Hệ phương trình
1/x + 1/y = 5/24
4/x + 3/y = 3/4

Answers

Answer 1

Step-by-step explanation:

hear is your with steps please check

H Phng Trnh 1/x + 1/y = 5/24 4/x + 3/y = 3/4

Related Questions

2. A ramp is needed at the entrance of a supermarket. The ramp is to be 6.7 m long
and have a rise of 0.3 m. Calculate the angle of inclination of the ramp to the nearest
tenth of a degree.

Answers

Answer:

∅ = 2.6º

Step-by-step explanation:

sin = opp/hyp

sin∅ = 0.3/6.7

∅ = arcsin0.3/6.7

use calculator

∅ = 2.6º

Mauritius island is 2 km due south of its closest point along a straight coastline. Gibril is staying at a private room on the shore that is 6 km east of that point. Gibril is planning to go from the room to the island. Suppose Gibril runs at a rate of 8 kmph and swims at a rate of 3 kmph. How far should Gibril run before swimming to minimize the time it takes to reach the island?

Answers

Answer:

5.19 Km

Step-by-step explanation:

According To the Question,

Suppose he Runs Xkm before swimming to minimize the time it takes to reach the island .

So, he should swim [tex]\sqrt{2^{2}+(6-X)^{2} } Km[/tex] .

Now The Total Time is t = [tex]\frac{X}{8} + \frac{\sqrt{2^{2}+(6-X)^{2} } }{3}[/tex] .

t = [tex]\frac{X}{8} + \frac{\sqrt{X^{2}-12X+40 } }{3}[/tex]

[tex]\frac{dt}{dX}=1/8 + 1/3 * 1/2 * \frac{2X-12}{\sqrt{X^{2}-12X+40 } }[/tex]

[tex]\frac{dt}{dX}=1/8 + \frac{1}{3} * \frac{X-6}{\sqrt{X^{2}-12X+40 } }[/tex]

Now Put [tex]\frac{dt}{dX} = 0[/tex] , we get

[tex]1/8 + \frac{1}{3} * \frac{X-6}{\sqrt{X^{2}-12X+40 } } = 0[/tex]

[tex]\frac{1}{3} * \frac{X-6}{\sqrt{X^{2}-12X+40 } } = - \frac{1}{8}[/tex]

8(X-6)= -3 × [tex]{\sqrt{X^{2}-12X+40 }[/tex]

square on both side,We get

64(X²-12X+36) = 9X² - 108X +360

55X² -660X + 1944 = 0

Apply Shri Dharacharya formula, To Find The Value of 'X'

X =[ - (-660) ±[tex]\sqrt{(-660)^{2}-4*55*1944 }[/tex]  ] ÷ 2×55

X = (660±√7920) / 110

X= (660 - 89 ) / 110  ⇒ (Neglect '+' because it give 749/110 = 6.8 km Which is not possible )

X=571/110 ⇔ 5.19km he Should Run before swimming to minimize the time .

(For Diagram,Please Find In Attachment)

Does anyone know this???

Answers

Answer:

Step-by-step explanation:

a)

median= 25

interquartile range= 19

b)

On average The Braineys was the slowest at completing the test because they have a median time of 32 minutes whereas The Cleverites have a median time of 25 minutes.

Help please! The area of a swimming pool is 45 square meters. The width of the pool is 3 meters. What is the length of the pool in centimeters?

Answers

Answer: 15 m

Step-by-step explanation:

Given

The area of the swimming pool is [tex]A=45\ m^2[/tex]

Width of the pool is [tex]w=3\ m[/tex]

Suppose l is the length of the pool

So, the area is given by the multiplication of length and width

[tex]\Rightarrow A=lw\\\Rightarrow 45=3l\\\Rightarrow l=15\ m[/tex]

So, the length of the pool is 15 m.

One number is 9 times another. Their product is 27 times their sum. Find the numbers.

