The sum of two consecutive integers is at least negative fifteen. What are the smallest values of consecutive integers that will make this true?

Answers

Answer 1

Answer:

x+1 is greater than or equal to -7

Step-by-step explanation:

x is the first integer and x+1 is the next (consecutive) integer.

At least stands for greater than or equal to

x+x+1 is greater than or equal to -15

Subtract 1 from each side

2x is greater than or equal to -16

x is greater than or equal to -8

This means

x+1 is greater than or equal to -7

Answer 2

The smallest values of the integers are: x+1 ≥ -7

What is equation?

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).

Parts of an Equation

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators. An equation can be formed without these as well, for example, 5 + 10 = 15. This is an arithmetic equation with no variables. As opposed to this, an equation with variables is an algebraic equation.

let the consecutive integers are x  and x+1.

So,

x+ (X+ 1)= -15

2x + 1 =-15

2x= -16

x= -8

Hence, x+1 ≥ -7

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ2


Related Questions

How far can you get away from your little brother with the squirt gun filled with paint if you can travel 3m/s and you have 15s before he sees you?

Answers

Answer:

45 m

Step-by-step explanation:

We are given that a little brother of your with the squirt gun filled with paint  is far away from you.

We have to find the distance between you and your brother

Speed =3 m/s

Time taken by you =15 s

We know that speed=[tex]\frac{distance}{time}[/tex]

Substitute the value then we get

[tex]3=\frac{distance}{15}[/tex]

Distance =[tex]3\times 15[/tex]

Distance =45 m

Hence, you can travel 45 m then he sees you.

Final answer:

You can get 45 meters away from your little brother with the squirt gun filled with paint.

Explanation:

To determine how far you can get away from your little brother with the squirt gun filled with paint, we need to calculate the distance using the formula: distance = speed x time. Given that your speed is 3 m/s and you have 15 seconds before he sees you, the distance can be calculated as follows:

distance = 3 m/s x 15 s = 45 meters

Therefore, you can get 45 meters away from your little brother with the squirt gun filled with paint.

Learn more about Distance calculation here:

https://brainly.com/question/34212393

#SPJ3

Last month, Jenny's science test score was 65. This month, her science test score is 91.
What percent of last's month's score is this month's score?

A)118%
B)135%
C)140%
D)145%

Answers

The answer is C, 140%.

Hi friends, the answers would most certainly be 140

How did you get that answer? Also doesn't 80 tens equal 800

Answers

yes. 80 tens = 80 x 10

80 x 10 = 800

hope this helps

Write two decimals that have a difference of 16.825

Answers

16.826 - 0.001

17.825 - 1.

16.82 + 0.005

Let

x-------> first decimal

y------> second decimal

we know that

[tex]y-x=16.825[/tex]

[tex]y=16.825+x[/tex]

Assume the value of x and find the value of y with the equation

so

For [tex]x=3.875[/tex]

Find the value of y

Substitute the value of x in the equation

[tex]y=16.825+x[/tex]

[tex]y=16.825+3.875[/tex]

[tex]y=20.700[/tex]

therefore

the answer is

The two possible decimals are

[tex]3.875[/tex]

[tex]20.700[/tex]

Rotate rectangle ABCD clockwise 90º about the origin. Label A' B' C' D' respectively. What are the coordinates of the new figure?

Answers

The formula to use would be (x,y) to (y,-x). So, the points are shown, and i will not right them down because you can see them yourself, but I can show you what they will look like afterwards. A=(-2,-2), B=(-5,-2), C=(-6,-6), D=(-2,-6). You can then draw them in and see how they look like after they are rotated.

If you can buy one fruit basket for $30 then how many can you buy with $60?

Answers

you can buy 2 baskets with $60
You could buy 2.

60 is twice as much as 30, giving you the answer of 2.

A certain computer can perform 10 to the 5th power calculations per second. How many calculations can it perform in 10 seconds?

Answers

Well, first, 10 to the 5th power is 100,000. So, it can calculate 100,000 per second. The question asks how many calculations can it perform in 10 seconds, so you are going to do 100,000x10. Your answer should be 1,000,000. So, it can calculate 1,000,000 in 10 seconds!

