3 years ago

Use inductive reasoning to make a conjecture about the given quantity

Mathematics

1 answer:

kolbaska11 [484]3 years ago

4 0

What's the given quantity?

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12 Leon plants 3 rows of tomatoes with n plants in

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3n + 5 =

Step-by-step explanation:

n = plants per row

3 rows of tomatoes

1 row of beans

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I bought a new hat for $32. What would be 5% sales tax?

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Answer:

$1.60 for tax, $33.60 all together

Step-by-step explanation:

32 x .05 = 1.6

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An environmental design architect creates a model of a park. The scale is 1.5 cm = 2.5 feet. How tall is the actual tree. The tr

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12.5 feet

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4 years ago

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An excursion party had $2.00 to pay in total, but before the bill was paid 10 people from the party went away, and those that re

KatRina [158]

Answer:

20 people

Step-by-step explanation:

Let x be the number of people initially. We can find the amount each of them has to pay at first

2 / x

But when 10 people walk away, the remaining (x - 10) has to pay 10 cents more to get the same total of $2. This would means

$(\frac{2}{x} + 0.1)(x-10) = 2$

From here we can perform cross multiplication

$2 - 20/x + 0.1x - 1 = 2$

$0.1x - 20/x - 1 = 0$

Multiply both sides by 10x:

$x^2 -10x - 200 = 0$

$x= \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

$x= \frac{10\pm \sqrt{(-10)^2 - 4*(1)*(-200)}}{2*(1)}$

$x= \frac{10\pm30}{2}$

x = 20 or x = -10

Since x can only be positive we will pick x = 20

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3 years ago