Answers

the answer is 3

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

Will mark brainly thanks

Answers

Answer:

The 8th term of the sequence is 255

Step-by-step explanation:

To find the 8th term of the sequence, we have to use the given sequence formula

All we have to do here is to make a substitution

We simply have to substitute the value 8 for n as follows;

a8 = 2^8 - 1

a8 =256-1

a8 = 255

Worth 20 points Il will mark brainiest! :)

The picture is included too oh and the question is already in the picutre but just incase you cant see what it says it says this

In the diagram below lines, AB and CD are . sorry if the picture is a bit dark

Answers

A. Perpendicular!

Because they cross with a 90 degree angle :]

Answer: Perpendicular

Step-by-step explanation: Hope this helps

Se ha determinado que la población P (t) de una colonia de bacterias, t horas después de iniciar la observación, tiene una razón de cambio de P'(t) = 350 e0.18t + 220 e-0.3t. Si la población era de 250,000 bacterias cuando se inició la observación, ¿Cuál será la población20 horas después?

Answers

Answer:

La población 20 horas después será de 321,161 bacterias.

Step-by-step explanation:

t horas después de iniciar la observación, tiene una razón de cambio de P'(t) = 350 e0.18t + 220 e-0.3t.

Esto implica que la población después de t horas viene dada por:

[tex]P(t) = \int P^{\prime}(t) dt[/tex]

[tex]P(t) = \int (350e^{0.18t} + 220e^{-0.3t}) dt[/tex]

Teniendo en cuenta que

[tex]\int e^{at} dt = \frac{1}{a}e^{at}[/tex]

[tex]P(t) = \int (350e^{0.18t} + 220e^{-0.3t}) dt[/tex]

[tex]P(t) = \frac{350}{0.18}e^{0.18t} - \frac{220}{0.3}e^{-0.3t} + K[/tex]

En que k es la población inicial, o sea, [tex]K = 250000[/tex]. Entonces

[tex]P(t) = 1944.44e^{0.18t} -733.33e^{-0.3t} + 250000[/tex]

¿Cuál será la población 20 horas después?

Esto eres P(20). Entonces:

[tex]P(20) = 1944.44e^{0.18*20} -733.33e^{-0.3*20} + 250000 = 321161[/tex]

La población 20 horas después será de 321,161 bacterias.

Which type of function best models the given data?

Answers

Answer:

3)

Step-by-step explanation:

Draw the graph and youll see

Answer:

Exponential growth function

Step-by-step explanation:

It multiplies by 3 each time

I NEED IT PLEASE ASAP

Answers

44 boots were sold all together
(Can you make me brainliest

Answer: 24+6=30

Step-by-step explanation:

Football(6)  rugby(2)  hiking(3)

the order it gave you the info was football then rugby then hiking they way it gave you the number was 6,2,3 so football was said first and the number 6 was said first so football matches up with 6 therefore just add the two number and you get 30

divide rs 50000 bettween two charties in the ratio of 1/10: 1/15
TELL PLEASE

Answers

Answer:

sorry

Step-by-step explanation:

i dont know

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jsjsjdjdjdj

sjjsjd

Answer:

30000 : 20000

Step-by-step explanation:

Given the ratio

[tex]\frac{1}{10}[/tex] : [tex]\frac{1}{15}[/tex] ( multiply both parts by 30 the LCM of 10 and 15, to clear the fractions )

= 3 : 2

sum the parts of the ratio, 3 + 2 = 5 parts

Divide the amount by 5 to find the value of 1 part of the ratio

50000 ÷ 5 = 10000 ← value of 1 part of the ratio, then

3 parts = 3 × 10000 = 30000

2 parts = 2 × 10000 = 20000

Then

50000 = 30000 : 20000 in the ratio 3 : 2

given an = -4 + (n - 1)7. what is arithmetic sequence

Answers

Answer:

Step-by-step explanation:

The given an = -4 + (n - 1)7 is already an arithmetic sequence with first term -4 and common difference 7.  A more proper form would be an = -4 + 7(n - 1).

