. A certain tap can fill a tank in 4 hours and
another tap can fill it in 6 hours. If both the taps
are opened, how long will it take for the tank to
be full?​

Answers

Answer 1

Answer:

Given -

Time taken by first tap = 4 hours.Time taken by second tap = 6 hours.

Now, we'll calculate the work done by both the taps -

[tex] \\ \sf \: \frac{1}{4} + \frac{1}{6} \\ \\ \\ \bf \: lcm \: \: of \: \: 4 \: \: \& \: \: 6 = 12 \\ \\ \\ \implies \sf \: \frac{3 + 2}{12} \\ \\ \\ \implies \sf \frac{5}{12} \\ \\ [/tex]

Now, reciprocal it -

[tex] \\ \implies \sf \frac{12}{5} = 2 \frac{2}{5} \\ [/tex]

Therefore, time taken by both the taps will be 2 2/5 hours.


Related Questions

Given: C-20= 4-3c
Prove: c= 6

Answers

Answer:

Step-by-step explanation:

just plug in c

6-20 = 4 - 3(6)

In how many ways 5 people can sit on 5 chairs on a podium

Answers

Answer:

120 people

Step-by-step explanation:

The number of people as well as the number of chairs is 5

so that means there are exactly 120 ways in which they can be seated.

10) Select the relationship between each pair of quantities
that is not proportional.
A. A small pizza costs $9.00 and each additional topping cost
$0.75
B. A health club charges $45 per month.
C. A car travels 60 miles in 1 hour 120 in 2 hours and 180 miles
in 3 hours
D. A student earns $12 for each hour she tutors.

Answers

Answer:

A.

Step-by-step explanation:

Small pizza would have 12 toppings. Becuase $9.00 divided by 0.75 is 12. Meaning there would be 12 toppings on a small pizza.-E.A.

HELP ME PLZZ I NEED HELLPPP!!!!!1

Answers

Answer:

-225 feet

Step-by-step explanation:

The submarine started at -40 feet and wend down 185 feet which means the submarine is now at -225 feet.

Work:

-40 + (-185)

-40-185

-225

Final Answer: -225 feet

to make chocolate milk, the lunch lady uses 4 cups of white milk for each cup of chocolate milk

Answers

Answer:

to make chocolate milk, the lunch lady uses 4 cups of white milk for each cup of chocolate milk

to make chocolate milk, the lunch lady uses 4 cups of white milk for each cup of chocolate milk

to make chocolate milk, the lunch lady uses 4 cups of white milk for each cup of chocolate milk

to make chocolate milk, the lunch lady uses 4 cups of white milk for each cup of chocolate milk

to make chocolate milk, the lunch lady uses 4 cups of white milk for each cup of chocolate milk

to make chocolate milk, the lunch lady uses 4 cups of white milk for each cup of chocolate milk

to make chocolate milk, the lunch lady uses 4 cups of white milk for each cup of chocolate milk

Step-by-step explanation:

Which of the following equations has a graph with a y-intercept of -8?
Ay=3x - 8
B. y = -8x + 3
C. 3x - 8y = -5
D. -8x + 3y = -5

Answers

the answer is a because when the 8 is by itself it menas it's the y-intercept

The equation that has a graph with a y-intercept of -8 is y =3x - 8. The correct option is A. y =3x - 8

To determine which of the given equations has a graph with a y-intercept of -8.

We will compare the equations with the slope-intercept form of the equation of a straight line.

The slope-intercept form of the equation of a straight line is

y = mx + c

Where m is the gradient or slope

and c is the y-intercept

For A. y =3x - 8

By comparing with y = mx + c

m = 3 and c = -8

∴ The y-intercept here is -8

For B. y = -8x + 3

By comparing with y = mx + c

m = -8 and c = 3

∴ The y-intercept here is 3

For C. 3x - 8y = -5

This can be written as

y = (3/8)x + 5/8

By comparing with y = mx + c

m = 3/8 and c = 5/8

∴ The y-intercept here is 5/8

D. -8x + 3y = -5

This can be written as

y = (8/3)x - 5/3

By comparing with y = mx + c

m = 8/3 and c = - 5/3

∴ The y-intercept here is -5/3

Hence, the equation that has a graph with a y-intercept of -8 is y =3x - 8. The correct option is A. y =3x - 8

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Maya painted 3/4 of her art project in the morning and 1/8 of her project in the evening which equation can Maya use c to find how much of the project she painted

Answers

The equation to find the proportion painted is: [tex]\mathbf{c = \frac{7}{8}x}[/tex]

Let the size of the art be x.

