Mathematics Middle School

The sum of the squares of two consecutive positive odd integers is 202. Find the numbers. Let statement and algebraic solution please. Thanks!

Answers

Answer 1

Answer:

Step-by-step explanation:

the integers are x and x+2

x^2 + x^2 + 4x + 4 = 202

2x^2 + 4x -198 = 0

x^2 + 2x -99 = 0

x^2 + 11x -9x -99 = 0

x(x + 11) -9(x + 11) = 0

(x-9)(x+11) = 0

x = 9 or -11

x+ 2 = 11 or -9

9 or 11

-9 or -11

Related Questions

Need help on this one

Need help on this one

Answers

Answer:

12

Step-by-step explanation: it’s right

Can someone help me solve this? Pls and ty!

Can someone help me solve this? Pls and ty!

Answers

Answer:

H. 95°

Step-by-step explanation:

m∠BGC is 10° smaller than m∠CGD, which means that m∠BGC is x° - 10°

m∠DGE is 25° more than m∠EGF, which means that m∠DGE is x° + 25°

The sum of all angles in a placement like this will always equal 360°

So we put all the measures of all angles on one side of thee equation and set it equal to 360*

x° + x° - 10° + 2x° + 25° + 2x° + 3x° + 30° = 360°

After combining like terms we get 9x° + 45° = 360°

After some algebra we get x = 35°

Now at the start we said that m∠DGE is x + 25°

Plug in 35° for x and we get 35° + 25°

The final answer is m∠DGE = 95°

Edit: Sorry if my answer looks a bit confusing. This is actually my first answer on Brainly so I'm quite new to this experience.

The person above is correct, give brainliest

There are 12 inches in 1 foot and 5,280 feet in 1 mile. Jada ran 314 miles

Answers

Answer:

in feet: 1657920 ft and in inches: 19895040

Step-by-step explanation:

Which is rational and which is irrational?

Which is rational and which is irrational?

Answers

pi is not rational

3 pi is not rational


Squareoot 101 is not rational


0.6 is rational


1

1/2 is rational


16.5 is rational


-square root 25 is rational


2 to the power of 4 is rational


-10 is rational


3/2 is rational


you’re welcome




Rational
1 1/2, .6, 16.5, - radical 25,-10, 2^4, 3/2
Irrational
Radical 101, pie, 3pie

help ASAP surface area.

help ASAP surface area.

Answers

Answer:

I'm pretty sure its 52 cm squared

Step-by-step explanation:

if you count all the visible sides, you get 52

Answer:

the answer is 62cm2

Step-by-step explanation:

What is 5 time 2 plus 3 to the power of 2

Answers

i believe it is 19 if im wrong sorry

(5x2)+3^2
Multiply five times two
10+3^2
Find 3 to the power of 2
10+9
Your final answer should be 19

Type a digit that makes this statement true.
153,80(number here) is divisible by 5.

Answers

Answer:

5Hope it helps!

Step-by-step explanation:

153805 is divisible by 5

The answer would be 5!
I hope this help!

help pls its due today thank you

help pls its due today thank you

Answers

6:3, 16:8, 2:1. To figure out if ratios are equivalent, depict them as fractions and see if they simplify to the same value.
The answer is 6:3, 16:8, 2:1. To figure out if ratios are equivalent, depict them as fractions and see if they simplify to the same value.

what is 0/0+1000000000000/3.333333333333. Its unedentified but just take the free 100 points

Answers

Answer:

okay

Step-by-step explanation:

thanks for the points btw it's unedentified

Answer: The sun

Step-by-step explanation:

0/0=yellow

so you divide pi and add the area of green so thanks

Mona, Tabitha, and Reid are at a frozen yogurt shop. At the shop, frozen yogurt and toppings are charged by the ounce. The following table shows the weight and cost of each person's bowl.

A. What does the yogurt shop charge per ounce?

B. What should Reid's bowl cost?

Mona, Tabitha, and Reid are at a frozen yogurt shop. At the shop, frozen yogurt and toppings are charged

Answers

Answer:

A.$0.45

B.$3.51

Answer:

Step-by-step explanation:

A. They will charge forty-five cents per ounce.

B. They will charge  Reid  $3.51 for her bowl.

-3 + 6x. Which expression shows the correct factorization?
Here are the ones to pick from
1. -2 + -2 +6 +x
2. 6(-2 +x)
3. 6(-2 +x)
4. -3 (1 - 2x)

Answers

Answer:

Option #4

Step-by-step explanation:

Expand option #4

=-3(1-2x)

=-3 -2x*-3

=-3+6x which is what your original equation was.

becoz it is a multiple choice, we can go by elimination, hence when we expand #4, we will get -3+6x

Being sure with my Answers
Ali caught 28 birds. He sold out 8 of themand kept the rest equally in 4 cages. Hiw many birds were kept in each cage?

Answers

Answer: 5

Explanation: 28-8=20. 20/4= 5.
5 would be kept in each cage because 28-8=20 and 20/4= 5

help plsssssssssssssssss

Answers

I can’t se the picture... sorry!

