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yanalaym [24]
4 years ago
8

2 water taps A B fill a tank in 12 hrs. Tap A takes 10 hrs less than tap B to till tank separately. Find time taken by tap B to

till tank
Mathematics
1 answer:
Hatshy [7]4 years ago
5 0

Answer:

11 hours

Step-by-step explanation:

Setting up a system of equations and using the substitution method will give you the number of hours used by each tap.  Let a = time for tap A and b = time for tap B:

a + b = 12  (A and B fill a tank in 12 hours)

a = b - 10 (tap A takes 10 hours less than tap B)

Substitute 'b - 10' for 'a' in the first equation:

b - 10 + b = 12

Combine like terms: 2b - 10 = 12

Add 10 to both sides: 2b - 10 + 10 = 12 + 10 or 2b = 22

Divide by 2: 2b/2 = 22/2

Solve for b: b = 11 hours

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Step-by-step explanation:

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3 years ago
Find the rational roots of x4 + 8x3 + 7x2 – 40x – 60 = 0 (1 point)2, 6. –6, –2. –2, 6. –6, 2.
stiv31 [10]
If you would like to find the rational roots of x^4 + 8 * x^3 + 7 * x^2 - 40 * x - 60 = 0, you can do this using the following steps:

x^4 + 8 * x^3 + 7 * x^2 - 40 * x - 60 = 0
(x^2 - 5) * (x^2 + 8 * x + 12) = 0
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1. x = - sqrt(5)
2. x = sqrt(5)
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The correct result would be -6 and -2.
8 0
3 years ago
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The intensity of radiation at a distance x meters from a source is modeled by the function given by R(x)=kx2, where kk is a posi
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This would be the average value of R(x) between 10 m and 50 m :

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Suppose the population of a certain city is 3339 thousand. It is expected to decrease to 2694 thousand in 50 years. Find the per
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Answer:

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Step-by-step explanation:

The percentage change in a value is computed from ...

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The decrease in 50 years is about 19.3%.

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Given h of x equals 2 times the square root x minus 5 end root, which of the following statements describes h(x)?
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The option that describes h(x) is B. The function h(x) is increasing on the interval (5, ∞).

<h3>What is a function?</h3>

In mathematics, a function simply means a relation between the inputs and the outputs.

In this case, the information given is that h(x) is 2 times the square root x minus 5. The square root of the negative number cannot be taken, therefore, the domain of the function is restricted.

Since the domain is restricted, the function is increasing. Therefore, the function h(x) is increasing on the interval (5, ∞).

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