solve ; 7/x-3/2x+7/6=9/x

Answers

Answer 1

Answer:

x = 3

Step-by-step explanation:

7/x - 3/(2x) + 7/6 = 9/x

x(7/x  - 3/(2x)  + 7/6) = x(9x)

x*7/x  - 3*x/(2x) + x*7/6 = x*9x

7 - 3/2 + 7x/6 = 9

7x/6 = 9 - 7 + 3/2

7x/6 = 2 + 3/2

7x/6 = 12/6 + 9/6

7x = 12+9

7x = 21

x = 21/7

x = 3

probe:

7/3 - 3/(2*3) + 7/6 = 9/3

14/6 - 3/6 + 7/6 = 3

(14 - 3 + 7) / 6 = 3

18/6 = 3


Related Questions

if i=√-1 , what is i^2 equal to ?

Answers

Answer:

-1

Step-by-step explanation:

If i = √-1, then i^2 = -1.

Sam counted 12 liters of hand sanitizer in the storage cabinet I lefills tihe
dispensers in seven of the examination rooms as follows: 350 ml, 600
ml, 475 ml, 580 ml, 650 ml, 720 ml, and 500ml
After filing the dispensers how many liters of sanitizer remain in the storage cabinet?

Answers

Answer:

8.125 Litres

Step-by-step explanation:

Given:

Initial volume of hand sanitizer in the storage = 12 litres

Volume of dispensers:

350 ml

600 ml

475 ml

580 ml

650 ml

720 ml and

500 ml

To find:

Volume of sanitizer left after filling all the dispensers = ?

Solution:

The volume of sanitizer left can be calculated by subtracting sum of volumes of all the dispensers from the Initial total volume of the storage cabinet.

First of all, let us convert them into the same units i.e. litres.

We know that 1 Litre = 1000 ml

So,

350 ml = 0.350 Litres

600 ml = 0.600 Litres

475 ml = 0.475 Litres

580 ml = 0.580 Litres

650 ml = 0.650 Litres

720 ml = 0.720 Litres

500 ml = 0.500 Litres

Total volume of dispensers = 0.350 + 0.600 + 0.475 + 0.580 + 0.650 + 0.720 + 0.500 = 3.875 Litres

Let us subtract the total volume of dispensers from the initial volume of storage cabinet to find the volume remaining the storage cabinet.

Volume that remain in the storage cabinet = 12 - 3.875 = 8.125 Litres

What is the value of x in the equation 4x + 8y =40, when y=0.8

Answers

Answer:

x= 8.4

Step-by-step explanation:

y=0.8

4x + 8y =40

4x + ( 8 x 0.8) = 40

4x + (6.4)  =40

4x = 40 - 6.4

4x = 33.6

x = 8.4

when 5 times a number is added to twice the number the result is 10. what is the number?

Answers

Answer:

10/7

Step-by-step explanation:

5x+2x=10

7x=10

x=10/7

what is the solution to 6x − 8 > 4x + 26

Answers

Answer:

x > 17

Step-by-step explanation:

Combine like terms,  We get:

2x > 34, or

x > 17

Elena drank 3 liters of water yesterday. Jada drank 34 times as much water as Elena. Lin drank twice as much water as Jada. Did Jada drink more or less water than Elena? Explain how you know. Did Lin drink more or less water than Elena? Explain how you know.

Answers

Complete question :

Alana drink 3 Liters of water yesterday Jada drank 3/4 times as much water as Elena. Lin drank twice as much water as Jada.

Did Jada drink more or less water than Elena? Explain how you know

Did Lin drink more or less water than Elena? Explain how you know.

Answer:

Kindly check explanation

Step-by-step explanation:

Amount of water drank:

Elena = 3 litres

Jada's consumption = 3/4 times Elena's consumption,

Hence Jada's consumption = (3 * 3/4) = 9/4 litres = 2 1/4 litres

Lin drank twice as much water as Jada, Hence,

Lin's consumption = (2 * 9/4) = 18/4 litres = 4 1/2 litres

Did Jada drink more or less water than Elena?

Jada drank less than Elena.

Explain how you know:

Jada drank 2 1/4 litres compared to Elena, who drank 3 litres

Did Lin drink more or less water than Elena?

Lin drank more than Elena

Explain how you know.

Lin drank 4 1/2 litres, which is greater than the 3 litres drank by Elena.

