Hank has to drain his pool so repairs can be done on a crack on the bottom. The company coming to fix the pool is scheduled to arrive at 2:00 PM. They asked Hank to be sure to have his pool drained before they arrive. It is currently 8:00 AM Will Hank have the pool drained in time? The dimensions of the pool are 2m deep, 10m long, and 8m wide. Water can be drained at a rate of 130 gallons per minute.​

Answers

Answer 1

Answer:

The answer to the question: "Will Hank have the pool drained in time?" is:

Yes, Hank will have the pool drained in time.

Step-by-step explanation:

To identify the time Hank needs to drain the pool, we can begin with the time Hank has from 8:00 AM to 2:00 PM in minutes:

Available time = 6 hours * 60 minutes / 1 hour (we cancel the unit "hour")Available time =  360 minutes

Now we know Hank has 360 minutes to drain the pool, we're gonna calculate the volume of the pool with the given measurements and the next equation:

Volume of the pool = Deep * Long * WideVolume of the pool = 2 m * 10 m * 8 mVolume of the pool = 160 m^3

Since the drain rate is in gallons, we must convert the obtained volume to gallons too, we must know that:

1 m^3 = 264.172 gal

Now, we use a rule of three:

If:

1 m^3 ⇒ 264.172 gal160 m^3 ⇒ x

And we calculate:

[tex]x = \frac{160 m^{3}*264.172 gal }{1m^{3} }[/tex] (We cancel the unit "m^3)x = 42267.52 gal

At last, we must identify how much time take to drain the pool with a volume of 42267.52 gallons if the drain rate is 130 gal/min:

Time to drain the pool =[tex]\frac{42267.52gal}{130\frac{gal}{min} }[/tex](We cancel the unit "gallon")Time to drain the pool = 325.1347692 minutesTime to drain the pool ≅ 326 minutes (I approximate to the next number because I want to assure the pool is drained in that time)

As we know, Hank has 360 minutes to drain the pool and how it would be drained in 326 minutes approximately, we know Hank will have the pool drained in time and will have and additional 34 minutes.


Related Questions

jakie długości mają boki równobocznego, którego wynosi 18cm???klasa 5 PLZZ NA SZYBKO :(((((

Answers

Answer:

Boki tego trójkąta mają 6 cm.

Step-by-step explanation:

Which expression is the result of factoring the expression below by taking out its greatest common factor?
4x^2+16x-4=?
Choose 1 answer:
A. 2x(2x^2+8x−2)
B. 2(2x^2+8x−2)
C. 4x(x^2+4x−1)
D. 4(x^2+4x−1)

Answers

Answer:

4(x^2 +4x-1)

Step-by-step explanation:

4x^2+16x-4

Factor out a 4

4(x^2 +4x-1)

Answer:

D. 4 ( x² + 4 x - 1 )

Step-by-step explanation:

4 x ² + 16 x - 4

Taking out common factor = 4

4 ( x² + 4 x - 1 )


According to exponent rules, when we divide the expressions we
exponents.

Answers

The quotient rule for exponents states that if we divide exponents with the same base, then we can subtract the exponents and keep the base unchanged.

REAL ANSWER FOR BOTH OF THEM PLEASE THERES MORE POINTS ON THIS ONE

Answers

The first question is 83

The second is 235

hope this helps!

Answer:

the answer to your first question is 235 degrees or B

the answer to your second question is 83 degrees

Step-by-step explanation:

for the first question simply add all of the angles

for the second question a straight line/angle is 180 degrees so simply subtract 97 from 180 to get 83 degrees

A jar contains 8 marbles: 3 are red and 5 are blue. What is the probability of 1 point
selecting a red marble, replacing it, and then selecting another red marble?

Answers

Answer:

the probability of getting red marbles=

4/8=1/2

Step-by-step explanation:

Two tangents are drawn to a circle from an external point. If the measure of the major arc is 260º, what is the measure, in degrees, of the angle formed by the two tangents?

Answers

Answer:

80degrees

Step-by-step explanation:

Using the expression to get the minor arc;

minor arc + major arc = 360degrees

minor arc + 260 = 360

minor arc = 360 - 260

minor arc = 100degrees (central angle)

Note that the central angle and that formed from the intersection of the tangents (X) are supplementary. Hence;

100 + X = 180

X = 180 - 100

X = 80degrees

Ms. Emily had a total of 428.5 ounces of pretzels to put into 5 bowls for a party. She put an equal number of ounces of pretzels into each bowl. How many ounces of pretzels did Ms. Emily put into each bowl?