Answer:

Computer can do the calculations = [tex]10^{6}[/tex] in 10 seconds

Step-by-step explanation:

It is given in this question that a certain computer can perform number of calculations = [tex]10^{5}[/tex] per second

It has been asked that how many calculations it can perform in 10 seconds.

Since number of calculations in t seconds can be represented by

Number of calculations = Calculations done in one second × t

Where t = time

By replacing t = 10 seconds

Number of calculations = [tex]10^{5}\times 10[/tex]

                                       = [tex]10^{6}[/tex]

Computer can do the calculations = [tex]10^{6}[/tex] in 10 seconds

what is 1 8/9 divided by 1/3

Answers

the answer to that question is 0.62962962963
(1 8/9) / (1/3)
(17/9) / (1/3)
(17/9) * 3/1
17/3 or 5 2/3 <==

Annie plants 6 rows of small flower bulbs in a garden. She plants 132 bulbs in each row. How many bulbs does Annie plant?

Answers

She plants 792 bulbs 
132 bulbs per row • 6 rows = 792 total bulbs

An aquarium with a square base has no top. There is a metal frame. Glass costs 8 dollars/m^2 and the frame costs 7 dollars/m. The volume is to be 20 m^3. Express the total cost C in terms of the height h in meters. (Hint: work out the cost of the glass and frame separately.)

Answers

Let x = one of the side lengths of the base.
Then area of the base = x². So volume of the base = x²h.
That gives us x²h = 20. Solving for x, we get x = √(20/h²).

Glass is needed to cover the sides of the aquarium. There are 4 sides and 1 base. Area of a side = hx = h√(20/h²). Area of the base = x² = 20/h. Total area of glass = h√(20/h²) + 20/h. So the cost for glass = 8 * [h√(20/h²) + 20/h] = 8 h√(20/h²) + 160/h.

Metal frame is needed along the edges of the sides. There are 4 edges on the top, 4 edges in the bottom and 4 vertical edges. So the total length of metal frame = 4x + 4x + 4h = 8 √(20/h²) + 4h. Then the cost for metal frame = 7 * [8 √(20/h²) + 4h] = 56 √(20/h²) + 28h.

So the total cost = 8 h√(20/h²) + 160/h +  56 √(20/h²) + 28h
   

solve;

5(x+1)=6.4−2.7x

3(y−1.5)=9.9–4.2y

0.9y−1.8=0.3(y−4)

Answers


1. Answer x=0.18

2. Answer y = 2

3. Answer y = 1

This is more of a question about a symbol, rather than a question about a problem.
I keep seeing 7√2 and I'm just wondering if the number outside of the radical is being multiplied by the square root, or if there is a deeper meaning. I can't really explain well, but if the square root of 2 is about 1.41 then would I multiply 1.41 by 7 to get 9.87? Or..?

Answers

you are right, when you see a number like 7√2

 you would multiply 7 by √2

which = 7 x 1.41 = 9.87

Help me with 234 thousands + 7 ten thousands = need answer ASAP!

Thanks

Answers

It’s basically 243 + 7. Don’t have to pay too much attention to the ‘thousandths’ part yet. So yea, what she/he said. 244 thousandths.

The solution of the addition will be 944000.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that 234 thousand + 7 ten thousand. The summation of the numbers will be:-

Add both numbers.

S = 234000 + 710000 .

S = 944000

Therefore, the solution of the addition will be 944000.

To know more about an expression follow

https://brainly.com/question/13776939

#SPJ2

If the sales tax in your city is 4.4%, and an item costs
$3 before tax, how much tax would you pay on that item?
Round to the nearest hundredth or cent.

Answers

Simply take 4.4% of $3:


0.044 * 3 = 0.132


You would pay $0.13 tax on a $3 item.

A video store offers two types of rental cars. Each rental card is good for six months. The gold rental card costs $25 plus $1.75/rental. The silver rental card cost $10 plus $3.25/rental. Explain why someone would prefer one card over the other.

Answers

Final answer:

When choosing between the gold and silver rental cards, it is important to consider the frequency of movie rentals and the associated costs.

Explanation:

When deciding between the gold and silver rental cards, there are a few factors to consider.

