You need to pump water out of a flooded basement, using two 50-gallon-per-minute (gpm) pumps. The basement has the dimensions shown and is flooded to a depth of 16 inches. How long will it take to pump the water out of the basement?

Answers

Answer 1

The two pumps working together would pump out water at a rate of 100 gallons per minute. To determine the time it takes to completely pump out the water from the basement, we need to determine the volume of the water in the basement. The dimensions of the basement is 40 feet by 50 feet (given elsewhere) while the depth of the water is said to be 16 inches. From these dimensions, we can calculate for the volume as follows:

V = length x width x depth
length = 50 feet
width = 40 feet
depth = 16 inches ( 1 foot / 12 inches ) = 1.33 feet

V = 50 x 40 x 1.33 = 2666.67 ft^3 = 19948.05 gal

Time = V / rate
Time = 19948.05 gal / 100 gal / min
Time = 199.48 min

Related Questions

one light flashes every 18 seconds and the other flashes every 12 seconds. If they flash together at 8:00pm, what is the next time that they will flash together?

Answers

ur basically looking for the lowest common multiple...and it is 36...so they will flash together again in 36 seconds....so its still gonna be 8:00 pm...just 36 seconds later

What these types of problems want you to find is the least common multiple.

The LCM will be the product of the highest occurring primes of the numbers prime factorization.

12=2*2*3, 18=2*3*3

So the LCM is 2*2*3*3=36

So the lights will flash again at the same time 36 seconds after 8 pm, or if you prefer:

8:00:36

Triangle ABC is similar to triangle DEF. what is the value of x ? Pic attached :) thank you.

Answers

x=6 and 2/3
the proportion is also 3:5

Given that triangles ABC and DEF are similar, the value of x is: D. 6⅔.

What are Similar Triangles?

If two triangles are similar, it means they have the same shape but different sides, and therefore, the ratio of their corresponding sides are equal.

Thus:

BC/EF = AC/DF

Substitute

8/2x = 3/5

Cross multiply

40 = 6x

Divide both sides by 6

x = 6⅔.

In summary, given that triangles ABC and DEF are similar, the value of x is: D. 6⅔.

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Can a triangle be drawn with the following angle measures? Why or why not?
50°, 70°, 70°

Answers

no, the 3 angles of a triangle need to equal 180 degrees

70 +70 +50 = 190 degrees so it cant be a triangle.

Yes. It could, but if the angle measures more than 180, it would be an obtuse triangle.

Find the value of x in the kite below. Angle TCU measures (7x – 1)° Kite TUVW, with congruent angles T and V, diagonals intersect at point C
x = 12.7
x = 14
x = 13
x = 14.3

Answers

<TCU = 7x - 1 = 90

x = 91/7 = 13
Its the 3rd choice

"EXPLAIN PLEASE" Which equation does the graph below represent

Answers

Firstly, the graph has a negative gradient (it plots down to the right side rather than up to the right side). This means that in terms of y, x must be negative (this cuts out two of the four options!) Next, you can just take a coordinate from the line, and match it to one of the equations! So take for example (1,-3). When x=1, y=-3(1). So, the answer is the third equation down!

Find the circumference of the following circle. (Use 3.14 for π.)

15.7 in.
78.5 in.
19.63 in.
31.4 in.

Answers

The formula for circumference is 2pi*r.
The given diameter is 5 and radius is half of diameter, so the radius is 2.5.
Plus that into the formula.
2*pi*2.5 equals approx. 15.7

The circumference of the circle is 15.7 inches.

What is circumference?

Circumference can be defined as the total distance around a circle.

To calculate the circumference of the circle, we use the formula below.

Formula:

P = πd............... Equation 1

Where:

P = Circumference of the circled = Diameter of the circleπ = pie.

From the question,

Given:

d = 5 inchesπ = 3.14

Substitute these values into equation 1

P = 3.14×5P = 15.7 inches.

Hence, The circumference of the circle is 15.7 inches.