Answers

Answer:

85.7 ounces.

Step-by-step explanation:

428.5/5 = 85.7

Therefore, Ms. Emily put 85.7 ounces of pretzels into each bowl.

Answer:

85.7 ounces

Step-by-step explanation:

428.5 ounces ÷ 5=85.7 ounces

- Find the equation of the line in slope-intercept form that passes through the points (8,4) and (4,0)

Answers

Answer:

y = 1x - 4

Step-by-step explanation:

y2 - y1 / x2 - x1

0 - 4 / 4 - 8

-4 / -4

1

y = 1x + b

0 = 1(4) + b

0 = 4 + b

-4 = b

CAN I GET THE REAL ANSWER I NEED THIS 100% MY MOM IS GOING WHOOP ME TILL I GOT 10 STAINS ON MY BUTT AND LEGS PLEASE HELP

Answers

Answer:

Haha sure mate! Its 116 :) Your thing is wrong but I would select 106 because it seems like a more reasonable mistake

Step-by-step explanation:

Give me braiest answer if I saved you a whooping

Answer:

The answer to your question is 244 degrees

Step-by-step explanation:

Simply add 60, 90, 82, and 12 to get 244 degrees.

Factor the polynomial 3X² + 5X - 2.

Answers

Answer:

(x+2)(3x-1)

Step-by-step explanation:

3x^2 + 5x -2

we need two numbers which gives 6 when multiplied and 5 when subtracted.

so the numbers are 6 and 1 because 6*1=6 and 6-1 =5.S0,

3x^2 + (6-1)x -2

3x^2 +6x -x -2

take common from first two terms and from third and fourth term

3x(x+2) -1(x+2)

take (x+2) as common

(x+2)(3x*1 -1*1)

(x+2)(3x-1)

Concrete can be purchased by the cubic yard. How much will it cost to pour a slab 11 feet by 11 feet by 2 inches for a patio if the concrete costs $46.00 per cubic yard?

Answers

Answer:

$34.04

Step-by-step explanation:

The dimensions of a slab is 11 feet by 11 feet by 2 inches or 3.67 yards, 3.67 yards and 0.055 yards

We need to find the cost to pour a slab.

We know that the volume of a cuboid shape is given by :

V = lbh

Put all the values,

V = 3.67 × 3.67 × 0.055

V = 0.74 yards³

Cost,

C = $46 × 0.74

C = $34.04

Hence, the required cost is equal to $34.04.

Jeremy uses 2 feet 3 inches of board for each birdhouse he builds. How many inches of board does he need to make 6 birdhouses? Use a number line to solve?

Answers

Answer:

The length of board required is 13 feet 6 inches .

Step-by-step explanation:

Board required to make one bird house = 2 feet 3 inches

= 2 x 12 + 3 = 27 inches

Number of bird houses = 6

So, the board required  

= 6 x 27 = 162 inches

13.5 feet = 13 feet 6 inches

the sum of two integers is 310. if one of them is - 52. find the other​

Answers

Answer:

Integer = 362

Step-by-step explanation:

Let the two integers be x and y

Sum of two integers, x + y = 310 ------(1)

Given one of the integer, Let x = -52

Substitute x = -52 in (1) ,

                                      -52 + y = 310

                                              y = 310 + 52

                                              y = 362


[tex]\huge\mathfrak\red{please \: solve \: } \\ \\ {\huge{\underline{\bf{\green{factorise: - }}}}} \\ \\ {\huge{\boxed{\sf{\purple{2x {}^{2} + 9x + 10 }}}}}[/tex]

Answers

Answer:

(x + 2)(2x + 5)

Step-by-step explanation:

2x^2 + 9x + 10 =

This is a trinomial of the form ax^2 + bx + c, where a is not 1.

Step 1: Try to factor out a common factor.

In this case, there is no common factor in all terms.

We will now factor by grouping.

Step 2. Find the product ac.

ac = 2 * 10 = 20

Step 3. Find two factors of ac whose product is ac and whose sum is b.

In this case, we need two numbers whose product is 20 and whose sum is 9.

Those numbers are 4 and 5.

Step 4. Break up the middle term using the two numbers we just found.

9x becomes 4x + 5x

Now we have

= 2x^2 + 4x + 5x + 10

Step 5. Factor by grouping. Factor a common factor out of the first two terms. Factor a common factor out of the last two terms.

