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Len [333]
3 years ago
11

Tim has already earned $30 mowing lawns. He earns $10 per lawn. Write and solve an inequality to determine how many more lawns h

e will have to mow to have at least $75 for a new lawnmower. Interpret the solution.
Mathematics
1 answer:
Fantom [35]3 years ago
5 0

Answer:

Tim needs to mow 5 more lawns in order to buy his new lawnmower

Step-by-step explanation:

1) Tim has already mowed $30 worth of lawns

2) Tim makes $10 per mow

4) Tim needs to make $75 total for his new mower

5) $75 - $30 = $45

6) Tim needs to make $45 in order to get his new mower

7) 5 x 10 = 50

8) Tim needs to mow 5 lawns in order to make over $45

9) If Tim only mowed 4 lawns he would make $40 and still be $5 short

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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}

Distance rowed down stream = 2400 m

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

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

Distance rowed up stream = \frac{1}{6} \textrm{ of distance rowed downstream}=\frac{1}{6}\times 2400 = 400\ m

Time spent rowing up stream = \frac{Distance}{Speed}=\frac{400}{x-10}\ s

We know that,

\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}

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Adding 60 to both sides.

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

6x=x+70

Subtracting both sides by x

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Dividing both sides by 5.

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

∴ x=14

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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