Factor the trinomial below.
x2 + 3x - 18
A. (x + 6)(x-3)
B. (x+9)(x-2)
C. (X-9)(x+2)
D. (x-6)(x+3)

Answers

Answer:

A

Step-by-step explanation:

Given

x² + 3x - 18

Consider the factors of the constant term (- 18) which sum to give the coefficient of the x- term (+ 3)

The factors are + 6 and - 3, since

6 × - 3 = - 18 and 6 - 3 = + 3, thus

x² + 3x - 18 = (x + 6)(x - 3) → A

Answer:

( x+6) ( x-3)

Step-by-step explanation:

x^2 + 3x - 18

What 2 numbers multiply to -18 and add to 3

6*-3 = -18

6+-3 = 3

( x+6) ( x-3)

A wise man once said, "500 reduced by twice my age is 340." What is his age?

Answers

Answer:

500 - 2a = 340

500 - 2a - 500 = 340 - 500

-2a = -160

-2a/-2 = -160/-2

a = 80

Step-by-step explanation:

I will give you 30 points ? Need it quick please

Answers

Answer: x = 4 and length = 19 and width = 11


Explanation:

(4x + 3)(4x - 5) = 209

I did guess and check:

Plug x = 2

(4(2) + 3)(4(2) - 5) = 209
(13)(3) = 209
39 is not equal to 209

Plug x = 3

(4(3) + 3)(4(3) - 5)
= 15 x 7
= 105 is not equal to 209

Plug x = 4

(4(4) + 3)(4(4) - 5)
= 19 x 11
= 209 is equal to 209

Therefore x = 4 is correct.

Find length:

4x + 3
4(4) + 3
= 19

Find width:
4x - 5
4(4) - 5
= 11

Answer:

x = 4

Length = 19 feet

Width = 11 feet

Step-by-step explanation:

Area = Length x Width

Area = 209 ft²

Length = (4x + 3)

Width = (4x - 5)

Find:

x

Length

Width

Area = Length x Width

209 = (4x + 3) * (4x - 5)

209 = 16x² - 8x - 15

16x² - 8x - 15 = 209

16x² - 8x - 15 - 209 = 209 -209

16x² - 8x - 224 = 0

use quadratic equation to solve x:

      -(-8) + sqrt( -8² - 4 * 16 * (-224))

x =  --------------------------------------------

                   2 * 16

x = 4, x = -(7/2)   ----therefore use x = 4

solve for L:

Length = (4x + 3)

Length = (4 * 4 + 3)

Length = 19 feet

solve for W:

Width = (4x - 5)

Width = (4 * 4 - 5)

Width = 11 feet

check:

Area = Length x Width

209 = (4x + 3) * (4x - 5)

Area = Length x Width

209 = 19 * 11

209 = 209  ----- OK

three times the sum of d and 4 is 32

Answers

Answer:

d=6 2/3 or 6.6666

Step-by-step explanation:

3(d+4)=32

3d+12=32

3d=32-12

3d=20

d=6 2/3 or 6.6666

Simplify: 2 - 6x + 8x3 + 1 = 23

Answers

the answer x=8.5

if ur trying to solve for x

Adam borrowed $17 from his brother on Monday, and then an additional $5 on Tuesday. How much money will Adam have to pay his brother in order to be free of debt?

Answers

Answer:

$23

Step-by-step explanation:

Answer:

$23 is how much he will owe

Nanette has 5 dimes and 5 pennies in her
pocket. What's the probability that Nanette
pulls out a dime and then a penny from
her pocket? (Assume that she doesn't put
the first dime back in her pocket.)

Answers

Answer:

2/9

Step-by-step explanation:

5 dimes and 5 pennies = 10 coins

P( dime) = number of dimes / total

            =5/10 = 1/2

keep the dime

4 dimes and 5 pennies = 9 coins

P( penny) = number of penny / total

                 =4/9

P( dime, keep, penny) = 1/2 * 4/9 = 2/9

Answer:  5/18

=================================================

Explanation:

There are 5+5 = 10 coins total, of which 5 are dimes. The probability of selecting a dime is 5/10 = 1/2.

The coin is not put back, so we have 10-1 = 9 coins overall. Of this, 5 are pennies. The probability of pulling a penny out is 5/9. Note how this is dependent on the first event above.

From here, multiply the two probabilities

(1/2)*(5/9) = 5/18

The rule used here is

P(A and B) = P(A)*P(B given A)

where A and B are the events "pulling out a dime on the first selection" and "pulling out a penny on the second selection"

In a camp, 16.1 kg of rice is cooked each week. Find the quantity of rice cooked in the month of October.