= 2x(x + 2) + 5(x + 2)

Finally, factor out the common factor, x + 2.

= (x + 2)(2x + 5)

Answer: (x + 2)(2x + 5)

Please help with these problems!!!

Answers

Answer:

12345678901234567890

(-6)(4) preform indicated operation

Answers

Answer:

-24

Step-by-step explanation:

(-6)(4)

The indicated operation is multiplication

-24

Answer:

-24

Step-by-step explanation:

Multiply -6 and 4

In the decimal expansion of the fraction 1/13, what digit is in the 2021st decimal place?

please answer correctly (full answers)

Answers

Answer:

2

Step-by-step explanation:

1/13 = 0.07692307692307

1/13 has a 6 place repeating decimal

076923   076923

2021/6 = 336 5/6

There will be 336 complete sets and then

2021 will be the 5th place of 076923

HELPPPPPPPPPPPPPPPPPPP ASAP!!!!!!

Answers

Answer:

there is 8 quadrilateral shapes

If P = (-3,5), find the image
of P under the following rotation.
90° counterclockwise about the origin
([?], [
[]
Enter the number that belongs in
the green box

Answers

Answer:

(-5 , -3)

Step-by-step explanation:

use formula of 90 degree counterclockwise rotation about the origin

formula:

(x , y) = (-y , x)

(-3 , 5) = (-5 , -3)

The required coordinate of the point after 90° clockwise rotation is (-5, -3).

What does it mean by rotation?

A shape or item is rotated when it is spun around a certain point (center) without being moved in any other way. Size and shape are unaffected by rotation.

The given coordinate of the point is (-5, -3).

Counterclockwise rotation about the origin is given as,

(x , y) = (-y , x)

(-3, 5) = (-5 , -3)

Thus, the required coordinate of the point after 90° clockwise rotation is (-5, -3).

Learn more about rotation here:
https://brainly.com/question/1571997
#SPJ2

For the function f(x)= |x+2| -3 , explain the difference between f(2x) and 2f(x). Comparing the y-intercept , x-intercepts

Answers

Answer:

For a function f(x), the y-intercept is the value of f(0), while the x-intercepts are the values of x such that:

f(x) = 0.

Here we can also start with some information about dilations.

For a function f(x), a vertical dilation of scale factor k is written as:

g(x) = k*f(x)

While, again, for a function f(x), an horizontal dilation of scale factor k is written as:

g(x) = f(x/k)

So when here they ask us the difference between f(2x) and 2f(x)

We can say that the first one is a horizontal dilation of scale factor 1/2, while the second is a vertical dilation of scale factor 2.

Now let's analyze the intercepts for each case.

if f(x) = |x + 2| - 3

2*f(x) = 2*(|x + 2| - 3)

        = 2*|x + 2| - 6

The y-intercept is:

2*f(0) = 2*|0 + 2| - 6 = 4 - 6 = -2

and the x-intercepts are given by:

2*f(x) = 0 = 2*|x + 2| - 6

           6 = 2*|x + 2|

         6/2 = |x + 2|

           3 = |x + 2|

Here we have two solutions for x,

x = 1:             3 = |1 + 2| = |3| = 3

x = -5:           3 = |-5 + 2| = |-3| = 3

Now for the other transformation, we have:

f(2*x) = |2*x + 2| - 3

the y-intercept is:

f(2*0) = |2*0 + 2| - 3

         = |2| - 3 = -1

(So the y-intercept is different)

And the x-intercepts are given by:

f(2*x) = 0 =  |2*x + 2| - 3

           3 = |2*x + 2|

           3 = 2*|x + 1|

           3/2 = |x + 1|

Here the two solutions are:

x = 1/2

x = -5/2

So the x-intercepts are also differents.

This happens because in one case, we affect the function horizontally and in the other case vertically, so one could expect that the resulting functions are different (thus, have different intercepts)

Find the equation of a vertical line passing through the point B(2,-1)

Answers

Answer:

x = 2

Step-by-step explanation:

In a vertical line, all x-coordinates are the same.

x = 2

Answer:

x =2

Step-by-step explanation:

A vertical line means the x value remains constant

The x value is 2

x =2

For which set of numbers is the number 4 a common multiple?
A
B.
C.
D.
4.8 and 16
2.4 and 8
1, 2 and 4
0 and 4
ОА​

Answers

Answer:

A is the answer

Step-by-step explain

Answer:

Hello There!!

