Water is added or drained from a tank each day. The first day, 910 of a gallon is added to the empty tank. The second day, 710 of a gallon is drained from the tank. The third day, 810 of a gallon is added to the tank. The fourth day, 610 of a gallon is drained from the tank. The amount of water in the tank after 15 days is given by 910+(−710)+810+(−610)+⋯+310+(−110)+210 9 10 + ( − 7 10 ) + 8 10 + ( − 6 10 ) + ⋯ + 3 10 + ( − 1 10 ) + 2 10 . How much water is in the tank after 15 days? Write your answer as a decimal. gallon(s)

Answers

Answer 1

Answer:

The quantity of water in the tank after 15 days is 1610.0 gallons OR 1.61 × 10³ gallons.

Step-by-step explanation:

The amount of water in the tank after 15 days is given by the series

910+(−710)+810+(−610)+⋯+310+(−110)+210

From the series, we can observe that, if water is added for a particular day then water will be drained the following day.

Also, for a day when water is to be added, the quantity to be added will be 100 gallon lesser than the quantity that was last added. Likewise, for a day when water is to be drained, the quantity to be drained will be 100 gallons lesser than the quantity that was last drained.

Hence, we can complete the series thus:

910+(−710)+810+(−610)+710(-510)+610(-410)+510(-310)+410(-210)+310+(−110)+210

To evaluate this, we  get

910-710+810-610+710-510+610-410+510-310+410-210+310-110+210

= 1610.0 gallons

Hence, the quantity of water in the tank after 15 days is 1610 gallons OR 1.61 × 10³ gallons.


Related Questions

Solve for B. N=-m^2+3d/b

Answers

Answer:

b = 3d/n+m^2

Step-by-step explanation:

What is the purpose of the "Resolution" in the Declaration of Independence?

Answers

Answer:

The Lee Resolution, also known as the resolution of independence, was an act of the Second Continental Congress declaring the Thirteen Colonies to be independent of the British Empire. Richard Henry Lee of Virginia first proposed it on June 7, 1776. It is the earliest form and draft of the Declaration of Independence.

Step-by-step explanation:

Solve the following 2+(4×7)-9​

Answers

21 is the answer of the question

Find the square root of [tex]\sqrt -36[/tex]

Answers

This can’t be done because you can not find the square roots of negatives! Hope this helps <3
i believe it’s i square root of 6

How much does 1 lemon cost if 6
lemons are $2.99?​

Answers

Answer: About 50 cents 0.50

Step-by-step explanation: 2.99 / 6 = 0.50

Answer:

         _

0.4983

if you want a more simple answer then you could probably round it to about 50 cents each i guess.

Which ordered pair is a solution to this equation?
2x + 3y = 16
A. (3, 2)

B. (7, 2)

C. (5, 2)

D. (11, 1)

Answers

Answer: c

Step-by-step explanation:

(5,2)

2(5)+3(2)=16

10+6=16

16=16

–3х + бу = 12
What is the x and y intercept

Answers

Answer:

x = -4. y= 2 is the answer

Step-by-step explanation:

-3x + 6(0) = 12

-3x=12

divide 12 by -3

-4

-3(0) + 6y = 12

6y= 12

12 divided by 6

2

Answer: y=1/2x+2

Step-by-step explanation:

Finding the Area of a Triangle

Answers

Answer: 1, 3, 6

Step-by-step explanation:

What is 3 1/2?
A. -2/-7
B. -3 1/2
C. 3 1/3
D. -2/7

Answers

C 3 1/2
The lines in between the number means absolute value. This means that’s when the number is simplified it would become positive. Since 3 1/2 isn’t negative it would just stay the same

When looking at graphs, which of the following statements is true about functions? If each vertical line passes through only one point, it is a function. Each vertical line must pass through at least two points to be a function. If there are more than 3 points on the graph it is not a funcion. A function cannot be represented on a graph.

Answers

Answer:

If each vertical line passes through only one point, it is a function.

Step-by-step explanation:

The true statement about functions:

-If each vertical line passes through only one point, it is a function.

What is function?

"It is a relation between a set of inputs and a set of possible outputs."

What is vertical line?

"Any line parallel to the Y-axis"

What is vertical line test?"It is a method that is used to determine whether a given relation is a function or not.""This test states that, any vertical line in the plane can intersect the graph of a function at most once".

For given question,

We need to determine where the given graph represents a function or not.

When we look at graphs,

Using vertical line test,

If any vertical line intersects the graph more than once, then the graph is not a function.

Therefore, the true statement about functions:

-If each vertical line passes through only one point, it is a function.

Learn more about the graph of a function here:

https://brainly.com/question/27757761

#SPJ2

Find the value of x in the triangle below. x =
Y
29x + 3
D
c
11x-2
950

Answers

if it is x=y,29x+3=11x-2 then

29x-11x=-2-3,

18x=-5

,x=-5/18

In Hawaii, January is a favorite month for surfing since 60% of the days have a surf of at least 6 feet.† You work day shifts in a Honolulu hospital emergency room. At the beginning of each month you select your days off, and you pick 6 days at random in January to go surfing. Let r be the number of days the surf is at least 6 feet.

