-step explanation:

Each egg costs 1/12 of 2.88.

So either you multiply 2.88 by 1/12

or you divde 2.88 by 12

Answer:

0.24

Step-by-step explanation:

you would divide 2.88 by 12 hope this helps.

A ticket to see your favorite baseball team costs ​$30.08. That price decreases by ​$0.42 for every game lost during the regular season. What equation could you use to find the cost C of a ticket after L​ losses? Represent the total change in the cost of a ticket after the team loses 27 games. What is the price of a ticket after the team loses 27 ​games?

Answers

Given :

A ticket to see your favorite baseball team costs ​$30.08.

That price decreases by ​$0.42 for every game lost during the regular season.

To Find :

What equation could you use to find the cost C of a ticket after L​ losses.

Solution :

Let, n is number of match loses and P is the price of ticket.

So, equation is given by :

P = 30.08 - (0.42)n           .......1)

Putting n = 27 in above equation,we get :

P = 30.08 - ( 0.42 )( 27 )

P = $18.74

Therefore, the price of a ticket after the team loses 27 ​games is $18.74 .

Hence, this is the required solution.

Please help ASAP
Drag and drop the numbers into the correct locations​

Answers

Answer:

first box: -1

second box: √-1

Step-by-step explanation:

the imaginary number equals √-1 and when you square it, the roots would go away, leaving you with -1.

If you know that the product (x) of two powers is 15^13 and the quotient (÷) of the same two powers is 5, what could the two powers be? How could you verify your answer?​

Answers

Answer:

if u get it pls tell me

Step-by-step explanation:

how many snakeman and red crows books were sold altogether

Answers

Hi! Could you please send a picture of the full problem? Thanks!

How much time will it take for a bug to travel 10 meters across the floor it is traveling at
a rate of 2 m/s?

Answers

Answer:

5 seconds

Step-by-step explanation:

First let's use the equation.

D (Distance) = Speed (s) x Time (t)

Now let's find the components given in the problem.

Distance = 10 meters

Speed = 2 m/s

Now let's substitute the values in.

10 = 2t

Now let's solve for t.

10 = 2t

t = [tex]\frac{10}{2}[/tex]

t = 5

Therefore, it will take 5 seconds.

Hope this helped! If not, please let me know! <3

PLEASE HELP THIS IS DUE IN 6 MinUTES

Answers

Bruh u gotta put the text

A local supermarket sells shrimp $9.49/lb and beef for $5.99/lb Todd buys s pounds of shrimp and b pounds of beef. Which of the following inequalities represents that Sandy only has $65 to spend?

Answers

Answer: 9.49s + 5.99b ≤ 65

Plz mark brainliest:)

Gcf of 16abc^2, 28abc

Answers

Answer:

4abc..............................

A 34-year-old woman has a maximum heart rate of 175 bpm. She plans an exercise program so that her heart rate will be between 80% and 90% of her maximum heart rate for at least 30 minutes a day, 3 days a week. Calculate the desired range of heart beats per minute for this exercise program

Answers

Answer:

The desired range is from 141 bpm to 157 bpm

Step-by-step explanation:

Given that the maximum heart rate = 175 bpm.

She plans an exercise program to reach the desired heart rate which is in the range of 80% and 90% of the maximum heart rate.

So, the lower limit of the desired heart rate = 80% of the maximum heart rate

=\frac{80}{100}\times 175= 140 bpm

and the upper limit of the desired heart rate = 90% of the maximum heart rate

=\frac{90}{100}\times 175= 157.5 bpm

So, mathematically, the desired range is between 140 bpm and 157.5 bpm.

The heart-beats per minute should be a counting number, so, round the upper limit to the lower integral value to be within the range.

Hence, the desired range is from 141 bpm to 157 bpm.

Write in slope-intercept form with the given information. Show all work. Passes through (-8,3) with a slope of -2

Answers

Answer:

y=-2x-13

Step-by-step explanation:

y=mx+b

3=-2(-8)+b

3=16+b

3-16=b

-13=b

If f(x) = 2x⁴- 3x² - 2x+5 and g(x)= x³ - 2x - 3, find the sum of polynomials f(x) and g(x) and hence state the order of the sum.