Answers

Answer:

Quantity of rice cooked in October = 71.3 kg

Step-by-step explanation:

Given:

Quantity of rice cooked per week = 16.1 kg

Number of days in a week = 7

Number of days in October = 31

Find:

Quantity of rice cooked in October

Computation:

Quantity of rice cooked in October = [Number of days in October / Number of days in a week] Quantity of rice cooked per week

Quantity of rice cooked in October = [31 / 7]16.1

Quantity of rice cooked in October = 71.3 kg

3. Compare the function y = tanx and its reciprocal. Identify two similarities and two
differences between the functions. ​

Answers

Answer:

The similarities are;

1) The tangent slope of the tangent graph and the cotangent graph are always the same sign through out

2) The period of each trigonometric ratio cot and tan is π/2

The differences are;

1) The sign of tangent function always positive while that of the cotangent function always negative

2) Where the value of cot x ranges from undefined to 0, the value of tan x ranges from 0 to undefined in the same domain

Step-by-step explanation:

Aug 14, 8:23:51 PM
What is the total area, in square centimeters, of the shaded sections of the trapezoid
below?
6.1 cm
9.5 cm
6.2 cm
8.1 cm

Answers

Hey there! I'm happy to help!

First, let's find the area of the total trapezoid. To do this, you add the top and bottom side, divide it by two, and then multiply by the height.

We add up the values that make up the top side so we can find find its length.

6.1+8.1+9.5=23.7

The bottom side is 8.1

We add the top and bottom sides.

23.7+8.1=31.8

We divide by 2.

31.8/2=15.9

We multiply by the height, which we can see is 6.2

15.9×6.2=98.58

Now, we find the area of the rectangle that isn't shaded.

6.2×8.1=50.22

We subtract this from the total area of the trapezoid to find the total area of the two shaded triangles.

98.58-50.22=48.36

Therefore, the shaded regions have a total area of 48.36 cm².

Have a wonderful day! :D

(2t-3)^3, can you help me?, please?

Answers

Answer:

8t^3-36t^2+54t-27

Step-by-step explanation:

(2t-3)^3

(2t-3)(2t-3)(2t-3)

Multiply the first two terms

(4t^2 -6t -6t+9)(2t-3)

Combine like terms

( 4t^2 -12t +9) ( 2t-3)

Multiply

2t*( 4t^2 -12t +9) -3 ( 4t^2 -12t +9)

Distribute

8t^3 -24t^2 +18t-12t^2 +36t-27

Combine like terms

8t^3-36t^2+54t-27

Answer:

8t³ - 36t² + 54t - 27

Step-by-step explanation:

(2t - 3)³

(2t - 3)(2t - 3)(2t - 3)

FOIL the first two binomials - first - outer - inner - last

(2t - 3)(2t - 3)

= 4t² - 6t - 6t + 9

= 4t² - 12t + 9

multiply this polynomial by the last binomial

(4t² - 12t + 9)(2t - 3)

distribute 2t

2t • 4t² = 8t³

2t • -12t = -24t²

2t • 9 = 18t

distribute -3

-3 • 4t² = -12t²

-3 • -12t = 36t

-3 • 9 = -27

combine

8t³ - 24t² + 18t - 12t² + 36t - 27

simplify

8t³ - 36t² + 54t - 27

Pls help with this immediately!!!! Under 15 minutes!!!! Offering more than 5 points !!!

Answers

1A. 7 feet
1C. 7 Feet

how do you simplify ratios

Answers

Answer: Simplifying ratios is just like simplifying fractions. Think of ratios as fractions. You divide a number that both numerator and denominator can be divided by.

Example

5/10 = 1/2

How did we get 1/2? Simple! You divide the numerator and denominator by 5.

5/10÷5/5=1/2

You do the same for ratios but the only difference is instead of putting a fraction bar (/) you put a colon (:)

Let's try another example but with a ratio!

Example

5:10 = 1:2

How did we get 1:2? Simple! Again we divided by 5 just like we did with the fraction example! So really ratios are just like fractions!

5:10÷5:5=1:2

Remember

The fraction bar is /

The ratio bar is :

Ratios are just like fractions but the symbol can sometimes trick people.

I want to buy 4 tickets to go to Disney World. They are currently on sale for with a 12% discount. Write the SIMPLIFIED expression to represent this scenario. *

Answers

Answer:

3.52x

Step-by-step explanation:

Let

Quantity of tickets=4

Price of tickets=x

Discount=12%

This means, you will pay 100% -12%

=88%

Total amount payable=discount (quantity * price)

= 88% ( 4 * x )

= 0.88 (4x)

= 3.52x

Eloise scored a total of 268 points during the basketball season. Of her total points, l points came from left handed shots. She scored 225 points from right handed shots write an equation to describe the situation and find the value of l for left handed shots

Answers

Answer:

[tex]\bold{268=225+}l[/tex]

43

Step-by-step explanation:

Given that:

Total points scored in basketball season, T = 268

Points scored from right handed shots, R = 225

Points scored from left handed shots = [tex]l[/tex]

To find:

To write an equation to describe the situation and find the value of [tex]l[/tex] for left handed shots ?

