A 12-gallon tub has a faucet that lets water in at a rate of 3 gallons per minute, and a drain that lets water out at a rate of 1.5 gallons per minute. If you start with 3 gallons of water in the tub, how long will it take to ﬁll the tub completely?

Answers

Answer 1

Answer: Vol of water required to fill up the tub = 12-3 = 9
Rate of water per min =    3 -1.5 = 1.5/min
Using the formula           vol   =   rt
                                            t = v/r
                                            t =    9/1.5    =   6
time taken =    6 mins

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HELP!!!! Divide. Write your answer in lowest terms as a proper or improper fraction (not a mixed number). 11/21 divided by 22/7

Answers

My answer is 1/6. Here's How I worked it out:

11/21 / 22/7 is the same as or = to 11/21 * 7/22 which = 77/462 and then divide both the numerator and denominator by 77 and you get 1/6. (In other words simplify 77/462). Hope this helped :)

Please help! See image below.

Answers

A cube is identified as a 3D solid object with 6 square faces.

Note the term SQUARE. Finding the area of a square, you simply multiply the measure of one side by itself.

Area = a²

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Find the area of triangle of 7m 9m

Answers

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A family of 5 is going on a cross-country vacation. For a bit of variety, the family of 5 decides that they will frequently change the seating arrangement in their 5-seated vehicle. How many seating arrangements can they make if ALL of them have their driver's license.

Answers

Answer:

Step-by-step explanation:

This questions bothers permutation since permutation talks about arrangement.

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If a family of 5 is going on a cross-country vacation, and decided to change their seating arrangement. The total seating arrangement that they can have is;

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5! = 20*6

5! = 120 different arrangements

The function f(x) = –2(x – 10)(x – 200) represents a company's monthly profit as a function of the number of items sold, x. What is the maximum monthly profit?

Answers

expand
f(x)=-2x^2+420x-4000
in form
f(x)=ax^2+bx+c
vertex (highest or lowest point, depending on graph)
vertex is -b/2a that is the x value
to find the profit, plug that x value back in

f(x)=-2x^2+420x-4000
-b/2a=-420/(2)(-2)=-420/-4=105

x min valu is 105
input to find profit
f(105)=-2(105-10)(105-200)
f(105)=-2(95)(-95)
f(105)=18050

max profit is $18050

Answer:

$18050 Is your answer

Step-by-step explanation:

Intercepts of 9x^2+9y=81

Answers

$x=0\n \n 9x^2+9y=81\n \n 9.0^2+9y=81\n \n 9y=81\n \n y=(81)/(9)\n \n \boxed{y=9}$

$y=0\n \n 9x^2+9.0=81\n \n 9x^2=81\n \n x^2=(81)/(9)\n \n x^2=9\n \n \boxed{x= \pm 3}$

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