Three positive integers a, b, and x form an O'Hara triple (a,b,x) if and only if √a+√b=x. For example, (1,4,3) is an O'Hara triple because √1+√4=3. If (36,25,x) is an O'Hara triple, determine the value of x.

Answers

Answer 1
Answer:  x = 11

Work Shown:

[tex]\sqrt{a} + \sqrt{b} = x\\\\\sqrt{36} + \sqrt{25} = x\\\\6+5 = x\\\\11 = x\\\\x = 11[/tex]

Answer 2

The required value in (36,25,x) is an O'Hara triple, of x is 11.

Three positive integers a, b, and x form an O'Hara triple (a,b,x) if and only if √a+√b=x. For example, (1,4,3) is an O'Hara triple because √1+√4=3. If (36,25,x) is an O'Hara triple,  To determine the value of x.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements.


From example,
(1,4,3) is an O'Hara triple because √1+√4=3, in the example sum of the square roots of the first two numbers is equal to the third number. so the value of x in  (36,25,x)  can be determined in the same manner.

Following the example,
√36+√25=x
6 + 5 = x
x = 11

Thus, the required value in (36,25,x) is an O'Hara triple, of x is 11.

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Related Questions

FREE BRAINLIEST
Write the inequality that matches the situation. The sum of twice a number and 5 is at most 15.

Answers

Answer:

See Below

Step-by-step explanation:

Ok, so you got:

The sum of twice a number and 5 is at most 15

Sum means we are going to add two things together, soo . .

___+___

Is at most means we are going to have:

___+___≤ ___

Twice a number  and 5= 2x(a variable)  + 5

(I'm going to use a as my variable, use whichever you like or are given)

2a + 5 ≤ __

Which will result in being greater than or equal to 15

So, your final equation would be:

2a + 5 ≤ 15

A submarine was twenty-five feet below the surface of the water and descended an
additional twenty-two and a half feet. Eventually, the submarine ascended ten feet
towards the surface of the water. What is the location of the submarine in the
water?
-37 feet below the surface of the water.
-57.5 feet below the surface of the water.
- 12.5 feet below the surface of the water.
-37.5 feet below the surface of the water.

Answers

Answer:

37.5

Step-by-step explanation:

you take 25 + 22.5 = 47.5 then you -10 and you get 37.5! Hope this helps!

the difference of eight and twice a number

Answers

Answer:

8-2x

Step-by-step explanation:

Solve for x. (Type in the number ONLY)

Answers

the answer should be 6 since it’s a isosceles triangle.
The answer above is correct

I need help with this equation it's confusing

Answers

3 - 4x= -89 is the equation i hope it's right

Without commas ... it could be:
3 - 4x = -89 or
4x - 3 = -89 or
(3-4) x = -89 or
(4-3) x = -89...

Write it as a verbal expression 27-2x

Answers

Noah has $27 dollars and likes cookies but they are $2 each

At a basketball game, 21% were supporting the visiting team. If total number of people attending the game was 1300, how many people were supporters of the home team?​

Answers

Answer:

1300x0.21= 273 people

1300-273= 1027 people are supporters of the home team

Step-by-step explanation:

Answer:

1027

Step-by-step explanation:

21%  1300=273

1300-273=1027

Julio, Kira, and Ida each want to buy art supplies. Julio wants to spend between $6 and $7. Kira wants to spend between $4 and $6. Ida wants to spend between $8 and $9. Drag items to the box under each person's name to show what they could have bought. Julio, Kira, and Ida each want to buy art supplies. Julio wants to spend between $6 and $7. Kira wants to spend between $4 and $6. Ida wants to spend between $8 and $9. Drag items to the box under each person's name to show what they could have bought.

Answers

Answer: image below is the answer

Step-by-step explanation:

Suppose Julio started with a drawing pad and a pencil.