Solution:

We know that the points can be scored in basketball either by right hand shots or by left hand shots.

In other words, we can say that:

Total points scored in basketball season = points scored from right handed shots + points scored from left handed shots

i.e.

[tex]T = R + l\\\Rightarrow \bold{268=225+}l[/tex]

So, the equation is:

[tex]\bold{268=225+}l[/tex]

Now, let us find the value of [tex]l[/tex] from the above equation:

[tex]l=268-225\\\Rightarrow \bold{l = 43}[/tex]

Number of points scored from left handed shots = 43

WILL MARK THE BRAINLIEST!! PLEASE HELP If ∠1 = 3x, ∠2 = 5x + 18, and s ⊥ r, find m∠1. Question 5 options: A) 27° B) 63° C) 61° D) 9°

Answers

Answer:

A. 27°

Step-by-step explanation:

Given that s is perpendicular to r, and <1 = 3x, <2 = 5x + 18, therefore:

m<1 + m<2 = 90°

3x + (5x + 18) = 90°

Solve for x using this equation

3x + 5x + 18 = 90

8x + 18 = 90

Subtract 18 from both sides

8x + 18 - 18 = 90 - 18

8x = 72

Divide both sides by 8

x = 9

Find m<1

m<1 = 3x

Plug in the value of x

m<1 = 3(9) = 27°

i need help asap someone pleae help me

Answers

Problem 1

We have two possible answers here.

Either AC = DF is needed, or AB = DE is needed

We can't use BC = EF, as that would be ASA. The sides cannot be between the marked angles. With AAS, the sides are not between the angles.

Note: AC pairs up with DF because both segments have an endpoint at an angle with one arc marking. AB pairs up with DE because one endpoint has a double arc marking.

==========================================

Problem 2

We have a pair of congruent sides (due to the tickmarks) and a pair of congruent angles. We need another pair of angles. We can't pick angle B = angle E, as that would give us ASA. So we must pick the other pair of angles

angle A = angle D

If angle A = angle D, then we have enough to use AAS.

In a direct or linear relationship, as one variable increases, what happens to the other variable?
It increases

Answers

Answer:

In general direct variation suggests that two variables change in the same direction. as one variable increases the other also increases and as one decreases the other also decreases.

Step-by-step explanation:

i hope this helps.

PLEASE HELP IM STUCK

Answers

Answer: The table on the top right corner

Answer: Answer in the steps

Step-by-step explanation:

x       y  

0      3

1        1

2        -1

3        -3

This a linear function because as the y values decrease by a constant amount the x values also increase by a constant amount.

Linda scored a total of 265 points in mathematics, physics and English. She scored 7 more marks in mathematics than in English and she scored 5 more marks in physics than in mathematics. Find her scores in all three subjects.

Answers

Answer: E 265   M 272  P 277

Step-by-step explanation:

English 265

math 265+7=272

Physics 272+5=277

Which equation can be used to find the length of AC?
A
10 in.
b
40°
C
B
CU
O (10)sin(40°) = AC
O (10)cos(40°) = AC
1
= AC
sin(40)
10
cos(40
= AC

Answers

Answer:

AC = 10sin40°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin40° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] , then

sin40° = [tex]\frac{AC}{10}[/tex] ( multiply both sides by 10 )

10sin40° = AC

The length of the side AC of the triangle is AC = 10 ( sin ( 40 )° )

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of ∠ABC = 40°

The height of the triangle AC = b

The base of the triangle BC = a

The hypotenuse of the triangle AB = 10 inches

Now , for a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

And , the trigonometric relation is

sin 40° = opposite side / hypotenuse

sin ( 40 )° = AC / 10

Multiply by 10 on both sides , we get

AC = 10 ( sin ( 40 )° )

Hence , the measure of the hypotenuse of triangle is AC = 10 ( sin ( 40 )° )

To learn more about triangle click :

https://brainly.com/question/16739377

#SPJ5

The points (-7,-8) and (8,-8) fall on a particular line. What is its equation in slope-intercept form?​

Answers

Y=-8 because there is no slope

Tibet Mein kheti Karne Ka Tarika ​

Answers

Answer:

Step-by-step explanation:

GO TO TIBET AND DO KHETI AS YOU DO IN "INDIA"

Answer:

Terrence farming, removing snow use stronger tools ,heavy machines, wait for the weathering of rocks

please mark as brainliest

If (5 t the power of 4)m = 5 to the power of 12, what is the value of m? (4 points) 2 3 5 8

Answers

Answer:

m = 3

Step-by-step explanation:

Given

[tex]5^{4m}[/tex] = [tex]5^{12}[/tex]

Since the bases on both sides are equal ( both 5) the equate the exponents.

4m = 12 ( divide both sides by 4 )

m = 3

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