A swimming pool is filled at a constant rate.When half full the pool has had 7500 litres poured into it. a)How much will the pool hold when full?b) what fraction has been filled when 5000 litres of water are in the pool?

Answer:

x = -24

Step-by-step explanation:

First, distribute 2 to all terms within the parenthesis:

2(x + 11) =

2 * x = 2x

2 * 11 = 22

2x + 22 = -26

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Additions

Subtractions

~

First, subtract 22 from both sides of the equation:

2x + 22 (-22) = -26 (-22)

2x = -26 - 22

2x = -48

Next, divide 2 from both sides of the equation:

(2x)/2 = (-48)/2

x = -48/2

x = -24

x = -24 is your answer.

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The rule that represents the height of the ball after each bounce is;

H(n) = 400(0.8)^(n - 1)

From online sources, we have that;

After first bounce, height = 400 m

After 2nd bounce, height = 320 m

After 3rd bounce, height = 256 m

Formula for the nth term of a geometric sequence is;

T_n = ar^(n - 1)

First term is 400m

Since second term is 320, then common ratio is;

r = 320/400

r = 0.8

Thus, the 6th bounce which is the 6th term will be;

T_6 = 400 * 0.8^(6 - 1)

T_6 = 131 m

Read more about geometric sequence at; https://brainly.com/question/21688964

Answer:

22

Step-by-step explanation:

I did it on math class

Answer:

2 solutions:  -2 and -3

Step-by-step explanation:

x² + 5x + 6 has the following factors:  (x+3)(x+2) = 0

x+3 = 0; one solution is -3

x+2 = 0; second solution is -2

Answer:

12

Step-by-step explanation:

may I have the brainliest

Answer:

B) 12

Step-by-step explanation:

Since the triangles are similar by the AAA (angle-angle-angle) theorem, each pair of corresponding sides is proportional to each other. Thus, since the left triangle is twice as large as the right triangle:

6(2)=x

12=x

Answer:

you will multiple 16 from 15 and you will have 2.4

Answer:

2 x 3 x 3

Step-by-step explanation:

Prime Factorization is finding which prime numbers multiply together to make the original number.

Prime numbers are whole numbers greater than 1 that cannot be made by multiplying other whole numbers: 2, 3, 5, 7, 11, 13, 17, 19 ... etc.

Factors are the numbers you multiply together to get another number.

To find the prime factors of 18:

Start with dividing the number by the first prime number, 2.

So can 18 be divided by 2?  Yes:  18 ÷ 2 = 9   ⇒  So 2 is a factor.

However, 9 is not prime number.  Can 9 be divided by 2 and give us a whole number? No, as 9 ÷ 2 = 4.5 and 4.5 is not a whole number.

So let's try dividing 9 by the next prime number, 3:  9 ÷ 3 = 3.

We can now stop as we divided by the prime number 3 AND the result is a prime number.

Therefore, the prime factorization of 18 = 2 x 3 x 3

As two of the factors are the same (3) , we can also write this using exponents:  18 = 2 x 3²

Answer:

To graph the function

Step-by-step explanation:

You can use negative one zero one and two, or negative 2, negative one, zero and one as x values to help you graph the function.

After graphing the function you can easily determine the domain and range.

Answer: √7 feet

Step-by-step explanation:

Hypotenuse(h)=4ft

Base(b)=3ft

Now,Using pyhagoras theorem,

h²=p²+b²

4²=p²+3²

16-9=p²

p=√7feet

Hence, the remaining side is √7feet

Answer:

what we have to do here

please tell us .

then i will help you

you can use this formula

then it might help you

Answer:

-3

Step-by-step explanation:

If I'm reading the question correctly, the table of data has the answer:

Input Output

 1          3

 2          1

 3          0

 4         -1

 n         -3

Answer:

it's C

Step-by-step explanation:

2y=22............

Answer:

$0.11 per fluid ounce

Step-by-step explanation:

1 pint = 16 fluid ounces

1.76 / 16 = 0.11

Answer: yes, indeed it is i forgot how it is but it is

Answer:

180 months

Step-by-step explanation:

have a good day

Answer: If i'm correct i think the subsets of b are

={0},{1},{2},{0,1},{1,2} ,{2,0},{0,1,2},{phye}

Step-by-step explanation:

Answer:

subsets of b are-={0},{1},{2},{0,1},{1,2} ,{2,0},{0,1,2},{phye}

Step-by-step explanation:

Answer:

2.8

Step-by-step explanation:

we do 56% times 5= 2.8

so 2.8 is your answer

(this answer was given by my friend who claims this is true.)

Answer:

[tex]n*6[/tex]

Step-by-step explanation:

A number being n and the product meaning multiplication.

End behaviour

#1

#2

Tyoe:-

#1

#2

Number of real zeros:-

Mark the x intercepts

#1

#2

Answer:

umm so if she makes $50 a week she must have sold special cars, possibly like super cars i guess?

Step-by-step explanation:

The total money Suzie earned in that week is $930.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, Suzie Chambers sells cars for a living. She earns $450 per week plus a commission of 5% on sales.

One week she sold $9600 worth of cars.

Now, the total money earned

= 450+5% of 9600

= 450+5/100 ×9600

= 450+0.05×9600

= 450+480

= $930

Therefore, the total money Suzie earned in that week is $930.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ2

Answer:

18.75%

Step-by-step explanation:

720 - (209+376) =

720 - 585 = 135

135/720 = 0.1875 --> 18.75%

1: Underline, 'What is the interest rate?'

2: Highlight, 'His initial deposit was $800, and after 500 years, the balance is $842.'

3: 1,3,2,4

Step-by-step explanation:

This is what I can do so far

Answer:

they each share the same variable which is raised to the same exponent, 1

Step-by-step explanation:

The difference between values is gotten by subtracting the values

The dimension of the frame that will surround the picture is 10 inches by 0 inches

The given parameters are:

The dimension of the frame is the difference between the dimension of the fancy, and the picture.

So, we have:

Length = 25 inches - 15 inches

Length = 10 inches

Width = 10 inches - 10 inches

Width = 0 inches

Hence, the dimension of the frame that will surround the picture is 10 inches by 0 inches

Read more about differences at:

https://brainly.com/question/2475734

Answer:

123°

Step-by-step explanation:

you're finding the measurement of angle xwz, so as you already know the measurement of angle wxy and ywz, you simply have to add the measurements together and you'll get the answer 123° ^^ I hope this helped :)

Answer:

123 degrees

Step-by-step explanation:

Angle XWZ is the combination of both XWY and YWZ. We're given both of the angle measurements, so the sum of both of the angles will give us the answer. 84 + 29 = 123.

Answer:

Unknown number = 4

Step-by-step explanation:

Let x = the unknown number

2x + 4 = 12

Subtract 4 from both sides

2x = 8

Divide by 2 on both sides

x = 4

I hope this helped and please mark me as brainliest!