the sum
of the square of two consecutive
odd intergers is
290. Find the integers.

Answers

Answer 1

Answer:

11 & 13 or - 13 & - 11

Step-by-step explanation:

Let the integers are a - 1 and a + 1.

Sum of squares = 290

=> (a - 1)² + (a + 1)² = 290

=> a² + 1² - 2a + a² + 1² + 2a = 290

=> 2a² + 2 = 290

=> 2(a² + 1) = 290

=> a² + 1 = 290/2 = 145

=> a² = 145 - 1 = 144

=> a = ± √144 = ± 12

If a = + 12, numbers are

12 - 1 = 11 & 12 + 1 = 13

If a = - 12, numbers are

- 12- 1 = - 13 & - 12 + 1 = - 11


Related Questions

help me asap for 100 points
Which net represents this solid figure?

Answers

Answer:

its the one on the bottom left.

it has the proper demision just look at the sides and they match up

Hope This Helps!!!

Answer: The net which can represent the solid figure given in image 1 is the net in image 4.

Step-by-step explanation:

Somebody please help me on multiple step equations with parenthesis.

Answers

Answer:

k = 8

Step-by-step explanation:

8(10 - k) = 2k

First, distribute within the parenthesis,

80 - 8k = 2k

Add 8k to both sides of the equation

80 = 10k

Divide both sides by 10 to get your answer

8 = k

I hope this helps :)

Pls help me with some math

Answers

Image is blurry. Please reuploadd

10. Solve this equation: Yg + 5 = 0.
A. y = 45
B. y = 5
C. y = -5
D. y = -45

Answers

y + 5 = 0
y = -5
Good Luck.

what percentage of students were surveyed between the ages of 10-13?

Answers

Answer:

60%

Step-by-step explanation:

The total is 90 students, and 54/90 is 0.6. 0.6 is equal to 60%!

A grocer mixes peanuts that cost $1.41 per pound and walnuts that cost $2.61 per pound to make 100 pounds of a mixture that costs $1.89 per pound. How much of each kind of nut is in the mixture?

Answers

w = 60 lb (amt. of walnuts needed)

100-w = 40 lb (amt. of peanuts needed)

You and two friends were playing baseball in your backyard. Your friend hit the ball over the fence and into the neighbor's window. You and your two friends decided to evenly split the cost of repairing the window that will cost $148.89 for the glass, plus $52.50 for labor. What is your share of the total cost to replace the window?

Answers

Answer:

100.695

Step-by-step explanation:

Need help asap giving 15 points

Answers

Answer:

197 in^2

Step-by-step explanation:

See attached image

In a chess match, a win counts as 1 point, a draw counts as ½ point, and a loss counts as 0 points. After 15 games, the winner was 4 points ahead of the loser. How many points did the loser have?

Answers

Answer:

The loser had 5.5 points

The he winner had 9.5  points

Step-by-step explanation:

9.5 - 5.5 = 4

5.5 + 9.5 = 15

In a pasture are horses and chickens if there are a total of 28 animals and 80 legs how many chickens and horses

Answers

Answer:

16 horses and 12 chickens

Number of chickens and Number of horses are 16 and 12 respectively.

Number based problem:

Given that:

Total number of heads = 28

Total number of legs = 80

Find:

Number of chickens and horses

Computation:

Assume;

Number of chickens = a

Number of horses = b

So,

a + b = 28 ........ Eq1

2a + 4b = 80 ...... Eq2

From Eq1 and Eq2

b = 12

a = 16

Find out more information about 'Number of horses'.

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factor the following form

X^3+ 27=0

Answers

Use the ‘sum of two cubes’ formula (I attached a photo)

x^3 = (take the cube root bc that’s what the formula asks you to do) x

27 = (take the cube root) 3


Put the values into the formula:

(x + 3)(x^2 - 3x + 9)




Madeleine had 4 pizzas at her house. After giving some of the pizza to her neighbor, Madeleine had 2 12 pizzas left. How many pizzas did Madeleine give to her neighbor?