Answers

Answer:

3 days.

Step-by-step explanation:

Based on the information provided we see that roughly 60% of the days in January have 6ft+ waves then we would need to use this value to calculate the number of days that are good for surfing. We calculate this by multiplying the number of days that you can surf by 60% using the equation below as r being the actual total amount of days....

r = 6 * 0.60%

r = 3.6

As we can see that there are roughly 3 days that see this amount of wave activity between the 6 chosen dates. We have to round down because we are talking about full days and 3.6 does not meet a fourth full day.

6x-5 = -6(x+2)

I keep getting an incorrect fraction answer please help

Answers

Answer:

x = -7/12 or -0.583.. repeating.

Step-by-step explanation:

6x-5= -6(x+2)

___________ (distributive property)

(to group like terms)

6x-5 = -6x-12

___________ (addition poe) (add 6x on both sides to cancel -6 out)

+6x +6x

___________

12x-5 = -12

__________

+5 +5 (addition poe) (add 5 to both sides to cancel -5 out)

__________

12x = -7

__________

÷12 ÷12 (division poe) (divide both sides by 12 to get x)

x = -7/12

solve f = 2/t + 5 for T​

Answers

Answer:

t=2/f-5

Step-by-step explanation:

2/t=f-5

or,2=(f-5)/t

t=2/(f-5)

what is
[tex] {y}^{2} = 44[/tex]
can anyone help me pls​

Answers

Answer: check picture

Solving Steps:

1. The total cost in dollars to buy uniforms for the players on a volleyball team can be
found using the function c = 34.95u + 6.25, where u is the number of uniforms
bought. If there are at least 8 players but not more than 12 players on the volleyball
team, what is the domain of the function for this situation?

Answers

The domain will be the integer numbers between 8 and 12 using the limits in other words 8 ≤ u ≤ 12

this is considering every player will bought only one uniform for the season

Hope this helped!

if thats not it read this and see if this works out

The domain of the function is

Step-by-step explanation:

Given : The total cost in dollars to buy uniforms for the players on a volleyball team can be found using the function c= 34.95u +6.25, where u is the number of uniforms bought.

If there are at least 8 players but not more than 12 players on the volleyball team.

To find : What is the domain of the function for this situation ?

Solution :

The total cost in dollars  c= 34.95u +6.25

Where, u is the number of uniforms bought.

Now, The number of uniforms bought depend on the number of players.

We have given that, there are at least 8 players but not more than 12 players on the volleyball team.

i.e, The number of players are between 8 to 12.

So, The domain of the function is

8< u < 12  

hope this helped

What is 0.02 written as a percent? Will give brainiest is fast and correct
a.
0.0002%
b.
0.02%
c.
2%
d.
20%

Answers

Step-by-step explanation:

  answer is; c. 2%

Multiply by 100 to convert a number from decimal to percent then add a percent sign %. Converting from a decimal to a percentage is done by multiplying the decimal value by 100 and adding %. The shortcut to convert from decimal to percent is to move the decimal point 2 places to the right and add a percent sign.

pic below

mark me as brainliest please

thanks in advance

[tex]haveanawesomeday[/tex]

. Three out of four students in school have at least one sibling. If there are 300 students in your school, how many would have at least one sibling?

Answers

Answer: 225 students would have at least one sibling.

Step-by-step explanation:

Three out of four is the same as  3/4 meaning that if there are 300 students in your school then 3/4 times 300 will give the number of students with at least one sibling.  

3/4 * 300 = 225  

This means 225 students would have at least one sibling.

it would be 225

.75 x 300 = 225

What expression shows the greatest common factor correctly factored from the expression 12a2−36ab+18b2?

Answers

Answer:

Factor each coefficient into primes

Step-by-step explanation:

The Factor  expression shows the greatest common factor correctly factored from the expression 12a2−36ab+18b2 is each coefficient into primes.

What is expression?1a: an action, procedure, or instance of representing something in a medium (like words): freedom of expression in speech. b This gift is meant to show how much I like you. (1): something that represents, embodies, or manifests another. (2): an important phrase or term.A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. Word illustration: The product of 8 and 3. Word illustration: The product of 8 and 3 is 11 written as 8 + 3.The Factor  expression shows the greatest common factor correctly factored from the expression 12a2−36ab+18b2 is each coefficient into primes.

To learn more about expression refer to:

brainly.com/question/723406

#SPJ2

Determine the 50th term in the sequence defined by an = -11+ 5(n − 1).

