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Bad White [126]
4 years ago
13

the total cost to rent a pontoon boat for h hours can be represented by the expression 30h+65. if brianna can spend a maxium of

200, how many hours can she rent the boat?
Mathematics
2 answers:
Ratling [72]4 years ago
6 0

Answer: 4.5 hours.

Step-by-step explanation:

Hi, to answer this question we have to write an inequality with the information given;

Cost: 30h+65 (h= hours)

So, the cost must be less or equal to the money that Brianna can spend.(200)

Mathematically speaking:

30h+65 ≤ 200

Solving for h

30h≤ 200 -65

30h ≤ 135

h ≤ 135/30

h≤ 4.5

She can rent the boat for 4.5 hours.

Fed [463]4 years ago
3 0

Answer:

4 hours

Step-by-step explanation:

30(4)+65= 185

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Find the least common denominator for these two rational expressions
kogti [31]

factor the 2 denominators:-


a^2 - 6a + 9 = (a - 3)(a - 3)


a^2 - 8a + 15 = (a - 3)(a - 5)


((a - 3) is common to both sets of factors so the LCD is:-


(a - 3)(a - 3)(a - 5) or this can be written as (a -3)^2(a - 5)




4 0
3 years ago
Knowing the population standard deviation, a 95% confidence interval infers that the population mean ___________. is between 0 a
nevsk [136]

Answer:

within ±1.96 standard deviations of the sample mean

Step-by-step explanation:

A 95% confidence interval is found using the formula C = 1 - α, and some other stuff, but let's focus on that for now. Using the formula:

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α = .05

If α = .05, that means a 2-sided confidence interval would be found using the sample mean and the Z-score Z(subscript α/2), or Z.₀₂₅ because α AKA .05 divided by 2 = .025. From there, you take this either to your calculator or a Z-table (or perhaps you have a chart that lists the common CI values), and see that for the area to be .025 beneath a standard normal curve, your Z value is ±1.96 ("plus or minus" because we're considering a 2-sided confidence interval).

3 0
3 years ago
Please help me solve numbers 4, 5, and 6 with some type of explanation as to how you got that answer.
Mila [183]

Answer:

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6 0
3 years ago
NEED HELP PLEASE HELP ME
slavikrds [6]

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7 0
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Read 2 more answers
8/x-5 - 9/x-4 = 5/x^2-9x+20
adelina 88 [10]
If you're using the app, try seeing this answer through your browser:  brainly.com/question/2752942

_______________


Solve the equation:

\mathsf{\dfrac{8}{x-5}-\dfrac{9}{x-4}=\dfrac{5}{x^2-9x+20}\qquad\qquad(x\ne 5~and~x\ne 4)}


Reduce the fractions at the left side so that they have the same denominator:

\mathsf{\dfrac{8(x-4)}{(x-5)(x-4)}-\dfrac{9(x-5)}{(x-4)(x-5)}=\dfrac{5}{x^2-9x+20}}\\\\\\
\mathsf{\dfrac{8x-32}{x^2-4x-5x+20}-\dfrac{9x-45}{x^2-4x-5x+20}=\dfrac{5}{x^2-9x+20}}\\\\\\
\mathsf{\dfrac{8x-32}{x^2-9x+20}-\dfrac{9x-45}{x^2-9x+20}=\dfrac{5}{x^2-9x+20}}\\\\\\
\mathsf{\dfrac{8x-32-(9x-45)}{x^2-9x+20}=\dfrac{5}{x^2-9x+20}}


Numerators must be equal:

\mathsf{8x-32-(9x-45)=5}\\\\
\mathsf{8x-32-9x+45=5}\\\\
\mathsf{8x-9x=5+32-45}\\\\
\mathsf{-x=-8}\\\\
\mathsf{x=8}\quad\longleftarrow\quad\textsf{this is the solution.}


I hope this helps. =)


Tags:  <em>rational equation fraction solution algebra</em>

7 0
3 years ago
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