Find two consecutive integers such that one fifth of the first less one-ninth of the second is 3. Pls answer.​

Answers

Answer 1

Answer:

35 and 36

Step-by-step explanation:

To solve this problem, we must interpret it line by line;

We are dealing with consecutive integers; these are integers with a difference of 1 between them.

   let the first number = x

               second number  = x + 1

one - fifth of first;

             [tex]\frac{1}{5}[/tex]x

  one - ninth of the second;

            [tex]\frac{1}{9}[/tex](x + 1)

for the "less" ;

         [tex]\frac{1}{5}[/tex]x -  [tex]\frac{1}{9}[/tex](x + 1) = 3

Multiply through by 45

       45([tex]\frac{1}{5}[/tex]x) - (45) [tex]\frac{1}{9}[/tex](x + 1) = 3 x 45

           9x - 5(x + 1) = 135

           9x - 5x -5 = 135

             4x = 135 + 5

              4x = 140

                x = 35

Now, x+1  = 35 + 1 = 36

The consecutive integers are 35 and 36


Related Questions

Dan has already written 27 pages,and he expects to write 1 page for every additional hour spent writing . After spending 21 hours writing this week ,how many pages will Dan have written in total ?

Answers

Answer:

48 pages total

Step-by-step explanation:

hope this helps

Siguiendo la ley de los signos ¿qué signo obtenemos al multiplicar dos signos iguales?


•Suma?
•Menos?
•Positivo?
•Negativo?

Answers

Answer: Si se multiplica un número positivo por uno negativo, el resultado tiene signo negativo. Si se multiplican dos números con signos iguales, el resultado tiene signo positivo

Step-by-step explanation:

Her friend comes to the rescue and brings 15 more cups of chocolate chips! How many more muffins will they be able to make with the additional chocolate chips?

Answers

Answer:

Not enough context.

Step-by-step explanation:

Please give us the full question. How many chocolate chips in a muffin?

Juliet prepares cupcakes for a party. The recipe calls for 21 tablespoons of flour, but she only has a teaspoon to measure the flour. She uses 3 teaspoons of flour for each 1 tablespoon in the recipe. At this rate how many teaspoons of flour are required to make the cupcakes?

Answers

Answer:

63 teaspoons

Step-by-step explanation:

if 3 teaspoons equals 1 tablespoon and you need 21 tablespoons of flour the 21X3=63 so it requires 63 teaspoon measures to make the cupcakes

Select all polynomials that have (x + 2) as a factor.
Choose all answers that apply:
A A(x) = x^3– 3x^2 – 10x
B B(x)= x^3+ 5x^2 + 4x
C C(x)= x^3 – 2x^2 – 13x – 10
D D(x) = x^3– 6x² + 11x- 6

Answers

Answer:

A. (x) = x^3– 3x^2 – 10xx) / (x - 5) x (x + 2) YES

B. (x)= x^3+ 5x^2 + 4x / x (x + 1) (x + 4) NO

C. (x)= x^3 – 2x^2 – 13x – 10 x / (x - 5) (x + 1) (x + 2) Yes

D. (x) = x^3– 6x² + 11x- 6 / x = (x - 3) (x - 2) (x - 1) NO

Step-by-step explanation:

The solution is:;

A. (x) = x^3– 3x^2 – 10xx) / (x - 5) x (x + 2)

C. (x)= x^3 – 2x^2 – 13x – 10 x / (x - 5) (x + 1) (x + 2),

are the polynomials that have (x + 2) as a factor.

What are Polynomials?

Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.

3x+2x-5, for example, is a polynomial.

EXPLANATION

We want to find which of the given polynomials has (x + 2) as a factor.

To do this, we have to equate (x + 2) to 0 and solve for x:

(x + 2) = 0

x = -2

Now, substitute that into each of the polynomials. If (x + 2) is a factor of a polynomial, the polynomial will become 0 after the substitution is made.

A. (x) = x^3– 3x^2 – 10xx) / (x - 5) x (x + 2) YES

B. (x)= x^3+ 5x^2 + 4x / x (x + 1) (x + 4) NO

C. (x)= x^3 – 2x^2 – 13x – 10 x / (x - 5) (x + 1) (x + 2) Yes

D. (x) = x^3– 6x² + 11x- 6 / x = (x - 3) (x - 2) (x - 1) NO

Hence, The solution is:;

A. (x) = x^3– 3x^2 – 10xx) / (x - 5) x (x + 2)

C. (x)= x^3 – 2x^2 – 13x – 10 x / (x - 5) (x + 1) (x + 2),

are the polynomials that have (x + 2) as a factor.

Know more about Polynomials here:

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A man starts out on a trip driving his car at a constant rate of 48 mph. A man riding a motorcycle starts out on the same route 1.5 hours later, traveling at a constant rate of 64 mph. How long will the car have been traveling when the motorcycle catches up?

