Solve for x.

x =

thank you in advance!

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Explanation:

Let's consider the tank's full capacity is 240 gallons. I'm picking this number because 12*20 = 240.

If the tank is 240 gallons, then the inlet pipe can fill it at a rate of 240/12 = 20 gallons per hour. Note after 12 hours, we have 12*20 = 240 gallons filled assuming the outlet pipe is sealed shut.

At the same time, the outlet pipe is draining at a rate of 240/20 = 12 gallons per hour. After 20 hours, the outlet pipe would drain out 12*20 = 240 gallons assuming the inlet pipe is not adding any water.

With the two pipes playing this tug-of-war battle, the inlet pipe ultimately wins because it's adding more gallons of water each hour, compared to the amount drained per hour. The net change is +20-12 = 8 gallons per hour.

This means it will take 240/8 = 30 hours to fill the tank with both pipes open.

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Another approach:

The inlet pipe can fill the tank in 12 hours, so it gets 1/12 of the job done per hour. The outlet pipe drains the tank in 20 hours, so it gets 1/20 of the job done in one hour.

The net change is 1/12 - 1/20 = 5/60 - 3/60 = 2/60 = 1/30

This means that when both pipes are open, 1/30 of the job is done per hour. By "job", I mean "filling the tank".

If x is the number of hours needed to do one full job, then we can multiply that by the unit rate (1/30) and set the result equal to 1

(rate)*(time) = 1 job

(1/30)*x = 1

x = 30*1

x = 30

It takes 30 hours to do the job with both pipes open.

Answer:

a. 0.9 Hz b. 0.37 Hz

Step-by-step explanation:

The frequency of the simple pendulum f = (1/2π)√g/l where g = acceleration due to gravity and l = length of pendulum

a. Find the frequency of a pendulum whose length is 1 foot and where the gravitational field is approximately 32 ft/s2

To find f on Earth, g = 32 ft/s² and l = 1 ft

So, f =  (1/2π)√(g/l)

f = (1/2π)√(32 ft/s²/1 ft)

f = (1/2π)√(32/s²)

f = (1/2π)(5.66 Hz)

f = 0.9 Hz

b. The strength of the gravitational field on the moon is about 1/6 as strong as on Earth.. Find the frequency of the same pendulum on the moon.

On the moon when acceleration due to gravity g' = g/6,

f =  (1/2π)√(g'/l)

f =  (1/2π)√(g/6l)

f = (1/2π)√[32 ft/s²/(6 × 1 ft)]

f = (1/2π)√(32/s²)/√6

f = (1/2π)(5.66 Hz)/√6

f = 0.9/√6 Hz

f = 0.37 Hz

Answer:

164.64

Step-by-step explanation:

you just have to multiply

8.4 x 3.5= 29.4 then you do 29.4 x 5.6 = 164.64

Step-by-step explanation:

first, distribute 7 to 6m (this means 7 • 6m)

7 • 6m = 42m

then distribute 7 to 7 (which is 7 • 7)

7 • 7 = 49

your simplified expression is 42m + 49. i hope this helps! have a great day <3

Answer:

D

because 12+7=19

5+14=19

Answer:

x^14

Step-by-step explanation:

[tex]x^{5}*x^{9}=x^{(5+9)}=x^{14}[/tex]

Answer:

x^14

Step-by-step explanation:

Use the power rule a^m a^n=a^m+n  

x^5+9

add 5 and 9

x^14

Answer:

true, false, true

Step-by-step explanation:

first one:

|-3.17|=3.17

-3.17 cannot be negative away, so it must be positive.

second one:

|7.29|=7.29

not equal to -7.29

third one:

no matter if it's negative or positive, you always use absolute value (||) to measure distances between number lines

brainliest plz

Answer:

Step-by-step explanation:

All points C, D, E, F are translated 4 units to the right and 4 units down.

Answer:

x = 49

Step-by-step explanation:

Given

[tex]\frac{x-16}{x+6}[/tex] = [tex]\frac{3}{5}[/tex] ( cross- multiply )

5(x - 16) = 3(x + 6) ← distribute parenthesis on both sides

5x - 80 = 3x + 18 ( subtract 3x from both sides )

2x - 80 = 18 ( add 80 to both sides )

2x = 98 ( divide both sides by 2 )

x = 49

Answer:

x = - 49

Step-by-step explanation:

Solve for X by cross multiplying.

Answer:

x=1

Step-by-step explanation:

The value of x is 1 for the given determinant.

The determinant is defined as a scalar value that is associated with the square matrix. If X is a matrix, then the determinant of a matrix is represented by |X| or det (X).