$1.80 + $1.20 = $3.00  <  $1.86 + $1.23  <  $2.00 + $1.50 = $3.50

Double these supplies will cost between 2 × $3.00 and 2 × $3.50.

Suppose Kira started with 2 pencils.

2 x $1.23 = $2.46

Think about more items Kira could buy so that her total cost is more than $4 but less than $6.

Suppose Ida started with 1 drawing pad and 2 pencils.

$1.80 + ($1.10 x 2) = $4.00  <  $1.86 + ($1.23 x 2)  <  $2.00 + ($1.25 x 2) = $4.50

Think about more items Ida could buy so that her total cost is more than $8 but less than $9.

Answer

Julio: $6 - $7

one paintbrush

two drawing pads

Kira: $4 - $6

two pencils

one drawing pad

Ida: $8 - $9

two pencils

three drawing pads

There are 120 Calories in a 34-cup serving of cereal. How many Calories are there in 6 cups of cereal

Answers

Answer: 960 calories in 6 cups of cereal

Step-by-step explanation:

Answer:

960 calories ✌️✌️.. . ..


1) When is a relation a function? What are some
ways to tell if a relation is a function?

Answers

Answer:

How do you figure out if a relation is a function? You could set up the relation as a table of ordered pairs. Then, test to see if each element in the domain is matched with exactly one element in the range. If so, you have a function!

Step-by-step explanation:

Quick algebra question 15 points and will mark brainliest if correct

Answers

Answer:

I belive it would be c

Step-by-step explanation:

because if you read the question it says the lowest point altho they are equale it still makes sence to put c

Ediths bird feedercontains 4 1/2 pounds of birdseed and decreases by 3/4 pound each day Do you los Verdes peter contains 4 1/2 pounds of birdseed and decreases by 3/4 pound each dayJune's birdfeeder contains 3 pounds of birdseed and decreases by 1/4 pound each day if need a person as remove seeds from the birdfeeder how many days will it take for Edith and Junes birdfeeders to contain the same amount of bird seed

Answers

Answer:

It will take 3 days for their bird feeders to contain the same amount of bird seed

Step-by-step explanation:

Let the number of days it will take their bird feeder to contain the amount of bird seed be x

For Edith, the amount of birdseeds that will be left after x days will be;

4 1/2 - 3/4(x)

= 9/2 - 3x/4

For June, the amount of birdseeds that will remain after x days will be;

3 - 1/4(x)

= 3 - x/4

Since after x days, the amount of birdseeds will be equal;

Mathematically;

9/2 - 3x/4 = 3 - x/4

Let’s work with decimals to make things easier;

4.5 - 0.75x = 3 - 0.25x

4.5 -3 = -0.25x + 0.75x

1.5 = 0.5x

x = 1.5/0.5

x = 3

A 32-cup container of disinfectant costs $19.20. What is the price per quart?

Answers

32 us cups = 8 us liquid quarts
Then $19.20 divided by 8 is 2.4

Answer: $2.4 per quart

Hope it works! Good luck!

Find the slope -16x=-6-2y

Answers

The answer is 8; m=8

Please can someone help with this question ASAP

Answers

Answer:

yes

Step-by-step explanation:

three is a factor of 12 because you can multiply it by 4 and you get 12 (a factor is a number you can multiply by another to give you a product)

In a class full of men and women, 4/9 of the class are women. What is the ratio of men to women in its simplest form?

Answers

Answer:

5:4

Step-by-step explanation:

Since 4/9 of the people are women, that leaves 5/9 as men.

The equation of a line is -2 x+ 5y = -20.
What'is the x-intercept of the line?

Answers

Answer:

-20= 5y+ -2

Step-by-step explanation:

all you have to do it flip it

The grades on a history midterm at Gardner Bullis are roughly symmetric with μ = 69 μ=69mu, equals, 69 and σ = 3.5 σ=3.5sigma, equals, 3, point, 5. Ishaan scored 65 6565 on the exam. Find the z-score for Ishaan's exam grade. Round to two decimal places.