The first five terms of this sequence are {-4, 3, 10, 17, 24}

HURRYYY
Which expression is equivalent to E
1 (3),
n=10
15
15
3
Ση + Σ
=10 η = 10
31
O
15
15
15
Ση + Σ3 - Ση
h=10
h=10
η=10
15
3
Ο η Σ
η
η =10
Σ
8
15
3
Ση
η
η=10

Answers

Answer:

the first one

Step-by-step explanation:

it is really easy to see in this case.

the main formula is just a sum of a sum.

anything you just add you can split in its parts and then sum it all up - it is still the same.

so, the sum of (n + 3/n) can be split without any additional tricks into the sum of n and the sum of 3/n, and then add both results together.

the second option is wrong, because a division cannot be split like an addition. just try the first two elements (n=10 and n=11) for the simplified formula of the sum of (3/n). 3/10 + 3/11 is definitely not the same as (3 + 3) / (10 + 11).

the third and fourth option are already disqualified, because "n" assists outside of the sum operation (but "n" is only defined inside of it).

A total of 573 tickets were sold for the school play. They were either adult tickets or student tickets. There were 73 more student tickets sold than adult tickets. How many adult tickets were sold?

Answers

Answer:

146 adult tickets were sold

Step-by-step explanation:

subtract 73 from 573 which = 500

then you'll take away 500 from 73 =427

then you will subtract 427 from 573= 146

Write an exponential function in the form y=ab^x that goes through the point (0,17) and (6,1088)

Answers

Answer:

y = 17(2)^x

Step-by-step explanation:

If the graph of y = ab^x goes through (0, 17), then

                        17 = ab*0, or a = 17

Then the function is y = ab^x with a = 17, or

                                  y = 17*b^x and we must find b.

If the graph of y = 17*b^x also goes through (6, 1088), then the following must be true:   1088 = 17*b^6

which reduces to 64 = b^6

Taking the sixth root of both sides, we get 64^(1/6) = b, and so b = 2

Then the desired exponential function is

y = 17(2)^x

Write 120 as a product of primes.
Use index notation​

Answers

Answer:

2³×3×5

Step-by-step explanation:

_______________

can you guys help me fill the right angle measures

Answers

Answer:

3 = 20

5 = 20

8= 160

Step-by-step explanation:

angle 2 and 3 are on the same line, so 180 - 160 is 20 degrees

rule of alternate interior angles: angle 5 is equal to 3

rule of alternate exterior angles: angle 8 is equal to 2

0.1 X 4 is the same as 1 tenth of 4 Write this expression with a fraction instead of a decimals and then solve it.​

Answers

Answer:

2/5

Step-by-step explanation:

0.1 × 4

= 1/10 × 4 = 4/10

= 2/5

Please help me with this. Ill give you a brainliest.

Answers

Answer:

7. Circumcenter is (5,8)

8. Circumcenter= (-4,-5)

9. Circumcenter= (-4,9)

10. Circumcenter= (5.5, -5.5)

Step 4: Calculate the result:
63,756 60
miles / hour
70.5,280

Answers

Answer:

10.35miles/hour

Step-by-step explanation:

(63,756 x 60)/ (70 x 5,280) = (3,825,360/369,600) = 10.35

(Application of division)

Answer:

10.35 mph

Step-by-step explanation:

(63,756 times 60) / (70 times 5280) in calculator is equal to 10.35

What is the image of (-9,9) after a dilation by a scale factor of 2 centered at the origin? (Will mark correct answer brainliest)

Answers

Answer:

Is this a line on a graph with point for x,y.

