the sum of two consecutive integers is 23. what are the numbers?

Answers

Answer 1

Answer:

23

Step-by-step explanation:

the 1st number is x

because they are consecutive:

2nd number is (x+1)

now,

x+(x+1)= 23

2x=23–1

2x=22

x=22/2= 11

so two consecutive numbers are 11 & (11+1)=12

now 11+12=23

Answer 2

Answer:

11 and 12

Step-by-step explanation:

Let the integers be x and x + 1.

Sum of two consecutive integers is 23.

x + x + 1 = 23

2x + 1 = 23

2x = 23 - 1

2x = 22

x = 22 / 2

x = 11

x + 1

= 11 + 1

= 12

The numbers are 11 and 12.


Related Questions

You roll a number cube one time. What is the probability that you roll a 6 or 4? Enter your answer as a fraction in simplest form.

Answers

Answer:

1/3 because there are 6 numbers on a number cube and the probability of rolling a 6 or 4 is 2/6 and simplified it would be 1/3

Step-by-step explanation:

if it is right, please mark as brainliest

What is the solution to 2x2 8x=x2-16? x=-4 x=-2 x=2 x=4

Answers

The solution of the quadratic equation 2x² + 8x = x² - 16 is given as a negative of 4.

What is a factorization?

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The equation is given below.

2x² + 8x = x² - 16

Then on simplifying, we have

       x² + 8x + 16 = 0

x² + 4x + 4x + 16 = 0

      (x + 4)(x + 4) = 0

              (x + 4)² = 0

                        x = -4

More about the factorization link is given below.

https://brainly.com/question/6810544

Answer:

The solution of the quadratic equation 2x² + 8x = x² - 16 is given as a negative of 4.

Step-by-step explanation:

Patrick added 1/4 teaspoons of cayenne pepper and 1/3 teaspoons of black
pepper to his enchilada sauce. What is the total amount of the two spices that
Patrick added to his sauce?

Answers

Find the lowest common denominator and add.
1/4 or 3/12 of cayenne + 1/3 or 4/12 of black pepper = 7/12 teaspoons of spices total

Out of every 8 seeds Natalie planted, only 5 grew into flowers. If there are 45 flowers, how many seeds did not grow?
Please show the steps, thank you

Answers

Answer:

27

Step-by-step explanation:

here we remark that we have a proportional relationship Between the number of seeds and the number of flowers

Let x be the number of seeds we need in order to guarantee that 45 flowers grow.

8 seeds ————————-> 5 flowers

x seeds ————————-> 45 flowers

in order to find x ,We have to solve this equation :

[tex]\frac{x}{8}=\frac{45}{5}[/tex]

⇔ x/8 = 9

⇔ x = 8×9 = 72

“how many seeds did not grow” : 72 - 45 = 27

For triangle xyz , the measures of angles x,y, and Z are known. Which method should be used to start solving triangle xyz?
law of sines
law of cosines
neither law can be used
both laws can be used

Answers

The triangle xyz has three sides and three angles

Neither law can be used to solve the triangle

How to determine the appropriate method?

From the question, we understand that only the angle measures are given.

The law of sines is represented as:

x/sin(X) = y/sin(Y) = z/sin(Z)

The law of cosine states that:

x^2 = y^2 + z^2 - 2yz cos(X)

The above laws require at least one of the side lengths of the triangles.

Since the side lengths are not given, then none of the laws can be used

Read more about laws of cosines and sines at:

https://brainly.com/question/4372174

The polynomial equation x cubed minus 4 x squared 2 x 10 = x squared minus 5 x minus 3 has complex roots 3 plus-or-minus 2 i. what is the other root? use a graphing calculator and a system of equations. –3 –1 3 10

Answers

The negative one is the third root of the equation x³ - 4x² + 2x + 10. Then the correct option is B.

What is polynomial?

Polynomial is an algebraic expression that consists of variables and coefficients. Variables are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

The polynomial equation is given below.

