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

Sami has a bag full of 4900 marbles of three different colors which include blue, green and black in the ratio 16:13:20. Find the number of each colored marbles in her bag.

Answers

Answer:

See the calculation below

Step-by-step explanation:

[tex]16 + 13 + 20 = 49[/tex]

[tex]blue = \frac{16}{49} \times 4900 \\ = 1600[/tex]

[tex]green = \frac{13}{49} \times 4900 \\ = 1300[/tex]

[tex]black = \frac{20}{49} \times 4900 \\ = 2000[/tex]

?/5 =8/10 type the missing number that makes this fraction equal

Answers

Answer:

[tex]?=4[/tex]

Step-by-step explanation:

[tex]\frac{?}{5}=\frac{8}{10}[/tex]

[tex]\frac{2?}{10}=\frac{8}{10}[/tex]

[tex]2?=8[/tex]

[tex]?=4[/tex]

Simplify the expression. Write your answer as an improper fraction.
-2/3x divided by (-4/9)

Answers

Answer:

3/2x

Step-by-step explanation:

2

3

x

4

9

=

3

2

x

1985 x 99 I already know the answer: 196515

Answers

Answer:

196515

Step-by-step explanation:

Answer:

196515

Step-by-step explanation:

Can somebody, anybody please helppp
Simplifiy the expression.
x^2 + 3x - 28/ x^2 - 7x + 12
show your work! (this part is REALLY important) thanks(:

Answers

Answer:

Step-by-step explanation:

3x3 then 4 x v ?

I NEED HELP ON QUESTION B AND C ASAP.

Answers

Answer:

See below

Step-by-step explanation:

Part B

Assumed the dimensions of the top and bottom parts are identical.

Since the cylindrical part has total height of 1.8 cm and the hemisphere volume is transferred to bottom part and the cone part is still full, the value of h is the difference of the total height of cylinder and full part of the top section of cylinder:

h = 1.8 cm - 0.3 cm = 1.5 cmPart C

Find the volume of sand in the bottom part. It consists of a hemisphere and a cylinder of 1.5 cm height.

V(cylinder) = πr²h = 3.14*(2.6/2)²*1.5 ≈ 7.96 cm³V(hemisphere) = 2/3πr³ = 2/3*3.14*(2.6/2)³ ≈ 4.6 cm³

Total sand in the bottom part:

7.96 + 4.6 = 12.56 cm³

Time taken:

12.56 / 0.05 = 251.2 seconds = 4 min 11.2 seconds

The jazz band has 14 members. To raise money for a tour, each member sold r raffle tickets. Write an expression that shows the number of raffle tickets sold.

Answers

Answer:

14r

Step-by-step explanation:

since there are 14 members and each sold r tickets r x 14 which is 14r

20% percent tip on 8 dollar

Answers

Answer:

9.60 dollars tip is $1.60

Step-by-step explanation:

Evaluate the expression when c=4. c^4 + 6

Answers

Answer:

262

Step-by-step explanation:

4x4x4x4+6

256+6

262

The average of eight different numbers is 5. If 1 is added to the largest number, what is the resulting average of the eight numbers?

Answers

Answer:

Step-by-step explanation:

X/8 = 5

X = 40

Adding 1 to the largest number (or any other of the numbers, for that matter) makes the sum 41 and the average 41/8 or 5 1/8.

The average of a given number is the sum of the given numbers divided by the number of numbers in the given set.

The resulting average of the eight numbers after adding 1 to the largest number is 5.125.

What is a mean?

It is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

Example:

2, 3, 4, 5

The average number of 1, 2, 4, and 5 is 3.

i.e 12 ÷ 4 = 3

We have,

The average of eight different numbers is 5.

Let the sum of 8 different numbers be M.

Average = M / 8

5 = M / 8

M = 8 x 5

M = 40

Now,

If 1 is added to the largest number.

This means,

40 + 1 = 41

The resulting average of the eight numbers:

= 41/8

= 5.125

Thus,

The resulting average of the eight numbers after adding 1 to the largest number is 5.125.

Learn more about mean here:

https://brainly.com/question/23263573

#SPJ2

Ramon surveyed his friends about their favorite snacks. He found that 1/6 of his friends prefer trail mix. What is the equivalent decimal for the fraction of friends that prefer trail mix? Drag and drop the correct number to the box. 1/6 0.16 or 6

Answers

Answer:

hlp

Step-by-step explanation:

hlp

1 minute is equal to 60 seconds. How many seconds are in 3 minutes, 37 seconds?

Answers

Answer:

217 Seconds.

Step-by-step explanation:

The answer is 217 seconds because 60x3+37=217.

Select the correct answer.
Simplify the following expression.

Answers

Answer:

B. 1/3

Step-by-step explanation:

This question is designed to show if you know the exponent rules. Exponent Rules are short cuts. If you are multiplying two terms and they both have the same base (the big bottom number), then you could ADD the exponents (the small font raised numbers) Here the base is 3 in both terms. We keep that base. Then add 2/5 and -7/5 to get -5/5. This is just -1.

Another Exponent Rule is how to use negative exponents. So far we have 3^-1 (that means three to the negative one power)

In order to make that negative exponent positive, you just move it across the fraction bar. So we would lower it below the fraction bar to make it a positive one exponent. So you end up with 1/3

I need help ASAPPP this is very important

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Which quadrilateral is a trapezoid?

Answers

Answer:

Hey mate!

Step-by-step explanation:

A trapezoid is a quadrilateral with exactly one pair of parallel sides. (There may be some confusion about this word depending on which country you're in. In India and Britain, they say trapezium ; in America, trapezium usually means a quadrilateral with no parallel sides.)

pls mark me as brainliest!!

