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Ne4ueva [31]
3 years ago
12

The variable z is directly proportional to x, and inversely proportional to y. When x is 7 and y is 7, z has the value 2. What i

s the value of z when x= 10, and y= 12
Mathematics
1 answer:
Rina8888 [55]3 years ago
7 0

Answer:

z = \frac{5}{3}

Step-by-step explanation:

Given z is directly proportional to x and inversely proportional to y then the equation relating them is

z = \frac{kx}{y} ← k is the constant of proportionality

To find k use the condition x = 7, y = 7 and z = 2

k = \frac{zy}{x} = \frac{2(7)}{7} = 2

z = \frac{2x}{y} ← equation of proportionality

When x = 10 and y = 12, then

z = \frac{2(10)}{12} = \frac{20}{12} = \frac{5}{3}

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WILL GIVE BRAINLIEST PLEASE ANSWER If a circle is dilated by 5/3 and the area of the larger circle is 100pi square cm, then what
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Answer:

We have a small circle, that is dilated by a factor of 5/3 creating a larger circle.

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And the area of a circle of diameter d, is:

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knowing that the diameter of the large circle is (5/3)*D, we can find the value of D.

A = pi*( (5/3)*D/2)^2 = 100*pi cm^2

let's solve this for D:

pi*( (5/3)*D/2)^2 = 100*pi cm^2

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Then the area of the smaller circle will be:

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Mamont248 [21]

9514 1404 393

Answer:

  • yes
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Step-by-step explanation:

The distributive property tells you the factor outside parentheses multiplies each of the terms inside parentheses.

The difference 6 -3 inside parentheses has two terms, and there is a factor of 5 outside those parentheses. The setup for the distributive property is there, so the distributive property can be used.

__

The outside factor multiplies each inside term. The sign can be left with the inside term, or can be placed between the products.

  5 × (6 - 3) = (5×6) - (5×3)

__

or

  5 × (6 - 3) = (5×6) +(5×(-3))

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3 years ago
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