[tex]\rm x ^3-4 x ^2+2 x+ 10 = x ^2 -5 x-3[/tex]

The equation can be written as

[tex]\rm x ^3-5 x ^2+7 x+ 13 = 0[/tex]

The equation has a complex root [tex]- 3 \pm 2 \iota[/tex]

Put x = -1, then we have

[tex]\begin{aligned} (-1) ^3-5 (-1) ^2+7 (-1)+ 13 = 0\\\\-1 - 5 - 7 + 13 = 0\\\\0=0 \end{aligned}[/tex]

The equation is satisfied by the negative one. Then the negative one is the third root of the equation.

More about the polynomial link is given below.

https://brainly.com/question/17822016

Answer:

B on edge

Step-by-step explanation:

because B is -1

Use the Distributive Property to solve the equation.
3(x-6)+6=5x-4

what is x?

Answers

Answer:

x = -4

Step-by-step explanation:

1) Distribute

3(x - 6) + 6 = 5x - 4

3x - 18 + 6 = 5x - 4

2) Add the numbers

3x - 18 + 6 = 5x - 4

3x - 12 = 5x - 4

3) Add 12 to both sides

3x - 12 = 5x - 4

3x - 12 + 12 = 5x - 4 + 12

4) Simplify

Add The Numbers:

3x - 12 + 12 = 5x - 4 + 12

3x = 5x - 4 + 12

Add the numbers:

3x = 5x - 4 + 12

3x = 5x + 8

5) Subtract 5x from both sides

3x = 5x + 8

3x - 5x = 5x + 8 - 5x

6) Simplify

Combine like terms:

3x - 5x = 5x + 8 - 5x

-2x = 5x + 8 - 5x

Combine like terms:

-2x = 5x + 8 - 8

-2x = 8

7) Divide both sides by each factor

-2x = 8

-2x/-2 = 8/-2

8) Simplify

Cancel terms that are in both the numerator and denominator:

-2x/2 = 8/-2

Divide the numbers:
x = 8/-2

x = -4

Solution:

x = -4

HELP PLS!!!! I would appreciate it <333

A circle has a circumference of 26 millimeters. What is the circle's
radius? Use 3.14 for pi and round your answer to the nearest tenth

Answers

Answer:

4.1

Step-by-step explanation:

it was right sooo

how do you find the area of a polygon in a coordinate plane?

Answers

Answer: Use this formula

Area = (number of sides × length of one side × apothem)

Step-by-step explanation: The formula to calculate the area of a regular polygon is, Area = (number of sides × length of one side × apothem)/2, where the value of apothem can be calculated using the formula, Apothem = [(length of one side)/{2 ×(tan(180/number of sides))}].

help me please need help

missing lengths​

Answers

Step-by-step explanation:

For example ............

Answer:

4. y=3√2 and x=36

Step-by-step explanation:

Here,

interior angle of triangle = 180°

So, 90°+45°+45°=180°

Therefore, the triangle is isosceles triangle

So,

y=3√2 (the corresponding sides of corresponding angle of isosceles triangle are equal)

Again, x^2=(3√2)^2 + (3√2)^2

or, x= √(18 + 18)

or, x=√36

or, x=6

What is a solution of x2 + 6x=-5?

Answers

Here is what I found for your question:

Answer:

x=-5,-1

Step-by-step explanation:

(f-g)(x) f(x)=6x-7 g(x)=9x-4

mcgraw hill algebra 1 chapter 8 lesson 1 question 20

Answers

Step-by-step explanation with the answer:

Use the given functions to set up and simplify (f−g) & (x) . -3 x -3

Q4
Find the diameter of a circle if the length of the arc with subtended angle 175° is 12 cm.
(Use it in your calculator.)
1750
B

Answers

Answer:

: L = r * θ = 15 * π/4 =

Step-by-step explanation:



The angles in a triangle have

measures of 61°, (3z), (z-5)

What is the value of z?

