Compute x/y if

x + 1/y = 4 and

y + 1/x = 1/4

Please explain the process on how to solve it- I'll give brainliest!

Answers

Answer 1

Answer:

Y = 1/4x-1

X = 4y-1

Step-by-step explanation:

layout the equations :

x+1/y = 4        y+1/x = 1/4

solve the equations, remember to switch sides switch signs solving the equations will give us the value of the letter

x+1/y = 4

x+1 = 4y

x=4y-1

***

y+1/x = 1/4

y+1  = 1/4x

y = 1/4x-1

Answer 2

Let first consider the equations one by one and will be solving one by one ;

[tex]{:\implies \quad \sf x+\dfrac{1}{y}=4}[/tex]

Multiplying both sides by y will lead ;

[tex]{:\implies \quad \sf xy+1=4y}[/tex]

[tex]{:\implies \quad \boxed{\sf xy=4y-1\quad \cdots \cdots(i)}}[/tex]

Now, consider the second equation which is ;

[tex]{:\implies \quad \sf y+\dfrac{1}{x}=\dfrac14}[/tex]

Multiplying both sides by x will yield

[tex]{:\implies \quad \sf xy+1=\dfrac{x}{4}}[/tex]

[tex]{:\implies \quad \sf xy=\dfrac{x}{4}-1}[/tex]

[tex]{:\implies \quad \boxed{\sf xy=\dfrac{x-4}{4}\quad \cdots \cdots(ii)}}[/tex]

As LHS of both equations (i) and (ii) are same, so equating both will yield;

[tex]{:\implies \quad \sf 4y-1=\dfrac{x-4}{4}}[/tex]

Multiplying both sides by 4 will yield

[tex]{:\implies \quad \sf 16y-4=x-4}[/tex]

[tex]{:\implies \quad \sf 16y=x}[/tex]

Dividing both sides by y will yield :

[tex]{:\implies \quad \boxed{\bf{\dfrac{x}{y}=16}}}[/tex]

Hence, the required answer is 16


Related Questions

Pls help me thank you

Answers

Answer:

140.4ft^2

Step-by-step explanation:

since all four sides are equilateral triangles, you only need to find one triangle and multiply by 4.

area of triangle = 0.5×base×height = 0.5×7.8ft×9ft =35.1ft^2

surface area of pyramid= 35.2ft^2 × 4 = 140.4ft^2

The graph of the equation y=x²-2x-8 is a parabola. What is the equation of the axis of symmetry?

Answers

Answer:

x=1

Step-by-step explanation:

y=x²-2x-8

First, we solve for the vertex

The equation for the vertex is -b/2a

Substitution:

-b/2a

=-(-2)/(2*1)

=2/2

=1

Therefore the equation for the line of symmetry is x=1

Hope this helps!

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.

Can someone help me with this pls

Answers

Answer:

33.8

Step-by-step explanation:

1) Use Phythagoras theorem to get RS ↓

[tex]9.1 ^{2} + 6 ^{2} = 118.81 \\ \sqrt{118.81 } = 10.9[/tex]

2) RS = RQ

therefore, to get the perimeter, you'll have to total up the sides of the triangle ↓

[tex]rs + rq +qt + ts \\ = 10.9 + 10.9 + 6 + 6 \\ = 33.8[/tex]

Hope this helps =)

Answer:

33.8

**Brainliest would be appreciated**

Step-by-step explanation:

hellllllllllllllllllllllp meeeeeeeeeeeeeeeeeeeee

Answers

Answer:

Number 1,2,3

Low:10,200,8.5

High:55,260,9.3

Median:35,230,9.0

Lower Quantile:15,215,8.9

Upper Quantile:45,240,9.2

Interquantile Range:30,25,0.3

Box and whisker plots I see well in the middle is your median then u have the uppper and lower quartile and for the median of the last page put of all the numbers from least to greatest and mark each one both times on each side and u should find ur median.

help pls with this problem

Answers

Answer:

So, based on what I can see,

ON X FOR EACH

-from -7 to -3 (x) it is INCREASING

-from -3 to -1 it is INCREASING DRAMATICALLY

-from -1 to 1 it is DECREASING

-from 1 to 3 it is INCREASING

-from 3 to 5 it is DECREASING

-from 5 to 7 it is remaining CONSTANT.

