The sum of two consecutive integers is two more than the third integer. Find the integers

Answers

Answer 1

Answer:

              3, 4, 5

Step-by-step explanation:

x        - the first integer

x+1   - the next integer consecutive to x (the second consecutive integer)

x + x+1    - the sum of two consecutive integers

x+1+1=x+2 - the integer consecutive to x+1 (the third consecutive integer)

x+2 + 2  - two more than the third integer

x + x+1  = x+2 + 2

2x + 1 = x + 4

x + 1 = 4

 x = 3

x+1 = 3+1 = 4

x+2 = 3+2 = 5


Related Questions

What is the value of the expression - 13 x (-1.6)?​

Answers

Answer:

20.8

Step-by-step explanation:

Find the midpoint of the segment with the following endpoints.
(7, -2) (1, -10)

Answers

Answer:

(4, -6)

Step-by-step explanation:

The formula of a midpoint of the segment AB:

[tex]M_{AB}\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right)[/tex]

We have A(7, -2) and B(1, -10). Substitute:

[tex]M_{AB}\left(\dfrac{7+1}{2};\ \dfrac{-2+(-10)}{2}\right)\\\\M_{AB}\left(\dfrac{8}{2};\ \dfrac{-12}{2}\right)\\\\M_{AB}(4;\ -6)[/tex]

Midpoint = average of x and y
(7+1)/2 x value = 4
(-2+ -10)/2 y value = -6
Midpoint (4, -6)

How much times longer is Jupiter’s orbit than earth’s orbit?

Answers

Answer:

Jupiter's orbit is 5 times longer than earths

Step-by-step explanation:

Given that ( x – 3 ) is a factor of the polynomial x3 + 2x2 – 11x - 12, complete the following:

a) Completely factor the polynomial using polynomial long division or synthetic polynomial division. You must show all your work to receive credit. (7 pts)

b) What are the zeros of the polynomial? Show any work necessary in solving.

Answers

Answer:

(x+3)⋅(x−1)⋅(x−4)

Step-by-step explanation:

hope this helps

What is the slope of y=-x+7y?

Answers

Answer:

The slope of y=-x+7y is m = - 1.

Step-by-step explanation:

y = m x + c

The intercept is (0,7) | constant term.

The slope is m=1/6.

a) Caesar, a leader of Rome, was born in 25 B.C.E. (before the year 0) and died in the
year 44. How old was he when he died?

Answers

Answer:

55

Step-by-step explanation:

hshshshhdhshshhshshsjjs

(this is english but more people are on math i think) what are two ways to introduce textual evidence??

Answers

[tex]I\;would\;say\;one\;way\;do\;it\;is\;like\;this...\\\\"He's\;not\;very\;brave\;after\;all"\;\;(Page\;12)\\\\Another\;way\;to\;do\;it\;is\;like\;this...\\\\According\;to\;the\;authour\;the\;man\;couldn't\;face\;his\;fear\;of\;heights. \;\;(Pg\;13)[/tex]

X varies directly as the cube root of y .x=6when y=8.Find the value of x when y=64.

Answers

Answer:

The value of x is 12.

Step-by-step explanation:

Given that x is directly proportional to y so the expression will be x = k (³y) where k is the constant. First, you have to find the value of k :

[tex]x = k \: (\sqrt[3]{y} )[/tex]

[tex]let \: x = 6,y = 8[/tex]

[tex]6 = k \: (\sqrt[3]{8} )[/tex]

[tex]6 = k(2)[/tex]

[tex]k = 3[/tex]

Next, you have to find the value of x, by substituting y = 64 into the expression :

[tex]x = 3 \: ( \sqrt[3]{y} )[/tex]

[tex]x = 3( \sqrt[3]{64} )[/tex]

[tex]x = 3(4)[/tex]

[tex]x = 12[/tex]

CAN SOMEONE GIVE ME THE STEPS I HAVE THE ANSWERS I JUST NEED THE STEPS

Answers

Problem 1:

