A pool is draining at a constant rate. Five minutes ago, the pool had 180 gallons of water in the pool. Now there is 120 gallons of water remaining in the pool. If the pool can hold 270 gallons of water, how many minutes ago was the pool Full

Answers

Answer 1

Answer:

12 and a half minutes ago

Step-by-step explanation:

In five minutes, the pool drained 180-120=60 gallons of water. This means that the pool loses 60/5=12 gallons of water per minute.

You can make the equation 270-12x=120, where x is the amount of minutes passed.

Subtract 270 on both sides to get -12x=-150

Divide both sides by -12

x=150/12 which is 12.5

Therefore, x=12.5 or 12 and a half minutes ago


Related Questions

8a + 3b = 5a + 7b


Find the ratio a:b

Answers

3a:4b that the answer

The ratio of a:b in 8a + 3b = 5a + 7b is 4:3.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written as a/b where b does not equal 0. A proportion is an equation in which two ratios are equal to each other. For example, if there are 2 boys and 6 girls, you can write the ratio as: 1 : 3 (for every boy there are 3 girls).

Ratios compare two numbers obtained by dividing. If one data point (A) is compared to another data point (B), it is expressed as A/B. It means that we are partitioning information A from information B. For example, if A is five and B is 10, your ratio would be 5/10, or 1/2.

For above information,

8a + 3b = 5a + 7b

8a-5a = 7b- 3b

3a= 4b

So, a/b= 4/3

a:b  is 4:3

Thus, the ratio of a:b in 8a + 3b = 5a + 7b is 4:3.

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W dose x equal. Plz help fast

Answers

Answer:

You need to solve X first, then answer __x - 10 so example x=7 so 74 - 10 is 64. SO that would be 64 degrees.

{(5,2),(-6,2),(8,4),(5,13)}
State the dominant and range for the following relation. Then determine whether the relation represents a function.​

Answers

Answer:

the domain is 5,-6,8,5 the range is 2,2,4,13 it is not a function

What does it mean if a number divides another number?.

Answers

Answer:

We say one integer divides another if it does so evenly, that is with a remainder of zero (we sometimes say, "with no remainder," but that is not technically correct). More formally, mathematicians write: If a and b are integers (with a not zero), we say a divides b if there is an integer c such that b = ac.

A number divides another number of the quotient between the second and the first gives an integer number

When a number "divides" another number?

We say that a number n divides another number m if, when we take the quotient between m and n, the outcome is an integer number.

So we should have that:

m/n = integer number.

This also means that a number only can divide another number if this second number is a multiple of the first one, so if we say that (for example).

m/n = 3

Then:

m = 3*n

So m is a multiple of n, which also means that n divides m.

If you want to learn more about quotients, you can read:

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Triangle similarity What is AE?

Answers

[tex] \frac{10}{8} = \frac{2x + 6}{x + 6} [/tex]

x = 2

then AE = (2*2)+6 = 10

Answer this question ASAP

Answers

Answer:

35.0 cm (to 3 significant figures)

Step-by-step explanation:

Circumference of a circle = 2d (where d is the diameter).

Since the rectangle is inscribed in the circle (all 4 vertex touch, but not intersect, the circumference of the circle), we can see that the diameter of the circle is in fact the diagonal of the rectangle.

Therefore, to calculate the circumference we need to find the diagonal of the rectangle and plug it into the above formula.

To find the diagonal, we use Pythagoras' Theorem a² + b² = c²  (where a and b are the legs, and c is the hypotenuse of a right angled triangle).

From inspection, the diagram has given us the lengths of the legs as 9cm and 15cm.  So:  

 9² + 15² = c²

81 + 225 = c²

      306 = c²

             c = √306 = 3√34

Therefore, the diameter of the circle = 3√34 cm

Circumference = 2d

                         = 2 x 3√34

                         = 6√34

                         = 35.0 cm (to 3 significant figures)

Alicia had $94 to spend on seven books. After purchasing 7 books that cost the same price, she had $10 left.

Answers

94 - 10 = 84

84/7 = 12
So each book was $12. She purchased seven books so that $84.
$94 - $84 = $10 left

Answer:

Alicia spent $12 on each book.

Step-by-step explanation:

What we know:

- In the beginning, Alicia had $94

- She bought 7 books, that each cost the same price

- After buying the 7 books, she had $10 left over.

What we need to find:

- The cost of an individual book

Steps:

1. To find how much money she spent in total, we must subtract the leftover amount of money ($10) from the amount of money Alicia started with ($94).

94 - 10 = 84

2. Now, we have to figure out how much money Alicia spent on each book. We know that she spent a total of $84. We need to divide that amount by 7 to find the amount that Alicia spent on one book.

