1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MAXImum [283]
3 years ago
14

A tank can be filled by one pump in 50 minutes and by another in 60 minutes. A third pump can drain the tank in 75 minutes. If a

ll 3 pumps work simultaneously, how long will it take to fill the tank? (Answer in hours)
Mathematics
1 answer:
Deffense [45]3 years ago
4 0

let's label each pump A, B, and C, just for convenience. A fills the tank by 1/50 every minute, B fills the tank by 1/60 every minute, and C drains it by 1/75 every minute. Now we can put them all into one function: t(1/50 + 1/60 - 1/75) = 1, where t = our time in minutes and 1 = the tank being full.

next, we solve for t: t = 300/7 minutes, or approximately 42.86 minutes.

You might be interested in
How much cheaper per ounce is purchasing 7 ounces for $7.84 compared to purchasing 5 ounces for $5.70
WARRIOR [948]
7.84/7 = $1.12
5.70/5 = $1.14
1.14 - 1.12 = .2
2 cents cheaper
7 0
3 years ago
Todea what did one pencil say to another mathematics algebra order of operations answer
Serjik [45]
Part 1

6- \frac{18-3^2}{4+(2-3)} =6- \frac{18-9}{4+(-1)}  \\  \\ =6- \frac{9}{4-1} =6- \frac{9}{3} =6-3 \\  \\ =3



Part 2

7-8\div4(3^2-1)=7-8\div4(9-1) \\  \\ =7-8\div4(8)=7-8\div32=7- \frac{1}{2} \\  \\ =6  \frac{1}{2} = \frac{13}{2}



Part 3

2-2(2-5)^2+3^2=2-2(-3)^2+9 \\  \\ =2-2(9)+9=2-18+9=-7



Part 4

(5^2-9\cdot3)^2-11=(25-27)^2-11 \\  \\ =(-2)^2-11=4-11=-7



Part 5

[(2-3)^2-5]\cdot4=[(-1)^2-5]\cdot4 \\  \\ =(1-5)\cdot4=-4\cdot4=-16



Part 6

12-11\cdot2+16\div8=12-22+2 \\  \\ =-8



Part 7

-5+1\cdot3-(7-2^3)=-5+3-(7-8) \\  \\ =-2-(-1)=-2+1=-1



Part 8

8+2\cdot3-14\div7=8+6-2 \\  \\ =12



Part 9

(8-2)^2+\frac{1}{4}[4-3(6-10)]=6^2+\frac{1}{4}[4-3(-4)] \\  \\ =36+\frac{1}{4}[4-(-12)]=36+\frac{1}{4}(4+12)=36+\frac{1}{4}(16) \\  \\ =36+4=40



Part 10

7+(2-3^2)\cdot5=7+(2-9)\cdot5 \\  \\ =7+(-7)\cdot5=7+(-35)=7-35 \\  \\ =-28



Part 11

3-2[2^3+(-1)^3]=3-2[8+(-1)] \\  \\ =3-2(8-1)=3-2(7)=3-14 \\  \\ -11



Part 12

18+6\div3(2^2+5)=18+6\div3(4+5) \\  \\ =18+6\div3(9)=18+6\div27=18+ \frac{2}{9} \\  \\  =18 \frac{2}{9}
8 0
3 years ago
Value of ratio 3/4 to 2
MrMuchimi

Answer:

3/8 or 0.375

Step-by-step explanation:

0.75/2 = 3/8

4 0
3 years ago
The nursing department of a college surveyed two hundred graduates from their programs about their current
mel-nik [20]

Answer: The required probability is 0.008.

Step-by-step explanation:

Since we have given that

Probability of bachelor's degree = 0.45

Probability of working in nursing = 0.85

Probability of both = 0.4

So, Probability of getting a graduate is currently working in nursing, given that they earned a bachelor's degree would be :

P(N|B)=\dfrac{P(N\cap B)}{P(B)}\\\\P(N|B)=\dfrac{0.4}{0.45}\\\\P(N|B)=0.008

Hence, the required probability is 0.008.

3 0
3 years ago
X^3 + 4x^2 + 5x +20 factor by grouping
mixas84 [53]

Step-by-step explanation:

x³ + 4x² + 5x + 20

x² (x + 4) + 5 (x + 4)

(x² + 5) (x + 4)

5 0
3 years ago
Other questions:
  • Petrolyn motor oil is a combination of natural oil and synthetic oil. it contains 2 liters of natural oil for every 3 liters of
    9·1 answer
  • a catalog store has 6% of its orders returned for a refund. the owner predicts that a new candle will have 812 returns out of th
    8·2 answers
  • The measure of angle F is 130 degrees.
    11·2 answers
  • If an item
    13·1 answer
  • Carmen is drawing a card from a standard deck of playing cards. Find each probability below.
    14·1 answer
  • Five hundred and nine divided by three
    15·1 answer
  • Who can answer all my math questions right?
    15·2 answers
  • PLZ ANSWER QUESTION IN PICTURE
    9·1 answer
  • PLEASE HELP DUE IN 1 HOUR
    6·1 answer
  • the lines whose equations are 7x-3y=1 and 6x+y=8 intersect at one point. What is the x-coordnate at that point
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!