Solve a / a-1 - a+5/a =0. Enter your solution as an improper fraction or as a decimal rounded to the nearest hundredth

Answers

Answer 1

Answer: [tex]1\dfrac{1}{4}[/tex]

Step-by-step explanation:

Given

The equation in terms of a is

[tex]\Rightarrow \dfrac{a}{a-1}-\dfrac{a+5}{a}=0\\\\\Rightarrow \dfrac{a}{a-1}=\dfrac{a+5}{a}\\\\\Rightarrow a^2=(a-1)(a+5)\\\\\Rightarrow a^2=a^2+4a-5\\\\ \Rightarrow 4a=5\\\\\Rightarrow a=\dfrac{5}{4}\ \text{or}\ 1\dfrac{1}{4}[/tex]


Related Questions

Given that the area of the trapezoid is 55cm find x

Answers

Answer: The value of x is 13.

Step-by-step explanation:

Area of trapezoid = [tex]\dfrac{1}{2}\times\text{sum of parallel sides}\times\text{height}[/tex]

Here , Parallel sides = 9 cm , x cm

Height (Altitude ) = 5 cm

Area = 55 sq. cm

Substitute all values in the formula , we get

[tex]55=\dfrac12\times{(9+x)}\times5\\\\ \dfrac{2\times55}{5}=9+x\\\\ 22=9+x\\\\ x=22-9\\\\ x=13[/tex]

Hence, the value of x is 13.

express . 05 as a proper fraction in its lowest terms​

Answers

because 5 is in the hundredth place, we know it’s 5/100. then, you can divide top and bottom by 5. so 1/20

Can some one help me out with this please?

Answers

Answer:

GOD BLESS YOU

Step-by-step explanation:

Quadrilateral QRST is a parallelogram. Solve for x (3x+5) (9x-17)

Answers

Given:

Consider the below figure attached with this equation.

Quadrilateral QRST is a parallelogram.

To find:

The value of x.

Solution:

We know that the sum of two consecutive interior angles of a parallelogram is 180 degrees because they are supplementary angles.

In parallelogram QRST,

[tex]m\angle Q+m\angle T=180^\circ[/tex]

[tex](3x+5)^\circ+(9x-17)^\circ=180^\circ[/tex]

[tex](12x-12)^\circ=180^\circ[/tex]

On comparing both sides, we get

[tex]12x-12=180[/tex]

[tex]12x=180+12[/tex]

[tex]12x=192[/tex]

Divide both sides by 12.

[tex]x=\dfrac{192}{12}[/tex]

[tex]x=16[/tex]

Therefore, the value of x is 16.

Please help!! I'm in summer school and I can't fail

Answers

Answer and Step-by-step explanation:

The slope would be positive 1. (Third answer choice).

This is because, using the Rise over Run method of finding slope, we go 1 unit up and 1 unit to the right, showing that it is going in the positive direction (up and right) and has a slope of 1.

#teamtrees #PAW (Plant And Water)

The slope of the line passing through the points (6, -1) and (7, -2) is

-3
-1
1

Answers

Answer:

-1

Step-by-step explanation:

when inputting our values into the formula for slope, we get (-2 - -1)/(7 - 6). Subtracting gives us -1/1 and our final answer is -1.

p.s tysm


Patrick wants to buy a new computer. He already has $275 saved and plans to save $125
each month. The price of the computer is currently $1,850, but Patrick expects the price
to drop by $100 each month. Patrick wants to determine the number of months he will
need to save.
.
If x represents the number of months, then write an equation to represent A, the total
amount Patrick saves.
If x represents the number of months, then write an equation to represent C, the cost of
the computer.
.
Use your equations from part “a” and part “b” to determine how many months he will
need to save before he can buy the computer. Show your work or explain how you got
your answer

Answers

Answer:

The answer is below

Step-by-step explanation:

The equation for a linear function is given as:

y = mx + b

where m is the slope of the function (that is the rate of change), b is the initial value of y when x is 0.

a) Since A represent the total amount saved and x represents the number of months. The relationship between A and x is given by:

A = -100x + 1850

The price reduces by $100 each month, while the initial price is currently $1,850.

B) Since C represent the cost of computer and x represents the number of months. The relationship between C and x is given by:

C = 125x + 275

The price increases by $125 each month, while the initial price is currently $275.

C) To determine the amount time needed before he can buy the computer, we  use:

A = C

-100x + 1850 = 125x + 275

125x + 100x = 1850 - 275

225x = 1575

x = 7

Therefore it would take 7 months before he can buy a computer

Awnser this for brainliest.

Answers

Answer:

1 is the number that goes in the blank

Step-by-step explanation:

3(2x+1)

Distribute

3*2x+3*1

6x+3

Answer:

3*2x+3*1

6x+3

hope it help

Epd445 was allegedly caught texting 57 minors but 21 of them turned out to be of age. What is the total amount of minors he was allegedly caught texting with?