Answers

I don’t understand if you’re trying to say 2/12 pizza left, but if that’s the case she gave 3 3/2 pizzas to her neighbor

Which statements are true when solving x^2=81

Answers

Answer:

D.) the solution is 9

Step-by-step explanation:

9x9 = 81

What is 7/10 equivalent to write the answer in fractions

Answers

7/10 is equivalent to 3.5/5 is one

Aiko is selling books for $12 each. She wants to make more than $180 in book sales. The inequality 12b > 180 can be used to determine the number of books, b, she must sell in order to meet her goal. Which number line best represents the solution to the inequality?​

Answers

500 is the awnser experience

Answer:

The answer is B

Step-by-step explanation:

Answer these i have all the answers already just testing Tyyyyy <3

BRAINLIEST GIVEN

Answers

Answer:

1.  B

2. A

3. C

4. A

I hope this helps!

you had $22 to spend on three pretzels. After buying them you had $15.70.How much did each pretzel cost?

Answers

Answer:

Each pretzel had cost $6.30

Step-by-step explanation:

You would have to subtract 22.00 - 15.70 and that would be your answer ($6.30)

Answer:

Each pretzel cost $2.10

Step-by-step explanation:

First,

Take your original amount and subtract it by your remanding amount:

22 - 15.70 = 6.30

Then, divide by three, since we bought three pretzels:

6.30 / 3 = 2.10       or       6.30 ÷ 3 = 2.10

So, each pretzel cost $2.10

PLEASE HELP!!!,,,,,,

Answers

Answer:

The solution to the system is: (3, 2)

Step-by-step explanation:

We are given:

y = -2x + 8

and

4x - 2y = 8

We are given the "y" in this equation.

So when solving these questions, it is better to use the substitution method when solving

So we substitute "y = -2x + 8" with "y" in the equation "4x - 2y = 8

So, the equation would look like this: 4x - 2(-2x + 8) = 8

And we are solving for "x" in the equation

4x − 2(−2x + 8) = 8  (Distribute)

−2(−2x+8)  (Simplify)

4x + 4x − 16 = 8  (Combine Like Terms)

(4x + 4x) − 16 = 8  (Simplify)

8x − 16 = 8  (Add 16 to both sides)

8x - 16 + 16 = 8 + 16  (Simplify)

8x = 24  (Divide both sides by 8)

8x/8 = 24 (Simplify)

x = 3

Now that we know the "x", in this equation, we can solve for the "y"

We just substitute the "x" into the equation "y = -2x + 8"

The equation looks like this: y = -2(3) + 8

y = -2(3) + 8

Multiply −2 and 3 to get −6

y = -6 + 8

Add −6 and 8 to get 2

y = 2

(x, y) = (3, 2)

The solution to the system is: (3, 2)

The answer would be x= 3 and y=2

A slope of -5 that passes through (2,15)

Answers

Answer:

y=-5x+25

That is the answe in slope intercept form

on the number line, point b is between points a and c. the distance between points a and b is 1/3 of ac.

Answers

Step-by-step explanation:

find distance of AC first

ac= √(y2-y1)²+(x2-x1)²

since there is no y we will consider it zero

so Ac= √(16-(-8))²

ac=24

ab is 1/3 of ac so it means

24*1/3=8

so ab is 8 units

The location of point B on the number line is 0.

Given that,
on the number line, point b is between points a and c. the distance between points a and b is 1/3 of ac.

What is a number line?

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Here,
AB = 1/3 AC
AB = 1/3 (16 - (-8))
AB = 1/3 (16 + 8)
AB = 1/3 * 24
AB = 24 / 3
AB = 8
B - A = 8
B - (-8) = 8
B + 8 = 8
B = 8 - 8
B = 0

Thus, location of the point B on the number line is at 0.

Learn more about number line here:

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Helppp! you could get brainly for correct answer
You have six pizza toppings. How many different 3-topping pizzas can you make?