Step-by-step explanation:

I believe the answer is O A.4.8 and 16.

hope this helps,have a great day!!

~Pinky~

Place the following linear equation in slope intercept form: 6x - 4y = 9

Answers

Answer:

y = 3/2 x - 9/4

Step-by-step explanation:

bring all the y's to one side.

4y = 6x-9

divide by 4 to isolate the y

y = 6/4x - 9/4

simplify

y = 3/2 x - 9/4

Answer:

y = (3/2)x - 9/4

Step-by-step explanation:

Slope intercept form is

y = mx + b

------------------

6x - 4y = 9

subtract 6x from both sides

-4y = -6x + 9

Divide both sides by -4

y = (3/2)x - 9/4

What is the sum of 7x2 − 3x + 5 and 8x + 2?

Answers

The answer is 21 + 5x
7x2-3x+5 = 11x+5
8x+2 = 2(4x+1)

This figure is known as a triangular prism. Find the surface area in square feet.
10 ft
3 ft
7 ft
8 ft

Answers

Step-by- step explanation : Perimeter of the triangular base=10+10 + 16 =36 ft Height of the prism n = 15ft Base area = Area of the triangle = 1 2 (Base)(Height ) = 1 2 (16)(6); =48 square ft Surface area of the triangular ism = 2(base area) + (perimeter * heig ) =2(48); + 36 * (15) = 96 + 540 =636

will mark brainliest
show workings​

Answers

Answer:

a) 20 km away fro the starting point.

b) The bearing from P to R is 80°.

c) Q is 60 km North P.

d) Q is - 60 km west of P

Step-by-step explanation:

Stating Facts in the Question:

P to Q is 80 km and bearing 330°

It turned around, Q to R is 60 km and bearing 250°.

a) Picture a number line (Look at the first image)

You go 80 to the right. You turn around and go 60 to the left.

80 - 60 = 20

20 km away fro the starting point

b) Picture a number line (Look at the second image)

P to Q is bearing 330°

Q to R is 60 km is bearing 250°

P to Q is red

Q to R is blue

330° - 250° = 80°

The bearing from P to R is 80°

c) P to Q is 60 km

The plane went forward or North so the answer is 60 km.

Q is 60 km North P.

d) Q to P is 60 km

Q is not to the west of P

Q is - 60 km west of P

Solve 3n – 5p + 2n = 10p for n.

Answers

Answer:

n = 3p

Step-by-step explanation:

3n−5p+2n=10p

5n−5p+5p=10p+5p

5n=15p

5n/5 = 15p/5

n = 3p

Answer:

3n+2n=10p+5p

5n=15p

Divide both sides by 5

n=3p

The cost of a High Definition television now averages $700, but the cost is decreasing about 15% per year. In how many years will the cost be under $200?

Answers

Answer: 7.7 years

Step-by-step explanation:

Given

The cost of HD TV is $700 and it is decreasing at the rate of 15% per year

After one year it becomes

[tex]\Rightarrow 700-700\times 15\%\\\Rightarrow 700(1-0.15)[/tex]

after 2 year it becomes

[tex]\Rightarrow 700(1-0.15)-700(1-0.15)\times 15\%\\\Rightarrow 700(1-0.15)(1-0.15)\\\Rightarrow 700(1-0.15)^2[/tex]

Suppose, after x years it becomes $200

[tex]\Rightarrow 200=700(1-0.15)^x\\\\\Rightarrow \dfrac{2}{7}=0.85^x\\\\\text{Taking log both sides}\\\\\Rightarrow x=\dfrac{\ln (\frac{2}{7})}{\ln (0.85)}\\\\\Rightarrow x=7.7\ \text{years}[/tex]

Thus, it takes 7.7 years for the cost to come under $200.

Find the area of a quadrilateral wxyz with wx =24m, xy= 50m, yz = 40m, zw = 30m and diagonal being 50m

Answers

Answer:

The area of the quadrilateral is 1,182.46 m2.

Step-by-step explanation:

In order to find the area of a quadrilateral WXYZ, with WX=24m, XY=50m, YZ=40m, ZW=30m and the diagonal being 50m, the following calculation has to be done:

X = 0,5 24 × 30 × sen 24 + 0,5 × 50 × 40 × sen 40

X = 1,182.46 m2

PLEASE SOMEONE HELP ME I WILL GIVE BRAINLIEST

Answers

20 a: x = 5

20 b: x = 12

17 c: 30
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