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The length of of a rectangle is 10mm and the width is 2.5mm, what is the area

Answers

the area for rectangle is (l x w) or (length times width) or (length x width)

*just in case you get confused

so the length is 10, and the width is 2.5 so you plug in.

10 x 2.5 = 25

your answer is 25 mm²

hope this helps

gross income £12000 tax free allowance £6475 what is taxable amount @20%, tax payable,net income and weekly net amount how to work out?

Answers

We calculate for the taxable income by subtracting the tax free allowance from the gross income.

Taxable income = Gross income - tax free allowanc
Taxable income = (£12,000 - £6,475)
= £5,525

Hence, the taxable income is equal to £5,525.

Net income:
This would be equal to the gross income minus the amount of taxes to be paid.

Net income = Gross income - amount of tax to be paid
Net income = (£12,000) - (0.20)($5,525)
Net income = $10,895

Therefore,
ANSWER: $10,895

A telephone pole casts a shadow that is 37 m long. Find the height of the telephone pole if a statue that is 33 cm tall casts a shadow 83 cm long.

Answers

By similar triangles...

p/37=33/83

p=37(33)/83

p=1221/83 m

p≈14.711 m (to nearest thousandth of a meter, or nearest millimeter)

68.32 divided by 2.8

Answers

Answer:

24.4

Step-by-step explanation:

We are asked to divide 68.32 by 2.8.

First of all, we will write our given problem as a division problem.

[tex]\frac{68.32}{2.8}[/tex]

We can see that our numerator has two digits after decimal and denominator has one digit after decimal, so we will multiply numerator and denominator by 100 as:

[tex]\frac{68.32\times 100}{2.8\times 100}[/tex]

[tex]\frac{6832}{280}=24.4[/tex]

Therefore, the quotient of our given problem is 24.4.

24.4

Further explanation

We will determine the quotient of 68.32 against 2.8.

Notes:

The division process is the arithmetic operation of the distribution of equal parts of a number. The division is the opposite of the multiplication process.

24.4 __

2.8 ) 6 8 . 3 2

- 6 7 . 2 [tex]\downarrow[/tex]

1 . 1 2

- 1 . 1 2

Please see the attached picture.

The terminology of the division operation associated with the above scheme is as follows:

[tex]\boxed{ \ 68.32 \rightarrow the \ dividend \ }[/tex][tex]\boxed{ \ 2.8 \rightarrow the \ divisor \ }[/tex][tex]\boxed{ \ 24.4 \rightarrow the \ quotient \ }[/tex] [tex]\boxed{ \ 0 \rightarrow the \ remainder \ }[/tex]

Therefore, 68.32 divided by 2.8 is divisible because the remainder is zero.

Thus, the quotient of 68.32 divided by 2.8 is 24.4.

- - - - - - - - - -

Alternative Strategy

[tex]\boxed{ \ 68.32 = 56 + 12.32 \ }[/tex]

[tex]\boxed{ \ 68.32 \div 2.8 = (56 \div 2.8) + (12.32 \div 2.8) \ }[/tex]

[tex]\boxed{ \ 68.32 \div 2.8 = 20 + 4.4 \ }[/tex]

[tex]\boxed{\boxed{ \ 68.32 : 2.8 = 24.4 \ }}[/tex]

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Keywords: 68.32 divided by 2.8, find the quotient, 24.4, the division operation, dividend, divisor, the remainder, division scheme

what is the median of 2, 20, 19, 15, 11, 9, 7, 1

Answers

Put them in order and than cross out once from left and than from the right. Repeat till you end up with 1 number in the middle, if no number is left, add the last two you cross out and divide it by 2~

Ans: 10

Your (head) [tex]count [/tex]would be: [tex]8[/tex]

The [tex]sum[/tex] would be [tex]84[/tex]

[tex] \frac{84}{8} = 10.5[/tex]

So, the [tex]mean[/tex]: [tex]10.5 [/tex]

Your [tex]median[/tex] would be: [tex]10 [/tex]

Your [tex]mode[/tex] would be: [tex]2, 20, 19, 15, 11, 9, 7, 1[/tex]

Your answer: [tex]10 [/tex]

Good Luck on Your assignment!