Given a determinant value equal to zero,

To calculate the value of x,

Firstly, calculate the determinant as follows and equate it to zero:

[tex]1(3 \times-2-(-4\times3))-x(1 \times-2-3 \times0)+2(1\times-4-0\times3)=0\\\\[/tex]

[tex]1(-6+12)-x(-2)+2(-4)=0\\\\[/tex]

[tex]6+2x-8=0\\[/tex]

Solve like terms together and try to separate variable on LHS, so that it becomes easy to calculate the value of it.

Thus, the value of x is 1.

Learn more about determinants, here:

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Answer:

this is the way we calculate it ♡♡♡

Answer:

the 3rd one

Step-by-step explanation:

because it's in a pattern

Answer:

3rd.

Step-by-step explanation:

Answer:

220mL

780mL

600mL

480mL

Step-by-step explanation:

500-280=220

500+280=780

280/8=35, so 35 mL is in one L, 35x5=175

875-175=600

750-280=480

Answer:

Step-by-step explanation:

Answer:

6(d - 5)

Step-by-step explanation:

Answer:

d-30

Step-by-step explanation

6*5 the do d- that which is d-30

Answer:

0.8 / 0.5

Step-by-step explanation:

Given :

Deviations of Rainfall :

______Last Week ____ This Week

Mean___ 3.5 in. ________2.7 in

MAD ___ 1.2 in _________ 0.5 in

Mean difference = 3.5 in - 2.7 in = 0.8 in

This week's mean absolute deviation = 0.5 in

Mean difference / this week's mean absolute deviation

= 0.8 / 0.5

Answer:

0.8 / 0.5

Step-by-step explanation:

Answer:

divide the numerator by the denominator and it should give you a decimal

Answer:if u don't get it tell me.

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Solve inequality:

[tex]x + 3x<24\\4x<24\\x<6[/tex]

only one less than 6 is A. 5

Answer:

A

Step-by-step explanation:

(5) + 3(5) < 24

20 < 24

Answer:

⇒Let the no. of call minute be = x

⇒& no. of text messages be = y

⇒As total number of minutes used and text messages sent last month was 561

So x + y = 561.................................(1)

⇒Now as call minutes cost 8 cents each and text messages cost 5 cents each and her bill was $34.26

So 8x + 5y = 3426............................(2)

On solving equation 1 & 2 we have

we got x = 354 cent

& y = 207 cent

Answer:

Step-by-step explanation:

x (354,307)

Answer:

hi i dont know the ans but it have this app called photomath that will help u

Answer:

-7, -3, 1, 5 is an arithmetic sequence

Answer:

linear graph

Step-by-step explanation:

because the equation of the line is straight

Answer:

an=a1+(n-1)*-6

Step-by-step explanation:

a1= 3

the recursive formula is an= a1+ (n-1)d

d= how you get from one to the other

to get from 3 to -18 you could either subtract 21 or multiply it by -6

to find which one you have to look at the next number which is 108

to get from -18 to 108 you would either add 126 or multiply it by -6

since multiplying by -6 is in both that is the answer

d= -6

an=a1+(n-1)*-6

Answer:

 x = 4

Step-by-step explanation:

I hope this helps sorry if its wrong

Answer:

Every linear equation that is a conditional equation has one solution. However, not every linear equation in one variable has a single solution. There are two other cases: no solution and the solution set of all real numbers. ... Therefore, the equation is always true.

Step-by-step explanation:

We want to see if a one-variable equation always has only one solution.

This is false, as one-variable equations can have no solutions or more than one solution.

So we start with the statement:

"A one-variable equation always has only one solution".

We need to find a counterexample to prove that this is false, and there are really easy counterexamples, like:

x^2 - 4 = 0

This is a one-variable equation, and solving it we have:

x^2 = 4

x = ± √4 = ±2

So here we have two solutions, 2 and -2, thus the statement is false.

If you want to learn more, you can read:

https://brainly.com/question/16797952

Step-by-step explanation:

slope-intercept form : y = mx + b

m = slope

b = y intercept

y = -5x +8

Answer:

Top left    Top middle     Bottom Left       Bottom right

Step-by-step explanation        

If the angle makes an "L" it is a 90 degrees angle or a right angle

If the angle makes a "V" it is less than 90 degrees or an acute angle

If the angle makes a "Stretched out  V" it is more than 90 degrees or an obtuse angle

The option that represents the acute angle will be option A, option B, option D, and option F.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

The types of angles are as follows:

Then the option that represents the acute angle will be option A, option B, option D, and option F.

More about the angled link is given below.

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Answer:

She is so adorable

Step-by-step explanation:

Very adorable doggo

Answer:

She's adorable!! What type of dog is she?

Step-by-step explanation:

I have two rottweilers and I love them sooooo much <3

Answer:

3fufufuifjfjfjfjfjfnfnff

Answer:

1 and 1

Step-by-step explanation:

degree of 1 and 1 term.

Answer:

24 the answer is 24

Step-by-step explanation:

that's because the (LCD) of 1/6 is 24