Two positive numbers have a difference of 8. The larger number is two more than twice the smaller. Find the two numbers

Answers

Answer 1
Answer:   6 & 14

Step-by-step explanation:

Let the bigger number be 'p' and the smaller number 'p'.

Since the numbers have a difference of 8, then  p - q = 8

& since the larger number is two more than twice the smaller, then

                                                                                                        p = 2q + 2

⇒   (2q + 2) - q = 8                       [by substituting for equation for p]

                     q = 6

Since q = 6,

⇒  p - 6 = 8

          p = 14

∴ the smaller number is 6 and the bigger 14


Related Questions

state the gradient and the y-axis intercept of
y=3x+7

Answers

Step-by-step explanation:

the slope (or gradient) of a line is the factor of x.

in our case here : 3

it is expressed as ratio y/x and represents the amount of units y changes (and via the sign in what direction), when x changes a certain amount of units (again, via the sign in what direction). like when going from a point 1 to a point 2.

so, here we have 3 = 3/1, and that means, when x changes by 1 unit to the right (positive), y changes 3 units up (positive).

the y-axis intercept is simply the point, where x = 0. clearly, any point with the x coordinate being unequal to 0 cannot be on the y axis.

so, here

y = 3×0 + 7 = 7

=>

the y-axis intercept point is (0, 7).

PLEASE HELP

Given f(x) = x^2 – 5x + k, and the remainder when f(x) is
divided by x - 7 is 34, then what is the value of k?

Answers

Step-by-step explanation:

f(7) = 34

7² -5(7) +k = 34

49-35+k =34

14+k = 34

k = 34-14

k = 20

>> Answer

__________

[tex] \: [/tex]

f(x) = x² - 5x + k

f(7) = 34

Soo :

f(7) = 34

(7)² - 5(7) + k = 34

49 - 35 + k = 34

14 + k = 34

k = 34 - 14

k = 20

convert 11/15 to a repeating decimal

Answers

Answer: 11/15 as a decimal is 0.73333333333333.

Step-by-step explanation:

Please help provide the product in standard form !!

Answers

Answer:

x^3+4x^2+5x+2

Step-by-step explanation:

Pls answer ASAP timed assignment

Answers

Answer:

C) Point B is a reflection of point A along the Y-Axis

Step-by-step explanation:

I plotted it on a graph, and it turned out to be an exact mirror reflection.

Hope This Helped!

11=-5x-2 plzzzzzzzzzz help...

Answers

Answer:

-5x-2=11

+2

-5x=9

÷-5

x=1.8

Step-by-step explanation:

Answer:

x = -2.6

or x=-2 and 3/5

Step-by-step explanation:

Simplifying

11 = -5x + -2

Reorder the terms:

11 = -2 + -5x

Solving

11 = -2 + -5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5x' to each side of the equation.

11 + 5x = -2 + -5x + 5x

Combine like terms: -5x + 5x = 0

11 + 5x = -2 + 0

11 + 5x = -2

Add '-11' to each side of the equation.

11 + -11 + 5x = -2 + -11

Combine like terms: 11 + -11 = 0

0 + 5x = -2 + -11

5x = -2 + -11

Combine like terms: -2 + -11 = -13

5x = -13

Divide each side by '5'.

x = -2.6

Simplifying

x = -2.6

What is the rate of change of the function represented by the table?

x
y
1
–8.5
2
–6
3
–3.5
4
–1
–2.5
–1
1
2.5

Answers

Answer:

Skip this answer.

Just guess one of the answers

Step-by-step explanation:

A store is instructed by corporate headquarters to put a markup of ​67% on all items. An item costing ​12$ is displayed by the store manager at a selling price of ​8$. As an​ employee, you notice that this selling price is incorrect. Find the correct selling price. What was the​ manager's likely​ error?

please help me in really stuck you would be a huge help

Answers

Answer:

Step-by-step explanation:

12$ = original price (need to add 67% mark up)

12/100 = 0.12 = 1%

0.12 x 67 = $8.04 markup

12 + 8.04 = $20.04 is the correct selling price

the error was accidently not adding the markup ($8.04) to the original price

(8,-2) after a translation right 5 units and up 2 units?
Whats the answer

Answers

Answer:

(13,0)

translation:

[tex]( \frac{5}{2} )[/tex]

(3x + 2) to the power of 2(i didnt know how to put that on keybored)

Answers

[tex](3x)^{2} +2*3x*2+2^{2} \\3^{2} x^{2} +2*3x*2*2^{2} \\9x^{2} +2*3x*2+2^{2} \\9x^{2} +2*3x*2+4\\9x^{2} x^{2} +12x+4[/tex]

HELP PLEASEEEE ASAP !

Answers

Answer:

x = 57

Step-by-step explanation:

x and 57 are alternate interior angles and alternate interior angles are equal when the lines are parallel

x = 57

Can you help me please. ​

Answers

Answer:

can you take a better photo?