Answers

Answer:

z = 31

Step-by-step explanation:

A triangle adds up to 180 degrees

Therefore this equation is formed: 61 + 3z + z -5 = 180

Simplify:

4z = 124

z = 31

please helppppppp!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

So here, ABCD is being inscribed in a circle, so ABCD is a cyclic quadrilateral (as inscribed in a circle) also, there exists a property of cyclic quadrilateral, i.e, the sum of opposite angles of a cyclic quadrilateral is 180°, so we can just write the following equation using this :

[tex]{:\implies \quad \sf y^{\circ}+83^{\circ}=180^{\circ}}[/tex]

[tex]{:\implies \quad \sf y^{\circ}=180^{\circ}-83^{\circ}}[/tex]

[tex]{:\implies \quad \sf y^{\circ}=97^{\circ}}[/tex]

[tex]{:\implies \quad \boxed{\bf{y=97}}}[/tex]

Bob drew a line he thought was close to many of the points and found the equation of the line. He used the points (165, 168) and (174, 178) on his line to find the equation. What is the equation of Bob’s line? If entering decimal values, round to the tenths place.


What does Bob’s equation predict for the height of a person with an arm span of 162 cm? If entering a decimal value, round to the tenths place

Answers

We will see that the linear equation is:

y = 1.1*x  -13.5

b) The predicted height is 164.7cm

How to get the linear equation?

A general linear equation is:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we know that the line passes through (x₁, y₁) and (x₂, y₂), then we can write the slope as:

a = (y₂ - y₁)/(x₂ - x₁)

In this case, the line passes through (165, 168) and (174, 178), then the slope is:

a = (178 - 168)/(174 - 165) = 10/9 = 1.1

Then the line is:

y = 1.1*x + b

To get the value of b, we use one of the given points, for example if we use the first one (165, 168) we must have x = 165 and y = 168, replacing that we get:

168 = 1.1*165 + b

168 -  1.1*165  = b = -13.5

The equation is:

y = 1.1*x  -13.5

Now we want to find the height of a person with an arm span of 162cm, then we replace x by 162 to get:

y = 1.1*162 -13.5 = 164.7

The predicted height is 164.7cm

If you want to learn more about linear equations, you can read:

https://brainly.com/question/1884491

i need help question below :)

Answers

Answer:

8 mins - 5hrs - 8 mins  (all of the answers are in order btw).

Classify the number as natural, whole, integer, rational, and/or irrational. select all terms that are correct. natural whole integer rational irrational 4,563 natural – 4,563 whole – 4,563 integer – 4,563 rational – 4,563 irrational – 4,563

Answers

The given number 4,563 is a natural, whole, integer, and rational number.

What are the different types of numbers?

A number is a fundamental component of mathematics. there are different types of numbers such as whole numbers, integers, natural numbers, rational and irrational numbers, etc.

Whole numbers are numbers such as 0, 1, 2, ... This is a whole number.

Natural numbers can also be counting numbers. They are the whole numbers but starting at 1, not 0.

Integers are whole numbers with negatives.  This is an integer.

Rational numbers are any numbers that can be written as a fraction.  

We can write this as 4563/1, so it is rational.

Learn more about numbers;

https://brainly.com/question/2731293

Last week, Harry ran 5 laps around the lake. Sophia ran 1 5/6 times as many laps around the lake as Harry did. How many laps around the lake did Sophia run?

Answers

Answer:

9 1/6 laps

Step-by-step explanation:

1 5/6 * 5   = 11/6 *5  = 55/6 = 9 1/6

HELPP!!! please for brianlest

Answers

Answer: Up, Down, Left, Right

Step-by-step explanation:

A translation is when you move an object on a coordinate plane. You can move it up and down the y-axis, and left and right on the x-axis.

For example, imagine a triangle on a coordinate plane (it looks like a grid). You can move the triangle to the left, the right, up, down, or any combination of those movements. Therefore, the answer to the 4 blanks are Up, Down, Left, and Right.

How to find area in feet

Answers

Answer:

The way to calculate a rectangular area is by measuring the length and width of your area then multiplying those two numbers together to get the area in feet squared (ft 2).

Step-by-step explanation:

might be the anwser ion know

Answer:

Area is length x width.

