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4 years ago

Give all possible proportions using the numbers 2 5 8 and 20

Mathematics

1 answer:

Pavlova-9 [17]4 years ago

4 0

Answer:

$\frac{2}{5},\frac{1}{4},\frac{1}{10},\frac{5}{2},\frac{5}{8},\frac{4}{1},\frac{8}{5},\frac{10}{1}$

Step-by-step explanation:

Proportions are fractions that can be created using the numbers given. Let's pair each and reduce if possible.

Starting with 2:

2/5

2/8 = 1/4

2/20 = 1/10

Then 5:

5/2

5/8

5/20 = 1/4

Then 8:

8/2 = 4/1

8/5

8/20 = 2/5

Lastly 20:

20/2 = 10/1

20/5 = 4

20/8 = 5/2

So, we can see some are repeating, hence the unique proportions are:

2/5, 1/4, 1/10, 5/2, 5/8, 4/1, 8/5, 10/1

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Find an equation for the line thatis tangent to the curve y=5x^3-5x at the point (1,0)

lukranit [14]

Hello,

The gradient of a tangent can be found by differentiating the equation:
$\frac{d}{dx}(5x^3-5x) = 15x^2-5$

Subbing in the x value of 1, the gradient therefore is 15-5 = 10, giving us m in our general equation for a line y=mx+c, i.e. y = 10x + c

We know at x=1, y is 0. Subbing this in:
0 = 10 + c, and solving for c = -10

Therefore, the equation of the tangential line at (1,0) is $y=10x-10$ .

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3 years ago

(12 - 5)2 + (83 - 9x6)

Lesechka [4]

Answer:

Step-by-step explanation:

Solve by PEMDAS.

Parentheses first.

12-5 is 7 and 9x6 is 54, 83-54 is 29.

(7)^2+(29)

Exponent next,

49+29

add them up and you get 78.

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3 years ago

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harkovskaia [24]

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3 years ago

Marci finds the difference of 431-249 first she estimates using compatible numbers.she find 425-250=175 then she find the differ

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Answer:

Step-by-step explanation:

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3 years ago

A self-serve frozen yogurt restaurant charges its customers according to the weight of their filled frozen yogurt cup. So, the a

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If the price of the yogurt is directly proportional to the weight of the purchase, then it can be expressed as:

Price of yogurt = weight of purchase

With the given above, it can be further expressed as:
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5.04/12

Thus, if the cup weighs 8 oz and we don't know how much it costs, then the ratio should be:

n = 8 oz, or in fractions:
n/8

After this, simply equate the two and cross multiply.
5.04 / 12 = n/8
5.04(8) = 12n
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Thus, the 8 oz. cup of yogurt costs $3.36.

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