a tank contains 8000 liters of water. each day, half of the water in the tank is removed. how much water will be in the tank at the end of:
a. the 4th day?
b. the 8th day?

Answers

Answer 1
4th day = 500 liters
8th day 31.25 liters
Answer 2

On first day the tank had 8000 liters of water.

Half is removed so half of 8000 is 4000.

Subtracting 8000-4000 =4000

So at the end of first day 4000 liters of water is there.

Water in the tank at the end of second day:

Again half of 4000 is removed.

half of 4000 is 2000.

subtracting 4000-2000 =2000.

At the end of second day 2000 l of water is present in tank.

At the end of third day:

Again half of 2000 is removed.

half of 2000 is 1000.

subtracting 2000-1000 =1000.

At the end of third day 1000 l of water is present in tank.

At the end of fourth day:

Again half of 1000 is removed.

half of 1000 is 500.

subtracting 1000-500 =500.

At the end of fourth day 500 l of water is present in tank.

At the end of fifth day:

Again half of 500 is removed.

half of 500 is 250.

subtracting 500-250=250.

At the end of fifth day 250 l of water is present in tank.

At the end of sixth day:

Again half of 250 is removed.

half of 250 is 125.

subtracting 250 - 125 =125.

At the end of sixth day 125 l of water is present in tank.

At the end of seventh day:

Again half of 125 is removed.

half of 125 is 62.5.

subtracting 125-62.5 =62.5.

At the end of seventh day 62.5 l of water is present in tank.

At the end of eighth day:

Again half of 62.5 is removed.

half of 62.5 is 31.25

subtracting 62.5 - 31.25 =31.25.

At the end of eighth day 31.25 l of water is present in tank.


Related Questions

in a packet of skittles,27% are red and 14% are blue. What percentage are not red?

Answers

You just need to find 100%-27%. That is 73%.

Kim paycheck was 257.20. She put 1/4 of her paycheck into a savings account and used 1/3 of what was left to pay bills.How much money does she have remaining from her paycheck

Answers

257.20 x 1/4 = 64.30
257.20 - 64.30 = 192.90

192.90 x 1/3 = 64.30
192.90 - 64.30 = 128.60

Choose the correct simplification of the expression a^7b^8/a^4b^4
A: a^11b^12
B: a^3b^4
C: 1/a^3b^4
D: 1/a^3b^2

Answers

The answer is B: a^3b^4

Proof:
Simplify the following:
(a^7 b^8)/(a^4 b^4)

Combine powers. (a^7 b^8)/(a^4 b^4) = a^(7 - 4) b^(8 - 4):
a^(7 - 4) b^(8 - 4)

7 - 4 = 3:
a^3 b^(8 - 4)

8 - 4 = 4:
Answer:  a^3 b^4

PS: I just wish that you put the equation down as it's intended i.e.
a^7b^8/a^4b^4 is not the same as (a^7b^8)/(a^4b^4)
Move .Use the power rule to combine exponents.Add and to get .Move .Use the power rule to combine exponents.Add and to get .
Like...so it would get you:
(a7b12)(a4b8)(a7b12)(a4b8) Move a4a4 .a4a7b12b8a4a7b12b8 Use the power rule aman=am+naman=am+n to combine exponents.a4+7b12b8a4+7b12b8 Add 44 and 77 to get 1111 .a11b12b8a11b12b8 Move b8b8 .a11(b8b12)a11(b8b12) Use the power rule aman=am+naman=am+n to combine exponents.a11b8+12a11b8+12 Add 88 and 1212 to get 2020 .a11b20a11b20