Step-by-step explanation:

Lets say you have a rectangle. The length is 7 feet and the width is 4 feet. 7 x 4 is 28. This is how you find the area.

help help help help help help help help help​

Answers

Answer:

1)you must miss the exam &u get start study

2)y=mx+b

3)

Find the zeros of the function f(x) = x² + 49.​

Answers

Answer:

does not have

Step-by-step explanation:

the function will never equals zero. because x² is always a positive number. The minimum is 49.

Answer:

no step-by-step answer

x= 7 and x= -7

Simplify the given polynomial expressions as much as possible.


(3x - 6)(8x + 2)

Answers

Answer:

Step-by-step explanation:

Remark

All you can really do is remove the brackets. Use FOIL

Solution

First: 3x*8x = 24^2

Outside: 2* 3x = 6x

Inside: -6*8x = - 48x

Last: -6*2 = - 12

Answer

24x^2 + 6x - 48x - 12

24x^2 - 42x - 12

Picture below need help a lot of points

Answers

Answer:

rp=20 :: pp=90

Step-by-step explanation:

Well, if it's 10% off then we know that the percent paid is 90%

Now, 18 is 90% of 20, so the regular price is $20

What is the area of triangle XYZ to the nearest tenth of a square inch? Use special right triangles to help find
the height
Y
28 in
60
X
z

Answers

Answer:

Area = 169.7 in^2

Step-by-step explanation:

The two given angles are 90 and 60 degrees.  Since a triangle's angles always add to 180 degrees, the third angle is 30 degrees.  The is known as a "30-60-90 triangle."   It is a special right triangle that has side length values which are always in the same relationship with one another.

The sides of the  30-60-90 triangle ratio are:

Side opposite the 30° angle is x

Side opposite the 60° angle is x*√3

Side opposite the 90° angle is 2x

See attached image for the detail on the calculations.

Three friends decide to rent an apartment and split the cost evenly. they each paid $640 towards the total move in cost of first and last month's rent and a security deposit. if rent is $650 per month, how much was the security deposit? a. $10 b. $207 c. $620 d. $1,270

Answers

The total amount of security deposit, deposited by three friends after paying the rent is $620.01. Option C is the correct option.

What is a monthly payment?

The monthly payment is the amount which is required to pay each month to pay off the borrowed principal amount or the rent of a service charged monthly.

The rent of the apartment is $650 per month. The rent for the two months (first and last) is,

[tex]\rm M = 2\times 650\\\\M =1300[/tex]

This rent is paid by three friends. Thus, the amount which is paid by an individual friend is,

[tex]\rm P=\dfrac{1300}{3}\\\\P=433.33[/tex]

They each paid $640 towards the total move-in cost of first and last month's rent and a security deposit. Therefore,

[tex]\rm P=640-433P=206.67\\\\[/tex]

Thus, $206.67 is paid by each of them towards security deposits. The total amount of security deposit, deposited by 3 of them, is,

[tex]\rm SD=206.67\times 3\\\\SD=620.01[/tex]

Hence, the total amount of security deposit, deposited by three friends after paying the rent is $620.01. Option C is the correct option.

Learn more about the monthly payment here;

brainly.com/question/25599836

Answer:

Option C

Step-by-step explanation:

I got it right on the test

If a cat had 2345 dogs and a dog had 387241 cats and dived by 7 and into percent how many did they have al together?

Answers

Answer:

389586

Step-by-step explanation:

2345 +387241= 389586

9. A car is being tested for reliability on a
track by driving at a constant speed. The
car has traveled 150 miles in 3 hours.
a. Complete the table below.

b. If the car breaks down 4.5 hours into
the test and has to stop for a repair
before continuing, what ratio(s) of
distance to time would be affected?

c. How would you expect the ratio to
change? Explain your reasoning.

Help anyone???

Answers

Answer:

Step-by-step explanation:

See attached image.

Please help me with this math problem!! Will give brainliest!! NO LINKS PLEASE!! Thanks!! :)

Answers

Answer:

x = 3

So,

PQ= 5

RS=6

Step-by-step explanation:

Hope it helps you.....

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