84 ÷ 7 = 12

Check your work:

1. Multiply the cost of one book by the number of books Alicia bought.

12 x 7 = 84

2. Find the sum of the amount Alicia spent and the amount of money Alicia had left over. 84 + 10 = 94

The total amount of money Alicia started with was $94, so we can conclude that Alicia did indeed spend $12 on each book.

1) How many two hundred millilitre cups can be filled from a one litre bottle?

2) A bucket holds four point five litres of water when full. How many millilitres does it hold when it is one quarter full?

Answers

Answer:

1) 5 glasses

2) im not sure sorry but hopefully i helped with the first one!!

ASAP WILL GIVE BRAINLY!!!!!!!!!!!!!!!!!
A dance team is made up of 9 girls and 3 boys. Two of the girls and 1 of the boys are also on the debate team.

What percent of the dance team is also on the debate team?

Answers

Answer:

25 percent

Step-by-step explanation:

Since the dance team has 9 girls and 3 boys, it is made up of 12 people.  3 of those members are also on the debate team.  12/3 = 4, meaning that a fourth of the dance team is also on the debate team.  This translates to 25 percent

25% of the dance team is also on the debate team.

What is a percentage?

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying by 100.

The percentage change is also calculated using the same method.

In percentage change we find the difference between the values given.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

There are a total of 9 + 3 = 12 members on the dance team.

Two of the girls and 1 of the boys are also on the debate team.

i.e

2 + 1 = 3

The percentage of the dance team that is also on the debate team.

= (3/12) x 100%

= 25%

Thus,

25% of the dance team is also on the debate team.

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Describe how trigonometric equations differ from trigonometric identities.

Answers

Answer:

Trigonometric identities describe equalities between related trigonometric expres- sions while trigonometric equations ask us to determine the specific values of the variables that make two expressions equal.

Answer:

Trigonometric identities describe equalities between related trigonometric expres- sions while trigonometric equations ask us to determine the specific values of the variables that make two expressions equal.

Step-by-step explanation:

hope this helps

have an awesome day -TJ

may i please have brainliest

Graphing Piecewise Functions

Answers

I believe the answer to your graphing piecewise function is the 2nd picture

Please help me and fast

Answers

I would say the third one

What does the end behavior look like of this polynomial?
2x2 + 5x-12 = 0

Answers

I think x=4 so the answer should be 12

470 DEGREE CELSIUS TO FAHRENHEIT?/

Answers

Answer:

878 degrees fahrenheit

Step-by-step explanation:

the formula for finding fahrenheit is (c*9/5)+32 = F

Answer:

878° degrees Fahrenheit

Step-by-step explanation:

Fahrenheit = (470° degrees Celsius) × 1.8 + 32°

= 878°

Which statement about the point (2, 0) is true?

A coordinate plane.

It is on the origin.
It is in Quadrant I.
It is on the x-axis.
It is on the y-axis.

Answers

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

The Correct choice is : C

[tex]\qquad \sf  \dashrightarrow \: it \: \: is \: \: on \: \: the \: x - axis[/tex]

As we can observe, the y - coordinate ( ordinate ) of the given point (2 , 0) is 0. so it's obvious that it's distance from x - axis is Zero. In other words we can say that the point is lying on x - axis.

Answer:

answer is C

it's on the x-axis

Step-by-step explanation:

hope t     his helps!

Question 5 of 5
Is x = 6 a solution to the equation x + 13 = 18?
A. Yes, because 6 + 13 = 18 is not true.
B. No, because 6 + 13 = 18 is true.
O C. Yes, because 6 + 13 = 18 is true.
O D. No, because 6 + 13 = 18 is not true.
=

Answers

Answer:

yes because 6+13=18 is true

Answer for brainliest

Answers

Answer:

Step-by-step explanation:

a) In the pic.

b) He must fill 144 baskets. I did 360÷2.5 because 360 is the amount he wants to earn, and 2.5 is the amount he gets for each basket. By dividing, I find the number of baskets he must pick.

c) The expression would be: x÷2.5   I did this because whatever amount of money he wants to earn, he needs to divide it to find the amount of baskets he needs to pick.

A person places $60100 in an investment account earning an annual rate of 5.3%, compounded continuously. Using the formula V = P e r t V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 19 years.

