Water level in a well was 20m below ground level. During rainy season, rainwater collected in different water tanks was drained into the well and the water level rise 5 m above the previous level. The wall of the well is 1m 20cm high and a pulley affixed at a height of 80 cm. Raghu wants to draw water from the well. Find the minimum length of the rope that he can use.

Answer:

4.5

Step-by-step explanation:

The range of the​ given data would be 5.1  which is determined by the difference between the maximum value and the minimum value of data.

The range of data is defined as a measure of the difference between the maximum value of data and the minimum value of data.

The given results data are as:

{ 2.5, 0.7, -2.2, 2.1, 2.3, -1.6, 1.1, -2.4, 2.7, 1.2 }

To determine the range of the​ data, we have to find the maximum value of the data and the minimum value of the data.

As per the given results,

The maximum value of data = 2.7

The minimum value of data = -2.4

So the range of the​ data would be:

⇒ the maximum value of the data - the minimum value of the data.

⇒ 2.7 - (-2.4)

⇒ 2.7 + 2.4

Apply the addition operation, and we get

⇒ 5.1

Therefore, the range of the​ given data would be 5.1.

Learn more about the range of data here:

brainly.com/question/11647487

#SPJ2

Answer:

8.69>8.6

Step-by-step explanation:

Because 8.69 has .09 more than 8.6

Answer:

8.69 > 8.60

Step-by-step explanation:

You need to add a zero to the end to 8.6 so it's easier to compare. Since all the digits in the two numbers are the same except 9 and zero, those are what you need to compare. 9>0, so 8.69 > 8.6

hope this helped! :)

Answer:

See below

Step-by-step explanation:

[tex] \huge {4}^{3}. (3 \sqrt{16} )^{ - 2} \\ \\ = \huge 64. (3 .4 )^{ - 2}\\ \\ = \huge 64. (12)^{ - 2} \\ \\ = \huge \frac{64}{(12)^{ 2}} \\ \\ = \huge \frac{64}{144} \\ \\\huge = \frac{4}{9} \\ \\ \\ \huge( {a}^{5} . {a}^{ - 2} )^{3} \\ \\ = \huge( {a}^{5 - 2} )^{3} \\ \\ = \huge( {a}^{3} )^{3} \\ \\ = \huge{a}^{3 \times 3} \\ \\ = \huge{a}^{9} [/tex]

Answer:

380,160 and 2nd one should be 240

Step-by-step explanation:

Answer:

The correct result is 2 pounds per quart

Step-by-step explanation:

Dividing Fractions

The division of two fractions \frac{a}{b} and \frac{c}{d} is written as:

[tex]\displaystyle \frac{\frac{a}{b}}{ \frac{c}{d}}[/tex]

This division is usually easier done by multiplying the numerator by the reciprocal of the denominator:

[tex]\displaystyle \frac{\frac{a}{b}}{ \frac{c}{d}}=\frac{a}{b}\cdot \frac{c}{d}[/tex]

Jessie was dividing these two fractions:

[tex]\displaystyle \frac{\frac{1}{4}\ pounds}{ \frac{1}{8}\ quart}[/tex]

And got the incorrect result

[tex]\displaystyle \frac{1}{32}\ \text{ pound per quart}[/tex]

This mistake was probably the result of multiplying both fractions instead of dividing them.

The correct operation is:

[tex]\displaystyle \frac{\frac{1}{4}}{ \frac{1}{8}}=\frac{1}{4}\cdot \frac{8}{1}=\frac{8}{4}=2[/tex]

The correct result is 2 pounds per quart

Answer:

1. 24 2. 64 3. 9 4. 11 5. 7 2/5

Step-by-step explanation:

Answer:

19. x = 65

20. x = 12

21. x = 35, y = 85

Step-by-step explanation:

19. 2x -10 = 120

2x (-10 + 10) = (120 +10)

2x/2 = 130/2

x = 65

20. 2x + 4x + 108 = 180

6x + (108 - 108) = (180 - 108)

6x/6 = 72/6

x = 12

21. 2x + 25 = 3x - 10

2x + (25 - 25) = 3x (- 10 - 25)

(2x - 3x) = (3x - 3x) - 35

-x/-1 = -35/-1

x = 35

3x - 10 + y = 180

3(35) - 10 + y = 180

105 - 10 + y = 180

(95 - 95) + y = (180 - 95)

y = 85

Answer:

A not rational number is called a irrational number btw. Anyway Some examples are √2 and pi.