Answers

Answer:

-1.14

Step-by-step explanation:

The given information in statement is

mean=μ=69

standard deviation=σ=3.5

Let X be the Ishaan's exam score

X=65

The Z score can be computed as

[tex]z=\frac{x-mean}{standard deviation}[/tex]

[tex]z=\frac{65-69}{3.5}[/tex]

z=-1.1429

z=-1.14 (rounded to two decimal places).

Thus, the computed z-score for Ishaan's exam grade is -1.14.

Answer:

-2.67

Step-by-step explanation:

khan academy

Eight students in a small class made the test scores shown in the table. What was the mean absolute deviation for the class?

Answers

the mean is unknown because you did not attach any pictures or insert the values

The mean absolute deviation for the class is,  10.96

What are the types of representing data?

Data refers to the elements that make up persons, things, events, and ideas. It could be an integer, a title, or anycast. Data must be tabulated after collection in order to study their prominent characteristics. The presentation of data is the name given to such a configuration.

Bar Chart, Histogram, Line Graph, Pie Chart, Frequency Distribution Table.

Given,

Student Score

Tom 89

Jon 72

Sue 98

Jill 78

Zeke 62.

Therefore, The mean of the data set is,

= 399/5

= 79.8.

Now,

Total of data value - mean = 54.8

54.8/5

= 10.96

Q. Five students in a small class made the test scores shown in the table.

Student Score

Tom 89

Jon 72

Sue 98

Jill 78

Zeke 62

What was the mean absolute deviation for the class?

A) 10.96

B) 35.44

C) 52.87

D) 79.80

learn more about mean absolute deviation here :

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All sweaters at a store are on sale at a 20% discount. What would be the sale price of a sweater regularly priced $402 State what strategy and tool you will use to answer the question, explain your choice, and then find the answer.​

Answers

Answer:

A sweater was on sale at 40% off the regular price

Step-by-step explanation:

what is the distance between the two points A(6,-2) and B(-2,4)

Answers

Answer:

[tex]d = 10[/tex]

Step-by-step explanation:

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in the 2 coordinates into the distance formula to find distance d:

[tex]d = \sqrt{(-2-6)^2+(4-(-2))^2}[/tex]

[tex]d = \sqrt{(-8)^2+(4+2)^2}[/tex]

[tex]d = \sqrt{64+(6)^2}[/tex]

[tex]d = \sqrt{64+36}[/tex]

[tex]d = \sqrt{100}[/tex]

[tex]d = 10[/tex]

Answer:

10 units

Step-by-step explanation:

( x1, y1) =A(6,-2)

(x2, y2) =B(-2,4)

Using distance formula,

AB ^2 = (x2-x1) ^2 +(y2-y1) ^2

=(-2-6)^2 +(4+2)^2

=64+36

=100

Therefore, AB=10 units

Delicious Doing caterers events at a flat rate $500 plus $100 per hour after the first 2 hours. Cathy's Catering has a flat rate of $620 per event plus $70 per hour after the first three hours. What is the most amount of hours you could hire Cathy's Catering for and it cost less than Delicious Doings? Write an inequality that could be used to solve this problem

Answers

Answer:

3 hours

Step-by-step explanation:

Let the number of hours worked = x

Delicious Doing caterers events at a flat rate $500 plus $100 per hour after the first 2 hours.

$500 + $100 × x

500 + 100 × 1

After the first 2 hours = $500 + $100

= $600

After the first 3 hours = $500 + $100 × 2

= $700

Cathy's Catering has a flat rate of $620 per event plus $70 per hour after the first three hours.

$620 + $70 × x

620 + 70x

After the first 3 hours

= $600 + $70

= $670

What is the most amount of hours you could hire Cathy's Catering for and it cost less than Delicious Doings?

