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Flura [38]
3 years ago
12

One hose can fill a small swimming pool in 65 minutes. A larger hose can fill the pool in 35 minutes. How long will it take the

two hoses to fill the pool working together?
Mathematics
1 answer:
tatuchka [14]3 years ago
8 0

Answer:

22.75 minutes or 22 minutes 45 seconds

Step-by-step explanation:

Okay, this is a working together question. Let’s walk through it together!

Firstly, let’s say the total volume of the swimming pool is x sq.meters

Now, the rate of the smaller hose would be x/65 while that of the larger will be x/35

Now, their combined rate would be x/65 + x/35 = 100x/2275

Now, since the volume is x, the time taken is simply, the volume divided by the joint rate. That is mathematically equal to x divided by 100x/2275

x * 2275/100x = 2275/100 = 22.75 minutes or 22 minutes 45 seconds

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ziro4ka [17]

Answer:

  • (6-u)/(2+u)
  • 8/(u+2) -1
  • -u/(u+2) +6/(u+2)

Step-by-step explanation:

There are a few ways you can write the equivalent of this.

1) Distribute the minus sign. The starting numerator is -(u-6). After you distribute the minus sign, you get -u+6. You can leave it like that, so that your equivalent form is ...

  (-u+6)/(u+2)

Or, you can rearrange the terms so the leading coefficient is positive:

  (6 -u)/(u +2)

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2) You can perform the division and express the result as a quotient and a remainder. Once again, you can choose to make the leading coefficient positive or not.

  -(u -6)/(u +2) = (-(u +2)-8)/(u +2) = -(u+2)/(u+2) +8/(u+2) = -1 + 8/(u+2)

or

  8/(u+2) -1

Of course, anywhere along the chain of equal signs the expressions are equivalent.

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3) You can separate the numerator terms, expressing each over the denominator:

(-u +6)/(u+2) = -u/(u+2) +6/(u+2)

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4) You can also multiply numerator and denominator by some constant, say 3:

  -(3u -18)/(3u +6)

You could do the same thing with a variable, as long as you restrict the variable to be non-zero. Or, you could use a non-zero expression, such as 1+x^2:

  (1+x^2)(6 -u)/((1+x^2)(u+2))

7 0
3 years ago
Solve the equation: (x − 4)(x − 3) = 0
trasher [3.6K]

Answer:

x=4, x=3

Step-by-step explanation:

This is most often the format taken from the polynomial form of this problem, which is x^2-7x+12, and when it is in this format you just take each set of numbers within each parenthesis and set it to zero, then solve. In this case, x can be equal to either 3 or 4.

8 0
3 years ago
Whats the domain and range of f (x)=7x^5 .
Furkat [3]

Answer:

The domain of this function: (-∞,∞), or {x|x∈ℝ}

The range of this function: (-∞,∞), or {y|y∈ℝ}

8 0
2 years ago
Linear equation- Please help☹️
Orlov [11]

Answer:

(2,4) (3,1) (5,-5)

Step-by-step explanation:

7 0
3 years ago
In a bucket, there are 5 red marbles, 3 blue marbles, and 2 green marbles. A marble is chosen randomly and then put back into th
nadezda [96]

Answer:

The required probability is \frac{1}{10}.

Step-by-step explanation:

Probability:

The ratio of the favorable outcomes to the all possible outcomes.

Given that, in a bucket, there are 5 marbles red in color, 3 marbles blue in color and 2 marbles green in color.

Total number of marbles  are = 5+3+2= 10

The probability that first marble was red

=\frac{\textrm{Number of red marbles}}{\textrm{Total number of marbles}}

=\frac{5}{10}

=\frac12

The probability that second marble was green is

=\frac{\textrm{Number of green marbles}}{\textrm{Total number of marbles}}

=\frac{2}{10}

=\frac15

The required probability is

=\frac12 \times \frac15

=\frac1{10}

8 0
3 years ago
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