The gold rental card has an initial cost of $25 and then charges $1.75 per rental. On the other hand, the silver rental card has an initial cost of $10 and charges $3.25 per rental.

If you rent movies frequently, the silver card may be a better option because even though it has a higher initial cost, the lower charge per rental will result in lower overall cost. However, if you don't rent movies often, the gold card may be a better choice because the lower per-rental cost will offset the higher initial cost.

Find g (2w) when g(x) = x^2 - 2x + 1

Answers

g(2w)=(2w)²-2(2w)+1
g(2w)=4w²-4w+1

The value of g (2w) is,

g (2w) = 4w² + 4w + 1

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

The given function is;

g(x) = x² - 2x + 1

Now, The value of g (2w) is calculated as;

g(x) = x² - 2x + 1

Put x = 2w in above equation,

g (2w) = (2w)² + 2 (2w) + 1

g (2w) = 4w² + 4w + 1

Hence, The value of g (2w) is ( 4w² + 4w + 1 ).

So, The value of g (2w) is,

⇒ g (2w) = 4w² + 4w + 1

Learn more about the substitution method visit:

https://brainly.com/question/25818432

#SPJ2

write an equation and solve

Answers

A good one is. 9+10 = 21
r + (-6) = -10

To solve the equation r + (-6) = -10, since -6 is being added to r, we need to subtract -6 from both sides of the equation.

It's important to understand that minus a negative means the same thing as plus a positive so we're really adding 6.

On the left side of the equation, the -6 and +6 cancel out and we have r. On the right side of the equation, -10 + 6 is -4.

So we have r = -4 which is the solution to our equation.

What is the value for x?



Enter your answer in the box.

Answers

the answer is 11.5 if your looking for x

Let x be the first factor in an expression in scientific notation. Describe the possible values of x.

Answers

Final answer:

In scientific notation, the coefficient is a number from 1 to 10 multiplied by a power of 10, which represents the number of decimal places moved to convert a number to this format.

Explanation:

The first factor in an expression in scientific notation is the coefficient, which must be a number equal to or greater than 1 and less than 10. The coefficient is then multiplied by a power of 10 to represent the original number accurately.

For example, to write the number 79,345 in scientific notation, one would express it as 7.9345 × 104, because we have moved the decimal place to make 79,345 into 7.9345 while recording that we have moved the decimal place four positions to the right, hence the power of 10 being 4.

Draw algebra tiles to model the given two step equation -3 = 5 - 4x

Answers

Your answer is negative 2

What percent of 600 is 12?

Answers

the answer would be 72.
the answer is 12 is 2% of 600 

A group of preschoolers has 63 boy and 27 girls. What is the relationship of boys to all children?

Answers

63+27 = 90 total children

boys to all children ratio

63:90

This is the call plan for Robert's cell phone:

$15 a month plus free texts plus 20 cents per minute for call time. How much is his bill if he talked 30 minutes and had 115 texts?

Question 4 options:

$6.00


$23.00


$27.00


$21.00

Answers

To answer this, first make an equation representing the data: 

15+ 0.20X= Bill

now plug in data you know:

15 + 0.20(30)= bill

and finally solve it: 
Bill= $21.00

$0.20 times 30 minutes = $6.00
So $6.00 plus the $15 charge each month = $21.00

-4(-8x-8) im using the disturbutive property

my answer: 32x--32 is that correct or is it 32x+-32
or is it something else?

Answers

Yes you are right, but just make sure that it's not 32x--32. You can't have two subtraction symbols. Two negatives becomes a positive, so it would be 32x+32
You're almost entirely correct: the correct answer is 32x + 32. The product of two negatives (in this case, -4 and -8) is a positive.

Mr. Pease, a science teacher, records the air temperature, in degrees Celsius, every two hours. The table below shows part of Mr. Pease's temperature data.

Complete the table using the following information:
Between 10 a.m. and 12 p.m., the temperature increased by the same amount as between 8 a.m. and 10 a.m.
Between 12 p.m. and 2 p.m., the temperature decreased by 5 degrees.

What is 12 pm and 2pm

Answers

12/2=6 the / mean divde

What’s the answer for this math question

Answers

3 11/12 is the answer to the question.