Answers

Answer:

6 hours

Step-by-step explanation:

Mrs. Wright sold t-shirts for $12.00, which was a 30% markup from what she paid for each. How much did Mrs. Wright pay for each t-shirt originally? (remember to round to the nearest hundredth so it looks like money

Answers

Answer:

She originally paid $3.60

Step-by-step explanation:

She originally paid for them $3.60 before the markup of 30%.

We can use this equation [tex]12 x 0.3 = 3.60[/tex] to confirm our answer. We also add a zero at the end because we are using units of money.

If f(x) = 2x - 3, find f(-2).

Answers

Answer:

0.5

Step-by-step explanation:

-2 = 2x - 3

1 = 2x

0.5 = x

Answer:

f(x) = -7

Step-by-step explanation:

f(x) = 2x - 3 turs into

f(x) = 2 x -2 - 3

f(x) = -4 - 3

f(x) = -7

1. Miles and Simon do chores to earn an allowance from their parents. Miles has $120 saved and gets a $10 allowance per week. His brother Simon has $75 saved but he does more chores so he gets $15 a week. What is the solution and how did you find it?

How long will it take for them both to have the same amount saved?

How much will they both have when they have the same amount?

Answers

Answer:

120 +10w = 75 + 15w, w=weeks, found by adding savings to rate times and unknown variable of weeks and setting equal to each other. 9 wks, $210

Step-by-step explanation:

120 +10w = 75 + 15w

120-75= - 10w+15w

45=5w

45/5=9

9 weeks

120 + 90 = 75 + 135

210= 210

answer this question

will give brainliest

Which of the following is the name for a substance made of two or more types of atoms that are not chemically bonded together? (2 points)
Compound
Mixture
Solute
Molecule

(who wants to talk and whatever)

Answers

I think compound I have no idea

Answer:

the correct answer i think is mixture

Step-by-step explanation:

HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!

Answers

Since lmnp is on the y side, of you add 6+3 it gives you 9

Answer:

see below

Step-by-step explanation:

shape LNMP is :

translated as 0,-7flip of mirrored along y-axisreflected imaged is ABCD as given

Noah walks to school from home by going 7 blocks north, to a post office, and then 24 blocks east. Noah's home, point H, is at (0,0); the post office, point P, is at (0,7); and the school, point S, is at (24,7). If Noah then walks home using the direct path, what would be the total distance Noah traveled to school and back home?

Answers

Answer:

25

Step-by-step explanation:

The total distance Noah traveled to school and back home will be Noah's displacement. Displacement of Noah can be gotten using Pythagoras theorem.

d² = y²+x²

Direction through north (along y-axis)

Direction through east (along x-axis)

Given

y = 7units

x = 24units

Substitute

d² = 24²+7²

d² = 576+49

d² = 625

d = √625

d = 25 units

Hence the total distance Noah traveled to school and back home is 25blocks from post office

in which of these situations do the quantities combine to make 0? A. A dolphin swims 20 feet straight down from the surface. It then rises 20 feet to return to the surface. B. Scott earns $20 at his family's garage sale. He then earns $20 walking dogs for his neighbors. C. Travis receives $10 from a friend to pay for a concert ticket. He then spends $20 on tickets for his friend and himself. D. A scuba diver drops 30 feet below sea level. He then swims 30 feet across the ocean floor.​

Answers

Answer:

A. A dolphin swims 20 feet straight down from the surface. It then rises 20 feet to return to the surface.

Step-by-step explanation:

It goes down 20 then up 20

-20 + 20 = 0

Answer:

Answer A

Step-by-step explanation:

This is the correct option as you are going feet down and then 20 feet back up. So basically, an equation that would represent this is -20+20=0.

answer the questions lots of points

Answers

Answer:

Radius is half of diameter; the distance around a circle.

Step-by-step explanation:

Answer:

Radius is half of diameter  the distance around a circle

twice the number is equal to 15 more than 5 times the number. What is the number

Answers

Answer:

35 answer

Step-by-step explanation:

I hope it help

-x + 7 <10
Solving inequalities

Answers

Answer:

x>-3

Step-by-step explanation:

−x+7<10

Step 1: Subtract 7 from both sides.

−x+7−7<10−7

−x<3

Step 2: Divide both sides by -1.

−x−1<3-1

x>−3

Can's box of chocolates is a rectangular prism. The dimensions are 10 inches by 5 inches by 8 inchesEach chocolate in the box is 2 inches by 2 inches by 2 inches. How many chocolates are in Cam's box

Answers

Answer:

I think 50 (not too sure)

Step-by-step explanation:

First find the volume of the Chocolate Box which is 400. (10 · 5 · 8)

Then find the volume of each chocolate which is 8. (2 ·2 ·2)

Then divide 400 by 8 to see how many chocolates can fit.

400 ÷ 8 = 50

And that's how I got the answer! Hope that helped! <3

In a lab, a substance was heated by 48 Degrees Celsius over a period of 8 hours at a constant rate. what was the change in temperature each hour?​

Answers

Answer: The change in temperature each hour was 6 degrees celsius.