If on a scale drawing 5 inches represents 80 feet, then 3/4 inch would represent how many feet?
16 feet
8 feet
12 feet
4 feet

Answers

It would represent 12 feet

Answer:

12 feet

Step-by-step explanation:

80 / 5 = 16

1 inch = 16

16 / 4 = 4

4 * 3 = 12

please help this is difficult

Answers

Answer:

iv answered this question for you already in the other one

Step-by-step explanation:

hope you have a good day

In the diagram, lines r and s are parallel to each other and perpendicular to transversal line t. Line w is a transversal to lines r and s. Use properties of special angles, formed by parallel lines, perpendicular lines and their transversals, to describe the relationship between the angles. Choose all of the situations that correctly describe the relationship between the angles. Note: Figure is not drawn to scale.



s || r ; s ⊥ t ; r ⊥ t

line w is a transversal

m∠7=72°

10 and 14

(MULTIPLE CHOICE)
supplementary angles
The angles do not share a special relationship.
vertical angles
right angles
equal angles
alternate exterior angles
same side interior angles
alternate interior angles
corresponding angles

Answers

Answer:

Part 1)

Part 2)

Part 3)

Part 4)

Part 5)

Part 6)

Part 7)

Part 8)

Part 9)

Part 10)

Step-by-step explanation:

Part 1) Find the measure of angle 7

we know that

----> by corresponding angles

we have

----> given

therefore

Part 2) Find the measure of angle 4

we know that

----> by supplementary angles (form a linear pair)

we have

substitute

Part 3) Find the measure of angle 6

we know that

----> by alternate exterior angles

we have

therefore

Part 4) Find the measure of angle 1

we know that

----> by vertical angles

we have

therefore

Part 5) Find the measure of angle 16

we know that

----> by supplementary angles (form a linear pair)

we have

---> given

substitute

Part 6) Find the measure of angle 18

we know that

----> by alternate interior angles

we have

therefore

Part 7) Find the measure of angle 21

we know that

----> by alternate exterior angles

we have

therefore

Part 8) Find the measure of angle 10

step 1

Find the measure of angle 14

we know that

----> by supplementary angles (form a linear pair)

we have

substitute

step 2

we know that

---> sum of interior angles of a triangle

we have

substitute

step 3

Find the measure of angle 10

we know that

----> by vertical angles

we have

therefore

Part 9) Find the measure of angle 11

we know that

----> by supplementary angles (form a linear pair)

we have

substitute

Part 10) Find the measure of angle 12

see Part 8)

Step-by-step explanation:

You are weighing 3 boulders. 1 weighs one-quarter of a ton, 1 weighs 8,112 ounces, and 1 weighs 505 pounds.
Which one is heaviest, and which is lightest?

Answers

Answer: 8,112oz heaviest, quarter ton lightest
Work:
Quarter ton= 500 lbs
8,112 oz=507 lbs

Brainliest, and a lot of points, please help! :|

Answers

Answer:

doc tor

Step-by-step explanation:

Answer:

Doc   tor

Step-by-step explanation:

Two syllable word

I'll give brainiest
-if u answer the question could you tell me how you got it tyy:)


The figure is the net for a rectangular prism.

What is the surface area of the rectangular prism represented by the net?



Enter your answer in the box.

Answers

Answer:184 cm^2

Step-by-step explanation:

10*6*2=120

6*2*2=24

2*10*2=40

120+40+24=184

Answer:

184 cm²

Step-by-step explanation:

You can find the surface area of this net by finding the area of each rectangle and adding them up.

The top rectangle has dimensions of 10 and 6. You multiply them to get 60. Add in the units and the area of the top rectangle is 60 cm².

The rectangle under the one we just found the area for has the dimensions 10 and 2. Find the area. A = 20 cm².

The two rectangles to the side of the second rectangle have the dimensions of 6 and 2. The area of one is 12 cm². This means the two rectangles added together are 24 cm².

The next rectangle has the same dimensions as the first rectangle we solved. Therefore, the area is the same, which is 60 cm².

The last rectangle has the same dimensions as the second rectangle we solved. Therefore, the area is the same, which is 20 cm².

We will add the numbers altogether to find the surface area.