Answers

Answer:

2x⁴ + x³ - 3x² - 4x + 2

4

Step-by-step explanation:

Given functions:

     f(x) = 2x⁴ - 3x² - 2x + 5

     g(x)  = x³ - 2x - 3

Unknown:

Sum of the polynomials = ?

Order of the sum  = ?

Solution:

The sum of the polynomial is expressed as;

    f(x) + g(x) = 2x⁴ - 3x² - 2x + 5 +  x³ - 2x - 3

                   = 2x⁴ + x³ - 3x² - 2x - 2x + 5 -3

                   = 2x⁴ + x³ - 3x² - 4x + 2

The order of the sum is the highest power which 4.

This polynomial is of the 4th order.

Asking for the answer to this algebra problem please! Tysm!

Answers

Answer:

b

Step-by-step explanation:

i did the math

4x - 8 = 12
4x - 8 + 8 = 12 + 8
4x = 20
4/4x = 20/20
x=

Answers

Answer:

x=5

Step-by-step explanation:

If 4x=20 then all we need to do is to divide both sides by 4 and we get x=5. Also, if replace x with 5 within any of the equations it works.

Hope this helps!

The solution is: The value of x is: x=5

Here, we have,

given that,

the expression is: 4x - 8 = 12

we get,

4x - 8 = 12

or, 4x - 8 + 8 = 12 + 8

or, 4x = 20

now, we have,

If 4x=20 then all we need to do is to divide both sides by 4 and we get x=5.

i.e. 4x/4  = 20/4

or, x = 5

Also, if replace x with 5 within any of the equations it works.

Hence, The solution is: The value of x is: x=5

To learn more on Expression click:

brainly.com/question/14083225

#SPJ6

Rhombus ABCD with vertices A(2, 6), B(6, 7),
C(5, 3), and D(1, 2): 180°

Answers

Answer:

Step-by-step explanation:

Rule for the rotation of a point 180° about the origin is,

(x, y) → (-x, -y)

Therefore, images of the points after the rotation of 180° will be,

A(2, 6) → A'(-2, -6)

B(6, 7) → B'(-6, -7)

C(5, 3) → C'(-5, -3)

D(1, 2) → D'(-1, -2)

Now we can plot these points on the graph as attached.

4. Write the equation of a line that passes through the point (-8, 2) and is parallel to the
line 3x – 2y = 12.​

Answers

Answer:

3x - 2y = - 28

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3x - 2y = 12 ( subtract 3x from both sides )

- 2y = - 3x + 12 ( divide all terms by - 2 )

y = [tex]\frac{3}{2}[/tex] x - 6 ← in slope- intercept form

with slope m = [tex]\frac{3}{2}[/tex]

Parallel lines have equal slopes, thus

y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

To find c substitute (- 8, 2) into the partial equation

2 = - 12 + c ⇒ c = 2 + 12 = 14

y = [tex]\frac{3}{2}[/tex] x + 14 ← equation in slope- intercept form

Multiply through by 2

2y = 3x + 28  ( subtract 2y from both sides )

0 = 3x - 2y + 28 ( subtract 28 from both sides )

- 28 = 3x - 2y , that is

3x - 2y = - 28 ← equation in standard form

what are the factoris a^7+ab^6

Answers

Answer:

Step-by-step explanation:

a^6(a + b^6)

Please help me with this. This is my last one and when you are answering PLEASE SHOW STEPS FOR BRAINSLT. THIS IS DUE TOMORROW

Answers

X= -2

Explanation: the photos are in order :)

Answer:

x = -2

Step-by-step explanation:

3/5 +3/10x = 4/5 + 2/5x

Step 1. Change every fraction into the same denominator

6/10 + 3/10 x = 8/10 + 4/10x

Step 2. Subtract 3/10x

6/10 = 8/10 + 1/10x

Step 3. Subtract 8/10

-2/10 = 1/10x

x = -2

can someone PLEASE answer this​

Answers

the correct answer is the last one. hope this helped

Answer:

y = 3x+1

Step-by-step explanation:

Slope:

Change in y = 6

Change in x = 2

6/2=3

Y intercept:

when x is 0 y is 1, so the y intercept is 1

therefore the answer is y = 3x+1

what is the relationship between the radius and diameter of a circle?