2x+3y=-5
3x-5y=21

The y-value of the solution is
A) 2
B) 7
C) -3
D) No solution

Answers

The value of y would be -3.
Hope it helps.

17.16 is 62.4%of what

Answers

divide

17.16/0.624 = 27.5

A sailfish can swim up to 68 miles per hour. At this rate, how far can a sailfish swim in 1 fourth hour?

Answers

1/4 of an hour

68 miles per hour

multiply 68 by 1/4 = 68/1 *1/4 = 68/4

divide 68 by 4

68/4 =17

it can swim 17 miles

17 miles
you just divide 1/4 by 68 and you get 17

two consecutive even integers have a sum of 346. Find the smailler of these two numbers

Answers

Assume two numbers are n and n+2

Then n+ n+2 = 346 -> 2n = 344 -> n= 172

So the smaller one is 172, another one is 174

Answer:

Smallest number = 172

Step-by-step explanation:

Two consecutive even integers have a sum of 346.

Let x be the smallest number.

We have other number = x + 2

We also have

x + x + 2 = 346

2x + 2 = 346

2 x = 344

x = 172

Smallest number = 172, Other number = 172 + 2 = 174

Smallest number = 172

You begin solving the equation 3+4x=51 by subtracting 3 from both sides. Which is the best choice for Step 2? Subtract 48 from both sides. Multiply both sides by 4. Divide both sides by 4. Divide both sides by 48.

Answers

You will divide both sides by 4.

The solution of the given equation is x=12. Therefore, option C is the correct answer.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 3+4x=51.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Subtract 3 from both sides, we get

4x=48

Divide both sides by 4, we get

x=12

Therefore, option C is the correct answer.

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Jackie's total number of coins is 204.. She has twice as many quarters as nickels and three times as many dimes as nickels.. How many of each coin does she have ??

Thank you so much :)

Answers

Call x the number of nickles that she has.

Then the number of quarters is twice x = 2x

And the number of dimes is three times x = 3x.

So, the total number of coins is x + 2x + 3x = 240

=> 6x = 240

=> x = 240 / 6

=> x = 40

=> Number of nickels = x = 40

Number of quarters = 2x = 80

Number of dimes = 3x = 120

Verification: 40 + 80 + 120 = 240

Answer: nickles 40, quarters 80, and dimes 120.

if structural steel installed in 2.75 floors of a building 2 3/8 day , how long will it take to install steel in 11 floors

Answers

I will take 9.5 days, to install steel in 11 floors.

graph the opposite of the number shown on each number line

Answers

Okay so for number 3 the answer would be 8. For the number 4 the answer would be -4. For number 7 the answer would be -3 and number 9 would be just 0.

What is the initial value of y=-2x-5

Answers

This problem can be solved easily. The equation states that y is a function of x. Since this is the case, then we can get the initial value of the function when x = 0. Therefore by substitution:

y = - 2 x -5

y = - 2 (0) – 5

y = -5 (ANSWER)

Final answer:

The initial value of the equation y=-2x-5 is -5, which represents the y-intercept of the graph where it crosses the y-axis.

Explanation:

The initial value of the linear equation y=-2x-5 refers to the y-intercept, which is the value of y when x is equal to zero. In this equation, when we set x to 0, y will be -5. This is because the initial value is the value of the function when it starts or when no other changes have been applied to x. It is the point where the graph of the equation crosses the y-axis.

A circle with a radius of 61cm is made from a wire.The wire is used to make a sector with a radius of 88cm.What is the angle subtended by the sector?

Answers

The circle has a radius of 61 cm, therefore its circumference is
C = 2π*61 = 122π cm

If the wire forms sector with a radius of 88 cm (as shown in the figure), then the length of the circular sector is
S = 122π - 2*88 = 207.2743 cm

Because the central angle is θ radians, therefore
88*θ = 207.2743
θ = 2.3554 radians
= (2.3554 rad)*(180 deg/rad)
= 134.95°

Answer:
The angle subtended by the sector is 135° (nearest whole number)

f (x) = x3 + 2, g(x) = x2 – 1, h(x) = 3x Evaluate. g(h( f ((–1))) = ?

