The ratio of two positive numbers is 3:4. The sum
of their squares is 400. What is the sum ofthe num-
bers?​

Answers

Answer 1

Answer:

12 and 16.

Step-by-step explanation:

Let both positive numbers be x and y.

3/4 = x/y....... equation 1

x² + y² = 400..... equation 2

From equation 1

3/4 = x/y

Cross multiply

3y = 4x

Divide both sides by 3

y = 4x/3

Substitute y = 4x/3 into equation 2

x² + y² = 400

x² + (4x/3)² = 400

x² + 16x²/9 = 400

Multiply through by 9

9x² + 16x² = 3600

25x² = 3600

Divide both sides by 25

x² = 3600/25

x² = 144

Take the square root of both sides

x = √144

x = 12

Substitute x = 12 into equation 1

3/4 = x/y

3/4 = 12/y

Cross multiply

3y = 12 x 4

3y = 48

Divide both sides by 3

y = 48/3

y = 16


Related Questions

If the x-value repeats and the y does not, is it a function?

Answers

Answer:

If X repeats and y does not it is not an example of a function. But if the y repeats and has two different x values that can be known as a function.

For an example ( 1 , 3) and (1, 4) thats not an example of a function because the x value is repeating but if its ( 1, 4) and (2,4) a thats

a function because no x value is repeating the x value is known as an independent value. Does that make sense?

"This relation is definitely a function because every x-value is unique and is associated with only one value of y. So for a quick summary, if you see any duplicates or repetitions in the x-values, the relation is not a function."

If an x-value in a relation repeats, the y-value must also repeat for that x-value to make the relation to be defined as a function.

For a relation to be called a function, the following holds true:

Each x-value (input) has it's own unique y-value (output).

A x-value cannot give two different y-values.

If an x-value repeats, the corresponding y-value must repeat.

Therefore, if the x-value in a relation repeats, the y-value must also repeat for that x-value for the relation to be defined as a function.

Learn more here:

https://brainly.com/question/17184769

15 people gathered to watch a baseball game. While talking,
they realized that 6 of them were Boston Red Sox fans.
What is the probability that the favorite team of a randomly
selected baseball fan is the Boston Red Sox?
Enter numeric answer only. Round to the nearest tenth.

Answers

Answer:

6/15 or 2/5

Step-by-step explanation:

Find the highest common factor of 24 and 60

Answers

12 is correct. Hope this helps!!

Please solve for X.
52–r= 5-42

Answers

Answer:

-89

Step-by-step explanation:

The cost of 10 balls is 280. Find the cost of 19 balls.​

Answers

Answer:

$532

Step-by-step explanation:

Hey There!

So to solve this problem the first thing that we want to do is find the cost of 1 ball

To do so we divide the total cost of 10 balls by 10

280/10=28 so each ball cost 28

now to find the cost of 19 balls we multiply the cost of 1 ball by 19

18x28=532

thus meaning 19 balls cost $532

Answer:

$532

Step-by-step explanation:

We need to find the cost of 1 ball and then multiply it by 19, here is the math:

280/10=28

Now we know that 28 is the cost of 1 ball.

28 x 19=532

The cost of 19 balls is $532

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

-5x + 26 = -44

Answers

Answer:

14

Step-by-step explanation:

-5x+26=-44

-26        -26

-5x=-70

5       5

x=14

Answer:

x=14

Step-by-step explanation:

Let's solve your equation step-by-step.

−5x+26=−44

Step 1: Subtract 26 from both sides.

−5x+26−26=−44−26

−5x=−70

Step 2: Divide both sides by -5.

−5x−5=−70−5x=14

Answer:

x=14

Given the graphs of f(x) = -x + 2 and g(x) = 5x – 4, what is the solution to the equation f(x) = g(x)?

A) -4
B) 0
C) 1
D) 2​

Answers

Answer:

c) 1

Step-by-step explanation:

f(x) = g(x)

-x+2 = 5x-4

+x       +x

2 = 6x -4

+4      +4

6 = 6x

(divide both sides by 6)

1 = x

The correct answer to his problem is C number 1.

What is –9.2(8x – 4) + 0.7(2 + 6.3x) simplified?
–69.19x – 32.39
–69.19x + 38.2
–72.2x + 41.21
75x – 338.2

Answers

Answer:

–69.19x + 38.2

Step-by-step explanation:

-9.2(8x - 4) + 0.7(2 + 6.3x)....distribute thru the parenthesis

-73.6x + 36.8 + 1.4 + 4.41x ...combine like terms

(-73.6x + 4.41x) + (36.8 + 1.4) =

-69.19 + 38.2 <====

hope it helps!!

tell me if I got it wrong

Answer:

–69.19x + 38.2

Step-by-step explanation:


Joanna is reading a storybook. The ratio of the number of pages she read to
the pages that remain to be read is 7:3. If the book contains 500 pages in all,
how many pages did Joanna read and how many pages remain to be read?

Answers

Answer:

The amount of pages that remain to be read is 150 pages

Step-by-step explanation:

Okay if we know it's in 7:3 ratio we can easily add them both to get 10, then divide 10 by 500 to get 50. SO we now know that 50 is 1 unit and since the ratio says 3 units is the answer, we multiply 50 by 3 to get 150.

What is Pythagoras's equation?

Answers

Answer:

[tex]a^{2} +b ^{2} =c^{2}[/tex]

Step-by-step explanation:

a & b = the sides

c = hypotenuse

pythagorean theorem is used to find the missing length of a triangle not always tho, like if you have a 30°60°90° triangle or a 45°45°90° triangle

Answer:

a^2 + b^2 = c^2    

a = side of right triangle

b = side of right triangle

c = hypotenuse

Step-by-step explanation:

hope this is helpful! God bless you!!

rename 3/100 happppy ​

Answers

3/100 is 0.03 in a decimal and 3% in a percentage form

10a3 what is the vocabulary for 10

Answers

Context clues and look it up! we are here for moral support

1/2r-8=5 solve for r

Answers

Step-by-step explanation:

r-16=10

r=10+16

r=26

I hope this helps.