Step-by-step explanation:

Full view of the picture please

En un aeropuerto dos aviones A1 y A1 se acercan para aterrizar, si la ecuación de la trayectoria del primero es -x+2y-100=0, mientras que la ecuación de la trayectoria del segundo es de –x+200 +2y, determina si existe el riesgo de que sufran un choque entre ellos.

Answers

No hay solución en la que ambas trayectorias estén en la misma posición, puesto que no existe el riesgo de que sufran un choque entre ellos.

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

La trayectoria del primero es:

[tex]-x + 2y - 100 = 0[/tex]

[tex]x_1 = 2y - 100[/tex]

Para el segundo, tiene-se que:

[tex]-x + 200 + 2y = 0[/tex]

[tex]x_2 = 2y + 200[/tex]

Igualando los valores de x:

[tex]x_1 = x_2[/tex]

[tex]2y - 100 = 2y + 200[/tex]

[tex]0y = 300[/tex]

No hay solución en la que ambas trayectorias estén en la misma posición, puesto que no existe el riesgo de que sufran un choque entre ellos.

Un problema similar es dado en https://brainly.com/question/24653364

Can someone pls help me out

Answers

Answer:

option a. similar;AA similarity; triangle plm

PLEASE HELP I"M ON A TIMER!!!!!!
Δ RST ≅ ΔLMN
What are the values of m∠R and LM?
Enter your answers in the boxes.
I will mark BRAINLIEST!!!

Answers

Answer:

R=30 degrees Lm=6(square root of 3)

Step-by-step explanation:

R=L

LM=SR

leni can decorate the room in 4 hours. her sister lucy do the same jobin 3 hours working together, how long will take them to finish the job

Answers

Fractions are integers that have both a numerator and a denominator. They are represented as; [tex]\frac{x}{y}[/tex]

Where:

x = Numerator

y = Denominator.

It will take them both [tex]\frac{7}{12}[/tex] hours or 0.583 hours to finish the job together.

To solve the above question, we would be applying the operations of the addition of fractions.

From the question,

Leni can decorate the room in 4 hours. This means in 1 hour, Leni can paint 1/4 of the room.

Lucy, her sister can decorate the room in 3 hours. This means in 1 hour, lucy can decorate 1/3 of the room.

Let us represent the number of hours it will take them both to decorate the room working together as "T"

Hence,

1/T = 1/4 + 1/3

Lowest Common Denominator for (3, 4 ) = 12

Hence,

1/T = 3 + 4 / 12

1/T = 7/12

Find the reciprocal of both sides

T = 7/12 hours or can be expressed in decimals as 0.583 hours.

Therefore, it will take them both [tex]\frac{7}{12}[/tex] hours or 0.583 hours to finish the job together.

To learn more, visit the link below;

https://brainly.com/question/13652749

what is the degree of polynomial ? f(x)=(x+6) (x_3) power of 2​

Answers

Answer:

the degree = 4

Step-by-step explanation:

[(x+6)(x-3)]²

= x⁴+6x³-27x²-108x+324

Juan graphed a line with a slope of -23
How does Juan count the slope from any point on the graph?

a. From any point on the graph, he counts down 2 then right 3 to end up on the line again.

b. From any point on the graph, he counts up 2 then right 3 to end up on the line again

c. From any point on the graph, he counts down 2 then left 3 to end up on the line again.

d. I don't know.

Answers

Answer:

a. From any point on the graph, he counts down 2 then right 3 to end up on the line again.

Step-by-step explanation:

The slope is -2/3.

-2/3 = 2/-3

slope = rise/run

rise/run = -2/3

Count down 2 and right 3.

rise/run = 2/-3

Count up 2 and left 3

Answer: a. From any point on the graph, he counts down 2 then right 3 to end up on the line again.

solve this table
will give brainliest​

Answers

Answer:

For linear function, top to bottom, it's:

f(x)

b

a

x

For mathematical meaning, top to bottom, it's:

output value of an equation

y-intercept

slope or common difference

input value of an equation

Step-by-step explanation:

What is 97 divided by 80257

Answers

0.00120862! Hope this helps.

I need help on this math it’s 7th grade

Answers

Answer:

4 times as long

Step-by-step explanation:

If im wrong, delete this.

Answer:

The wavelength of red light is 2 times longer than the wavelength of violet light.

Step-by-step explanation:

8 times 10^-7 written in standard form is 0.0000008

4 times 10^-7 written in standard form is 0.0000004

divide both of them:

=2

A function has zeros at -5, 1, and 3.,
f(-7), f(-3), and (4) are negative. f(2) is
positive. Sketch a graph of f.

Answers

Answer:

Step-by-step explanation:

Haa

Which benchmark fraction is 6/7 closest to PLZ HELP

Answers

Closer to 1 because it’s nearly a 7/7 which is also known as 1.

What is 1/10=4/5y ?????

Answers

Answer:

y = 1/8

Step-by-step explanation:

Divide both sides by 4/5, 1/10 divided by 4/5; 4/5y divided by 4/5. In 4/5y divided by 4/5, the two 4/5s cancels out, leaving y alone. 1/10 divided by 4/5 equals to 1/8. Now you have, 1/8 = y, which is the same thing as y = 1/8. Therefore, the value of y is 1/8.