Answers

Answer:

He was caught texting 36 minors.

Answer:

Step-by-step explanation:

tan150 cos135 cos100÷sin585 cos150 sin170​

Answers

Answer:

-0.66

Step-by-step explanation:

use the calculator

Answer:-0.345
Step-by-step
explanation:use the calculator

(Trigonometry) The ladder leaning against a building makes an angle of 78° with the ground. The foot of the ladder is 5 feet from the building. How many feet long is the ladder? Round your answer to the nearest whole number. (Hint: DRAW A PICTURE)

Answers

The foot of the ladder is
10
feet away from the base of the wall. [Ans]

How many real solutions does the quadratic equation
have?
10x^2– 5x – 7 = 0

1. 2
2. 0
3. 1
4. 3

Answers

Answer:

Option 1: 2

Step-by-step explanation:

see the plotting (made with desmos)

note that 3 is impossible, because a quadratic equation can't have 3 real zeros

a=8 and b=2.25 but what is k

Answers

Answer:

a = 8, b = 2.25, k = 27

Step-by-step explanation:

y = abˣ

Points on the graph:

(0, 8), (1, 18), (1.5, k)

Substitute coordinates into equation and solve for and and b:

8 = ab⁰ ⇒ 8 = a*1 ⇒ a = 818 = 8b ⇒ b = 18/8 ⇒ b = 2.25

Find k:

k = 8*[tex]2.25^{1.5}[/tex] = 27

Answer:

a=8

b=9/4

k = 27

Step-by-step explanation:

y = ab^x

We know that a is the initial value or when x = 0

We know the point (0,8) so a = 8

y = 8 b^x

Using the point (1,18) for x and y we can find b

18 = 8 * b^1

18/8 = b

9/4 = b

Now

y = 8 * ( 9/4) ^ x

Letting x = 1.5

k = 8 *(9/4)^1.5

k = 27

Find the equation for the line with
the given properties
perpendiculor to the line 7x-5y=9
containing the point (-2,-1)

Answers

Answer:

y = -0.14286x + 1.2857

Step-by-step explanation:

Don't really know how to explain over a computer, but it is correct. Answer from Omnicalculator.

Hope that this helps!

9514 1404 393

Answer:

  5x -7y = -3

Step-by-step explanation:

The equation of the perpendicular line can be written using the given equation as a starting point. Swap the x- and y-coefficients and negate one of them. In standard form, the x-coefficient must be positive.

Find the new constant by using the x- and y-values of the given point.

  -7x -5y = 9 . . . . given equation

  -5x -7y = c . . . .  equation with coefficients swapped

  5x -7y = c . . . . . equation with swapped coefficients, x-coefficient negated

  5x -7y = c = 5(-2) -7(-1) = -10 +7 = -3

The equation of the perpendicular line is ...

  5x -7y = -3

Which is the solution to the inequality?
3
8
15
o b< 2 1
15
Ob>27
o b<3 77
O b>37

Answers

Answer:

D (last answer)

Step-by-step explanation:

solve and simply

Kelly is flying a kite. She staked the kit to the ground. The angle of elevation between the string and ground is 70˚. The string on the kite is 65 meters long. How far is the kite above the ground? (Round to two decimal places)

Answers

Answer:

Step-by-step explanation:

2.A ball is pulled out of a bag on the first pick. Then, it
is replaced in the bag and another ball is picked out . Independent or dependent ?

Answers

Answer:

Independent

Step-by-step explanation:

Since the ball is replaces, the same number of balls and type of balls are in the bag.  The draw is identical to the first draw so the draws are independent.

Find the value of cos W rounded to the nearest hundredth, if necessary,
U
30
W
V
14

Answers

Answer:

cos W = 7/15

Step-by-step explanation:

Mathematically the cosine of an angle is the ratio of the adjacent to the hypotenuse side

From the diagram given, 14 is adjacent to vertex w and 30 faces the right angle which makes it the hypotenuse

So, we have it that;

cos W = 14/30

cos W = 7/15

315,728 rouned to the nearest ten thousand

Answers

Answer:

320,000 is the answer

Step-by-step explanation:

have a good day!!

Which are correct representations of the inequality 6x2 3 + 4(2x – 1)? Select three options.
12 2x
6x > 3 + 8x - 4
O
-1.5
-1
-0.5
0
0.5
1
1.5
-1.5
-0.5
0
0.5
1.5
-1.5
-1
-0.5
0
0.5
1
1.5

Answers

8x provides distant of issue so 0 and -1.5 evaluate

The proper way to express the above inequality is 6x4(2x-1) is x2.