Y=-1/2x+2 whats the answer? Plz help me

Answers

Y = -1/2(-5/3) + 2
Y = 5/6 + 2

I think that is how you do it. You should probably check my work and look for other answers to compare mine with before you take my word for it. Hope this helps!

Find the slope of the line that passes through the points (1,-4) and (4,2)

Question 2 options:

1/2


-2


2


-2/3

Answers

You would do y1-y2/x1-x2. So2--4/4-1

That equals 6/3=1/2 so the slope is 1/2
The slope formula is:

[tex] \frac{y_{2} - x_{1} }{ x_{2} - x_{1} } [/tex]

You would then put in the points.

[tex] \frac{2 - (-4)}{4 - 1} [/tex]

Is equal to

6/3

Or 2.

To the nearest hundredth, what is the distance between point (-6, -1) and point (4, 3)?

Answers

Use the distance formula and simply substitute in the corresponding orders pairs.

Distance = √(x2 - x1)² + (y2 - y1)²

Distance = √(4 - (-6))² + (3 - (-1))²

Distance = √(4 + 6)² + (3 + 1)²

Distance = √(10)² + (4)²

Distance = √100 + 16

Distance = √116

Distance = 10.7703296143

Round to the nearest hundredth!

Distance ≈ 10.77

Answer:

10.77

Step-by-step explanation:

solve x squared minus 2x minus 15 equals 0 using the zero product property

Answers

x^2 - 2x - 15 = 0

(x - 5)(x + 3) = 0

We have two factors:

(x - 5) and (x + 3)

Set each factor to 0 and solve for x.

Take it ftom here.

Other Questions
Si yo tuviera tiempo, yo la novela Don Quixote. Amy is in a craft store looking at packages of Pom-poms. Amy sees packages of four red pom-poms. Amy says she can buy seven packages of four pom-poms or four packages of seven pom-poms because she will get the same total of pom-poms. Is Amy correct? Show all mathematical thinking. Given triangle XPs is congruent to triangle dnf, find the values of x and y. The sum of Juanitas age and Saras age is 33 years. If Sara is 15, how old is Juanita? The height of Niagara falls is 182.How many yards high is Niagara falls En ____, la mayora de la gente tiene acceso a los sistemas de salud. colombia espaa mxico BRAINLIEST REWARDTrue freedom (often called self-actualization) is the condition of being able to ______________ . do whatever you have todo whatever you shoulddo whatever you want Which of the following was an issue on which Alexander Hamilton and Thomas Jefferson had differing views?National BankProtective tariffsall of the aboveRole of the Central Government The principle amount P deposited in a bank account plus 4 percent interest. If $250 was deposited, how much is now in the account? What is the function of the semicolon in the sentence below? i have only mentioned a few grammatical errors ; many others are there? operations absolute value |4 - 9| =|4| -9 = In "Two Kinds" what changes the daughters attitude about becoming a prodigy A). She sees her mothers after she feels a test . B) she realizes that she will have to learn to play the piano . C) she realizes that we Waverly have a natural talent for chess. D) she understands that she has to talk to become a writer Under the u.s. constitution, which of these is a power reserved only for states? the power to establish and maintain schools the power to borrow money the power to regulate foreign trade the power to declare war The sum of two numbers is 47 and the difference is 1 . what are the numbers? What happened to the glass blower who inhaled England and France:A) were at war with each other but supported shipping rights of neutral nationsB) were greatly effected by the Embargo act of 1807C) impressed American sailors and seized American ships D) tried to negotiate a peaceful settlement of their differences What election takes place before the general election to choose a political party's candidate?a. conventionb. caucusc. primaryd. closed caucusI feel like it is primary, just wanted to see others' thoughts. How did Great Britain and France place the newly formed United States in the middle of their problems in the late 1700s?They pressured the United States to take sides. They pressured the United States to settle their conflicts. They wanted the United States to lend them its cabinet for advice.They wanted the United States to remain neutral. Which dosage form is formulated to mask an objectionable taste of a medication? Devon Price is a clerk typist. His annual salary is 18,720. What is his biweekly salary? Steam Workshop Downloader