In the morning, she paints 3/4 of x.

So, we have:

[tex]\mathbf{Morning = \frac 34 x}[/tex]

In the evening, she paints 1/8 of x.

So, we have:

[tex]\mathbf{Evening = \frac 18 x}[/tex]

So, the amount of project painted is:

[tex]\mathbf{c = Morning + Evening}[/tex]

This gives

[tex]\mathbf{c = \frac 34x + \frac 18x}[/tex]

Take LCM

[tex]\mathbf{c = \frac{6x + x}8}[/tex]

Add the numerator

[tex]\mathbf{c = \frac{7x}8}[/tex]

So, we have:

[tex]\mathbf{c = \frac{7}{8}x}[/tex]

Hence, the equation to find the proportion painted is: [tex]\mathbf{c = \frac{7}{8}x}[/tex]

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What is the value of x?

20
35
60
70

Answers

Answer:

its 60. u gotta know this stuff man

the answer would be 20.

the angle is 60 degrees.

so you would do 20+40 to get 60 degrees and 3*20 to also get 60 degrees

I need the answer to this question and it’s timed

Answers

Answer:

Ramesh is not correct; 7^-5 is 1/ 16807

Step-by-step explanation:

what is 1,016 rounded to the nearest thousand

Answers

Answer:

Step-by-step explanation:

1,000

Its the closest from 1000 to 2000

In a triangle the longest side is 3 inches longer than twice the shortest side. The third side is 2 inches less than twice the shortest side. If the perimeter of the triangle is 61 inches, which equation should be used to find the length of the shortest side, s?

Answers

Answer:

your face

Step-by-step explanation:

:)

Let's let A, B, C represent the sides of the triangle from shortest to longest, then:

A = ?

B = A + 2

C = A + 3

To find the perimeter we add all the sides p = A + B + C, and based on the problem

p = A + B + C

26  = A + (A + 2) + (A+3)

26 = 3A + 5

21 = 3A

7 = A

Now we can use the fact that A = 7 in, which is the shortest side, to find all three sides:

A = 7

B = 7 + 2 = 9

C = 7 + 3 = 10

The lengths  of the sides are 7 in, 9 in, and 10 in.

May I get brainliest please? :)

R is in between P and S. PR = 15.5 mm, RS = 13.3 mm. Find PS

Answers

Answer:

28.8mm

hope this helped you

please mark as the brainliest (ㆁωㆁ)

A scale on a blue print drawing of a house shows that 10 centimeters represents 2 meters. What number of actual meters are represented by 18 centimeters on the blue print?

Answers

Answer:3.6 m

Given:10cm=2m

Then, 5cm=1m

Therefore, (18/5)= lenght I'm meters on blueprint scale

(18/5)=3.6m

how to do this question plz ​

Answers

Answer:

wouldnt it be like 4 times 7 =  28? or something like that???

Answer:

4 times 7 equals 28

Step-by-step explanation:

Plz choose mine as brainliest

This table displays the height of water as a pool is being filled. A 2-column table with 4 rows. Column 1 is labeled Time (minutes) with entries 10, 11, 12, 13. Column 2 is labeled height (inches) with entries 3.75, 4.1, 4.45, 4.8. Arrows are drawn from each row to the next. Use the table to interpret the rate of change.


What is the change for each consecutive input?


What is the change for each consecutive output?


What is the rate of change for the relationship?

Answers

Answer:1. 0.35. 0.35

Step-by-step explanation:

I did the question on edgenuity

The change for each consecutive time given is: 1

The change of each consecutive height given is: 0.35

The rate of change for the relationship between time and height is: 0.35

The table that displays the height of water when a pool is being filled against time is shown in the image attached. (See attachment).

