The difference of the squares of two positive consecutive integers is 991. Find the integers.

Answers

Answer 1

Answer:

The numbers are 495 and 496.

Step-by-step explanation:

[tex](x+1)^{2} -x^{2} =991\\x^{2} +2x+1-x^{2} =991\\2x+1=991\\2x=990\\x=495[/tex]


Related Questions

Please help!
Karl bought ​312​ gallons of milk that cost $2.70 per gallon.

What was the total cost of the milk?

Enter your answer in the box.

$

Answers

Answer:

you have to divide the gallons with the money per gallon

Step-by-step explanation:

Answer:

$842.40

Step-by-step explanation:

2.70 x 312

Which of the equations below can be solved by square roots? How would you solve the other equation? Explain your reasoning. Give the solutions to both equations. Equation A: x? - 9x = 0 Equation B : x2-9=0​

Answers

Answer:

Equation A is factoring, x=9 and x=0

Equation B is the square root, x=3

The equation A:  x² - 9 = 0 can be solved by square root method

The equation B: x²  -  9x = 0 can only be solved by factoring

The given equations are:

Equation A:    x²  -  9x = 0

Equation B:    x²  -  9 = 0

The equation x² - 9 can be rewritten as:

x²  -  3² = 0

This is a difference of two squares which can be further expressed as:

(x  -  3)(x + 3) = 0

x  - 3  =  0

x  =  3

x  +  3  = 0

x  =  -3

This shows that the equation x² - 9 = 0 has two roots x = -3 and x = 3

Also, from x² - 9 = 0

[tex]x = \pm\sqrt{9} \\\\x = \pm3[/tex]

For the equation x²  -  9x = 0

This can be factored as x(x - 9) = 0

x  = 0,  x = 9

This is not solved by the square root method.

Therefore, the equation x² - 9 = 0 can be solved by square root method

Learn more here: https://brainly.com/question/18088242

Shanika and Vanesa are comparing their electric bills for the past month. Shanika is on a standard u
is on an interval use plan. Each person's usage is listed on the chart below:
Standard Use Plan
7.5 cents/kWh for the first 400 kWh
10 cents/kWh for the next 400 kWh
12.5 cents/kWh for anything over 800 kWh
Interval Use Plan
On-peak hours - 15 cents/kWh
Off-peak hours - 3 cents/kWh
Both women use 1,325 kWh for the given 30 day period. Vanesa uses 500 kWh during on-peak hours
peak hours. Which person ends up paying more for their utilities? How much more?
a. Vanesa pays $35.88 more than Shanika.
b. Vanesa pays $99.75 more than Shanika.
C. Shanika pays $35.88 more than Vanesa.
d. Shanika pays $99.75 more than Vanesa.

Answers

THE ANSWER IS C. Shanika pays $35.88 more than Vanessa.

Answer:

C

Step-by-step explanation:

EDGE2021

Kiran says that -2 < -5 . Do you agree with Kiran

Answers

Answer:

No

Step-by-step explanation:

-2 is a larger number than -5, if you were to plot these two numbers on a number line, -5 would be further to the left of 0 than -2, which makes it a smaller number. The sign < means less than. The statement being made is that -2 is less than -5, which is false.

Answer:

no

Step-by-step explanation:

I took a test and this question was on it and the answer was no.

Brandon buys a radio for $45.85 In a state where the sales tax is 7%.​

Answers

Answer:

Step-by-step explanation:

45.85*7%= 3.21 tax

45.85+3.21=49.06 total

$45.85 + 7% = $49.06
One state that has a 7% sales tax is Texas.

[AWENSERED] Which statements are true about the reduction of rectangle ABCD to rectangle A’B’C’D’? Check all that apply.
A ≅ A’
AB ≅ A’B’
CD = C’D’
BC = 3B’C’
D > D’

Answers

Answer: 1 and 4

Step-by-step explanation: just did it

Answer:

1 and 4

Step-by-step explanation:

because yes

totally doesn't say it

Help me?! Solve for x

Answers

Answer:

3

Step-by-step explanation:

180-75

105

105-3

102

102/34

3

Answer:3

34x+3+75=180

34x=180-78

34x=102

x=102/34

x=3

I don't understand this​

Answers

Answer:

y=2/3x+3

Step-by-step explanation:

First, you would use the point slope formula : y₂-y₁/x₂-x₁

(5--3)/(3--9)

=8/12

=2/3

Then you would plug it back into the equation along with one of the points. Ex:

-3=2/3(-9)+b

-3=-6+b

3=b

So in conclusion, the formula would come out to y=2/3x+3

Hope this helps! :)

whats the answer for (1 + 1 x 15 /3)sqr2

Answers

Answer:

Answer should be 36

Step-by-step explanation:

I used a calculator, thought I'm not 100% sure what your question is. Please correct me if i'm wrong.