So for the simplification, go with A, bc a11b8+12a11b8+12 looks the closest youre gong to get to whats there so A  a^11b^12 is yours.
~~~~Hope this helps!

Amir is operating a machine that adds sand to a concrete mixture. The machine adds 110 ton of sand to the mixture in 45 minute. Enter a number in each box to complete the statements. Write the ratio that compares 110 ton of sand to 45 minute. The ratio in ton(s) per minute(s) is $$ .

Answers

We can use a proportion box to help us solve this problem. We know that the machine adds 110 tons per 45 minutes. We want to know how many tons can be added per minute. To set up the proportion, we must ensure the units are aligned (as shown in the attached image). Then, we cross multiply and divide. So, the machine can add 2.44 tons of sand per minute. 

Walt received a package that is 2 1/3 inches long, 6 3/4 inches high, and 8 1/2 inches wide. What is the surface area of the package?

Answers

Add whole numbers: 2 + 6 + 8 = 16
Add fractions:

= 1/3 + 3/4 + 1/2

= (8 + 18 + 12) ÷ 24

= 38/24 or 1 14/24 or simplified to 1 7/12

Total surface area = 16 + 1 7/12 or 17 7/12


Answer : The surface area of the package is, [tex]185.9inch^3[/tex]

Step-by-step explanation :

The given package is in cuboid shape. Now we have to calculate the surface area of the package by using volume of cuboid.

Formula used for volume of cuboid is:

[tex]V=2(lb+bh+hl)[/tex]

where,

V = volume of package

l = length of package = [tex]2\frac{1}{3}inch=\frac{7}{3}inch[/tex]

b = width of package = [tex]8\frac{1}{2}inch=\frac{17}{2}inch[/tex]

h = height of package = [tex]6\frac{3}{4}inch=\frac{27}{4}inch[/tex]

Now put all the given values in the above formula, we get:

[tex]V=2\times [(\frac{7}{3}\times \frac{17}{2})+(\frac{17}{2}\times \frac{27}{4})+(\frac{27}{4}\times \frac{7}{3})][/tex]

[tex]V=2\times [\frac{119}{6}+\frac{459}{8}+\frac{63}{4}][/tex]

[tex]V=185.9inch^3[/tex]

Therefore, the surface area of the package is, [tex]185.9inch^3[/tex]

What is the value of Fraction 1 over 2x3 + 3.4y when x = 3 and y = 4?

Answers

Answer:

27.1

Step-by-step explanation:

hope it helps!

simplify the radical expression square root of 64y^10h^5/16y^12h^5

Answers

We assume the variables y and h to be positive.

[tex] \sqrt{\dfrac{64y^{10}h^{5}}{16y^{12}h^{5}}} =[/tex]

[tex] = \sqrt{\dfrac{64}{16} \times \dfrac{y^{10}}{y^{12}} \times \dfrac{h^{5}}{h^{5}}} [/tex]

[tex] = \sqrt{4 \times \dfrac{1}{y^{2}} \times 1} [/tex]

[tex] = \sqrt{\dfrac{4}{y^{2}}} [/tex]

[tex] = \dfrac{2}{y} [/tex]

After the simplification of the  given radial expression [tex]\sqrt{\frac{64}{16}(\frac{y^{10} }{y^{12} } )\frac{h^{5} }{h^{5} } }[/tex] we get [tex]\frac{2}{y}[/tex].

What is radical expression?

A radical expression is defined as any expression containing a radical ([tex]\sqrt{}[/tex]) symbol.

The term underneath the radical symbol is called the radicand.

How to solve radical expression?

To solve a radical expression, simply take the the square root of the radicand.

According to the given question, we have a radical expression

[tex]\sqrt{\frac{64y^{10}h^{5} }{16y^{12} h^{5} } }[/tex]

=[tex]\sqrt{\frac{64}{16}(\frac{y^{10} }{y^{12} } )\frac{h^{5} }{h^{5} } }[/tex]                           ([tex]\frac{x^{m} }{x^{n} } =x^{m-n}[/tex])

= [tex]\sqrt{4(\frac{1}{y^{2} })(1) }[/tex]

= [tex]\sqrt{\frac{4}{y^{2} } }[/tex]

= [tex]\frac{2}{y}[/tex]

Learn more about the radial expression here:

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This room has soda stains on the floor. Tyler needs a bigger rug than this to cover it. Perform a dilation on the blue rug to cover the stain. Be sure to specify the scale factor used.

Answers

You could scale the blue rug by 2 making it a 4 by 4.
Scaling it by anymore will work bit scaling it by 2 will be the smallest dilation that will satisfy this problem.
diolate the rug to twice the size of the blue rug

Deb has of a brownie. She wants to divide it up into 's of a brownie so she can have it throughout the day. How many 's will she have?

Answers

She can enjoy her original 3/4 brownie divided into six equal parts, each constituting 1/8 of the delectable treat.

