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icang [17]
3 years ago
12

The amount a spring stretches varies directly as the weight of the object attracted to it. If an 8 ounce weight stretches a spri

ng 10 centimeters, how much weight will stretch it 15 centimeters
Mathematics
1 answer:
Rom4ik [11]3 years ago
3 0

Answer:

Weight of <u>12 ounces</u> will stretch spring of 15 centimeters.

Step-by-step explanation:

Given:

The amount a spring stretches varies directly as the weight of the object attracted to it.

An 8 ounce weight stretches a spring 10 centimeters.

Now, to get how much weight will stretch it is 15 centimeters.

According to question:

<em>A spring of 10 centimeters stretches a weight of 8 ounce.</em>

<em>Then a spring of 1 centimeter stretches a weight of = \frac{8}{10}=0.8\ ounce.</em>

<em>So, a spring of 15 centimetres stretches a weight of = 0.8\times 15=12\ ounces.</em>

Therefore, weight of 12 ounces will stretch spring of 15 centimeters.

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ollegr [7]
Hello! 

For a:

How I would do this, is I would first say if all 46 animals (heads) were chickens, how many legs would there be? Each chicken has 2 legs, so 46 * 2 = 92. The total amount of legs is 96 as stated in the question, so if all of the animals were chickens, the farmer would be 4 legs short.

Now to add rabbits into the equation. Rabbits have 4 legs, and chickens have 2. You want to find the difference between the two, because as you add rabbits to the animals the farmer has, then you have to take away chickens at the same time. 4-2 = 2, so for each rabbit you replace, you add 2 legs. 

Since the farmer is 4 legs short with all chickens, then you just divide that 4 by the 2 legs you add by replacing a chicken with a rabbit.

4 / 2 = 2 rabbits

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b)

You can follow the same steps: I'm assuming all are child tickets for now:

3.05 * 100 = $305

And now you find how much money short you are.

498.6 - 305 = 193.6

Next, you find the difference in the ticket costs.

5.25 - 3.05 = 2.20

And you divide to find the number of adult tickets.

193.6 / 2.2 = 88

Since 100 tickets were sold, and 88 adult tickets were sold, that means 12 child tickets were sold.
7 0
3 years ago
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riadik2000 [5.3K]

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Step-by-step explanation:

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Choose the correct classification of 3x^4 − 9x^3 − 3x^2 + 6.
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Answer:

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puteri [66]

Answer:

Equation: y = -3x -2

Graph: Attached below ↓↓↓↓↓

Step-by-step explanation:

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Picture attached:

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