Answers

The Radius is the distance from the center outwards. The Diameter goes straight across the circle, through the center.

The relationship between the radius and diameter of a circle is that the diameter is twice the length of the radius.

In other words, the diameter of a circle is equal to 2 times the radius. Mathematically, this relationship can be expressed as:

Diameter (D) = 2 * Radius (r)

This relationship is consistent for all circles. No matter the size of the circle, the diameter will always be exactly twice the length of the radius. The radius is the distance from the center of the circle to any point on the circle's circumference, while the diameter is the distance from one point on the circumference to another, passing through the center. Understanding this relationship is essential in various geometrical calculations and formulas involving circles.

To know more about diameter:

https://brainly.com/question/32968193


#SPJ6

This is it if you can’t solve it it’s fine!

Answers

Answer:

is 115

Step-by-step explanation:

i think since 7 checks equal 50, 14 must equal 100. and the other kid already had 15 dollars i think so that makes sense......... i think

Other Questions
The chemical reaction equation of photosyntesis is shown here:6CO2 + 6H2O C6H12O6What information is not given in this equation.A)It does not show if the reaction is reversible or not reversible.B)It does not show the reactants needed for the reaction.C)It does not show that photosynthesis consists of many separate steps.D)It does not show the number of molecules required to produce glucose. Which devices typically generate computer output?O monitor, printer, speaker, projector, keyboardO mouse, printer, speaker, projector, Braille embosserO monitor, webcam, speaker, projector, 3D printerO monitor, printer, speaker, projector, Braille embosser A 60.0-kg person rides in elevator while standing on a scale. The elevator is traveling downward butslowing down at a rate of 2.00 m/s2. The reading on the scale is closest to What is the correct 1 letter code for the amino acid sequence Glutamic Acid-Histadine-Tyrosine Select one: a. E-H-Y b. G-H-T c. Q-H-T d. E-H-T In paragraph 23, president Obama quoted Martin Luther kings I have a dream speech in which he said, I have a dream that my four little children will once day live in a nation where they will not be judged by the color of their skin, but by the content of their character. What does this quote mean miles say that, when a is any integer greater than 0, the value of a^-3 is always less than -a^3 because the exponent in a^-3 is less than the exponent in -a^3. is miles reasoning correct? What is the basic operation of a bank 2. What did Puritan ministers say about people who didn't agree with their teachings?They were pillars of the community.They were not Puritans.They were witches.They were a sinner in the eyes of God. heyyy so like hellpppp me out Which sentence from the text most strongly supports the inference that Jordi Puig is a man with great tact and diplomacy? Read this excerpt from White FangKiche licked White Fang soothingly with her tongue, and tried to prevail upon him to remain with her. But his curiosity was rampant, and several minutes laterhe was venturing forth on a new quest. He came upon one of the man-animals, Grey Beaver, who was squatting on his hams and doing something with sticksand dry moss spread before him on the ground. White Fang came near to him and watched. Grey Beaver made mouth-noises which White Fang interpreted asnot hostile, so he came still nearerWhat change in White Fang is presented in the excerpt?A. White Fang is beginning to feel aggressive toward the humans.B. White Fang is beginning to like living at the camp with his mother.OC. White Fang is beginning to develop better instincts about the humansD. White Fang is beginning to look for ways to free his mother.Mop If the leading coefficient is negative, always factor out the negative.-x^2+5x-6 What is the primary difference between a citizen and a non-citizen? A. Citizens can own vehicles; non-citizens cannot. B. Citizens have political rights; non-citizens do not. C. Citizens can go to school; non-citizens cannot. D. Citizens have lots of money; non-citizens do not. is muriatic acid a compound or not? Someone help me out please 5. What bone does not join with any other bone and is part of the axial skeleton? BRAINLIEST>>>>>>>>>>>>>>>>>>>>>>>>>>>>_____ is not a basic employability skill.MultiplicationCalculusSubtractionDivision i need some help thank you How many peremptory challenges" can a lawyer make in jury selection?a 5b. 10c. 15d. 20 1. What did the Federalists hope to achieve with the new constitution?2. What did the Antifederalists hope to achieve by opposing the Constitution?