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Tpy6a [65]
2 years ago
12

I NEED HELP ASAP

Mathematics
2 answers:
Zigmanuir [339]2 years ago
7 0

Hey! I believe this is the answer you're looking for:

brainly.com/question/16663256

Verizon [17]2 years ago
6 0

Step-by-step explanation:

The volume of paint used, V liters, is directly proportional to the area, A square feet, that the paint can cover.

This is written as:

\begin{gathered}V \propto A\\V=kA,$ where k is the constant of proportionality\end{gathered}

(a)5 liters of paint can cover a wall with an area of 75 square feet.

V=5 liters, A=75 square feet.

Substitution into V=kA

5=75k

k=5/75

\text{Constant of proportionality, k}=\dfrac{1}{15}Constant of proportionality, k=151

(b)Substitution of k=\dfrac{1}{15}k=151 into V=kA

The equation relating V and A is:

V=\frac{1}{15}AV=151A

(c)If A=180 Square feet

Volume of paint needed,

\begin{gathered}V=\frac{1}{15} X 180\\=12$ liters\end{gathered}

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You decide to enter in a rowing competition. To train, you go to the boat house and begin rolling down stream. You row for the s
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Answer:

Time spent rowing down stream =100\ seconds

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Step-by-step explanation:

Let speed of boat in still water be = x\ ms^{-1}

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Speed of boat down stream = \textrm{Speed of boat in still water +Speed of current}= (x+10)\ ms^{-1}

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Time spent rowing down stream = \frac{Distance}{Speed}=\frac{2400}{x+10}\ s = \frac{Distance}{Speed}=\frac{2400}{x+10}\ s

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\textrm{Time spent rowing down stream =Time spent rowing up stream}

So,

\frac{2400}{x+10}=\frac{400}{x-10}

Cross multiplying

2400(x-10)=400(x+10)

Dividing both sides by 400

\frac{2400(x-10)}{400}=\frac{400(x+10)}{400}

6(x-10)=x+10

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Adding 60 to both sides.

6x-60+60=x+10+60

6x=x+70

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6x-x=x+70-x

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Dividing both sides by 5.

\frac{5x}{5}=\frac{70}{5}

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Speed of boat in still water =14\ ms^-1

Time spent rowing down stream =\frac{2400}{14+10}=\frac{2400}{24}=100\ s

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