What is inequality?

A mathematical statement that has two mathematical expressions on each side of the inequality sign is called an inequality. The indicators for inequality are,, >, or.

6x4(2x-1) is the given inequality.

So, 6x≥8x-4

6x off of both sides gives us

6x-6x≥8x-4-6x

0≥8x-6x-4

0≥2x-4

4 added on both sides give us

0+4≥2x-4+4

4≥2x

By dividing both sides by half, we obtain

(1/2)×4≥(1/2)×2x

2≥x

x≤2

Therefore, x≤2 is the correct representation.

Learn more about inequality here:

brainly.com/question/19498063

#SPJ7

Please last one I promise I need help figuring this out I have been stuck on it for a while I will mark the person that gets the correct answer a brainliest person

Answers

Answer:

c

Step-by-step explanation:

Volume & surface! May I please have help

Answers

Answer:

D

Step-by-step explanation:

surface area of cylinder

=(area of base)×2 + (area of curved surface)

[tex]=(\frac{20}{2} )^{2} \pi[/tex]× 2 + [tex]20\pi[/tex] × 25

=2 × [tex]\pi[/tex] × [tex]10^{2}[/tex] + 2 × [tex]\pi[/tex] × 10 × 25

The equation y 55x represents the
relationship between x, the time that a train
travels in hours, and y, the distance the train
travels in miles for Train A. The table
represents the relationship for Train B.
Determine which train is traveling at a faster
rate of speed.
1
2
4
Time (h)
Distance (mi)
45
90
135
180

Answers

Answer:

Train A is travelling faster.

Step-by-step explanation:

Train A is going 55mph, and train B is going 45mph according to the table.

Solve the formula d = rt for r.

Answers

r= d/t
you just divide both sides by t to isolate r

Un buzo profesional está explorando el fondo marino a 48 metros bajo el nivel del mar (−48 m). Al volver a la superficie del mar (0 m), debe hacer pausas de seguridad que evitan cambios bruscos de presión: debe subir nadando verticalmente 8 metros en un minuto, detenerse durante 5 minutos, luego volver a subir 8 metros en un minuto, y así hasta llegar a la superficie.

Answers

Respuesta:

31 minutos para llegar a la superficie del mar.

Explicación paso a paso:

Dado que :

Profundidad inicial = 48 m

8 metros = 1 minuto

Tiempo de parada por cada minuto de nado vertical = 5 minutos

Por lo tanto,

1 minuto = (48 - 8) = 40 metros

Tiempo de parada = 5 minutos

1 minuto = (40 - 8) = 32 metros

Tiempo de parada = 5 minutos

1 minuto = (32 - 8) = 24 m

Tiempo de parada = 5 minutos

1 minuto = (24 - 8) = 16 m

Tiempo de parada = 5 minutos

1 minuto = (16 - 8) = 8 m

Tiempo de parada = 5 minutos

1 minuto = 8 - 8 = 0 (superficie del mar)

(1 * 6) minuto + (5 * 5) minuto

6 + 25 = 31 minutos

31 minutos para llegar a la superficie.

help pls i beg youuu

Answers

Answer:

height = 10 m

Step-by-step explanation:

base area of rectangular pyramid =180 m^2

volume of rectangular pyramid = lwh/3

600 = 180*h/3

600*3 = 180*h

1800/180 =h

10 = h

Answer:

I think the answer to the question is 10

Here's an equation of a line:
y - 4x = 4
Which of the following is the equation of a line
that is parallel?
Click on the correct answer.
4y + x= -8
y + 4x = 1
2y – 8x = -5
- 4y + x= -8

Answers

Step by step explaination

y-4x= -4

y= 4x-4

slope of the given eqn of line = 4

and since the required line is parallel to the given line , slope of required line = slope of the given eqn of line = 4

OPTION C , the eqn has slope = 4

If 5400=54(100x+54), then x=?

Answers

Answer:

x=23/50

Step-by-step explanation:

Answer:

0.46

Step-by-step explanation:

Divide 5400 by 54 to get rid of it from the right side.

You will get 100=100x+54

Then subtract 54 from 100.

46=100x

Lastly, divide your number by 100 to get x.

- 4x < 68
A. Solve by adding 4 to each side.
B. The solution is x>-17.
a or b will mark as brainliest
(ignore the last thing)

Answers

Answer:

B.x>-17

Step-by-step explanation:

1. Divide both sides by -4:

-4x/-4<68/-4

2.< will change to > since you are dividing by negative

3.your final answer will be x>-17

Question and choices are in the photo please explain the answer

Answers

Answer:

B.) 33°

Step-by-step explanation:

The size of x in degrees is 33°.

If you bisect P from center O, you can create a right triangle and use the triangle sum rule to find ½ the measure of x°.

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