Answer:

y = 75x + 800

Step-by-step explanation:

Answer:

y = 75x + 800

'x' represents the number of people

800 represents the base rate

Answer:

35

Step-by-step explanation:

I hope this helps!

Answer:

35

Step-by-step explanation:

Simplify

(-7) X (-5)

Negatives cancel out so its going to be positive

That's how you get 35.

Answer:

25.544

Step-by-step explanation:

Answer: No real solutions.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

We use 1/2base times height to find the area and since we already have an area we just do 24= 6h then we divide 6 on both sides and height equals 4

Answer: 6 inches

Step 1: Subtract 12 because 12 iches is the base.

24 - 12 = 2

Step 2: Divide 12 by 2 because triangles have two equal sides.

12 ÷ 2 = 6

Answer = 6

Answer:

$30,170.36

Step-by-step explanation:

I'm good at math, and I double checked with someone... I am perfectly sure that $30,170.36 is the answer.

Answer:

hi friend , your answer would be 7/8 x 3  1/4 = 91 /32 in fraction form.

Step-by-step explanation:

so friend here is my explanation :

now you can see you are multiplying with a mixed fraction .

so :

hope this helps , pls mark as brainliest .

The value of 7/8 times 3  [tex]\frac{1}{4}[/tex] is 91 /32.

Multiplication is mathematical arithmetic operation. It is also a process of adding same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times or 3 is added 2 times.

Given that the expression is 7/8 times 3  [tex]\frac{1}{4}[/tex].

Here we are multiplying fraction to mixed fraction.

We will convert mixed fraction to improper fraction.

To convert into improper fraction,

we will use the formula;

fractional number = denominator x whole no . part + numerator

numerator part of fractional number = 4 ×3 +1 = 13

Now we have 13/4

Multiply 7/ 8 x 13/4 = 91 / 32

Therefore , the 7/8 times 3  [tex]\frac{1}{4}[/tex] is 91/32.

To learn more about the multiplication;

https://brainly.com/question/19634536

#SPJ2

Answer: − 10 x + 7.5

Step-by-step explanation:

Answer:

− 10 x + 7.5

Step-by-step explanation:

Hope this helped!

Answer:

[tex]4x-y=-9[/tex]

Step-by-step explanation:

The standard form of an equation is when both variables, x & y, are on the same side of the equation with a number on the other side.

To transform this equation from slope-intercept form to standard form, just switch sides for the y and the 9 like follows.

[tex]4x-y=-9[/tex]

I hope this helped you :D

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The standard form of the equation y = 4x + 9 is

-4x + y = 9.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 2 is an equation.

2x + 4y + 4 is an equation.

We have,

y = 4x + 9

This is in the slope-intercept form of an equation.

The standard form of an equation is written as:

x + y = c

We need to keep the variable in the equation on one side and a constant on the other side of the equation

Now,

y = 4x + 9

Subtract 4x on both sides.

y - 4x = 4x + 9 -4x

y - 4x = 9

-4x + y = 9

This is in the form of a standard equation.

Thus,

The standard form of the equation y = 4x + 9 is

-4x + y = 9.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ2

Answer:

False

Step-by-step explanation:

The angles are the same, but we know nothing about the sides

For triangles to be congruent, the sides have to be the same length

Since we don't have information about the sides, we do not know if they are congruent.

Answer:

false

Step-by-step explanation:

brainliest plz

Answer:

z = -15

Step-by-step explanation:

17z = 16z − 15

Subtract 16z from each side

17z-16z = 16z-16z − 15

z = -15

Answer:

A. ([tex]4\sqrt{5}[/tex])

Step-by-step explanation:

√10 • √8 = [tex]\sqrt{80}[/tex]  - They combine into one.