60 + 20 + 24 + 60 + 20 = 80 + 24 + 80 = 104 + 80 = 184 cm²

Find the next 4 terms of the following arithmetic sequence:

-7,-5.5,-4,-2.5

Answers

Answer:

-1, 0.5, 2, 3.5

Step-by-step explanation:

1.5 is added to the previous value for each value of the sequence. -2.5+1.5 is -1; -1+1.5 is 0.5, etc.

Answer:

-1, 0.5, 2, 3.5

Step-by-step explanation:

y=x+1.5

Hope this helps! :D

last week you walked your dog 12.405 miles. this week you walked your dog 15 miles. how many fewer miles did you walk last week than this week?

Answers

fewer miles = difference between the two miles in the walks.
= (15 - 12.405)miles = 2.595

The dog walked 3 miles less in last week than this week.

What is approximation?

An approximation is anything that is similar, but not exactly equal, to something else. A number can be approximated by rounding.

Given that, last week you walked your dog 12.405 miles. this week, you walked your dog 15 miles.

The dog walked in last week approx = 12 miles

The dog walked this week = 15 miles

The  fewer miles did he walked = 15-12 = 3

Hence, the dog walked 3 miles less.

For more references on approximation, click;

https://brainly.com/question/29669607

#SPJ1

PLEASE HELP ASAP ILL GIVE BRAINLIEST IF CORRECT

△ABC has interior angles with measures x°, 100°, and 70°, and △DEF has interior angles with measures y°, 70°, and 50°.

Using the given information, which statement is true?

The two triangles are not similar because x≠y .

The triangles are similar because they each have an interior angle with a measure 70°.

The two triangles are not similar because the interior angles are congruent but the side lengths are different.

The two triangles are not similar because y = 60 so it is impossible to have three congruent angles.

Answers

So first of all you can find x and y because all triangles have interior angles that add up to 180 degrees.

X= 10 degrees
Y= 60 degrees

Looking at the options, we see that the first statement is true. And if the angles are not equal, the triangles are not able to be similar.

7th grade math i mark as brainliest

Answers

Answer: 64mi^2

Step-by-step explanation:

(2*5) +(6*8)+((3*4)/2) = 64mi^2

can someone explain how to do circles and circumference
(geometry)

Answers

Answer:

Radius:

radius is always half the length of its diameter. For example, if the diameter is 4 cm, the radius equals 4 cm ÷ 2 = 2 cm.

Diameter:

2 times the radius is the circle's diameter.

Circumference:

The formula is simply this: C = πd. In this equation, "C" represents the circumference of the circle, and "d" represents its diameter. That is to say, you can find the circumference of a circle just by multiplying the diameter by pi.the formula for circumference of a circle is 2 x pi x r(radius).

Step-by-step explanation:

Hoped this helped

A bakery made 9 cakes using 3 bags of flour. The bakery uses the same relationship
between cakes made and the amount of flour used to make all of their cakes. Which table of values shows the relationship between the number of cakes the bakery makes to the number of bags of flour the bakery uses?

Answers

Answer:

3/1 or 3:1 when simplified

so first number is three times larger then second number

help please :DDDDDDDDD

Answers

I think it’s 1 or 10

Answer:

1/10

Step-by-step explanation:

Ok so 1/100= 10/100

You toss a coin (heads or tails), then spin a three-color spinner (red, yellow, or blue). Complete the tree diagram, and then use it to find a probability.

1. Label each column of rectangles with "Coin toss" or "Spinner."

2. Write the outcomes inside the rectangles. Use H for heads, T for tails, R for red, Y for yellow, and B for blue.




3. Write the sample space to the right of the tree diagram. For example, write "TY" next to the branch that represents "Toss a tails, spin yellow."


4. How many outcomes are in the event "Toss a tails, spin yellow"? (1 point)


5. What is the probability of tossing tails and spinning yellow? (1 point)

Answers

Answer:

If the spinner has an even number of spaces,

1

8

. If the spinner has an odd number of spaces, more information is needed.

Explanation:

The answer depends on whether the spinner has an odd or even number of spaces.

If the spinner has an even number of numbers on it, there will be an equal number of odd and even numbers, meaning that the probability of spinning an odd number is

1

2

. This is also the probability of flipping heads on a coin. And so we have:

1

2

×

1

2

×

1

2

=

1

8

If the spinner has an odd number of numbers on it, the probability of spinning an odd number will vary. For instance, if there are 3 spaces on the spinner, the probability of spinning an odd number will be

2

3

. However, if there are 11 spaces, the probability will be

6

11

.

