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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.

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Nine less than three times a number is greater than forty
pentagon [3]
Start with an equation.
Nine less... so -9
3 times a number = 3x
Greater than 40 is >40

So put together is 3x-9>40
When solving I imaging the greater than sign as an equal sign. Less confusing.
3x-9=40
3x=49
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7 0
3 years ago
Simplified form of expression 125 2/3
masha68 [24]

Answer:

377/3

Step-by-step explanation:

In general if we have a fraction ( mixed) as ,

a\dfrac{c}{d}

Then the improper fraction will be ,

<u>Improper</u><u> fraction</u><u> </u><u>:</u><u>-</u><u> </u>

\dfrac{ d\times a + c}{d}

Using this concept we have ,

→ 125 ⅔

→ 125 × 3 + 2 / 3

→ 375 + 2/3

→ 377/3

<h3>Hence the simplified form of the expression is 377/3 .</h3>
3 0
3 years ago
The miller’s are comparing babysitting services for their two children. the babysitters block charges a rate of $15 an hour per
jonny [76]

Answer:

2.5 hours

Step-by-step explanation:

BB = 25 + (15x)2

SS = (20x)2

25 + 30x = 40x

10x = 25

x = 2.5

5 0
2 years ago
Read 2 more answers
Evaluate the function. f(x) = 3x² – x Find f(10)​
kirill [66]

Answer:

<em>f(10)=290</em>

Step-by-step explanation:

<u>Function Evaluation</u>

Given a function f(x) as an explicit expression, finding f(x=a) implies substituting the value of x by a in every instance it occurs.

We are given the function:

f(x)=3x^2-x

It's required to find f(10). We replace the x for 10:

f(10)=3*10^2-10

Operating:

f(10)=3*100-10

f(10)=300-10

f(10)=290

Thus, f(10)=290

4 0
3 years ago
Half the quotient of 4 and a number y
shtirl [24]

Answer:

y = 1

Step-by-step explanation:

Hello!

2x2=4 so 2 is the quotient and half of 2 is obviously 1. So you add y to that and its y = 1.

5 0
3 years ago
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