Answer: 1/8

Step-by-step explanation:

4/5y=1/10

*multiply both sides by 5, and you'll get

4y=1/2

*divide both sides by 4

y=1/8

this question is bothering me help

Answers

Answer:

the First, third, and fifth

Step-by-step explanation:

Since one half of 12 is 6, then those three expressions will be the same since they have the same answer

Square root of 15 rounded to the nearest tenth

Answers

Answer:

3.9

√15=3.87298334... so rounded to the tenth is 3.9

Matthew is taking a multiple choice test with a total of 40 points available. Each question is worth exactly 2 points. What would be Matthew's test score (out of 40) if he got 9 questions wrong? What would be his score if he got xx questions wrong?

Answers

Answer:

22 points

Step-by-step explanation:

If their are fourty points avaliable and each question is worth two points, then there are a total of twenty questions (20 times 2 is 40). Therefore, if he gets nine questions wrong, he would have gotten 11 right. Because we know that each question is two points, we may just multiply 11 by 2, which means he has gotten a score of 22 points!

Antonio works as a furniture salesman and earns a bace salasry of 450$ per week plus 6% commision on sales. What was antonios weekly commission if his total sales was 3750?

Answers

Answer:

$ 198

Step-by-step explanation:

450 + 0.06x = 3750

0.06x = 3750 - 450

x = (3300 * 0.06) = 198

x = 198

What is the distance between point A(−1, 3) and point B(−8, 3) ?

2 units

5 units

7 units

9 units

Answers

Answer:

7 units

Step-by-step explanation:

Answer:

7 units

Step-by-step explanation:

d = √(x2-x1)²+(y2-y2)

d = √((-8-(-1)² - (3-3)²

d = √ (-7)²-0

d = √49

d = 7 units

y=2x =2 and y2= 4x+4

Answers

Answer:

x=−2

y=−4

y²  =−2

Step-by-step explanation:

Im going to assume youre saying to compare the two

if so, then theyre the same equation/line

2y =4x +4 is the same y = 2x + 2 since 2y = 4x + 4 is just y=2x+2 but everything is multiplied by 2

hope this helps :)

Other Questions
how did lonnie johnson's accomplishments impact the general public The midpoint of a segment is 19,5) and one of the endpoints is (13,81 What are the coordinates of the otherendpoint La semana pasada tuve(_________) A.clear B. unclear la oportunidad de asistir a algo nuevo....la Tomantina. 27 is 76% of what number? need help with this !!! An uber charges a flat rate of $6 plus $1.25 per mile. Kayla can spend no more than $27.50. If she wants to tip her driver $4, what is the greatest number of miles she can uber? There are three species of birds on an island. Bird A has a heavy bill for eating seeds.Bird B has a pointed bill for eating insects. Bird C has a sharp bill for eating both insectsand seeds. If all insects on the island suddenly disappeared, which bird or birds wouldbe the LEAST affected?Please help T ____ los juegos de mesa durante los fines de semana?a. juego b. jugamos c. juegas d. juegafill in the blank How did kongolese get slaves for the Portuguese ? 1 The 14 members of the baseball team are going to stop at an ice cream shop after the game. The ice cream shop has a special treat that has 2 scoops of Blue Moon, 3 scoops of Superman, 8 cherries and 1 cup of whipped cream. They are all going to get the same treat. How much of each ingredient will be needed for all of the treats. Use distributive property to set up your problem then solve. Write the other side of this equation so that this equation istrue for ALL values of u.6(u - 2)+2= Para preparar una sopa de vegetales, pongo todos los ingredientes en la olla, los _____ bien y pongo la olla en la estufa para cocinar. :) ur thoughts on this??? High blood pressure is a common and dangerous condition affecting about 75 million people in the United States. It is known as the "silent killer" because many people don't know they have it. This contributes to the disease being the second leading cause of death of Americans. Which of the following lifestyles would increase the risk of high blood pressure?Group of answer choices:Living a calm sedentary lifestyle on an island that is hit by an occasional hurricane.Losing weight after childbirth.Attending water aerobics class 4 times a year.Eating meals that include fruits, vegetables and grains. Once simplified, which of the expressions below is equal to 2x+8? Select all that apply.A) 4(2x+8)B) 2(x+4)C) 3(3x+5)7x7D) 6x44x+4 Hi Giving away BRAINLIEST and 100 points of you give me BRAINLIEST Carla e dona de um supermercado e para facilitar o processo no caixa resolveu montar uma expresso algbrica para melhorar o processo de pagamento. What is the equation of the circle shown in the graph?xy108642x-6 -4 22-22 4 6 8 106-8-10 how do they say hello and 1, 2, 3, 4, 5, 6, 7, 8, 9 10 in Chinese 4The area that is circled is called the . The Ottoman Empire is located at . Austria-Hungary is located south of and west of .