Deb possesses 3/4 of a brownie and intends to partition it into smaller portions, each equivalent to 1/8 of a brownie, allowing her to savor it throughout the day.

To determine the number of 1/8 portions she'll obtain, we can perform a simple division.

By dividing 3/4 by 1/8, we essentially multiply the numerator of 3/4 by the reciprocal of 1/8, which is 8/1.

This multiplication yields (3 * 8) / (4 * 1) = 24/4.

Simplifying further, we find that Deb will have 6 portions of 1/8 of a brownie.

Consequently, she can enjoy her original 3/4 brownie divided into six equal parts, each constituting 1/8 of the delectable treat.

for such more question on equivalent

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Question

Deb has 3/4 of a brownie. She wants to divide it up into 1/8 of a brownie so she can have it throughout the day. How many 1/8s will she have's will she have?

The store is 7⁄8 of a mile away from your house. You walked 1⁄5 of a mile towards the store before getting on the bus. If the bus went directly to the store, how many miles long was the bus ride?

Answers

27/ 40-gdhdjjdjdjdjdjdjjdj

27/40 miles long was the bus ride.

What is Fraction?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

Given:

The store is 7⁄8 of a mile away from your house.

Distance covered by Walking = 1/5

and, the rest is covered by Bus.

So, the distance covered by Bus

= 7/8- 1/5

= 35/ 40- 8/40

= 27/40

Hence, 27/40 miles covered by Bus.

Learn more about Fraction here:

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help!!!!!!!! plz I need your help

Answers

-1/2X+3-4X+5+3/2X=-3X+8

If James can swim 10 laps in 23 minutes, what would be his expected time for 15 laps?

Answers

You can use a proportion.

10 laps is to 23 minutes as 15 laps is to x minutes

10/23 = 15/x

10x = 15 * 23

10x = 345

x = 34.5

Answer: 34.5 minutes
Correct, the person is correct

PLEASE HELP ME SOLVE WILL MARK AS BRAINLIEST IF ANSWERED CORRECTLY AMND SERIOUSLY

k/2+1-1k=-2k

Answers

We can simplify this equation and find the value of k.

k ÷ 2 + 1 - 1k = -2k
k ÷ 2 + 1 = -k
k + 1 = -2k
1 = -3k
k = -1/3
Answer:   k = "- [tex] \frac{2}{3} [/tex]"  ; or, write as:   " -0.667 " .

_________________________________________________________
Given:

(k/2)  + 1  -  1k  = -2k ;  
_________________________________________________________

Add "1k" to each side of the equation:

(k/2)  + 1  -  1k  + 1k  =  -2k + 1k  ;

to get:


(k/2)  + 1  =  -1k ; 

Multiply the ENTIRE EQUATION (both sides) by "2" ;  
               to eliminate the "fraction" ;

2 * [ (k/2) + 1 = -1k ] ;


to get:

k + 2 =  -2k  ;

Subtract "k" from each side of the equation;

k + 2 - k = -2k - k ;

to get:

2  =  -3k ;

↔  

-3k = 2 ;

Divide each side of the equation by "-3" ; to isolate "k" on one side of the equation ; &  to solve for "k" ;

-3k / 3  = 2/-3 ;

to get:

k = - [tex] \frac{2}{3} [/tex]  ; or, write as:   " -0.667 "
______________________________________________ 

A window washer cleaned 38 windows in 2 hours. At this rate, how many windows did he clean in 7 hours?

Answers

38:2=
19:1=
133:7
133 windows.

To solve this problem, we need to find the unit rate (the amount of windows cleaned per hour) and multiply by 7. 

To find the unit rate, we need to divide 38 by 2:

38 / 2 = 19

Now, we need to multiply this by 7:

19 * 7 = 133

In 7 hours, the window washer can clean 133 windows. 

Hope this helps!

What scale factor was applied to the first rectangle to get the result image?

Answers

I dont know what the images are but scale factor is is a number which scales, or multiplies, some quantity. Technically it is the number you have to multiply on each side that will get you the sides on the smaller or larger rectangle!!!

I hope it helps!!!
- Amana

Answer:

Step-by-step explanation: Add pic so ppl can help

sally purchased a rectangular table for her drawing room. The sides of the table are 24 inches and 18 inches. What is the diagonal length of the table?
HELP FOR BRAINLIEST

Answers

C. 30 in would be your answer

What is the solution set?

​ 3.3x−11.6>18.1 ​

Enter your answer in the box.
Please answer fast thanks!

Answers

The solution set is (9, ∞).

To solve the inequality 3.3x-11.6>18.1, we need to isolate the variable x.

