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

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

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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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.

Answer:

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

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

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.

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

x = 2

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

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)

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.

Answer:

1) 5 glasses

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

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.

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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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

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°

[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!

Answer:

yes because 6+13=18 is true

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.

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

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:

Answer:

25 in^2 or inches squared

Step-by-step explanation:

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

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

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.

Answer: 537,563 people

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.

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

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.

1945 of the songs are on Ava's phone.

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:

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

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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.