A gardener is installing fence around his garden. Let x represent the width of the garden, in feet. The perimeter of the garden is 8x + 8. Which expression represents the length of the garden?

1. 2x + 2

2. 3x + 4

3. 6x + 8

4. 8x + 8 – 2x

Answers

Answer:

2.        3x + 4

Step-by-step explanation:

What we know:

w=x

Perimeter (p) = 8x+8

Formula for perimeter  p =2(L+W)

8x+8 =  2(L+W)

L+W is half, so    

 L+W = 4x+4

Substract W on both sides;

L = 4x+4 -W    

We know that  W = x

So

L= 4x+4-x

4x-x= 3x

L= 3x+4

Jaime will choose between two banquet services for a party. Service A charges a $ 500 organization fee plus $ 25 for each guest. Service B charges a $ 200 organization fee plus $ 30 for each guest. what is the cost of one guest?

Answers

Answer:

Service B

Step-by-step explanation:

Beacuse it is taking less money

The following are the ages (years) of 5 people in a room:
21, 24, 18, 15, 15
A person enters the room.
The mean age of the 6 people is now 16.
What is the age of the person who entered the room?

Answers

Answer:

3 years old

Step-by-step explanation:

( 21 + 24 + 18 + 15 + 15 + x ) / 6 = 16

93 + x = 96

x = 3

The person who entered the room is 3 years old.

Answer:

3 years old

Step-by-step explanation:

x= age of the person who entered the room

The sum of 21,+ 24,+ 18,+ 15,+ 15 = 93

(93+x )     divided into 6 = 16

Multiply both sides by 6

93+x = 96

x=3

 93+3= 96

96/6 = 16

Which line below is parallel to the line that y = 1/2x - 2?
A) y = 1/2x + 2
B) y = -1/2x + 2
C) y = 1/2 - 2x
D) y= 1/2 + 2x

Answers

Answer:

The answer is b

Step-by-step explanation:

Bc it is just basicly the x and y axis

Could someone please assist me with this vocabulary worksheet

Answers

Answer:

don't take my word for it

Step-by-step explanation:

1. J

2. E; exponent tells us how many times a number is used as a factor

3. L; if the GCF of a fraction is 1, then we cannot simplify it further.

4. C; Binary, means something w/ 2 components (0s and 1s in this case).

5. same as 12, crossed out

6. G

7. I

8. K

9. M

10. D; Divisible, by definition (no remainder/trailing digits e.g.: 1.3495).

11. A; Algebraic factor, it has common symbols used in algebra (e.g.: x)

12. crossed out

13. E; exponent, when we have [tex]3^x[/tex], x is the number telling us this.

Will give brainliest if correct.

Answers

Step-by-step explanation: The x-intercept is

the point where a line crosses the x-axis.

So the x-intercept for the line on the graph is (7, 0).

All x-intercepts have a y-coordinate of zero.

The y-intercept is a point where a line crosses the y-axis.

So the y-intercept for the line on the graph is (0, 5).

All y-intercepts have a x-coordinate of zero.

A rental car company is running two specials. Customers can pay $50 to rent a compact car
for the first day plus $6 for each additional day, or they can rent the same car for $20 the
first day and $12 for every additional day beyond that. Nora notices that, given the number
of additional days she wants to rent the car for, the two specials are equivalent. How many
additional days does Nora want?
Write a system of equations, graph them, and type the solution

Answers

Answer:

After 5 additional days it will be equal

Step-by-step explanation:

1st special: 6x + 50

2nd special: 12x + 20

6x + 50 = 12x + 20

Subtract 20 from both sides;

6x + 30 = 12x

Subtract 6x from both sides;

30 = 6x

Divide both sides by 6;

x = 5

pls help will mark brainliest if correct

Answers

Answer:

the answer should be clld i am pretty sure

Step-by-step explanation:


Mathew constructed the largest
possible right triangle to fit inside an
eight-centimeter cube as shown in
the figure. What is the length of the
hypotenuse of the right triangle?