20
24
120
30

Answers

Answer:  Choice A

20 different pizzas

==========================================================

Explanation:

Consider 3 slots to fill. I'll label them slot A, B, C.

There are 6 choices for slot A, then 5 choices for B, and 4 for C. We count down by one each time since we cannot reuse a topping.

There would be 6*5*4 = 30*4 = 120 permutations if order mattered.

However, order doesn't matter with pizza toppings. So we must divide by 3*2*1 = 6 (this is the number of ways to arrange any group of 3 things)

We get 120/6 = 20 as the final answer

---------------------

Alternatively, you can use the nCr combination formula following these steps.

n C r = (n!)/(r!(n-r)!)

6 C 3 = (6!)/(3!*(6-3)!)

6 C 3 = (6!)/(3!*3!)

6 C 3 = (6*5*4*3!)/(3!*3!)

6 C 3 = (6*5*4)/(3!)

6 C 3 = (6*5*4)/(3*2*1)

6 C 3 = (120)/(6)

6 C 3 = 20 different pizzas possible

As the third to the last line shows, we have 6*5*4 up top and 3*2*1 down below. This matches exactly what was discussed in the previous section.

---------------------

Yet another alternative is to use Pascal's Triangle (see below) and we locate the row that has 1,6,... at the start. We circle the fourth item of this row that corresponds to 6C3 = 20

2x-5(x - 4) = - 7+ 5x – 21
Find X

Answers

Answer:

x=6

Step-by-step explanation:

2x-5x+20=-7+5x-21

-3x-5x=-7-21-20

-8x=-48

x=6

Answer:

x=6

Step-by-step explanation:

2x-5x+20=5× -28

-3x+20=5x-28

-8x=-48

x=6

check:

2x-5(2)=-30-28

12-10=2

2=2

Is it Possible for the expression 1+|a| to have a result that is less than 0?

Answers

Answer:

No

Step-by-step explanation:

Since a is in absolute value symbols, you would be adding a positive number to 1, and therefore cannot have a number lower than 0.

For example, say a = -3. We would get 1 + |-3| = 4.

Answer:

No

Step-by-step explanation:

Because the vertical lines mean the absolute value of a.

-  a negative value of a like -2 in vertical lines  has absolute value 2.

If a = 0 then absolute value = 0.

So 1+|a|   will always be positive.

please help me with these simple math please

Answers

Answer:

A.       2

      ----------

     3x^3 y^5 z

B.         49k^8 m^6

         --------------------

                  81

C.          a^9 b^3

           ---------------

              27c^12

D.         -125y^9

          --------------

                 x^6

Step-by-step explanation:

A.

12x^2 y^-4                2

-----------------  =     -----------

18x^5 yz               3x³y^5z

B.

 (9k^2 m)^-2        -81k^-4 m^-2               49k^12 m^8           49k^8 m^6

---------------     =   ----------------------     =    ---------------------   =   --------------

(7k^6m^4)            -49k^-12 m^-8              81k^4 m^2                    81

C.

 ( 4a² b² )³                 64 a^9 b^6                   a^9 b^3

-------------------    =   -------------------------   =       -------------

( 12a^-1 bc^4 )³          1728 b^3 c^12                27c^12

D.

( -5x^-2 y³ )³   =   -125 x^-6 y^9   =       -125y^9

                                                            ---------------

                                                                  x^6

I hope this helps!

I don't get my question for my homework. Here is the questions, "You have 46 gold coins, 115 diamonds, and 184 rubies. You need to put them in treasure chests, and each chest must contain the same number of each individual item. What is the greatest number of treasure chests you can fill? How many gold coins in each chest? How many diamonds in each chest? How many rubies in each chest? " This is the type of question. There is also one more problem I'm stuck on. "You and some friends took a metal detector to the beach every day for a week to search for coins. You managed to find 246 nickels, 312 dimes, and 204 quarters. When you divided them up, you realized that each person got the same exact amount of each coin with no coins remaining. How many are in your group? How many nickels did each person receive? How many dimes did each person receive? How many quarters did each person receive?" Please help me out! Thanks

Answers

Answer:

Question 1

The greatest number of treasure chest you can fill = 23

Step-by-step explanation:

Gold coins = 46

Diamonds = 115

Rubies = 184

To determine the greatest number of treasure chests you can fill, find the highest common factors of 46, 115 and 184

46 = 1, 2, 23, 46.

