A rectangular swimming pool is 4 ft deep. One side of the pool is 4.5 times longer than the other. The amount of water needed to fill the swimming pool is 1800 cubic feet.
Find the dimensions of the pool.

Answers

Answer 1

Answer:

19 x 23.5 x 4

Step-by-step explanation:

4 * x * (x + 4.5) =1800

Divide both sides by 4

x * (x + 4.5) = 450

Use distributive property

x^2 + 4.5x = 450

Move all terms to one side

x^2 + 4.5x - 450 = 0

Use quadratic formula to solve   a = 1, b = 4.5, c = -450

-4.5 +- [tex]\sqrt{4.5^2 - 4 * 1 * -450}[/tex]/2

=-4.5 + - [tex]\sqrt{1820.25}[/tex] / 2

= -4.5 +- 42.664 / 2

=19.08 and -23.582. You can't have a negative length, so it is 19.08, or 19

19 x 23.5 x 4


Related Questions

SOMEBODY HELP NO LINKS PLZ AND THANK YOU

two stores opened on the same day. Both stores have 75 customers by the end of the first week, Store A'S customers doubled each week for six weeks, Store B's customers increased by 200 each week for six weeks. Which store had more customers at the end of week 5 ?

A Store A
B Store B
C They have the same number of customers
D Not enough information

show work plz and thank you

Answers

Answer: store b

Step-by-step explanation:

Answer: b

Step by step explanation

Brittany works at the local fish hatchery. Her job is to unload the boxes of fish food. What is the surface area in square feet of the entire package? The package is a rectangular box.

Answers

Answer:

4.25 sq. ft

Step-by-step explanation:

l = 24

w = 0.5

h = 12

SA = 2lw + 2lh + 2wh

2*(12*0.5 + 24*0.5 + 12*24) = 612 sq. in = 4.25 sq. ft

(y-5)+0=(y-5)
Identify the property

Answers

Answer:

Identity property of addition

Step-by-step explanation:

PLS PLS PLS PLS HELP :D <33

Answers

Answer:

Value of x = 3

m∠HEB=27°

Step-by-step explanation:

1) CEH and HEB are complementary angles, therefore both of their angles added together will be 90 degrees

2) Set the two equations added together equal to 90 and solve for x

19x+6+9x=90

28x=84

x=3

3) Plug in x into 9x to get HEB

9(3)=27

Please help!!!! Will give brainliest!!!!

Answers

Answer:

it is c

Step-by-step explanation:

Which of the following word phrases describe the expression y + 3?

A.three less than y
B.the sum of y and 3
C.the product of y and 3
D.three more than y

Answers

B. The sum of y and 3

Hope you find this helpful!
Brainliest and a like is much appreciated!

Help help help help math ASAP

Answers

Answer:that is 0.01541

Step-by-step explanation:

The front lawn of NPHS has a roped off area of 2x^2 - 11x + 15. What are the
possible dimensions of the roped off area?

Answers

Answer:

[tex]x-3[/tex] by [tex]2x-5[/tex] units

Step-by-step explanation:

Use the slide-and-divide method to factor the polynomial:

[tex]2x^2-11x+15[/tex]

[tex]x^2-11x+30[/tex]

[tex](x-6)(x-5)[/tex]

[tex](x-3)(2x-5)[/tex]

Therefore, the dimensions are [tex]x-3[/tex] by [tex]2x-5[/tex] units

Which type of correlation does this scatterplot show?

Answers

Positive correlation. Y varies directly with x. Meaning as x increases or decreases, Y will behave the same as x.

The sum of three consecutive odd numbers is 987. Find the numbers.

Answers

Answer:

Step-by-step explanation:

Let first odd number = a, second odd number = a +2, third odd number = a + 4

a + a + 2 + a + 4 = 987

3a + 6 = 987

3a = 981

a = 327

First odd number = a = 327

Second odd number = a + 2 = 329

Third odd number = a + 4 = 331

Show all work to solve 2x2 +7x - 4 = 0

Answers

Heyy!!

2x2 + 7x - 4 = 0

4x + 7x - 4 = 0

11x - 4 = 0

11x = 4

x = 4/11

ANSWER: x = 4/11

Find the volume of the prism. Round to the nearest tenth.

Answers

Answer:

A: 437.1 cm³

Step-by-step explanation:

You find the area of the prism by the base of the prism & height multiplied together.

Here, the base of the prism is a triangle.

All the triangles sides are given, so lets lave them: A:8, B:8, and C:10.

Using SSS, we can find the area, which is ≈ 31.1.

If we multiply that number by 14.

We get he area of the prism.

Depending on how your rounded, the area of the prism is:

≈437.2, which is close enough to know that the asswer is A: 737.1 cm³

Hope this helped <3

An article fills 5/8 of a magazine page. A related photo takes 1/4 of the article. How much of the page is taken up by the photo?

Answers

Answer:

2/8

Step-by-step explanation:

12. Graph each using graph paper:

X<5

Answers

Answer:

Step-by-step explanation.

x+3y=-5
4. Tyler and Han are trying to solve this system by substitution:
Tyler's first step is to isolate x in the first equation to get x = -5 - 3y. Han's first step
is to isolate 3y in the first equation to get 3y = -5 - X.
Show that both first steps can be used to solve the system and will yield the same
solution.