1) 3/5x-1 x 3/4=9/10

3x/5-1 x 3/4=9/10

2) 3x/5-1 x 3/4=9/10

3x/5-3/4=9/10

3) 3x/5-3/4=9/10

+3/4 +3/4

4) 3x/5=33/20

5) 5 x 3x/5= 5 x (33/20)

6) 3x=33/4

7) 3x=33/4

/3 /3

8) x=11/4

Problem 2:

1) 6/7+2/5x=-4/5

6/7+2x/5=-4/5

2) 6/7+2x/5=-4/5

-6/7 -6/7

3) 2x/5= --58/35

4) 5 x 2x/5= 5 x (--58/35)

5) 2x= --58/7

6) 2x= --58/7

/2 /2

x= --29/7

penny reads 10 pages in 1/2
hour. What is the unit rate for pages per​ hour? For hours per​ page?

Answers

Answer:

she would read 20 pages in 1 whole hour

PLSSSSSSS HELP PLSSSSSSSSSS HELPP

Answers

Answer:

I will solve each one and work from there:

A. 4(5-y) ≥80

     20-2y≥80

      -2y≥60

        y≥-30

B. 2(y-3) ≥ 8

    2y-6≥8

     2y≥14

     y≥7

c. 3y-4>1

   3y>5

     y>5/3

d.  -3/4 / 6y>1/4

      -3/4>1/4 x 6y

     

Notice how for each inequality it is y≥ or > abc

Although for d it is a number greater than 1/4 x 6y

Based off that i would assume that D is correct

Step-by-step explanation:

helppppppppppppppppppppppppppp meeeeeeeeee plzzzzzzzzzzzzzzzz

Answers

Answer:

thr answer is 6(2n-3) this is rhe answer

2. Function C takes time for its input and gives a student's Monday class for its output.
a. Use function notation to represent: A student has English at 10:00.
b. Write a statement to describe the meaning of C(11:15) = chemistry.

Answers

Answer:

We know that C(T) is a function where you input the time T, and the output will be the student's Monday class.

a) A student has English at 10:00.

Here we can use T = 10:00 as the input, and the output will be the class, English.

Then this can represent this with:

C(10:00) = English.

b) Write a statement to describe the meaning of C(11:15) = chemistry.

for C(11:15) = Chemistry

The input, the time, is 11:15

The output, the class, is chemistry.

The student has a chemistry class at 11:15

round 8.923 to the nearest half

Answers

Answer:

The answer is 8.9

PLEASE MARK BRAINLIEST

Answer:

8.9

Step-by-step explanation:

I need some help and fast
Solve this plz

Answers

Answer:

It could be or 70 or 78

Step-by-step explanation:

Answer:

there the same they are both 84

Step-by-step explanation:

Find the value of y.

Answers

Answer:

y = -1

Step-by-step explanation:

It´s an equilateral triangle

then:

2y + 6 = 4

2y = 4 - 6

2y = -2

y = -2/2

y = -1

Check:

2*-1  + 6 = 4

-2 + 6 = 4

Anna is testing different weights of certain things. The bucket she is holding that is full of water weighs 5lbs. Anna weighs herself and she is 97 pounds. She then drinks all of the water out of the bucket and then weighs herself again. Now she weighs 104 pounds. If the bucket of water she held was only 5 pounds, how did Anna gain 7 pounds from drinking the water out of it?


__________________________________________________

Answers

Answer:

Anna drank the water and holding the bucket, which weights 2 pounds, so:

97 + 5 + 2 = 104 pounds

Answer:

104 lbs.

Step-by-step explanation:

Anna's self  weight     = 97

Anna drank the water = 5

bucket weights            = 2      

                        total     = 104 lbs.

Add, subtract, multiply, or divide. Can someone help me please.​

Answers

Number 7 is subtract

7:  8+(-4)=-2

8:  -7+2=-5

9:  -11-7=-18

10:  12÷(-6)=-2

11:   -9×(-3)=27

12:  4-(-3)=7

13:  -45÷9=-5

14:   6×(-3)=-18

Kate stands 2 meters from a lamppost. She is 2.1 meters tall and casts a shadow 3 meters long in the light from the lamp. How tall is the lamppost? See diagram below.​

Answers

Answer:

3.5 meters.