Answers

h(f(x))=3(x^2+2)

h(f(x))=3x^2+6

g(h(f(x)))=(3x^2+6)^3+2

g(h(f(-1)))=(3(-1)^2+6)^2+2

g(h(f(-1)))=(3+6)^2+2

g(h(f(-1)))=81+2

g(h(f(-1)))=83

Answer:

It's 8

Step-by-step explanation:

Took one for the team and got it wrong to get the right answer which is 8. Just took it. Edg 2020. Hope this helps :)

Btw be confident today cause honey you are beautiful! Just see what a little confidence in yourself can do <3

An item is regularly priced at $40. It is on sale for 45% off the regular price. What is the sale price?

Answers

45% off....means u r paying 55%

55% of 40 = 0.55(40) = $ 22 <== sale price

Convert the percent into a decimal by moving the percent sign two places to the left and removing the % sign.

45% = 0.45

40 * 0.45 = 18

Subtract the discount amount from the original amount.

40 - 18 = 22

So, $22 is the answer.

A bedroom is 5.2 meters wide. find it's width in feet (1 meter= 3.28 feet)

Answers

17.056 because if you multiply the amount of feet in a meter by how many meters there are then you get your answer.

You have $5.85 to buy bananas to make banana bread. A banana costs $0.39. Which inequality represents the number x of bananas you can buy?

Answers

Hi!

So x represents the number of bananas we can buy. Now let's set up the inequality.

0.39x ___ 5.85

Since we can't go greater than 5.85, we can use that less than or equal to sign.

0.39x ≤ 5.85
^ the answer

Hope this helps! :)

0.39b≤5.85 divide both sides by 0.39

b≤15

0≤b≤15

So you can purchase any amount of bananas from zero to fifteen.

~~20 Points~~ If c is a constant such that x^2+25x+c is equal to the square of a binomial, then what is c?

Answers

x^2+25*x+c = (x+number)^2 ---> x^2+25x+c = x^2 + 2*number*x + number^2,

number = 25/2, c = (25/2)^2 = 625/4

Applicant 2 2/3 pages in five minutes how many pages per hour

Answers

2 2/3 pages=8/3 pages
1 hour=60 minutes
Let x represent the total pages in an hour
8/3 pages in 5 minutes
x pages in 60 minutes
Use cross multiply
x(5)=8/3(60)
5x=160
Divided 5 to each side
5x/5=160/5
x=32 pages per hour. As a result, there will be 32 pages per hour. Hope it help!

Answer:  "32 pages [per hour] " .
__________________________________________
Explanation:
_____________________________________________
Set up a ratio:
______________________________________________
2 ⅔ pages : 5 minute:: x pages: 1 hour ; Solve for "x" ;

Rewrite as:
_______________________________________
(2 ⅔ pages) / 5 minutes = "x" pages/ 1 hour.

Cross-multiply ; and write as:

(5 minutes) ("x" pages) = (2 ⅔ pages) / 1 hour. ;
________________________________________
Convert the "5 min" to its values in units of "hour" ;
________________________________________
   5 min = ? hour ?
________________________________________
   5 min * ([tex] \frac{1 hour}{60 min} [/tex] = ([tex] \frac{5}{60} [/tex] hr ;

([tex] \frac{5}{60} [/tex] hr = [(5÷5)/(60÷5)] hr = (1/12) hr.
___________________________________________________
So we take our ratio, which is in the form of an equation, as follows:
___________________________________________________
                 (5 minutes) ("x" pages) = (2 ⅔ pages) * 1 hour.
___________________________________________________
       and rewrite — substituting "(1/12 hr)" in lieu of "(5 min)" — as follows:
___________________________________________________
      (1/12) * ("x" pages) = (2 ⅔ pages) * (1) ; Solve for "x" ;
___________________________________________________
          Divide EACH SIDE of the equation by: "(1/12 hr)"; or, more efficiently, multiply EACH SIDE of the equation by "12 hr" ; since "dividing by "(1/12)" is the same as multiplying by "12" ;