Answers

Answer:

Tyler's - (-5 - 3y) + (3y) = -5

Han's - (x) + (-5 - x) = -5

Step-by-step explanation:

If we are going to use Tyler's first step then we would use x = - 5 - 3y and substitute it in the original simultaneous equation x + 3y = -5, becoming (-5 - 3y) + (3y) = - 5 giving an exact answer of - 5.

But if we are using Han's first step then we will still substitute into the original simultaneous equation but in 3y. It would become

x + (-5 - x) = - 5 which also gives us an exact answer of -5.

Thus proving that both first steps show the same solution of -5.

A bag contains 42 red,45 green, 20 yellow and 32 purple candies you pick one candy at random find the probability that it is green or yellow

Answers

Answer:

Probability 29%

Step-by-step explanation:

Answer:

65/139

Step-by-step explanation:

Just did this problem

Factor x4 - y4 completely.
A) (x^2 + y^2)(x + y)(x - y)
B) (x^2 - y^2)(x + y)(x - y)
C) (x^2 + y^2)(x - y)(x - y)
D) (x^2 + y^2)(x + y)(x + y)

Answers

Option A

Rate as BRAINLIEST

if any doubt leave a comment

Please help to answer the question below

Answers

Answer:

angle 2 and angle 3 are corresponding angles.

Answer:

2 and 3 corresponding, angle 2 and angle 3

The equation of a line is given below.
2x + 5y = -5
Find the slope and the y-intercept.
Then use them to graph the line.

Answers

Answer:

y=-2/5x-1

Step-by-step explanation:

2x+5y=-5

Step 1: Add-2x to both sides.

2x+5y=-5

+-2 +-2

5y=-2x-5

Step 2: Divide both sides by 5.

5y ÷ 5 = -2x-5÷5

y=-2/5x-1

A taxi ride costs $3 plus $2.50 per mile. if sasha has 37 in cash,what is the greatest whole number of miles she can ride in this taxi? 25 points if done with explanation and correct answer

Answers

Answer:

13 miles is the greatest whole number of miles she can go.

Step-by-step explanation:

37-3=34

$5 for 2 miles

34/5 = 6 remainder 4

that is 12 miles. But since she still has 4 dollars left, she can go another mile. so, 12 +1 = 13

hope this helps :)

Math help please!!!!!!!!!!!!!!

Answers

Answer:

x-1

correct me if im wrong

Solve the following systems of linear equations below by elimination or by substitution method. y = 4/3 x - 9
y = x + 3

Answers

Answer:

x=33 and y=36

Step-by-step explanation:

You can rewrite the equation into

x+2=4/3x-9

Now you can subtract 2 on both sides

x=4/3x-11

Now subtract 4/3x on both sides:

-1/3x=-11

Multiply -3 on both sides:

x=33

Now substitute x with 33

y=33+3

y=36

Thus x=33 and y=36

Hope this helps!

A bakery charges 15 for delivery plus 3 per cupcake. Let C represents the number of cupcakes. Which expression can be used to find the cost of a number of cupcakes, including the delivery?

A. 15c+3
B. 15c
C. 3c+15
D, 12c

Answers

Answer:

The answer is A.15c+3

Step-by-step explanation:

Which graph represents a linear function? (4 points)

A coordinate plane is shown with a curved line that starts in the bottom left area of the graph, passing through the point -1 comma -5, curving to pass through the y-axis at 2.5, then curving up again to pass through the point 1 comma 5
A coordinate plane is shown with a line passing through the x-axis at negative 2 and the y-axis at negative 6.
A coordinate plane is shown with a parabola graphed in an upward U shape. The bottom of the parabola touches the y-axis at -10 and curves upward on both sides
A coordinate plane is shown with a wavy line that sits on the x-axis and moves across the graph in even up and down waves.

Answers

Answer:

The second option

Step-by-step explanation:

Linear means a straight line.

Choices 1, 2, and 4 are wrong because they are either a parabola or wavy, and by definition of both of these terms, they are not straight and are therefore not linear.

Frederick needs to borrow $3000 for a down payment on a new car. His uncle decided to loan him the money as a 2.1
%
%
loan. Frederick doesn't want to pay more than $189 in interest. How many years does Frederick have to pay back the loan?

Answers

Answer:

3 years

Step-by-step explanation:

$3000(.021)=$63 per year.

189/63=3 years.

PLEASE HELP WILL MARK BRAINLIEST!

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve ~

[tex] \sf \sqrt{ {x}^{3} } [/tex]

[tex] \sf { ({x}^{3} ) }^{ \frac{1}{2} } [/tex]

[tex] \sf (x ){}^{3 \times \frac{1}{2 }} [/tex]

[tex] \sf{x {}^{ \frac{3}{2} } }[/tex]

Hence, the required power in fractional form is ~

[tex] \sf \frac{3}{2} [/tex]

Solve the equation. Show your work!
2. 2m + 1.5 = 3m - 11.7

Answers

Answer:

gek

Step-by-step explanation:

Can y’all please help me with these questions

Answers

Answer:

13. STR

14. VY

Step-by-step explanation:

I hope this helps!

If a shirt for RS 18 is marked up to RS 20 then the percentage increase is equal to

Answers

Answer:

11.1%

Step-by-step explanation:

Increase = 20 - 18

= 2

% increase= increase/initial price × 100

= 2/18 × 100

11.1%

pls help it is math for 7th grade.

Answers

Answer:

36.8   *36 8/10 of 36 4/5

Step-by-step explanation:

2/5x(-1/2)= -2/10

37+(-2/10)=36.8

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