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Trava [24]
4 years ago
15

I desperately need help with this question????? I got 2 different answers and don't know which one is right. So please help me h

ere is the question
Students from three classes at Hudson valley elementary school are planning a boat trip. On the trip there will be 20 students in each class along with 11 total teachers and 13 total parents. Each boat seats 10 people. How many boats will they need to rent? Explain how you solved the problem
Mathematics
2 answers:
sesenic [268]4 years ago
5 0
They will need to rent 5 boats. 20+11+13=44 and each boat seats 10 people so 44÷10= 4 remainder:4  and you cant keave 4 people out they need another boat.
ICE Princess25 [194]4 years ago
5 0

<span>each class has 20 students</span>

<span>3 classes // 20 x3= 60</span>

<span>60 students + 11 teachers+13 parents = 84 people total </span>

<span>as you cant put half people in boats you round up to 90 </span>

<span>meaning you would need 9 boats to have enough space for all of them xx</span>

<span>hope this helped x</span>

<span>
</span>

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Mike has a total of 50 quarters and dimes. The coins total value is $10.55. How many quarters
Mariana [72]

Answer:

Mike will only need 42 quarters to make 10.50

Step-by-step explanation:

3 0
3 years ago
Find x and the measure of each side.
Anna71 [15]

Answer:

x=27.5

FG=72.5

GH=60

HF=47.5

Step-by-step explanation:

Sum of angles in a triangle=180

Therefore, FG+GH+HF=180

Substituting the values we have,

(3x - 10) + (2x+5) +(x+20) = 180

Collecting like terms

3x+2x+x = 180 +10 - 5 - 20

6x = 165

X= 27.5

FG = (3x - 10) = 3(27.5) - 10

FG= 72.5

GH= (2x+5) = 2(27.5)+5

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HF= x+20 =27.5+20

HF=47.5

5 0
2 years ago
Find integra of xlnxdx
Mademuasel [1]

Answer:

\dfrac{1}{2}x^2\ln x - \dfrac{1}{4}x^2+\text{C}

Step-by-step explanation:

<u>Fundamental Theorem of Calculus</u>

\displaystyle \int \text{f}(x)\:\text{d}x=\text{F}(x)+\text{C} \iff \text{f}(x)=\dfrac{\text{d}}{\text{d}x}(\text{F}(x))

If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a <u>constant of integration</u>.

\boxed{\begin{minipage}{4 cm}\underline{Integrating $x^n$}\\\\$\displaystyle \int x^n\:\text{d}x=\dfrac{x^{n+1}}{n+1}+\text{C}$\end{minipage}}

Increase the power by 1, then divide by the new power.

Given <u>indefinite integral</u>:

\displaystyle \int x \ln x \:\: \text{d}x

To integrate the given integral, use Integration by Parts:

\boxed{\begin{minipage}{5 cm}\underline{Integration by parts} \\\\$\displaystyle \int u \dfrac{\text{d}v}{\text{d}x}\:\text{d}x=uv-\int v\: \dfrac{\text{d}u}{\text{d}x}\:\text{d}x$ \\ \end{minipage}}

\text{Let }u=\ln x \implies \dfrac{\text{d}u}{\text{d}x}=\dfrac{1}{x}

\text{Let }\dfrac{\text{d}v}{\text{d}x}=x \implies v=\dfrac{1}{2}x^2

Therefore:

\begin{aligned}\displaystyle \int u \dfrac{dv}{dx}\:dx & =uv-\int v\: \dfrac{du}{dx}\:dx\\\\\implies \displaystyle \int x \ln x\:\:\text{d}x & = \ln x \cdot \dfrac{1}{2}x^2-\int \dfrac{1}{2}x^2 \cdot \dfrac{1}{x}\:\:dx\\\\& = \dfrac{1}{2}x^2\ln x -\int \dfrac{1}{2}x\:\:dx\\\\& = \dfrac{1}{2}x^2\ln x - \dfrac{1}{4}x^2+\text{C}\end{aligned}

Learn more about integration here:

brainly.com/question/27805589

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kap26 [50]
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4 years ago
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