Answers

The 'nth' term is a formula with 'n' in it which enables you to find any term of a sequence without having to go up from one term to the next. 'n' stands for the term number so to find the 50th term we would just substitute 50 in the formula in place of 'n'.

the cost of 4 pounds of grapes is $24.36.wgat is the constant of proportionality
A.6.09
B.20.36
C.8.12
D.28.36​

Answers

The answer
A:6.09

Th explanation
Divide 24.36 by 4 and that’s what you get

if Aubrey buys 12 bottles of orange juice at the corner store for a.total cost of $6.36. if each a bottle cost the same amount how much is each bottle

Answers

Answer:

0.53 is the right answer its not 0.28 because I did the work and I got 0.53 by dividing

Step-by-step explanation:

∠A and \angle B∠B are supplementary angles. If m\angle A=(4x-30)^{\circ}∠A=(4x−30)

and m\angle B=(4x-14)^{\circ}∠B=(4x−14)

, then find the measure of \angle A∠A.

Answers

Answer:

the measure of ∠A. is 87∘

Step-by-step explanation:

Two angles are said to be supplementary angles if the sum of those angles is 180 degrees.

_________________________________________________

Given

∠A=(4x−30) ∘

∠B=(4x−14) ∘

Fir angles to be supplementary

∠A + ∠B = 180

(4x−30) ∘ + (4x−14) ∘ = 180∘

(8x -54 )∘ = 180∘

=> 8x =  180∘ +  54∘= 234∘

=> x = 234∘/8 = 29.25∘

Thus,

∠A=(4x−30) ∘

∠A=(4*29.25−30) ∘ =( 117 - 30 ) ∘ = 87∘

Thus,

the measure of ∠A. is 87∘

Question:
A recipe says to use 3.5 cups of flour to make 48 cookies. What is the constant of proportionality that relates the number of
cookies made, y, to the number of cups of flour used, x Round your answer to the nearest tenth
es -
HELP ASAP

Answers

Answer:

13.7 cookies per cup

Step-by-step explanation:

Here, we want to write the constant of proportionality that relates the number of cookies to the

number of flours.

What we do

simply here is to divide the number of cookies by the number of cups of flowers

That would be;

y/x = 48 cookies/3.5 cups = 13.7 cookies per cup

3414159274920293848389392020202209383

there you go now may I ask you when you are curious about a certain happening like what breakfast that's give you more energy or what is the fastest route from your house to school what will you do?​

Answers

Answer:

Idk. I will probably find a faster route to school and research abt which foods give u more energy...... IDK

Step-by-step explanation:

Helpp meee pleaseeeeeeeeeee !!!!

Answers

Step-by-step explanation:

since the domain of the function is given, you just have to plug in the numbers to the function:

13x - x²

it's basically asking: if x was any of the numbers in the given domain, what would it be the answer be?

for example:

I'll solve for -2 and you can do the rest.

13 • -2 -(-2 ²) =

13 • 2 + 4 =

26 + 4 = 30

so the range for -2 would be 30

True or false? The circle above is 4 Square units.

Answers

Here you go :)

Hey, don't second guess yourself ok, you got this!!

The answer is True

________

Answered by James

the length of a side of a square is 8x+4.If the perimeter of the square is 80 inches, what is they value of x?

Answers

Answer:

Step-by-step explanation:

Note: Perimeter = sum of all the lengths of the shape.

In the case of a square, since all the sides are equal.

This means that if one side = 8x + 4, the perimeter would be 4 times 8x+4 since there are 4 equal sides in a square.

Perimeter = 4 ( 8x + 4)

Perimeter = 32x + 16

We also get told in the question that the perimeter = 80 inches.

Meaning that:

32x + 16 = 80

From here we can solve for x.

Subtract 16 from both sides:

32x = 80 - 16

32x = 64

Divide both sides by 32 to solve for x.

x = 64/32 = 2

THIS IS THE 3RD TIME I SAY THIS, PLZ HELP ME I WILL MARK BRAINLIEST

Answers

Answer:

1/4

Step-by-step explanation:

Sorry you had to wait sso long to get an answer, but here it is:

If you count out any of the cubes in a side of the original polygon, and then count the cubes in the same side of the smaller copy, you will see that there is a ratio. That ratio is 4 : 1, meaning that the scale factor is 1/4.

Hope this helps :)

Answer:

4:1

Step-by-step explanation:

first figure has 4 among the colomuns

second one has 1   so the differance is    first one is  4 times as big as the second one

find the slope and the y intercept 2x+y-2=0

Answers

Answer:

Slope: -2; Y-intercept: 2

Step-by-step explanation:

To find the slope, you can rewrite the equation into standard form:

2x+y-2=0

2x+y=2

y=2-2x

The slope is the coefficient of x, which is -2. The y-intercept is the other number, which is 2.

Step-by-step explanation:

gradient= ‐2

y‐ik intercept=2

explanation: rearrange the equation to make y your subject

from the equation , you already know that ‐2 is m (from the equation y=mx +c , whereby m is your gradient) which means ‐2 is your gradient.

from your equation you would also know that 2 is your y‐intercept. also from the equation y=mx+c is your UK intercept

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