How many quarts does it take to fill a kitchen sink

Answers

Answer 1
Answer: The average kitchen sink has a width of approximately 23.5 inches, a length of approximately 31.5 inches, and a depth of approximately 21 inches. 

Multiplying these values together, we can see that the volume of the average kitchen sink is about 15545.25 cubic inches.

The conversion of cubic inches to liquid gallons is 1 cubic inch = approximately 0.004329 gallons.

Multiplying these numbers, we can see that 15545.25 cubic inches is the same as approximately 67.29538725 gallons. Now, we just have to multiply that number by 4, since there are 4 quarts in a gallon.

67.29538725 * 4 = 269.181549

It takes approximately 269.181549 quarts to fill the average kitchen sink.
Hope that helped =)

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Josh's chicken soup recipe calls for 2 1 / 2 L of chicken stock. Josh makes 3 1 / 4 times the recipe for a family reunion. How much chicken stock does Josh use to make soup for the family reunion? Express your answer as a mixed number in the simplest form. Enter your answer in the box.
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Which of the following is not equivalent to the formula d = rt?

Answers

The second choice ... r = dt ... is not equivalent to the formula ' d = rt ' .

Each of the other choices IS equivalent to it.

prove algebraically that the straight line with the equation x=2y+5 is a tangent of the circle with the equation x^2+y^2=5

Answers

Answer:

Step-by-step explanation:

To prove the straight line is tangent to the circle:

  1. substitute the straight line into the circle equation
  2. discriminant of the new equation has to be equals to 0

(1)

substitute x = 2y + 5 into x² + y² = 5

x² + y² = 5

(2y + 5)² + y² = 5

4y² + 20y + 25 + y² = 5

5y² + 20y + 20 = 0

y² + 4y + 4 = 0

(2)

discriminant of y² + 4y + 4 = 0 has to be equals to 0

\boxed{D=b^2-4ac}

D = 4² - 4(1)(4)

D = 0

∴ Proven

What is the solution of the system of equations?6x – 2y = 4
–9x + 3y = 12

infinitely many solutions
no solution
(0, –2)
(–2, 4)

Answers

Hello,
Answer B: no solution

6x-2y=4 (1)
-9x+3y=12 (2)

9*(1)+6*(2)==>0y=108
==> no solution

Write an expression that can be used to check the quotient of 646 divided 3

Answers

An expression used to check the quotient would be this:
3x=646
Then, do as you normally would and divide 646 by 3:
646/3 = x
x≈215.33

Simplify in picture below

Answers

Answer:

11

Step-by-step explanation:

Use PEMDAS

11 make sure you use pemdas

Biologists are treating a lake contaminated with bacteria. The level of contamination is changing at a rate of dN/dt=-1110/t² -230 bacteria percubic centimeter per day, where is the number of days since treatment began. Find a function N(t) to estimate the level of contamination if the
level after I day was 5380 bacteria per cubic centimeter.

Answers

Answer: the function N(t) to estimate the level of contamination in the lake is:

N(t) = -1110 ln(t) - 230t + 1110 ln(I) + 230I + 5380

Step-by-step explanation: ∫ dN/dt dt = ∫ (-1110/t² -230) dt

N(t) = -1110 ln(t) - 230t + C  

N(I) = -1110 ln(I) - 230I + C = 5380

C = 1110 ln(I) + 230I + 5380