Answers

Answer:

$164516

Step-by-step explanation:

Solution P = 60100 + = 19 r = 5.3/100

V= Pe

V= 60100 e 5.3x19/100

V= $164516

Answer:

164,516.33

Step-by-step explanation:

r = 5.3% = 0.053

p = 60100

t = 19

V = Pe^(rt)

Plug It In:

V = 60100e^0.053(19)

V = 60100e^1.007

V = 164516.3309 ≈ 164516.33

DUE TONIGHT!!! 20 POINTS
Graph

3x - y = .2

A)

B)

C)

D)

Answers

I believe the answer is A

2,5 days to 80 hours as ratio in its simplest form​

Answers

Answer:

2 Days = 2 x 24 = 48 hours

5 days = 5 x 24 = 120 hours

and 3rd is 80 hour

their ratio are 48:120:80

and their simplest form is 6:15:10

Step-by-step explanation:

What is the area of the shaded base?

Answers

Answer:

25 in^2 or inches squared

Step-by-step explanation:

5 in * 5 in = 25 in^2 (inches squared)

Please show all work!!

Answers

can you see it now?

Triangle A has side lengths of 45, 36, 24
while Triangle B has side lengths 7.5,6,4.
Are the triangles similar? If so, what is the
scale factor of Triangle A to Triangle B.

Answers

Answer:

  A : B scale factor is 6 : 1

Step-by-step explanation:

Writing both given ratios in least-to-greatest order and in lowest terms, we have ...

  24 : 36 : 45 = 8 : 12 : 15 . . . triangle A

  4 : 6 : 7.5 = 8 : 12 : 15 . . . . . triangle B

The ratios of side lengths are the same, so the triangles are similar. The sides of the larger one are 24/4 = 6 times the sides of the smaller one.

  A : B scale factor is 6 : 1

is 1 1/4 closer to 1 or 2?​

Answers

Answer:

It is closer to 1.

Step-by-step explanation:

Think about this:

1 1/4 is 1/4 closer to one.

1 1/4 is 3/4 closer to two.

Answer:

1

Step-by-step explanation:

1 1/4 can be represented as 1.25 as a decimal.

Any decimal that is 1.5 or is higher will round up to 2, and anything that is 1.49 or lower will round down to 1.

Suppose a city with a population of 400,000 has been growing at a rate of ​3% per year. If this rate​ continues, find the population of this city in 10 years?

Answers

Answer: 537,563 people

help please finding the third side

Answers

Answer:

as it is a right angled triangle

we can find its 3rd side with the help of hypotenuse formula.

according to it

h² = a² + b²

here,

h = hypotenuse i.e. longest side of a right angled triangle

a = side

b = base

now,

a/q we have to find h (or hypotenuse) of the right angled triangle

h² = (12)² + (5)²

h = 144 + 25

h = 169

h² = √169 = 13

therefore, 3Rd side of the triangle is 13.

is most right answer

Step-by-step explanation:

Step-by-step explanation:

as it is a right angled triangle

we can find its 3rd side with the help of hypotenuse formula.

according to it

h² = a² + b²

here,

h = hypotenuse i.e. longest side of a right angled triangle

a = side

b = base

now,

a/q we have to find h (or hypotenuse) of the right angled triangle

h² = (12)² + (5)²

h = 144 + 25

h = 169

h² = √169 = 13

therefore, 3Rd side of the triangle is 13.

Hope this answer helps you dear!

• if you have any doubt plz point it out.

A secretary types 160 words in 2 minutes. How many words can she type in 45 minutes?

Answers

Answer:

3,600

Step-by-step explanation:

1 minute=80 words

2 minutes=160 words

----------> I divided 44 by 2=22x 160 =44 minutes=3,520

add 1 more minute(1 minute=80 words)

so 3,600

compare the fractions using - 4/9 and -8/20

Answers

Answer:

-2/45

Step-by-step explanation:

-4/9 is simplified and both 4 and 9 are perfect squares.

-8/20 can be reduced to -2/5 since both 8 and 20 are divisible by 4.

The difference between them is given by -4/9 - (-2/5) = (18-20)/45 = -2/45.

both marquis and ava have entensive music collections on their phones. together they have a total of 4210 unique songs.If marquis has 320 more unique songs than ave does, how many of the 4210 songs are on avaś phone?

Answers

1945 of the songs are on Ava's phone.

Calculus

Given that both Marquis and Ava have extensive music collections on their phones, and together they have a total of 4210 unique songs, to determine, if Marquis has 320 more unique songs than Ava does, how many of the 4210 songs are on Ava's phone, the following calculation must be performed:

(4210 - 320) / 2 = X3890 / 2 = X1945=X

Therefore, 1945 of the songs are on Ava's phone.

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3x + 2y = 8
5x + 2y = 12

Answers

Step-by-step explanation:

solve simultaneously

subtract the 2 equations like you subtract pure numbers from each other.

5x + 2y = 12

3x + 2y = 8

5x - 3x +2y - 2y = 12 - 8

2x = 4

x = 2

alternatively...

3x + 2y = 8

5x + 2y = 12

-2x = -4

x = 2.

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