(i.e. on the "left hand side" of the equation:

[ (1/12) x ] / (1/12) = x ;

AND: (1/12)x * 12 = (1x/12) * (12/1) = (12x/12) = x ; the same result.
            {or: (1/12)x * 12 = (x/12) * (12/1) = ? ; The "12's" cancel out to "1's" ;
                        since: "12÷12 = 1" ; and we have:
                                    " (x/1) * (1/1) = x * 1 = x ; which is the same value.
_____________________________________________________
   to isolate "x" on one side of the equation:
_____________________________________________________
          So, as explained above, we multiply EACH SIDE of the equation by "12" ; as follows:
_____________________________________________________
[ (1/12 hr) * ("x") ] * 12 = (2 ⅔ pages) * (1) * (12) ;
______________________________________________
Simplify:
______________________________________________
                  x = (2 ⅔ pages) * (12) ;

                  x = (8/3) * (12/1) = ?

The "3" cancels to a "1" ; and the "12" cancels to a "4" ;
_____________________________________________
since: "12÷3 = 4" ; and since: "3÷3 = 1 ".
_____________________________________________
  So rewrite as:
_____________________________________________
              x = (8/1) * (4/1) = 8 * 4 = 32 pages.
_____________________________________________
Alternate:
_____________________________________________
     When we have: x = (2 ⅔ pages) * (12) ;

                 x = (8/3) * (12/1) = (8*12)/ (3*1) = 96/3 = 32 .

                 x = 32 pages.
_______________________________________________
Alternate:
_______________________________________________
     When we have: x = (2 ⅔ pages) * (12) ;

                 x = (8/3) * (12/1) = (8*12)/ (3*1) ;

                 x = (8*12)/ (3*1) ;
__________________________________________________
We can cancel out the "12 in the numerator" and the "3" in the denominator, and replace with "4" and "1", respectively; and rewrite as:

                 x = (8*4) / (1*1) = (32/1) = 32.

                 x = 32 pages per hour.
__________________________________________________

Determine the common ratio and find the next three terms of the geometric sequence. 2/9, 2/3, 2, ...
a. 3; 3/2, 9/2, 21/2
c. 1/3; 3/2, 9/2, 21/2
b. 3; 6, 18, 54
d. 1/3; 6, 18, 54

Answers

Answer:

The answer is B

Step-by-step explanation:

The next three terms of the geometric sequence are;

⇒ 6, 18, 54

And, The common ratio is,

⇒ 3

What is Geometric sequence?

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Given that;

The geometric sequence is,

⇒ 2/9, 2/3, 2, ...

Now,

Since, The geometric sequence is,

⇒ 2/9, 2/3, 2, ...

Hence, The common ratio = 2/3 ÷ 2/9

= 2/3 × 9/2

= 3

So, The next three terms are find as,

⇒ 2 × 3 = 6

⇒ 6 × 3 = 18

⇒ 18 × 3 = 54

Thus, The next three terms of the geometric sequence are;

⇒ 6, 18, 54

And, The common ratio = 3

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The sum of two numbers is 72. The greater number is 8 more than the smaller number. Which equation can be used to solve for the smaller number? x − (x + 8) = 72 x + (x + 8) = 72 x(x + 8) = 72 x(x − 8) = 72

Answers

let x is the smaller number
bigger number is x + 8

The sum of two numbers is 72
so
x + (x+8) = 72

answer
x + (x + 8) = 72

x + y = 72
y = x + 8......y is the greater number

x + (x + 8) = 72 <==

32.1in.×28.2in.×1ft.=

Answers

since 2 of the 3 are in inches convert the 3rd one to inches

1 foot = 12 inches

now multiply 32.1 x 28.2 x 12 = 10,862.64 cubic inches

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