Recall:

Rate of change can be calculated as: change in output / change in input

Change in output = difference between consecutive outputs

Change in input = difference between consecutive inputs

In the question given,

Time is input

Height is output

Thus:

Change for each consecutive input (time):

13 - 12 = 12 - 11 = 11 - 10 = 1

Therefore, the change of each consecutive input (time) is: 1

Change for each consecutive output (height):

4.8 - 4.45 = 4.45 - 4.1 = 4.1 - 3.75 = 0.35

Therefore, the change of each consecutive output(height) is: 0.35

Rate of change of the relationship between time and height:

Rate of change = change in height / change in time

Rate of change = 0.35/1 = 0.35

In summary:

The change for each consecutive time given is: 1

The change of each consecutive height given is: 0.35

The rate of change for the relationship between time and height is: 0.35

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Differentiate y=(sinx)(3x^2) please help please !

Answers

Answer:

6xsinx + 3x²cosx

Step-by-step explanation:

Differentiate using the product rule

Given y = f(x)(g(x) , then

[tex]\frac{dy}{dx}[/tex] = f(x)g'(x) + g(x)f'(x)

Here f(x) = sinx ⇒ f'(x) = cosx

g(x) = 3x² ⇒ g'(x) = 6x

Thus

[tex]\frac{dy}{dx}[/tex] = 6xsinx + 3x²cosx

Patricia is ordering t-shirts for her business. Company A charges $10.50 for each t-shirt and a one-time design fee of $45. Company B charges $12.50 for each t-shirt and a one-time design fee of $35.

Which inequality can be used to find x, the minimum number of t-shirts that can be ordered so that the total charge at Company A is less than the total charge at Company B?


10.5+45x>12.5+35x

10.5x+45>12.5x+35

10.5+45x<12.5+35x

10.5x+45<12.5x+35

ILL MAKE MOST BRAINLIEST PLS ANSWER!!!

Answers

Answer:

I think the answer would be the fourth answer or the second answer.

sorry if its not the correct answer.

Step-by-step explanation:

D; 10.5x + 45 < 12.5x + 35

We are told that;

Charges of Company A; $10.50 for each t-shirt plus one-time design fee of $45. If x is the minimum number of shirts ordered so that the charge at Company A is less than the total charge at Company B. Thus;

C_a = 10.5x + 45

Similarly, we are told that;

Charges of Company B; $12.50 for each t-shirt plus one-time design fee of $35. If x is the minimum number of shirts ordered so that the charge at Company A is less than the total charge at Company B. Thus;

C_b = 12.5x + 35

Since we want to make C_a < c_b

Then, we will have;

10.5x + 45 < 12.5x + 35

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For his long distance phone service, Boris pays a $7 monthly fee plus 7 cents per minute. Last month, Boris's long distance bill was $17.45
For how many minutes was Boris billed?
I minutes
?
Answer is : 149 minutes

Answers

Answer:

149  minutes

Step-by-step explanation

- Naya had 48 tickets for games at the school carnival. She used 1/3 of her tickets to play the
spin-the-wheel game. She used 1/2of the remaining tickets to play a balloon game, where
she won 8 more tickets. How many tickets did Naya have after playing these two games?

Answers

Answer:

16

Step-by-step explanation:

48/3=16

16/2=8

8+8=16

Find the length of AB if AB = x + 10, BC = x + 14, and AC = 32.