Answer:

1. 9.512

2. 13/15

3. D and E ( i think)

4. 3

5. 36

Step-by-step explanation:

How is the number five and two hundred three thousandths written in standard form?

Answers

Answer:

0.05203*10 to the power 2

Step-by-step explanation:

To get the standard form you divide a number in order to multiply it by a power of 10 to get the same number. So 5.203 in standard form is o.o5203 * 10 to the power 2. The 10 to the power 2 comes from the number of palces you move the comma/ decimal point to the left

HOPE IT HELPED

Answer:

5.203

*I wrote the answer in decimal form*

When it says *and* that means u are adding a decimal point to ur number. Like this ( four and thirty-two hundredth = 4.32)

Express the area of the entire rectangle.
Your answer should be a polynomial in standard form. ​

Answers

Answer:

A = ac+ad+bc+bd

Step-by-step explanation:

A = length * width

If length is comprised of multiple variables, a & b, then add them before multiplying by width

Same thing applies for width

length = a+b

width = c+d

A = (a+b)*(c+d)

At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.


Ketchup Relish Chili
54 36 60


Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
4,225
3,380
3,127
3,042

Answers

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Answer:

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Step-by-step explanation:

will give brainliest

will give brainliest

Answers

Answer:

9 and -45

Step-by-step explanation:

they are whole numbers and integers are positive/negative whole numbers

Answer:

9, square root of 12, square root of -36, and -45

Step-by-step explanation:

They are all whole values meaning that they all do not have decimals and they are not fractions either.

30 POINTS HELP ME-
(7.12) A group of students must collect at least $120 to organize a science fair. They have already collected $30. Which graph best represents all remaining amounts of money, in dollars, that the students should still collect to organize the science fair?

(A) Number line graph with closed circle on 120 and shading to the right
(B) Number line graph with closed circle on 90 and shading to the right.
(C) Number line graph with closed circle on 150 and shading to the right
(D) Number line graph with closed circle on 30 and shading to the right.

Answers

Answer:

Number line graph with closed circle on 30 and shading to the right

because you already have 30 dollars and they need at least 120 but if they get more then 120 they can still hold the science fair.

THIS ANSWER ISN'T MINE. I TOOK IT FROM AN ANSWER TO THE SAME QUESTION ANOTHER USER POSTED.

Jeremy claims that if a linear function has a slope of the same steepness and the same y-intercept as the linear function in the graph, then it must be the same function.

On a coordinate plane, a line goes through points (0, negative 1) and (2, 0).

Which equation is a counterexample to Jeremy’s argument?

y = negative one-half x minus 1
y = negative one-half x + 1
y = one-half x minus 1
y = one-half x + 1

Answers

Answer:

y= 1/2x -1

Step-by-step explanation:

(0, -1), (2, 0)

y= mx + b

m= 1/2 (0.5)

b = -1

Answer:

y=1/2x-1

Step-by-step explanation:

i jus got it correct

What is the area of the triangle?

What is the area of the triangle?

Answers

Answer:

A=20

Step-by-step explanation:

What is the area of the triangle?
20 because to find the area of a triangle, you should multiply base by height and divide that by 2

You have a pizza with diameter 12
2
3 in., and a square box that is 12.65 in. across. Write 12
2
3 as a decimal. Can you fit the pizza inside the​ box?
What is the decimal expansion for 12
2
3​?
A.12.6
B.12.65
C.12.6
D.12.66
pls help me

Answers

Answer:

D is the right choice and no you cannot fit the pizza inside the box.

Step-by-step explanation:

D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.

Answer:

I believe the answer is D.

Step-by-step explanation:

GOOGLE

(1/6) to the 2nd power

Answers

Answer:

0.0277777778

Step-by-step explanation:

\(\frac{1}{6} ^{2}\)

\(\frac{1}{6}\)  × \(\frac{1}{6}\) = 0.0277777778

The answer is 0.02777777777

The sevens just keep going

Just put a line right beside the last 7 so show it's infinte

In a survey of a community, 60% of people liked summer season, 70% liked winter season and 15% liked none of the seasons.

a. Illustrate the given information in a venn diagram.

b. Find the percentage of the people liked both the seasons.

c. If 180 people liked summer season only, how many liked winter season only? ​

Please answer me
and pls don't answer anything wrong for getting points only .
●•●
●•●
●•●
●•●

Answers

Answer:

Step-by-step explanation:

n(U)=100%

n(S)=70%

n(W)=15%

n(S union w compliment)=20%

n(s intersection W)=?

n(u)=n(s)+ n(w)+ n(s union w compliment)- n(s intersection w)

or 100%=70% +15%+ 20% - n( s intersection w)

or 100%= 95%- n(s intersection w)

or 100%-95%=n(s intersection w)

or 5%= n( s intersection w)

now;

n(only w)=n(w)- n(s intersection w)

              =15%- 5%

               =10%

10%of people only like winter season.

i think the question is to find people who only like winter season.

if not then ans is 15% according to question.

a) The illustration of the given information in a Venn diagram is attached.

b) The percentage of people who liked both seasons is 45%.

c) If 180 people liked the summer season only, proportionately, the number of people who liked the winter season only is 300.