A line with a slope of 2 passes through the point (3,9).
Write an equation for this line in point-slope form.

Answers

Answer:

y-9=2(x-3)

Step-by-step explanation:

y-y1=m(x-x1)

y-9=2(x-3)

A statistics teacher was interested in the relationship between the number of days students waited to start a project
and the score that project received (out of 100 points). Information was collected on several students and was used
to obtain the regression equation ý= -3.64x + 96.5, where x represents the number of procrastination days and ý is
the predicted grade. What is the predicted grade of a student who procrastinated for 1 week?
O24.59
71.02
O 92.86
O. 96.5

Answers

Answer:

71.02

Step-by-step explanation:

x is the number of days

1 week = 7 days

-3.64 (7) + 96.5 = 71.02

Approximately what portion of the circle is shaded blue?

Answers

Answer: C. (1/6)

Step-by-step explanation: If you split the circle in half horizontally, the top part would be 1/3 and the bottom part would be 3/3. 1/3 + 3/3 = 4/6 and 4/6 simplified is 1/6.

If f(x) and g(x) are inverse functions, find f(g(x)).
A)
-1
B)
0
C)
1
D)
х

Answers

Answer:

x.

Step-by-step explanation:

f(g(x)) = x.

Examine the graphic organizer above. Which of the choices below BEST fills in the blank on the graphic organizer?

Answers

Hsbshshhsshhshshshhshs

The diagram shows the distance between my home, H. and two towns, A and B.

It also shows information about journey times.

What is the average speed of the journey from my home to town A?

Answers

I do not know English :33333

plzzz what is the difference between the 15th square number and the 7th square number​

Answers

Answer:

176

Step-by-step explanation:

15² - 7² = (15+7)*(15-7) = 22*8 = 176

check: 225 - 49 = 176

A passenger plane flew from Texas to Frankfurt and back. The round trip is 9900 km.
return trip took 4 hours less than the trip to Frankfurt because of the 50 km/hr wind over the ocean on the return trip. Assume there was no wind on the trip to Frankfurt. Let x km/hr represent the average speed of the plane in still air.

Answers

We want to find the average speed of the plane in still air, we will get that the average speed of the plane in still air is 355.3 km/hr

So we know that the total trip is 9900km, so from Texas to Frankfurt the distance is half of that:

9900km/2 = 4950km

Now, The speed of the plane in still air is x km/hr

The speed of the air is 50 km/hr, and it flows from Frankfurt to Texas.

So in the first part of the trip, the wind blows in opposite direction to the motion of the plane, thus the speed of the plane will be:

(x - 50) km/hr

While in the return trip the wind blows in favor of the plane, in this case, the speed is:

(x + 50)km/hr

Then if the first part of the trip lasts for T hours (the second for T - 4 hours) we can write the system of equations:

(x - 50)*T = 4950

(x + 50)*(T - 4) = 4950

Where I removed the units so it is easier to read.

If we isolate T in the first equation we get:

T = 4950/(x - 50)

Now we can replace this in the other equation to get:

(x + 50)*(4950/(x - 50)  - 4) = 4950

If we multiply both sides by (x - 50) we get:

(x + 50)*4950 - 4*(x + 50)*(x - 50) = 4950*(x - 50)

Now we can solve this for x:

(x + 50)*4950 - 4*(x^2 - 2500) - 4950*(x - 50) = 0

100*4950 - 4*(x^2 - 2500)  = 0

495000 - 4*x^2 + 10000 = 0

505000 = 4*x^2

√(505000/4) = x = 355.3

The average speed of the plane in still air is 355.3 km/hr

If you want to learn more about systems of equations, you can read:

https://brainly.com/question/13476446

Helppp it’s due today

Answers

Answer:

128

Step-by-step explanation:

128!!!! mhm mhm mhm mhm mhm

someone please answer this

Answers

The slope is the number in front of the x. And the y-intercept is the number after the x.

A negative y-intercept would be subtracted from the equation.

Answer is B. Y = 7.5x - 2

Answer:

B

Step-by-step explanation:

y = 7.5x - 2

The slope is 7.5

y- intercept is -2

Faith earned $565 last week. She earned the same amount each
day. If she worked 5 days, how much did she earn each day? Draw
models to help you find the quotient.

Answers

Answer:

113 each day

Step-by-step explanation: i cant draw it out but just put it into a bubble or something sorry

$113 each day

Divide $565 by 5 and you get $113
So you would have 5 groups of 113

To make four cakes, Dena used 6 cups of sugar. Using the same recipe, how much sugar does she need to make one cake?​

Answers

1.5 cups per cup. cups/cake
6 cups/ 4 cakes
= 1.5 cups per cake

Answer:

Step-by-step explanation:

So 4 cakes = 6 sugars, right so try taking it slow and think to yourself, 3=? then take it even slower until you go to 1=0.67 repeated

-16-|-2-4|+7 please solve this for me and explain. i would really appreciate it.

Answers

Answer:

-15

Step-by-step explanation:

-16 -|-6| +7

-16 - 6 + 7

= - 15

Absolute value is just taking the positive value of a number.

Step-by-step explanation:

-16-(-2-4)+7=

-16-(-6)+7=

-16+6+7=

-16+13=

-3

Helpppp for a math exammm

Answers

Answer:

2. angle A is congruent to angle X

Step-by-step explanation:

Select the interval where g(2) < 0.

(graphed on khan academy)

Answers

Answer:

the number 0 Originally called finding the vertical asymptote.

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