125 = 1, 5, 23, 115

184 = 1,2,4,8,23,46,92,184

The highest common factors of 46, 115 and 184 is 23

The greatest number of treasure chest you can fill = 23

Number of gold coins in each chest = 46/23

= 2

Number of diamonds in each chest = 115 / 23

= 5

Number of rubies in each chest = 184 /23

= 8

Question 2

Nickels = 246

Dimes = 312

Quarters = 204

Find the highest common factor of 246, 312, 204

246 = 1, 2, 3, 6, 41, 82, 123, 246

312 = 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312.

204 = 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

The highest common factor of 246, 312, 204 is 6

How many are in your group?

6 members

There are 6 members in your group that each person got the same exact amount of each coin with no coins remaining.

Number of nickels each person receive = 246 / 6

= 41

Number of dimes each person receive = 312 / 6

= 52

Number of quarters each person receive = 204 / 6

= 34

Which compound inequality is represented by the graph?

Answers

Answer:

The third option, x < -2 or x ≥ 4

Step-by-step explanation:

First, we need to interpret the graph.

There is an open circle at -2 and a closed circle at 4, which means that x does not include 2 and includes 4.

The left arrow points to numbers lower than -2, and the right arrow points to numbers greater than 4, so X is less than -2 and greater than 4.

Problem 1. 1

Jada paints a circular table that is 30 inches across.

Is the circumference of the circle or the area of the circle

more useful for finding how much paint she needs?

Circumference

Area

How much paint does she need?

square inches

Submit

??? What is it

Answers

Answer:

Minor note: A table is circular.

In this case, the area is more useful to find out how much the paint covers.

This is, because the circumference is the perimeter of the table whilst the area is the whole region of the table.

So to find out the area of this table, we must use the formula for the area of a regular circle.

A = π[tex]r^{2}[/tex]

Where 'π' represents pi(22/7 or 3.14), and 'r' represents the radius which is being squared.

But, if we see the information that we have, we can see that it gives the diameter and not the radius.

So in order to find out our radius, we must perform 1/2 of the diameter(1/2 x diameter) to find the radi.

30(diameter) x 1/2

= 15 is the radius.

Now we substitute this value into our equation, since it's the only information we need.

A = π[tex]r^{2}[/tex]

A = 3.14(15^2)

A = 3.14(225)

A = 706.5 square inches of paint is needed to cover the table.

(7x10^5)x(3x10^2) in standard form

Answers

Answer:

2.1 x 10^8

Step-by-step explanation:

The expression (7x10⁵)x(3x10²) in the standard form will be 2.1 x 10⁸.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is (7x10⁵)x(3x10²). The standard form of the expressions can be written as,

E = (7x10⁵)x(3x10²)

E = ( 7 x 3 ) x ( 10⁵⁺²)

E = 21 x 10⁷

E = 2.1 x 10⁸

Hence, the standard form is 2.1 x 10⁸.

To know more about an expression follow

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a
Eight people want to enter an elevator
with a maximum weight capacity of
500 kilograms. Their weights in kilograms
are 81, 97, 69, 75, 74, 96, 86, and 53.
What is their total weight? How many
people should wait?

Answers

Step-by-step explanation:

total weight = 81 + 97+69+75+74+96+86+53 = 613kg

2 people will have to wait

common fruction
2/3
[tex]2 \div3 + 4 \div 3[/tex]

Answers

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[tex] \frac{2}{3} + \frac{4}{3} = \frac{6}{3} = 2 \\ [/tex]

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