 [tex]\sqrt{80}[/tex]

 /     \

[tex]\sqrt{20}[/tex]   [tex]\sqrt{4}[/tex]

 [tex]\sqrt{4}[/tex] = 2

[tex]\sqrt{20}[/tex] = [tex]2\sqrt{5}[/tex]

2 * 2 = 4

[tex]4\sqrt{5}[/tex] is the answer.

Answer:

It depends on what digits repeat

Step-by-step explanation:

A decimal with repeating digits after the decimal point can be converted to a fraction depending on the digits after the decimal point.

For example, let’s have 4/3

When we evaluate this using a calculator, we can see that we have recurring 3 after the decimal point

So 4/3 is actually 1.3333333333333

We can see that based on the number after the decimal point we can convert this to 4/3

Answer

It depends on what digits repeat

Step-by-step explanation:

I hope this helps!

Answer:

-6.34

Step-by-step explanation:

the answer is -6.34

The time Nate left his house is 8 : 40 am

After leaving his house, Nate drove 15 minutes to take his oldest daughter to the middle school . Therefore,

Then he drove ten minutes to take his two younger daughters to the elementary school. Therefore,

He drove twenty-five minutes to work. Therefore,

He arrived at work at 9:30 am. The time he left home can be calculated as follows:

Total time spent on the road = 15 + 10 + 25 = 50 minutes

Therefore,

Time he left home = 9:30 - 50 = 8 : 40 am

learn more on time here: https://brainly.com/question/25923001?referrer=searchResults

Answer:

$21.2

Step-by-step explanation:

From the problem given, we express them as algebra so that we can easily solve;

    the total charge on a call greater than 120min is given as;

   120x + y(n - 120) = total cost of call

where n is the number of minutes which is greater than 120;

  n = 175min here;

      120x + y(175 - 120) = 26.80

       120x + 55y = 26.80 ----- (I)

      n = 210min

       120x + y(210 - 120) = 32.4

       120x + 90y = 32.4 ----- (II)

Now let us solve both equations for y and x;

      120x + 55y = 26.80 ----- (I)

     120x + 90y = 32.4 ----- (II)

subtract the two equations;

             90y - 55y = 32.4 - 26.8

                  35y = 5.6

                       y = [tex]\frac{5.6}{35}[/tex]  = 0.16cents

then x;

       120x = 26.8 - 55y from equation I

       120x = 26.8 - 55(0.16)

       120x = 18

            x = [tex]\frac{18}{120}[/tex]  = 0.15cents

Find the cost of 140min of talk time;

  n =140min;

      =  120(0.15) + 0.16(140 - 120)

      = 18 + 0.16(20)

      = 18 + 3.2

      = $21.2

Answer:

[tex] - 12x[/tex]

Step-by-step explanation:

[tex]y - 3 = - 12(x + 4) \\ y - 3 = - 12x - 48 \\ y = - 12x - 45[/tex]

Thr answer is the slope.

Answer:

[tex]-\frac{3}{10}[/tex]

Step-by-step explanation:

The average rate of change of a function f ( x )  over the interval  [ a , b ]  is

[tex]=\frac{f(b)-f(a)}{b-a}[/tex]

[tex]f(x)=\frac{3}{x-2}[/tex]

and [tex][a,b]=[4,7][/tex]

[tex]f(b)=f(7)=\frac{3}{7-2}=\frac{3}{5}[/tex]

[tex]f(b)=f(4)=\frac{3}{4-2}=\frac{3}{2}[/tex]

The rate of change is

[tex]=\frac{f(b)-f(a)}{b-a}[/tex]

[tex]=\frac{\frac{3}{3} -\frac{3}{2} }{7-4}[/tex]

[tex]=-\frac{9}{10} *\frac{1}{3} =-\frac{3}{10}[/tex]