Step-by-step explanation:

Please refer to the attachment.

Since the two triangles share two congruent angles, by AA Similarity, the two triangles are similar.

Therefore, we can write the following proportion:

[tex]\frac{3}{5}=\frac{2.1}{x}[/tex]

To find the height of the lamppost x, we will simply have to solve for x.

So, let’s cross-multiply:

[tex]10.5=3x[/tex]

Divide both sides by 3:

[tex]x=10.5/3=3.5[/tex]

Hence, the height of the lamppost is 3.5 meters.

2 1/2 + 3 5/8

Add the fractions

Answers

Answer:

This equals 6 1/8

Step-by-step explanation:

Hope it helps!

Answer:

6 1/8

2 1/2 becomes 5/2 then you multiply the numerator and denominator by 4

after that it becomes 20/8 than you make 3 5/8 into 29/8 and add them together which makes 49/8 but when you simplify it becomes 6 1/8

Can somebody help with Grade7math ? It’s like about dividing integers...

Answers

Answer:

I would but I suck at math.

Step-by-step explanation:

I'll help you out with the giver later. lol

hi pls help :))))))))

Answers

Answer:

The last one

Step-by-step explanation:

It’s d my dude and have a good day

QUICK I REALLY NEED HELP

When playing a game, Noahs last 5 points in the last 3 turns. show how to use integers to determine the change in his score​

Answers

Answer:

-5

Step-by-step explanation: Yeah i think its -5

At a winter concert, the ratio of the number of boys to the number of girls is 3:8. if there are 250 more girls than boys, how many
boys are at the concert?​

Answers

Answer:

150

Step-by-step explanation:

if 3:8 , that means the difference is 5. the difference is 250, so 250/5 =50.

then u multiply 3 by 50 and get 150. ur welcome man

Tarek will spend at most $31 on gifts. So far, he has spent $16. What are the possible additional amounts he will spend?
Use c for the additional amount (in dollars) Tarek will spend.
Write your answer as an inequality solved for c.

Answers

Answer:

c<$15

Step-by-step explanation:

$31-$16>c

$15>c

c<$15

Alexa has $60 already saved and her sister Susan has $120 already saved. Alexa is saving $7 per week and her sister is saving $5 per week. How long will it be before Alexa and her sister have the same amount of money? Write an equation and solve.
Step 1: Define your variable

Step 2: Write an equation.

Step 3: Solve your equation.

Step 4: Check your solution.

Step 5: Write a summary statement explaining your solution in the context of the problem..
Plz help mee

Answers

Step 1:

The variable is the number of weeks needed to equalize Alexa and her sisters savings.

Step 2:

7x + 60 = 5x + 120

Step 3:

7x+60=5x+120

Subtract 60 from both sides.

7x+(60-60)=5x+(120-60)

7x=5x+60

Subtract 5x from both sides

7x-5x=5x+60-5x

2x=60

Divide both sides by 2.

2x/2 = 60/2

x=30

Step 4:

7(30) + 60 = 5(30)+ 120

210+60=150+120

270 = 270

Step 5:

To find the unknown amount of weeks, you need to rewrite the equation isolate x on the left-hand side of the equation. I just subtracting/simplified the equation until I could solve it.

(tbh got stuck on this one)

Find the value of x. *


Please help me.

Answers

Answer:

x=50

Step-by-step explanation

The two angles add up to 180, so 2x+4+76 = 180

2x+80=180

2x=100

x=50

PLEASE ANSWER NUMBER 2 3 AND 4 THANK YOU

Answers

i can’t really see it. take another pic please

The price of an item has been reduced by 15% the original price was $73

Answers

Answer:

$62.05 is the new price

the reduced price is $10.95

Step-by-step explanation:

73*.85=62.05

Marissa substracted a negative number from a positive number. Her result was negative. Is that reasonable? Explain.

Answers

Answer: It is not reasonable.

Step-by-step explanation: when subtracting a negative number from a positive number the answer is always going to be positive because two negatives make a plus. For example 3-(-5). The two negatives cancel each other out, so it’s 3+5=8

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