Answers

Answer:

14

Step-by-step explanation:

AB + BC = AC

[tex]x + 10 + x +14 = 32 \\ 2x = 8 \\ x = 4 \\ \\ [/tex]

AB = 4 + 10 = 14

Answer:

           AB = 14

Step-by-step explanation:

AB + BC = AC

x + 10 + x + 14 = 32

2x + 24 = 32

   -24       -24

 2x  =  8

 ÷2     ÷2

  x = 4

AB = x+10 = 4+10 = 14

Convert 3/5 to a decimal.
A
0.6
B
1.5
C
0.3
D
15.0

Answers

Answer:

A 0.6

Step-by-step explanation:

Can someone please help me ASAP❤️

Answers

38,320 (for positive scientific notation you move the decimal to the right how ever many places, so move the decimal 4 places to the right in this case)

Help?? PLSSSS NOWWWWW

Answers

Using the equation y=9x you can substitute x for the hours. Y=9 times 5 and y=9 times 8. Y=45 and y=72. The range is $45-$72

Please somebody help I have to redo 11th grade if i dont complete.. brainliest if you can help :(

Answers

Answer:

see below

Step-by-step explanation:

Assuming that

Point A is the same as point X

Point B is Point Y

Point C is Point Z

So we have

[tex]X=(1,5)\\\\Y=(2,2)\\\\Z=(6,1)[/tex]

the rule for a rotation of 180° is

For 180 degrees, the rule is (a, b) --------> (-a, -b)

so we have

[tex]X'=(-1,-5)\\\\Y'=(-2,-2)\\\\Z'=(6,1)[/tex]

the rule for reflection across the x axis

(a,b)----->(a,-b)

so we have

[tex]X''=(1,-5)\\\\Y''=(2,-2)\\\\Z''=(6,-1)[/tex]

If CB=2x+5 and DE=10, find the value of x

Answers

Answer:

Step-by-step explanation:

2x + 5 = 10

2x = 5

x = 2.5

So um what’s the answer to this. -7(2+k)=7

Answers

Answer:

k = -3

Step-by-step explanation:

-7(2 + k) = 7

Divide both sides by (-7)

2 + k = 7/-7

2 + k = -1

Subtract 2 form both sides

   k = -1 - 2

k = -3

Answer:

k = -3

Step-by-step explanation:

[tex]-7(2+k)=7\\\\-14-7k=7\\\\-14+14-7k=7+14\\\\-7k=21\\\\\frac{-7k=21}{7}\\\\\boxed{k=-3}[/tex]

Hope this helps.

what is y 5(y -10)=-5

Answers

Answer:

y=9

Step-by-step explanation:

5(y-10)=-5

We move all terms to the left:

5(y-10)-(-5)=0

We add all the numbers together, and all the variables

5(y-10)+5=0

We multiply parentheses

5y-50+5=0

We add all the numbers together, and all the variables

5y-45=0

We move all terms containing y to the left, all other terms to the right

5y=45

y=45/5

y=9

The value of y = 9 is correct. Therefore, the solution is y = 9.

To solve the equation 5(y - 10) = -5 for y, follow these steps:

Step 1: Distribute the 5 on the left side of the equation:

5y - 50 = -5

Step 2: Move the constant term to one side by adding 50 to both sides:

5y - 50 + 50 = -5 + 50

Step 3: Simplify the left side and evaluate the right side:

5y = 45

Step 4: Isolate y by dividing both sides by 5:

5y / 5 = 45 / 5

Step 5: Simplify and calculate y:

y = 9

The solution to the equation is y = 9. To verify, substitute y with 9 in the original equation:

5(9 - 10) = -5

5(-1) = -5

-5 = -5

Since both sides are equal, the value of y = 9 is correct. Therefore, the solution is y = 9.

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If the CI on a sum of money for 3 years at
the rate of 2% per annum is 306.04, then
what will be the SI?​

Answers

Answer:

