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satela [25.4K]
3 years ago
7

Libby can finish a paper in 2 hours. Ethan can finish the same paper in 4 hours. How

Mathematics
1 answer:
ycow [4]3 years ago
4 0

Answer:

1.33333 hours

Step-by-step explanation:

Given :

Time taken by Libby = 2 hours

Time taken by Ethan = 4 hours

rate = 1 / time taken

Libby's rate = 1 /2

Ethan's rate = 1/4

Combined rate = Libby's rate + Ethan's rate

Combined rate = 1/2 + 1/4 = 3/4

Time taken = 1 / combined rate

Time taken = 1 / (3/4)

Time taken = 4 /3

Time taken = 1.33333 hours

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Goshia [24]

Answer:

8

Step-by-step explanation:

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3 years ago
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I don’t know how to do any of this
mojhsa [17]

Answer:

The length of x in #1 is 15.57

Step-by-step explanation:

Let's use #1 as an example to teach show you how to do this. In a right triangle we can solve these using trig. In this particular one, we have the measure adjacent to the angle and we are looking for the one opposite of the angle. So we look at all the trig functions and select the one that uses both of those two terms.

Sinα = Opp/Hyp

Tanα = Opp/Adj

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As you can see, Tan is the function we are looking for. So we plug in all known information into that equation.

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3 0
3 years ago
Samantha deposit 300 in an account that earns an annual interest rate of 2.5 after nine months she computes the simple interest.
antiseptic1488 [7]

Answer:

She is doing a mistake of calculating interest after 9 months in place of after 12 months.

Step-by-step explanation:

Samantha deposit $300 in an account that earns an annual interest rate of 2.5%.

Now, Samantha after nine months of deposit computes the simple interest.

She is doing a mistake of calculating interest after 9 months in place of after 12 months.

The calculation of interest should be on a yearly basis (i.e. 12 months) as the interest rate is 2.5% per year. (Answer)

4 0
4 years ago
A rectangle with an area of 81 cm² has a length that is 3 times the width. How long is the width of the rectangle? Round to the
LenaWriter [7]

Answer:

W ≈ 5.2 cm

Step-by-step explanation:

Represent the length and width by L and W respectively.

Then L * W = 81 cm^2, and L = 3W.

Substituting 3W for L in the first equation, we get:

3W * W - 81 = 0, or 3W^2 - 81 = 0.

To make it easier to find the final answer, rewrite 3W^2 - 81 = 0 as

            81

W^2 = ------- = 27

              3

Then W (the width) is the positive square root of 27, or W ≈ 5.2 cm

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3 years ago
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What's The Answer??????????????????
Yuri [45]
f(x) =  \dfrac{x}{2} - 2

g(x) = 2x^2 + x - 3

(f + g)(x) =  \dfrac{x}{2} - 2+ 2x^2 + x - 3

(f + g)(x) = 2x^2 + \dfrac{3}{2}x - 5
7 0
3 years ago
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