Answer:

r = 26

Step-by-step explanation:

Which of the following is an advantage of using stratified random sampling?
A-Stratified random sampling saves time and money.
B-Stratified random sampling requires knowledge of the entire population.
C-Stratified random sampling can be used even when there is not a list of the population
D-Stratified random sampling provides more precise estimates than simple random sampling.

Answers

the answer would be D, i am not 100 sure tho

Answer:

A - Stratified random sampling reduces sampling variability.

Step-by-step explanation:

saw it on the review

Find the value of the variable

Answers

Answer:

x=6

Step-by-step explanation:

I would look at this triangle and notice that x can be solved by setting up a ratio.

I generally put the short side of the triangle on the top and the long side on the bottom

4/x = x/9

You then cross multiply to get 36=x^2, or +-6=x

A length of a triangle cannot be negative, so we are left with the answer x=6

a) What type of correlation is shown in diagram A?
b) What type of correlation is shown in diagram B?
c) What type of correlation is shown in diagram C?

Answers

Answer:

A = strong negative correlation

B = positive correlation

C = very weak or no correlation

Step-by-step explanation:

Scatter plot A:

A clear linear trend line could be observed having a negative slope ; the nature of the slope gives the nature of the correlation (positive or negative). Since the slope is negative then we have a negative correlation. The linear trend line is almost straight with only few points marginally missing the best fit line. Hence. We can conclude to have a strong negative correlation.

Scatter plot B :

Has a positive slope, and hence a positive correlation. The best fit line miss a few points but the linear trend of the plot is still observable. Hence, we can conclude to having a fairly strong positive correlation.

Scatter plot C :

From the graph, no linear trend can be observed and hence it is fit to say that no correlation exists between the points.

Simplify (5y-6)-(4-7y)

Answers

The answer is 12 − 10

please answer the two questions on the photo

Answers

Answer:

a) 7 tiles

b)4 1/3 tiles*

Step-by-step explanation:

*you would need 5 tiles if the answer isn't supposed to be a fraction. 4 1/3 is the exact amount but if they are asking for whole tiles you need to put 5. since they didn't actually specifiy that i don't think you have to worry about it. i would go with 4 1/3 tiles

33 pieces of candy were split among friends. If each
person received two pieces, and there were 7 leftover,
how many people received a piece of candy?

Answers

33-7=26/2=13, so there were 13 friends

Suppose that there are 630 seats in a row. If the person to be seated is needed to sit next to someone, then what is the fewest number of seats that need to be occupied?

Answers

Answer:

Its 210

Step-by-step explanation:

The sum of two numbers is 23. Twice one number increased by 6 is the same as 4 times the other number decreased by 2. What is the largest of the two numbers?

Answers

Answer:

One number is 4.2, the other is 18.8

Step-by-step explanation:

1.)  x+y=23

    (x+6y)x2=4

2.) (x+6y)x2=4   =   2x+12y=4

3.)Use elimination/substitution to solve

     2x+12y=4  =   x+6y=2  =  x=2-6y

     2-6y+y=23

4.)Solve for y

     2-5y=23 -> -5y=21 -> y=4.2.

5.)Solve for x

    x+4.2=23

    x=18.8

I may be wrong so let me know if I am

The perimeter of square WXYZ is 124. Find the length of WX



Please I need asap

Answers

Answer:

31

Step-by-step explanation:

124 / 4 = 31

What is the domain and range of y = | x - 4 |

Answers

Step-by-step explanation:

the answer is y-x=4............

I think of a number, take away 7 and my answer is 15.​

Answers

Answer:

The number is 22.

Step-by-step explanation:

Set up an equation:

X - 7 = 15

Solve for x:

X (-7+7) = 15 + 7

X=22

Hope this helps! have a great day!

paul made a list of chores he needs to complete before his dad comes home from work at 6:30 what is the latest time paul can do his chores before his dad comes home

Answers

Answer:

c

Step-by-step explanation:

just count

Answer:

C

Step-by-step explanation:

Problem 2
Label the diagrams that show these two methods for calculating 19x50

Answers

Okay but where is the pick?

At Kirby Middle School, some students were surveyed to see which social
media app they used the most. The results are shown below.
App Number of Students
Face
8
Snap
22
Insta
20
Solve and explain how to calculate what percent of students used Snap the
most?

Answers

Answer:

Kirby Middle School

The percentage of students who used Snap the most is given as:

= 44%

Step-by-step explanation:

a) Data and Calculations:

App   Number of Students

Face          8

Snap        22

Insta        20

Total      50

The percentage of Snap users = Number of Snap users/Total users * 100

= 22/50 * 100 = 44%

b) This represents the proportion of all the students surveyed about the use of social media app.  Since 22 students used Snap out of 50, it means that 44% of the survey sample used Snap.  This is against 16% (8/50) who used Face and 40% (20/50) who used Insta.

find the ratio of 81 to 108​

Answers

Answer: 3:4

Step-by-step explanation:

Answer:

hope it becomes helpful to you ☺️☺️

good luck

Hi,my name is tk and this is a trick question what does 190×1,000​

Answers

Answer:

Is this a joke? Or do I actually solve this lol

Step-by-step explanation:

Answer:

190,000

Step-by-step explanation:

you multiply 19×1 and then add the four zeros

Please help im in desperate need Find the value of the expression below for h= 6.


h− 2


A 4 B 8 C 12

Answers

A is the right answer
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