Compound Interest = Total amount of Principal and Interest in future (or ) less the Principal amount at present called (PV). PV is the current worth of a future sum of money or stream of given a specified .Compound Interest = Total amount of Principal and Interest in future (or ) less the Principal amount at present called (PV). PV is the current worth of a future sum of money or stream of given a specified .where P = Principal, i = annual interest rate in percentage terms, and n = number of compounding periods for a year.Compound Interest = Total amount of Principal and Interest in future (or ) less the Principal amount at present called (PV). PV is the current worth of a future sum of money or stream of given a specified .where P = Principal, i = annual interest rate in percentage terms, and n = number of compounding periods for a year.P=306.04/[(1+0.02)^3–1]=5000Compound Interest = Total amount of Principal and Interest in future (or ) less the Principal amount at present called (PV). PV is the current worth of a future sum of money or stream of given a specified .where P = Principal, i = annual interest rate in percentage terms, and n = number of compounding periods for a year.P=306.04/[(1+0.02)^3–1]=5000The formula for calculating simple interest is:Compound Interest = Total amount of Principal and Interest in future (or ) less the Principal amount at present called (PV). PV is the current worth of a future sum of money or stream of given a specified .where P = Principal, i = annual interest rate in percentage terms, and n = number of compounding periods for a year.P=306.04/[(1+0.02)^3–1]=5000The formula for calculating simple interest is:Simple Interest = Principal x Interest Rate x Term of the loanCompound Interest = Total amount of Principal and Interest in future (or ) less the Principal amount at present called (PV). PV is the current worth of a future sum of money or stream of given a specified .where P = Principal, i = annual interest rate in percentage terms, and n = number of compounding periods for a year.P=306.04/[(1+0.02)^3–1]=5000The formula for calculating simple interest is:Simple Interest = Principal x Interest Rate x Term of the loan= P x i x nCompound Interest = Total amount of Principal and Interest in future (or ) less the Principal amount at present called (PV). PV is the current worth of a future sum of money or stream of given a specified .where P = Principal, i = annual interest rate in percentage terms, and n = number of compounding periods for a year.P=306.04/[(1+0.02)^3–1]=5000The formula for calculating simple interest is:Simple Interest = Principal x Interest Rate x Term of the loan= P x i x nSimple Interest = 5000*0.02*3=300

Estimate the value of negative square root of 150.

Answers

Answer:

-12.25

Step-by-step explanation:

Let's investigate what happens when negative values appear under the radical symbol (as the radicand) for cube roots and square roots.

In some situations, negative numbers under a radical symbol are OK. For example, radnegnew14is not a problem since (-2) • (-2) • (-2) = -8, making the answer -2. In cube root problems, it is possible to multiply a negative value times itself three times and get a negative answer.

Difficulties, however, develop when we look at a problem such as radnegnew214. This square root problem is asking for a number multiplied times itself that will give a product (answer) of -16. There simply is no way to multiply a number times itself and get a negative result. Consider: (4) • (4) = 16 and (-4) • (-4) = 16.

CUBE ROOTS:

radnn1

BUT

SQUARE ROOTS:

n2

Yes, (-2) x (-2) x (-2) = -8.

No problem.

 

Nope!   (4) x (4) ≠ -16.

Nope!   (-4) x (-4) ≠ -16.

bullet Square roots are the culprits! The difficulties arise when you encounter a negative value under a square root. It is not possible to square a value (multiply it times itself) and arrive at a negative value. So, what do we do?

statement

The square root of a negative number does not exist among the set of Real Numbers.

When problems with negatives under a square root first appeared, mathematicians thought that a solution did not exist. They saw equations such as x2 + 1 = 0, and wondered what the solution n3 really meant.

In an effort to address this problem, mathematicians "created" a new number, i, which was referred to as an "imaginary number", since it was not in the set of "Real Numbers". This new number was viewed with much skepticism. The imaginary number first appeared in print in the year 1545.

def The imaginary number "i" is the square root of negative one.

neg i

An imaginary number possesses the unique property that when squared, the result is negative.

irad1

Consider: irad2a

The process of simplifying a radical containing a negative factor is the same as normal radical simplification. The only difference is that the irad4 will be replaced with an "i ".

As research with imaginary numbers continued, it was discovered that they actually filled a gap in mathematics and served a useful purpose. Imaginary numbers are essential to the study of sciences such as electricity, quantum mechanics, vibration analysis, and cartography.

When the imaginary i was combined with the set of Real Numbers, the all encompassing set of Complex Numbers was formed.

Dan bought these items for
school: 2 pens at $0.75 each, 1
notebook at $1.99, a package of
pencils for 25 cents. How much
change would Dan get if he gave the
cashier a 5 dollar bill?

Answers

The answer is: Dan would get $1.26 in change if he gave the cashier a 5 dollar bill.
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