The Inequality is given as:

Cathy's Catering for < Delicious Doings

620 + 70x < 500 + 100x

Collect like terms

620 - 500 < 100x - 70x

120 < 30x

120/30 < x

4 < x

Therefore, the most amount of hours the most amount of hours you could hire Cathy's Catering for and it cost less than Delicious Doings is 3 hours

What is the justification for each step in the solution of the equation 2/3x-1/3=2(x+2)

Answers

Answer:

-13/4

Step-by-step explanation:

The equation of the line in this graph is y=____ x + ____​

Answers

unrelated but i love the pfp

I need help to change the subject of the formula to W

Answers

Answer:

[tex]w=\frac{h}{m} -\frac{3}{3}[/tex]

I hope this is what you were asking for :)

simplify 6/2√3+√6 + √6/√3+√2 -4√3/√6-√2​

Answers

[tex]\frac{6}{2\sqrt{3}} + \sqrt{6} + \sqrt{6}\sqrt{3} + \sqrt{2} - \frac{4\sqrt{3}}{\sqrt{6}} - \sqrt{2}\\\frac{3}{\sqrt{3}} + \sqrt{6} + \sqrt{18} + \sqrt{2} - \frac{4\sqrt{3}\sqrt{6}}{\sqrt{6}\sqrt{6}} - \sqrt{2}\\\frac{3\sqrt{3}}{\sqrt{3}\sqrt{3}} + \sqrt{6} + \sqrt{18} + \sqrt{2} - \frac{4\sqrt{18}}{6} - \sqrt{2}\\\frac{3\sqrt{3}}{3} + \sqrt{6} + \sqrt{18} + \sqrt{2} - \frac{2\sqrt{18}}{3} - \sqrt{2}\\\sqrt{3} + \sqrt{6} + \sqrt{3^2 \cdot 2} + \sqrt{2} - \frac{2\sqrt{3^2 \cdot 2}}{3} - \sqrt{2}\\[/tex]

[tex]\sqrt{3} + \sqrt{6} + 3\sqrt{2} + \sqrt{2} - \frac{2 \cdot 3\sqrt{2}}{3} - \sqrt{2}\\\sqrt{3} + \sqrt{6} + 3\sqrt{2} + \sqrt{2} - \frac{6\sqrt{2}}{3} - \sqrt{2}\\\sqrt{3} + \sqrt{6} + 3\sqrt{2} + \sqrt{2} - 2\sqrt{2} - \sqrt{2}\\\sqrt{3} + \sqrt{6} + \sqrt{2}[/tex]

A side of the triangle below has been extended to form an exterior angle of 118°. Find the value of x.

Answers

Answer:

62 degrees

Step-by-step explanation:

the total angle of a straight line like this hypotenuse would be 180. So it's 180-118=62

A baking class had 45 students on Monday and only 32 students on Tuesday. What was the change in percent? (Round to the nearest hundredths)

Answers

Answer:

28.89 percent

Step-by-step explanation:

45-32 is 13 and 13 is 28.89 percent of 45

Hope this helped!

Three consecutive integers have a sum of -21. Which equation can be used to find the value of the three numbers?
X+X+ X=-21
LS
X+ 2x + 3x = -21
O x+(x+1)+(x+2) = -21
Ox+(x+2)+(x+4)=-21
Mark this and return
Save and Exit
Next
Submit

Answers

Answer: x + (x + 1) + (x + 2) = -21

Step-by-step explanation:

Will Mark Brainliest if show work. FAST!! PLSS? 6x-4=4x-20 Solve for X

Answers

Answer:

x= -8

collect like term than divide both sides

6x-4x = -20+4

2x= -20+4

2x=-16

x= -8

Answer:

x = -8

Step-by-step explanation:

6x-4=4x-20 Solve for X

6x-4x = -20+4

2x = -16

x = -8

proof

6(-8) - 4 = 4(-8) - 20

-52=-52

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