Step-by-step explanation:

-9 is x and 9 is y

I need help finding the slope G and J

Answers

Answer:

[tex]-\frac{5}{2}[/tex]

Step-by-step explanation:

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

J(-4 , -3) = (x2 , y2)

slope = y2 - y1/x2 - x1

=-3-2/-4-(-6)

=-5/-4+6

=-5/2

Need help please!!!

Answers

The answer is D
Explanation:5x^5-44x^3-9x=0
X(5x^2+1)(x-3)(x+3)=0
X(x+3)(x-3)=0
X=0,x=-3,x=3
The answer is D. Have a good day.

How many solutions exist for the system of equations graphed below?

Help please !

Answers

Answer:

none (0) ...

think of two lines (or chop sticks places on a table) ...

there are three (3) possible orientations that they can be in.

1) they cross each other at one point

2) they are on top of each other (they touch everywhere)

3) they are side by side (parallel)

in situation one we say we have a solution

in situation two we say there is an infinite solutions (the same line)

in situation three (your problem) we say there is no solution (parallel lines)

Step-by-step explanation:

Answer:

none

Step-by-step explanation:

you stand 25m from the base of a tree and the angle of elevation from the ground to the top of the tree is 48 degrees. How tall is the tree?​

Answers

Answer:

The tree is about 27.77 meters tall

Step-by-step explanation:

I attached a helpful sheet that explains all my work visually.

a right cone with base circumference 14 pi ft
and slant height 3 times the radius. Give answer in terms of pi

Answers

the answer is a batty fish with a Somali forehead

The width of classroom is 4 meters less than the length, and the area is 192m^2. If the length is x m, find an equation in x and hence, find the dimensions of the classroom

Answers

Step-by-step explanation:

x(x-4) = 192

the Equation:

x²-4x -192 =0

=> (x-16) (x+12) =0

x= 16 or x= -12

since the x should be a possitive, so x = 16

the dimension :

the length = 16 m

the width = 12 m

Que sucede al estudiar el comportamiento del coseno (en triangulos no rectangulos) de la misma forma que estudamos el seno?

Answers

Answer:

En contraste con el seno, el coseno permite diferenciar triángulos obtusángulos de triángulos acutángulos.

Step-by-step explanation:

Por Geometría Euclideana sabemos que la suma de todos los ángulos internos de un triángulo es igual a 180°, si el triángulo no es rectángulo, entonces acutángulo o obtusángulo.

Un triángulo es acutángulo cuando todos sus ángulos son agudos, es decir, cuyas medidas sean mayores que 0° y menores que 90°, mientras que un triángulo es obtusángulo cuando uno de sus ángulos es mayor que 90° y menor que 180° y los dos ángulos restantes son agudos.

El seno es una función periódica y acotada entre -1 y 1, que es positiva entre 0° y 180°, significando que esta función trigonométrica es demasiado "débil" para diferenciar a un triángulo obtusángulo de uno acutángulo. En cambio, el coseno es una función periódica y acotada entre -1 y 1, que es positiva entre 0° y 90°, y negativa entre 90° y 180°, convirtiéndola en un criterio "fuerte" para diferenciar triángulos obtusángulos de triángulos acutángulos.

pls help me i don't know what to do ​

Answers

Answer:

C

Step-by-step explanation:

the size of the steps gives you the number before x

and the -1 , +4 is just what left when x equals zero, so in the two tables we find it in row two

There are 5 red marbles, 15 blue marbles, and 5 green marbles in a bag. You reach in and randomly draw a marble, replace it, and draw another marble. What is the probability that one will be red and one will be blue?

Answers

Answer:

Blue: 3/5

Red: 1/5

if the question is asking for the probability of if one marble you will pick out of bag is red OR blue, it will be 4/5

Step-by-step explanation:

add all the marbles together. 25 marbles.

so if there are 15 blue marbles, then there would be a 15 out of 25 chance you  will get a blue marble. simplified is 3/5. same goes for the red marbles.

Answer:

12%

Step-by-step explanation:

hope this helps!!!!!

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