How the Venn diagram is illustrated:

The Venn diagram, which shows similarities and contrasts, can be illustrated based on the given percentages.

Percentages are one of the ways to depict proportions, which are the equation of two ratios.

The percentage of survey people who liked the summer season = 60%

The percentage of survey people who liked the winter season = 70%

The percentage of survey people who liked none of the seasons = 15%

The percentage of participants who liked one of the seasons = 85% (100% - 15%)

The total percentage of survey people who liked either summer or winter = 130% (60% + 70%)

b) The percentage of survey people who liked both seasons = 45% (130% - 85%)

The percentage that liked only summer = 15% (60% - 45%)

The percentage that liked only winter = 25% (70% - 45%)

c) 180 people liked summer only

180 = 15%

Proportionately, if 180 = 15% of the people, the total number of people = 1,200 (180/15%)

The number of people who liked winter season only = 300 (1,200 x 25%)

Learn more about Venn Diagram at https://brainly.com/question/28060706.

#SPJ2

In a survey of a community, 60% of people liked summer season, 70% liked winter season and 15% liked

help this is my hw from like 2 months ago

help this is my hw from like 2 months ago

Answers

The answer is y=1/2x+40

Answer: y=1/2x+40

Step-by-step explanation:

i need help with this problems

i need help with this problems

Answers

Answer:

Step-by-step explanation:

y = mx + b

0 = 300,10 + 240 =550  

Robin wants to buy a membership at a carwash this summer so that she can keep her car clean. She compared deals from Speedy Clean Carwash and Sudsy Bubbles Carwash to decide which membership to get. Robin arranged the information in the tables below.
How many times will Robin need to wash her car to spend the same amount at both carwashes?
P.S.: I attached the table below:)

Robin wants to buy a membership at a carwash this summer so that she can keep her car clean. She compared

Answers

Robin will need to wash her car 4 times to have spent the same amount at both car washes. I hope this helps!
Robin wants to buy a membership at a carwash this summer so that she can keep her car clean. She compared
It will be 35 dollars

50 points!!!!! Please!!!!! Sandra and Jenny spend a certain amount of money from their money box each month to buy plants. The table (function 1) shows the relationship between the amount of money (y) remaining in Sandra’s money box and the number of months (x):
Number of Months Amount Remaining (in $)
(x) (y)


1 50

2 45

3 40

4 35

The equation (function 2) shows the relationship between the amount of money, y, remaining in Jenny’s money box and the number of months, x:

Function 2
y = −6x + 50

Which statement explains which function shows a greater rate of change?
Function 2 shows a greater rate of change because Jenny spends $6 each month and Sandra spends $5 each month.
Function 2 shows a greater rate of change because Jenny spends $50 each month and Sandra spends $15 each month.
Function 1 shows a greater rate of change because Sandra spends $15 each month and Jenny spends $44 each month.
Function 1 shows a greater rate of change because Sandra spends $5 each month and Jenny spends −$6 each month.

Answers

Answer:

A) Function 2 shows a greater rate of change because Jenny spends $6 each month and Sandra spends $5 each month.

Step-by-step explanation:

The y-intercept for Sandra is 55 and the slope is -5. While Jenny's y-intercept is 50 and slope is -6.

6 is a greater number therefore causing Jenny's slope to decrease faster causing her to have less money at a much faster rate. (rate of change=slope) Jeny's slope is decreasing at a faster rate of change because she is spending more money everyday than Sandra is.

Hope this helps! Have a great day! :)

Answer:

The answer is A

Step-by-step explanation:

Help pls. Also wdym this is to short yk why so long >:/

Help pls. Also wdym this is to short yk why so long >:/

Answers

Answer:

Y= mx + b

so Y = 1/3x + 2

just substitute

Due to the answer requesting slope intercept form, one shall use the points (3,2) in order to substitute for b. Slope intercept form is formatted in y = mx + b, which m would be your slope, which in this particular problem was given; therefore, y = 1/3x +b.


Now, we shall use points (3,2) as the substitutes for the solution for b, which 3 would be the input and 2 would be y.


Therefore, 2 = 1/3(3) + b
2 = 1 + b, therefore, one would be subtracted from 2 which would give us the answer of b equaling to one. Thus, y = 1/3x + 1

Which similarity statements describe the relationship between the two triangles? Check all that apply.
Triangle C B A is similar to triangle F E D
Triangle C B A is similar to triangle F D E
Triangle B A C is similar to triangle E F D
Triangle B A C is similar to triangle E D F
Triangle A B C is similar to triangle D E F
Triangle A B C is similar to triangle D F E

Which similarity statements describe the relationship between the two triangles? Check all that apply.Triangle

Answers

Answer:

ABC is similar to DEF

ABC is similar to DFE

Step-by-step explanation:

Answer:

The last 2

Step-by-step explanation:

Got it right on Edge

Have a good day.

Simplify.
(x + 1) x 2

Answers

The answer is 2x + 2

Answer:

2x+2

Step-by-step explanation:

Open the bracket and multiply all terms in the bracket with the term out side the bracket

2*x +2*1

=2x+2

Hope it help

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