Answers

Answer:

Step-by-step explanation:

Answer:Problems based on special right triangles were given the code G-SRT.5 or ... The least possible sum of digits on a 12-hour digital clock is 1. ... The largest sphere that will fit inside this cube has a diameter equal to the length of the ... Using the Pythagorean Theorem, we can find the length d of the hypotenuse, which is the ...

HELP ASAP RIGHT ANSWERS ONLY
You work 4 hours on Monday, 4.5 hours on Tuesday, 7.25 hours on Thursday, and 12 hours on Saturday. If you get paid $11.52 per hour, what is your total pay for the week?

Answers

Answer:

my last 2 braincells trying to understand this question

Step-by-step explanation:

ahmad wrote two numbers. the frist number has a 7 in its tenth place. the second number has a 7 with a value that is 1,000 times greater than the value of the 7 in the frist number. in which place is the 7 in the second place

Answers

Answer:

Thousands

Step-by-step explanation:

If AB = 5 feet, BC = 11 feet, and CD = AB, What is the length of AD?

Answers

21 ft
It really helps if you draw a illustration if AB=CD then 5+5 and BC= 11 so 5+5+11 and then the entire length is AD so the sun of the summers gives you you answer

Help me solve the following question.
When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with
infinite solutions
no solution

Answers

Answer:

2

Step-by-step explanation:

Need help on this Math problem

Answers

Answer:

I hope I helped :)

Step-by-step explanation:

a. The y-intercept represents b. (y = mx + b) also b is 20 because that's where the line touches the y-axis.

b. The slope represents Sam's monthly fee.

c. Sam's monthly fee is 0.4 or 2/5

d. Every 50 minutes is $20.

how to completely factor 4x²-2x

Answers

Answer:

2x(2x-1)

Step-by-step explanation:

[tex]4 {x}^{2} - 2x \\ \\ = 2x(2x - 1) \\ [/tex]

Hey everyone
I just need help with this one question
I looked it up and I didn't see it anywhere
Btw this is on TTM

Answers

Answer:

She will dive 30 meters below sea level

Step-by-step explanation:

0 is the sea level, so that means 0-30 meaning she will go 30 meters below sea level.

What is 0.00004237 rounded to the nearest hundred thousand

Answers

Answer:

0.00004

Step-by-step explanation:

You round down at the 4.

0.00004 is the answer to rounding to the nearest hundred thousand

Which situation best describes a positive correlation? Group of answer choices The height of a candle and the amount of time it stays lit. The price of a pizza and the number of toppings added. The temperature of a cup of hot chocolate and the length of time it sits. The amount of rainfall on Fridays.

Answers

Answer:

The correct option is;

The price of a pizza and the number of toppings added

Step-by-step explanation:

A positive correlation is one in which the variables being correlated, progress in the same direction, such that an increase in one variable will lead o an increase in the other variable;

The price of a pizza  depends on the size of the pizza and the price increases for each additional topping added, such that the price of the pizza will increase as the number of toppings is increased

The variable, the height of the candle and the variable, the length of time it stays on, are positively correlated because, the two variables depends on each other whereby the time it takes to completely burn a candle increases as the length of the candle increases, however, the candle can be put out depending on usage, even if it can stay lit for a longer period of time.

,
[tex]33333 \div 2[/tex]

Answers

Um 16,666.5 hope this help
The answer is 16,666.5

Solve LaTeX: \frac{3}{5}k - 5 = \frac{7}{10}k
3
5
k

5
=
7
10
k
by eliminating the fraction. Explain how you determine what to multiply each term by and all the steps to solving the equation.

Answers

Answer:

k=2

Step-by-step explanation:

(3/5k)-5=7/10k

we multiple both sides by 10k to get only one k

10k(3/5k)-5 = 7

(30k/5k)-5 =7 now we add 5 to other side and simplify our k fraction

6k= 12 divide by 6

k=2

The answer is 2 12 divide by 6

I need help bad please anyone I need this​

Answers

Answer:

The answer is A because 144 - 121 = 23 so

Step-by-step explanation:

because 144 - 121 = 23

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