Step-by-step explanation:

The probability of tossing tails and spinning yellow is 1/6.

What is probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Outcomes of tossing a coin= {T,H}

Outcomes of spinner={ R,Y,B}

Now, outcomes are in the event "Toss a tails, spin yellow"

= {TY}

probability of tossing tails and spinning yellow,

= 1/2*1/3

= 1/6

Learn more about probability here:

https://brainly.com/question/11234923

#SPJ2

i need more help on these questions please

Answers

Answer:

1,2,4,8,2

Step-by-step explanation:

For the first blank, it asks you to look at the change in y-value where the x-value changes from 0 to 1. As the y-value goes from 2 to 3 in this space, it is increasing by 1.

For the second blank, it asks you to look at the change in y-value where the x-value changes from 1 to 2. As the y-value goes from 3 to 5 in this space, it is increasing by 2.

For the third blank, it asks you to look at the change in y-value where the x-value changes from 2 to 3. As the y-value goes from 5 to 9 in this space, it is increasing by 4.

For the fourth blank, it asks you to look at the change in y-value where the x-value changes from 3 to 4. As the y-value goes from 9 to 17 in this space, it is increasing by 8.

For the fifth blank, it asks you to find the rate of change for the graph using the information we previously found. As you can see, the rate of change is 2 for this exponential function, as for every x-value increasing by 1, the change in y-value is multiplied by 2. In other words, if you look at the prior answers you can see that 1*2=2, 2*2=4, and 4*2=8, and all of these changes occur while the x-value increases consistently. Therefore, the grow factor is 2 for every interval of 1.

Hope this helps!

negative decimals on a number line 4

Answers

The answer is b, hope this helped!

Answer:

I will say point b

Step-by-step explanation:

because -0.905 = -0.91 = -0.9 = b beacuse 0.905 isn't close to 1 but 0.95 is closer so i would say be

................................................

Answers

Answer:

There are 0 lines here. Because the arrows (of lines) don't directly meet.

There are 0 lines. Lines are infinite and have arrows on both ends there are only line segments and rays. Hope this helps!

Give the coordinates of each point.

please help thank you

Answers

a-2,6
d-4,6
b-9,6
c-11,6

Answer:

A = (1,6)

B = (4,6)

C = (9,6)

D = (11,6)

Since it is a strait line on six, all the points should have 6 as y. For the x's, just count how much it is away from the y-axis.

Students are comparing the decimals 13.310, 13.28, and 13.301

Please put these numbers in order from least to greatest, enter the least value in answer spot 1.
________
________
________

Answers

Answer:

13.28

13.301

13.31

Step-by-step explanation:

here’s the answer!
13.28
13.301
13.310

answer all 3 for brainliest

Answers

Answer:

πr + 2r

Step-by-step explanation:

Perimeter of Semicircle

The perimeter of a semicircle is the sum of the half of the circumference of the circle and diameter. As the perimeter of a circle is 2πr or πd. So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius.

Step-by-step explanation:

1. d = 22mm

circumference = πr + d

= 22/7 × 11 + 22

= 56.57 mm

2. r = 4 inches

circumference = πr + d

= 22/7 × 4 + 8

= 20.57 Inches

3. d = 10 yards

circumference = πr+d

= 22/7 × 5 + 10

= 25.71 yards

PLEASE HELP QUICK MATH

Answers

Answer:

66.7%

Step-by-step explanation:

66.7%




Step by step explanation:

I will give brainliest
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

I've labled all in red, hope this helps.

Answer:

I drew it for you.

Step-by-step explanation:

Pls give brainliest if I helped.

ANSWER QUICKLY!!!

Which graph shows all real numbers closer to 0 than they are to 4?

Answers

Answer:

Graph A

Step-by-step explanation:

It’s the real numbers closer 0 then they are at 4.

A
I hope this helps

Identify the scatter plots as linear association, nonlinear association, or no association.



(WONT LET ME ADD THE 6TH IMAGE)

Answers

Answer:

1. Non-linear positive

2.Linear positvie

3. No association

4.Linear negative

5.Non-linear negative.

Step-by-step explanation:

If this answer helped may I get brainlest.

Answer b because how it’s formed
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