Step-by-step explanation: 48 divided by 8 = 6

Pls help question is in the pic. Please give a right answer thx :D

Answers

Answer:

61.2

Step-by-step explanation:

Pens cost $0.20 each. Pencils cost $0.15 each. Write an algebraic expression that represents the total cost of buying p pens and n pencils. (Will give brainliest if correct)

Answers

Answer:

y=0.20p + 0.15n

Step-by-step explanation:

I believe this is correct I am 90% positive that it is right.

The algebraic expression will be C = 0.20 p + 0.15 n

It is given that a pen cost $0.20 and a pencil cost $0.15.

We have to give expression for total cost of p pens and n pencils.

What will be the value if 2 times of x is added to x ?

The value will be 3x.

Cost of 1 pen = $0.20

Cost of p pens will be ;

= 0.20 p

Cost of 1 pencil = $0.15

Cost of n pencils = 0.15 n

If total cost is represented by C then ;

C =  0.20 p + 0.15 n

Thus , the algebraic expression will be C = 0.20 p + 0.15 n

To learn more about algebraic expressions click here ;

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whats is 183x194??????????

Answers

183 x 194 = 35,502

you could use a calculator or put it into the overlap form

Answer:

35502

Step-by-step explanation:

The product will be 35502, 183x100+183x90+183x4=18300+16500+732=35502. Hope it helps!

I dont get the question​

Answers

its asking how many points on the graph you need to move down and to the left or right to make the orange shape line up with the purple shape

5. A car travels at a speed of 72 miles per hour. Write a direct variation equation for the distance, y, the car will travel in x hours. How far will the car travels in 4.5 hours?​

Answers

Answer:

 y  = 72x

324miles

Step-by-step explanation:

Given parameters:

      Speed of the car = 72miles/hr

       distance  = y

        time  = xhrs

Unknown:

Write a direct variation equation for the distance=  ?

Distance covered in 4.5hrs =?

Solution:

A. Write a direct variation equation for the distance;

    A direct variation is a linear equation.

   It often takes the form y = kx

   

For this problem;

      Distance  = speed x time

input the parameters;

      y  = 72x

The direct variation equation is  y  = 72x

B. Distance traveled in 4.5hrs

   y  = 72x

  x is the time taken;

  So;

        y  = 72 x 4.5  = 324miles

Finance Application. Tony earned $8.25 per hour at his after school job. Each week he earned $80. Write and solve an equation to show how many hours he worked each week.​

Answers

Answer:

  9.6969 hours

Step-by-step explanation:

8.25x = 80

x = 9.6969 hours

If the perimeter of a
square is 60 feet, what is
the area of the square?

Answers

Answer:

225 ft I believe  

Step-by-step explanation:

Answer:

225

Step-by-step explanation:

Well, the formula for perimeter is simply 2 times length + 2 times width. In the case of our square, this would simply be 2x+2x (since length = width), or 4x . Therefore, if given an area, all you'd do is take the square root (to get from x2 to x , and then multiply by 4 to find perimeter.

Will mark brainliest if correct!!!
(Evaluate 3 + 11t - 9u when t = 9 and u = 11)

Answers

Answer:

the answer is 3

Step-by-step explanation:

3 plus 99 minus 99

Answer:

3

Step-by-step explanation:

11 x 9=99

9x11=99

99+3=102

102-99=3

PLEASE HELP!! Please show me work also!

Answers

There isn’t a picture, what’s the question?

PLEASE HELP QUICKLY! 30 POINTS AND WILL MARK BRAINLIEST.

Write a recursive formula for the sequence.
6, 17, 28, 39, 50, ...

A. f(1)-6; f(n)=f(n-1)+11
B: f(1)=6; f(n)=6*f(n-1)+11
C. f(1)=6; f(n)=f(n-1)+6
D. f(1)=6; f(n)=11*f(n-1)

Answers

Answer:

C. f(1)=6; f(n)=f(n-1)+6

Step-by-step explanation:

If 2KL=KL+MN, then KL=MN

Choose the definition, theorem, or postulate that justifies the statement.

A. Subtraction Property of Equality
B. Definition of Midpoint
C. Segment Addition Postulate
D. Symmetric Property (of= or≅)
E. Reflexive Property (of= or≅)
F. Transitive Property (of= or≅)
G. Definition of Congruence
H. Substitution Property
I. Addition Property of Equality
J. Multiplication Property of Equality
K. Division Property of Equality

Answers

Answer:

a. subtraction property of equality

Step-by-step explanation:

What is the decimal equivalent of 23/9
A. 25
B. 0.39
C. 2.39
D. 2.55

Answers

2.55

To find a decimal you need to divide y and x (y/x)  

What I did was I divided 23/9 and got 2.55555555556. And 2.55 is closest to 2.55555555556.

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