State the independent variable and the dependent variable in the linear relationship. Then find the rate of change for the situation.

Answer:

3 hours

Step-by-step explanation:

each hour is 2,000 gallons filled up 1 hour = 2,000

                                                           2 hours = 4,000

                                                           3 hours = 6,000or 4,850

If the swimming pool is filled with 2,000 gallons per hour, time taken to fill it with 4,850 gallons of water is 2.4 hours.

Given that;

The pool is filled with 2,000 gallons in 1 hour

To fill with 4850 gallons, we require x hours

Cross multiply, hence;

x = ( 1hr × 4850 gallons ) / 2,000 gallons

x = 4850hrs / 2000

x = 2.4 hours

Therefore, if the swimming pool is filled with 2,000 gallons per hour, time taken to fill it with 4,850 gallons of water is 2.4 hours.

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Answer:

GCF: (x + 2)(9x + 6)

Step-by-step explanation:

Given the algebraic expression, 9x(x + 2) + 6(x + 2), where the greatest common factor (GCF) must be taken out:

Since (x + 2) are common between the two groups, then we can group 9x and 6 together.

In other words:

= 9x(x + 2) + 6(x + 2)  

= (9x + 6)(x + 2)

If we perform the FOIL method onto (9x + 6)(x + 2), it will result in the following trinomial:

(9x + 6)(x + 2)

= 9x² + 18x + 6x + 12

= 9x² + 24x + 12

In order to see why this works, let's go back to the original problem, as if we're trying to determine the resulting trinomial:

Given:  9x(x + 2) + 6(x + 2)  

Distribute 9x and 6 into the parenthesis:

= 9x² + 18x + 6x + 12

Combine like terms:

= 9x² + 24x + 12    ⇒ As we can see, this trinomial matches our solution.

Therefore, the correct answer is: (x + 2)(9x + 6).  

Answer:

3.1 sec.

Step-by-step explanation:

Answer:

$9.5

Step-by-step explanation:

3x2.50= 7.50

26.50-7.5 =19

19/2 = 9.5

9.5 for one adult ticket

Hi!

First, let's add (or multiply) the boxes of popcorn.

2.50 + 2.50 + 2.50 (or 2.50 x 3) is 7.50. so the popcorn all together is $7.50.

Next, we subtract the popcorn cost from the cost altogether.

26.50 - 7.50 = $19

Next, we divide the $19 by two.

19 ÷ 2 = 9.50

To make sure this is true, what we do is multiply 2 x 9.50.

2 x 9.50 = 19.

(NOTICE: your problem says a family of 4. you didn't give me the total for the other 2 people who were going to the movie, so this is just my estimate for just those 2 adults. If it's not correct, that is the reason why, otherwise, it is the answer.)

Hope this helps!

Step-by-step explanation:

x=8 this is the answer have a nice night or day!

Step-by-step explanation:

a. (3 - 2/3) ÷ (4/3 x 7)

= [(3 x 3) / (1 x 3) - 2/3] ÷ 28/3

= (9/3 - 2/3) ÷ 28/3

= 7/3 x 3/28

= 21/84

= (21 x 1) / (21 x 4)

= 1/4

b. 2/3 ÷ 5/6 - 2/5

= 2/3 x 6/5 - 2/5

= 12/15 - 2/5

= (3 x 4) / (3 x 5) - 2/5

= 4/5 - 2/5

= 2/5

c. (- 3/4 + 1/2) ÷ (2/5 - 5/2)

= [- 3/4 + (1 x 12) / (2 x 2)] ÷ [(2 x 2) / (5 x 2) - (5 x 5) / (2 x 5)]

= (- 3/4 + 12/4) ÷ (4/10 - 25/10)

= 9/4 ÷ (- 21/10)

= 9/4 x - 10/21

= - 90/84

= (6 x - 15) / (6 x 14)

= - 15/14.

If you have any doubt, then you can ask me in the comments.

Answer:

what?

Step-by-step explanation:

(36.39- 2.99)/20

Total- chips, so total amount for juice.

Then, divide by 20 because she bought 20 bottles

Answer:

1.67

Step-by-step explanation:

36.39 - 2.99 = 33.4 33.4 ÷ 20 = 1.67

Answer:

then whats the point

Step-by-step explanation:

Answer:

In £280, there will be €327.6.

Step-by-step explanation:

Since we have given that

£1 = €1.17

We need to find the value of  £280.

Using "Unitary method", we will multiply 1.17 by 280 and we get that

Hence, in £280, there will be €327.6.