First, we can add 11.6 to both sides of the inequality to get 3.3x>29.7.

Then, we can divide both sides by 3.3 to solve for x: x>9.

We can express the solution set using interval notation as (9, ∞).

Therefore, The solution set is (9, ∞).

The solution set for the inequality 3.3x - 11.6 > 18.1 is x > 9, meaning x is greater than 9.

To solve the inequality 3.3x - 11.6 > 18.1, you can follow these steps:

1. Add 11.6 to both sides to isolate the term with x:

3.3x - 11.6 + 11.6 > 18.1 + 11.6

3.3x > 29.7

2. Now, divide both sides by 3.3. Remember, when you divide by a positive number, the inequality sign remains the same:

[tex]\[ \frac{3.3x}{3.3} > \frac{29.7}{3.3} \][/tex]

[tex]\[ x > \frac{29.7}{3.3} \][/tex]

x > 9

So, the solution set for the inequality 3.3x - 11.6 > 18.1 is x > 9.

Use the elimination method to solve the system of equations. 5x + 2y = −45x + 2y = −4 −5x + 3y = 19−5x + 3y = 19 (−2, 3)(−2, 3) There is no solution. There are an infinite number of solutions. (−4, 6)

Answers

It is (-2,3). x= -2 and y= 3. 

A vendor pays a rock band 1/3 of the total profit from T-shirts and sweatshirts sold at every concert. The vendor paid the rock band $726 after the last concert. If the profit from T-shirts sales was $1,632, what was the profit from sweatshirt sales?

Answers

Well, we know that the rock band receives 1/3 of the profits from sales of sweaters and T-shirts, so in this case, $726 was 1/3 of the profit for that particular concert.
Using this information, we know that is we multiply 1/3 by 3 we get 1 whole, so we also multiply $726 by 3 to get the value of all the profits:
$726×3= $2178
So, if $2178 was the total value of the profits and T-shirt profits were worth $1632, then the value of sweatshirt profits was $2178-$1632= $546
Therefore, your answer is $546

You walk 2 miles in 1/
2 hour. At that rate, how long will it take you to walk 3 miles?

Answers

Hello!

1/2 = 0.5 as a decimal

0.5 ÷ 2 = 0.25

That means you walk 1 mile in 0.25 of an hour. Multiply this by three:

0.25 × 3 = 0.75

Answer:

It will take you 0.75 (or 3/4) hour to walk 3 miles.
The answer is:  " [tex] \frac{3}{4} [/tex] mi. "  ;  or, write as:  " 0.75 mi. " .
__________________________________________

Write a proportion.  
__________________________________________
    
   [tex] \frac{(2) mi}{(0.5) h } = \frac{(3) mi.}{(x)h} [/tex] ;

Solve for "x" , [ (in units of "h"; (hours) ] ; 

Note:  "Cross-multiply" ; 

Note:  Given (a/b) = (c/d) ;   → ad = ab ;   (b ≠ 0 ; d≠ 0) ; 

      →   2x = (0.5 * 3) ; 

      →   2x =  1.5  ; 

Divide each side of the equation by "2" ;
   to isolate "x" on one side of the equation; & to solve for "x" ;  

        2x / 2 = 1.5 / 2 ; 

to get:

       →   x = 1.5 / 2  = 15/20 = (15÷5) / (20÷5) = 3/4 ;

or:     x = 1.5 / 2 = 15/20 = (15*5) / (20*5) = 75/100 = 75 ÷ 100 = 0.75
________________________________________________________

 The answer is:  " [tex] \frac{3}{4} [/tex] mi. "  ;  or, write as:  " 0.75 mi. " .
________________________________________________________

If the area of a circle is 12.56 square centimeters,then what is the radius

Answers

A= pi r^2
12.56=pi r^2
12.56/pi=r^2
3.997=r^2
√3.997=r
r=1.99
Radius is 1.9

A new car is purchased for 20300 dollars. The value of the car depreciates at 8.75% per year. What will the value of the car be, to the nearest cent, after 12 years?

Answers

Answer:

$6,765.35.

Step-by-step explanation:

Here we have to use the rate of depreciation, the initial value and the total time to find the final value with this formula

[tex]A=A_{0}(1-r)^{t}[/tex]

Where [tex]A[/tex] is the final value, [tex]A_{0}[/tex] is the initial value, [tex]r[/tex] is the rate of depreciation and [tex]t[/tex] is the time.

Replacing all values, we have

[tex]A=20300(1-0.0875)^{12}[/tex]

[tex]A=6765.35[/tex]

Therefore, after 12 years the car will value $6,765.35.

if the least value the variable k can be is 12,which of the following inequalities best shows all the possible values of k

Answers

Answer:
k ≥ 12

Explanation:
We are given that the least possible value for k is 12.
This means that k can either be 12 or more.