# learn more:

The exchange rate at the post office is 1 pound = 1.17 euros

how many euros will you get for 280 pounds

Multiply 280 both sides

£ 280 = € 1.17 × 280

£ 280 = € 327.6

£ 1 = € 1.17

(Hope this helps can I pls have brainlist (crown)☺️)

Answer:

rounding off

26.6= 27

27 x $2.35

=$63.45

Step-by-step explanation:

she would spend $ 63.45 for food

Answer:

D. f(8) = 1961

Step-by-step explanation:

i know the answer it is i think

To predict f(x) when x equals 8 we simply substitute.  

So f(x) = 25x2 28x + 585  

f(8) = 25 (8)^2 - 28 (8) + 585

f(8) = 25 * 64 - 224 + 585

f(8) = 1600 - 224 + 585 = 1961

Hencse f(8) = 1961

Hloo friend^_^..___

Q= f(x) = 25x2 − 28x + 585

Solution

________

f(8) = 25*(8)^2 - 28*8 + 585

= 25*64 - 224 + 585

= 1600 - 224 + 585

= 2185-224

= 1961 Ans...

So the correct ans is f(8) = 1961...

I HOPE ITS HELP U MY FRIEND..^_^

BE BRAINLY..

Answer:

Each angle measures 45° with diagonals

Step-by-step explanation:

Answer:

$258

Step-by-step explanation:

Answer:the question is not there

Step-by-step explanation:

Answer:

...

Step-by-step explanation:

Answer:

a = 0

b = 5

y = 0

Step-by-step explanation:

Answer:

Approximately 12.25%

Step-by-step explanation:

The compound interest formula is:

Final balance = Principal * (1 + interest rate/number of times interest compounded per year)^(number of times interest compounded per year * years elapsed)

If we want our final balance to be twice our principal, our formula looks like:

[tex]2P = P * (1 + \frac{r}{1})^{1*6}[/tex]

We can divide our principal from both sides to get the following equation:

[tex]2 = (1 + \frac{r}{1})^{6}[/tex]

Since anything divided by 1 is itself, we can simplify a little further to:

[tex]2 = (1 + r)^{6}[/tex]

Now, we need to solve for r.  We can start by taking the sixth root of both sides.

[tex]\sqrt[6]{2} = 1 + r[/tex]

Then subtract 1 from both sides:

[tex]\sqrt[6]{2} -1 = r[/tex]

Finally, we can use a calculator to get a decimal approximation:

0.1225 ≅ r

Answer:

[tex]a_{66}[/tex] = 653

Explanation:

General formula: [tex]a_{n}[/tex] = ([tex]a_{1}[/tex] + ((term) - 1) · (common difference)

[tex]a_{66}[/tex] = 3 + (66 - 1) · (10)

[tex]a_{66}[/tex] = 653

Answer:

y=-4x+25

Step-by-step explanation:

If this is Point-Slope then:

y-y1=m(x-x1)                         m=slope

m= -4  Coordinates=(6,1)

y-1=-4(x-6)

y-1= -4x +24

y=-4x+25

Answer:

A. -5 - 3(6) > 10

   13 > 10

Step-by-step explanation:

give us the options to answer then we can answer it

Answer:

9 cups of apple juice

Step-by-step explanation:

Answer:

5. gross income of 10,000,000

[tex](64)^{\tfrac 12} \times 10^{-2}=(8^2)^{\tfrac 12} \times \dfrac 1{10^2}=\dfrac{8}{100} = \dfrac{2}{25}[/tex]

Answer:

15

Step-by-step explanation:

Because the male teacher number is 2/3 of the female teachers, we can count the female teacher number as 3/3. and since we have a ratio of 2/3 to 3/3 we can take out the 3 and think of it as 2 to 3. Since it is 2 to 3, we have 5 in total and you can divide 75 by 5 which will get you 15 (how many teachers per unit in the ratio) and if you multiply 15 by 2, you will get the male teacher number which is 30, and when you multiply 15 by 3, you will get the female teacher number which is 45, and when you subtract them, you will get 15 more female teachers.

Hope it helped!

There are 15 more female teachers than the male teachers.

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

Given that, The number of male teachers is 2/3 of the number of female teachers in a school and there are 75 teachers altogether,

Let there be 6x female and 4x male teachers in the school,

Establishing the equation,

6x + 4x = 75

10x = 75

x = 7.5

Number of more females = 6x-4x = 2x = 2(7.5) = 15

Hence, there are 15 more female teachers than the male teachers.

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Answer:

B. between 3 and 60

Step-by-step explanation:

Answer: B.

Step-by-step explanation: On Edge! :)

Answer:

y_1=9(x_8)

y_1=9x_72

9x_y=71

9x_y_71=0