Translating this into an inequality, we will find that the inequality is as follows:
k ≥ 12

Hope this helps :)

Answer:

Its K ≥ 12

Step-by-step explanation:

Hope this helps! Have a good day!:) and happy St. Patrick's day lol

I'm confused about this question, can someone help me

Answers

The distance from Miami to Jacksonville to Tampa will be the same as Tampa to Jacksonville to Miami, you're just retracing your steps.

This is the Associative Property of Addition, which states that it does not matter what order you add numbers, you will always end up with the same answer if you add them correctly.

What is the surface area of this rectangular prism? Rectangular prism with length labeled 12 meters, height labeled 3 meters, and width labeled 4 meters. m²

Answers

the answer to the question is 344
There are 6 sides on the rectangular prism. Two sides have length × width dimension. Two sides have length × height dimension. Two sides have width × height dimension. To find the surface area, we need to find the sum of the area of the six sides.

sa = (2 × l × w) + (2 × l × h) + (2 × w × h)
sa = (2 × 12 × 4) + (2 × 12 × 3) + (2 × 4 × 3)
sa = 96 + 72 + 24
sa = 192

The surface area is 192 m²

Simplify the expression. 5x + 1 - 18

Answers

5x-17 would the answer
combine like terms.

5x + 1 - 18

1 - 18 = -17


5x - 17 is your answer

hope this helps

Can u guys help me with the visual question please

Answers

which problem is it?

Choose the correct simplification of the expression g to the power of 5 times h to the power of 4 all over g to the second power times h to the third power.

A g7h
B g3h
C g7h7
D g to the third power over h to the seventh power

Answers

Your problem looks like this:
[tex] \frac{ {g}^{5} \times {h}^{4} }{ {g}^{2} \times {h}^{3} } [/tex]
One rule of indicies is that when you divide numbers with indicies and the same base, you minus the indicies.
This means that you just need to do
[tex] {g}^{5} \div {g}^{2} = {g}^{3} [/tex]
and
[tex] {h}^{4} \div {h}^{3} = {h}^{1} = h[/tex]
Therefore, your answer is
[tex] {g}^{3} h[/tex]

Answer:

g3h

Step-by-step explanation:

I got it right

Brett has a $30 online gift voucher. He plans to buy as many books as he can. The cost of each book is s4. There is also a single shipping charge of $2. How many books can he afford without spending more than his gift voucher amount?

Answers

well, 4 times 7 is 28 and then plus 2 is 30! Therefore, he buy at the most 7 books.

General Idea:

When we are working with word problems, we need to follow the below steps:

Step 1: Assign variable for the unknown that we need to find.

Step 2: Write a meaningful mathematical equation using the sentence given

Step 3: Solve the equation by Performing reverse operation by Undoing whatever is done to the variable. Solving means find the value of the variable which will make the equation TRUE.

Applying the concept:

Step 1: Let x be the number of books that Brett can afford without spending more than his gift voucher amount.

Step 2: Writing mathematical equation based on the given sentence "Brett has a $30 online gift voucher. He plans to buy as many books as he can. The cost of each book is $4. There is also a single shipping charge of $2"

[tex] Online \; Gift \; Voucher=Number \; of \; books \; \times \; Cost\;per \; Book \; + \; Single \; shipping \; charge [/tex]

[tex] 30=4x+2 [/tex]

Step 3: Solving equation

[tex] 4x+2=30\\ Subtract \; 2 \; on \; both \; sides\\ \\ 4x+2-2=30-2\\ Combine \; like \; terms\\ \\ 4x=28\\ Divide \; 4 \; on \; both \; sides\\ \\ \frac{4x}{4}= \frac{28}{4} \\ Simplifying \; fraction \; on \; both \; sides\\ \\ x=7 [/tex]

Conclusion:

The number of books that Brett can afford without spending more than his gift voucher amount is 7 !!


A bird’s wing span is the distance from the tip of one wing to the tip of the other. A California condor can have a wingspan of 9 1/2 feet. A big hummingbird can have a wingspan of 2 1/2 inches. How much longer is the California condors wingspan then the
Bee hummingbirds?

Answers

first convert the condors wingspan into inches

12x 9.5=114
convert hummingbird inches to decimal
2.5
subtract for difference
114-2.5=111.5
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